Nexum – Infinitesimal Eternity

ISBN: 9798266918306

No man ever steps in the same river twice,

for it’s not the same river and he’s not the same man.

Heraclitus

CONTENTS

PROLOGUE, 11

Part 1: REFLECTIONS ON TIME AND ETERNITY, 17

Part 2: SEMANTICS OF THE TIE, 39

Part 3: ONTOLOGY OF THE TIE, 65

Part 4: EPISTEMOLOGY OF THE TIE, 89

Part 5: ETHICS OF THE TIE, 111

Part 6: SCIENCE AND THE TIE, 139

Part 7: A HUMANIST CONCLUSION, 167

GLOSSARY, 185

BIBLIOGRAPHY, 203

PROLOGUE

In undertaking the task of developing a theory of eternity, I have sought to approach one of the most profound and ancient philosophical questions with as much sincerity and rigor as possible. My proposal, which I call the Theory of Infinitesimal Eternity (TIE), aims to challenge traditional notions of time and eternity, not only as abstract and metaphysical concepts, but also as elements deeply interwoven with everyday human experience. From the earliest sketches of this idea to its most recent formulation, my goal has been to offer a vision that revalues lived time—each instant as a space where the finite and the infinite converge—suggesting that eternity is not something distant, but rather something that unfolds infinitesimally in every fraction of time we experience.

This essay does not seek to establish a final or definitive truth about time and eternity. On the contrary, I embrace the paradox inherent to this theory: that knowledge, like time itself, is always incomplete, always in becoming. I have sought to do justice to this idea by exploring its nuances and complexities through comparisons with great thinkers, both past and present, whose ideas have accompanied me on this intellectual journey. The references to classical and contemporary philosophers are not merely a comparative exercise, but an attempt to show how the TIE engages in dialogue with centuries of philosophical thought, questioning and expanding some of its most fundamental concepts.

The inclusion of allusions to Henri Bergson’s theories is essential within the framework of the Theory of Infinitesimal Eternity, for his thought offers a rich foundation for exploring the nature of time and human experience. Bergson, with his distinction between measured time (mechanical, quantifiable time) and lived time (duration), proposes that the true essence of time lies in subjective experience and the continuity of life. This notion aligns with the TIE in its emphasis on the active creation of time through every lived instant, where temporality is not simply a succession of moments, but a dynamic process of creation. Bergson’s idea of duration as a qualitative experience complements the TIE by underlining that time is not merely an external framework, but a dimension deeply embedded in our existence. Thus, in engaging with Bergson, the TIE not only enriches itself but also establishes a bridge between philosophy and lived experience, inviting a more integral understanding of time and eternity.

When compared to the theories of authors such as Daniel Dennett, one may observe a connection in the idea that consciousness and experience are not mere reactions to external stimuli but active constructions of the human being. Dennett, with his focus on evolution and cognition, suggests that time is an integral component in the way we interpret our experiences—similar to how the TIE proposes that time is “invented” in every instant. However, whereas Dennett centers on biology and neuroscience to understand human experience, the TIE ventures into the philosophical realm to explore the ethical and existential dimensions of each lived moment.

On the other hand, when considering Michel Foucault, his analysis of social time and the structure of power reveals how societies organize and perceive time according to their own dynamics. Foucault argues that time is not merely a neutral framework but is deeply embedded in relations of power. The TIE could critique this notion, suggesting that although social structures influence our temporal experience, each individual still possesses the power to create and live time meaningfully through their choices and experiences—highlighting a resistance to the forces that attempt to homogenize it.

Judith Butler, with her theory of performativity, also offers an interesting comparison. Her idea that identity and being are products of repeated acts may be aligned with the TIE in the sense that each act and decision in time contributes to the construction of our reality and of who we are. Both approaches thus emphasize that being is not something static but something that is continually created and redefined in every instant.

Gilles Deleuze’s vision of time and becoming, with its emphasis on change and multiplicity, also enters into dialogue with the TIE. Deleuze proposes that time is a process of difference and repetition, and that the experience of temporality is not reduced to a straight line, but is rather a network of connections and possibilities. The TIE complements this idea by considering that in every instant there opens a field of infinite possibilities, where eternity interweaves with temporality.

Jacques Derrida, in turn, offers us the notion of différance, which emphasizes how meaning is displaced and deferred in time. This idea can be seen in parallel with the TIE, which argues that eternity is never fully attained, and that each instant carries within it a portion of the eternal that cannot be entirely grasped. The relationship between time and meaning thus becomes an ongoing dialogue, where the search for understanding is always in motion, reflecting the dynamic nature of existence.

When considering Roger Penrose, known for his work in cosmology and the nature of time, his theories on gravity and relativity can shed light on certain aspects of the TIE. Penrose argues that time has a direction, and that at the cosmological level, there is a sense in which time flows toward a state of increasing entropy. This notion can be related to the TIE because, while time may be considered a limited resource, within the realm of human experience each instant can be regarded as a victory against the void of non-time.

By interweaving the perspectives of these authors with the TIE, a fabric of ideas is established that invites us to rethink the relationship between time and eternity, and that challenges our preconceived notions of life, being, and death—encouraging deep reflection on our existence and how we live each instant.

It has also been indispensable for me to engage in dialogue with thinkers such as Byung-Chul Han, who, in his critique of temporal acceleration in modernity, proposes a revaluation of time as a qualitative space that we have lost in the age of productivity and performance. In a certain sense, the TIE proposes a form of reconciliation with lived time, suggesting that eternity is neither lost nor unattainable, but contained in every moment, in every decision, and in every action—though only in imperceptible fragments. Han, with his focus on time in modernity, and the TIE, with its insistence on the value of the instant in relation to eternity, share a concern for the quality of human life within the temporal framework we inhabit.

Through these comparisons with both classical and contemporary philosophers, I have sought to show that the TIE is not an isolated theory, but rather a continuation of a long tradition of philosophical thought that addresses essential questions about being, time, and eternity. Nevertheless, I also hope that this theory contributes in an original way, offering a new framework for thinking about the eternal—not as something static and unattainable, but as something that dwells within each of us, in every fraction of time we live, though in an infinitesimal way.

With humility and enthusiasm, I offer these pages to the reader in the hope that this essay may inspire new ways of thinking about time, life, and our relationship with eternity. My intention is not to provide definitive answers, but to open questions and reflections that allow us to deepen our understanding of our existence and the time that defines it. If every instant contains a fraction of eternity, then it is our responsibility to live with the awareness that, in every moment, we touch the eternal.

PART 1

REFLECTIONS ON TIME AND ETERNITY

1. THE THEORY OF INFINITESIMAL ETERNITY: A NEW VISION OF TIME AND ETERNITY

The Theory of Infinitesimal Eternity (TIE) presents a bold and disruptive conception of two fundamental notions in the history of thought: time and eternity. Philosophically, eternity is often treated as an absolute, immutable, and transcendent state, while time is understood as a finite flow—dynamic, fleeting, and limited to human experience. The TIE, however, dismantles this classical dichotomy, proposing that eternity is not a static reality situated outside of time, but one that is intimately interwoven with every instant of existence.

The Theory of Infinitesimal Eternity introduces a key concept that revolutionizes our understanding of eternity: it conceives of it as a mathematical limit that tends toward zero infinitely, thereby transforming the traditional notion of eternity into something dynamic and fluid. This perspective stands in stark contrast to Plato’s vision, in which eternity was conceived as a world of immutable, perfect Ideas, entirely separate from time and sensory experience. The TIE, by suggesting that eternity can be viewed as a series of infinitesimals approaching zero—that is, non-time—yet never fully reaching it, opens the door to a conception where time and eternity are not opposing entities but interdependent.

Here, each temporal instant becomes a vessel containing fragments of eternity, though in an infinitesimal and continuously diverging form—a proposition that resonates with Henri Bergson’s ideas on duration. Yet the TIE goes further, emphasizing that we do not merely experience time, but actively create it. Furthermore, the TIE’s proposal may be compared to Immanuel Kant’s notion of time as a form of pure intuition, where temporality is essential to our experience of the world. However, unlike Kant—who regarded time as a static framework for perception—the TIE posits that it is a process in constant evolution, intrinsically bound to life itself.

In this semantic reconfiguration, eternity ceases to be a distant destiny or an ideal state, becoming instead an inherent element of human experience. Thus, each moment of life is a manifestation of the eternal that, though finite, contains the essence of the infinite—challenging the view that time and eternity are mutually exclusive. In this sense, the TIE not only redefines eternity but also invites us to rethink our relationship with time, life, and death. It proposes an existence where the ephemeral and the eternal are inextricably intertwined, and where every second lived becomes an affirmation of infinity in its most delicate and subtle form.

2. TIME AS THE INVENTION OF LIFE

Within the framework of the Theory of Infinitesimal Eternity, time cannot be conceived as an external, preexisting structure independent of life, but rather as life’s constant invention—an intrinsic product of its very manifestation. Every living being, by existing, becomes an active creator of time, an artificer who forges finite chronology as they live and experience, thereby generating a dynamic response to immutable eternity. While eternity remains a stable and indifferent backdrop—an infinite, static presence underlying all that exists—life, in its fleeting eruption, momentarily ruptures that eternal continuity. In living, life generates the temporal: it creates instances, seconds, and moments, finite structures that give rise to becoming, succession, and change. Each vital instant is a victory over eternity, an act of creation amid an ocean of infinitude, a fluctuating play between the time invented with each breath and the eternity that surrounds it, threatening to absorb it once again into immutability.

Life, in its flow, does not merely inhabit time but actively generates it, producing it as it expands and unfolds. Time is not revealed as an external entity regulating the processes of life, but as something that springs forth from life itself, configured in the tension between the finitude of existence and the infinitude of the eternal. Thus, every living being, in its mere existence, is both a creator and a destroyer of time: engendering it with each instant of life, and consuming it with each step toward death.

Finite time may be understood as a juggler’s game, a precarious and continuous dance unfolding at the edge of the abyss of non-time. From this perspective, time is not a linear succession of measurable instants governed by physical laws, but rather a subtle and fragile resistance against eternity, which stretches toward absolute void. Each second, each moment of existence, functions like a sphere tossed into the air in the act of juggling—a temporal fragment defying the gravity of infinitude and the abyss of the eternal, striving to remain in balance and in motion amid the overflow of non-time. This juggling metaphor illustrates the dynamic and vulnerable nature of finite time, which struggles to sustain and perpetuate itself in its constant interaction with eternity. Finite time, in this vision, is not a solid or immutable entity, but a series of delicate, momentary movements—cast into the air of experience, shifting in unstable equilibrium, never reaching the total void of non-time, but always approaching it. In each turn, in each oscillation of the temporal sphere, the complexity of time as continuous, active creation is revealed: a perpetual act of resistance and adaptation in the face of the immutable infinite that surrounds it, a juggler’s game in which life and time intertwine in a ceaseless challenge to eternity.

Every second of life is an ephemeral yet meaningful victory over eternity, a creative act through which existence unfolds and asserts itself against the immensity of non-time. In this framework, living is not a mere passive experience of passage through time, but an active process of invention, where each instant is a triumph over the inertia of the eternal. Eternity, understood as a static and indifferent backdrop, tends toward the dissolution of all that is particular and contingent, but life, in its constant becoming, interrupts this tendency, introducing temporal fragments that resist that absolute state. With each heartbeat, life conjures time, sculpting finite moments that, however brief, represent an affirmation of temporality against eternity. This unfolding of existence is not a mere prolongation of being in time, but a creative act through which the finite takes form and meaning—becoming unrepeatable moments that rise up against the vastness of the eternal. Each second lived is, in this sense, a small yet constant rebellion against absorption into eternity, a spark of life refusing to be wholly subsumed by the eternal and immutable. Without life, time would have no meaning, for it is life that invents, organizes, and experiences it.

This vision recalls the philosophical notions of thinkers such as Henri Bergson, who distinguished between chronological time and lived duration, arguing that the true experience of time is qualitative rather than merely quantitative. Bergson maintained that lived duration reflects the richness of human experience, emphasizing that lived time cannot be reduced to mechanical or scientific measures. Yet the Theory of Infinitesimal Eternity goes beyond this duality by positing that each temporal moment inherently contains a fraction of infinitesimal eternity. This conception suggests that time and eternity are not opposing concepts, but are continuously and indivisibly interrelated—where the eternal inscribes itself into every temporal instant. In this way, each lived experience becomes a unique manifestation of the eternal, and each temporal instant echoes an infinitude unfolding in the present. This transforms our understanding of time into a richer, more complex dimension, where eternity is not perceived as a mere abstraction but as an integral part of temporal experience.

An example that illustrates this interrelation may be found in the work of philosopher and cultural theorist Susan Sontag, who, in her essays on aesthetic experience and the perception of time, argues that works of art can capture moments of lived duration that transcend chronological time. Sontag suggests that the appreciation of art allows individuals to experience a form of eternity within the immediacy of the moment, where each observation and interpretation reveals deeper dimensions of existence. Just as the TIE proposes that each instant contains a fraction of infinitesimal eternity, Sontag posits that aesthetic experience enables people to connect with a reality that extends beyond mere temporal succession, showing how art becomes a vehicle for experiencing the eternal through the ephemeral. In this light, art emerges not only as an object of contemplation but also as a medium that facilitates the encounter with the eternal in everyday life, suggesting that aesthetic appreciation becomes an act of resistance against the inexorability of time. Both perspectives, though from different vantage points, highlight the possibility that the eternal is present in every moment of lived experience, thereby enriching our understanding of time and human existence.

Walter Benjamin, particularly in his work The Work of Art in the Age of Mechanical Reproduction, argues that the technical reproduction of art transforms aesthetic experience, allowing the spectator to access moments that were once ephemeral and, in turn, revealing the temporality of the historical and cultural context. Like Sontag, Benjamin suggests that through reproduction and the recontextualization of art, a space opens where the eternal can be encountered in the perception of the present. His idea that art can condense and transform temporal experience also aligns with the TIE, suggesting that lived moments can be reconceptualized to reveal something deeper that transcends mere chronology. Both perspectives, through their attention to aesthetics, invite us to explore how the experience of time can serve as a space of connection with the eternal, generating a more complex understanding of life and its relationship to temporality.

3. DEATH AND THE RETURN TO INFINITESIMAL ETERNITY

In the classical conception of philosophy, death is understood as the threshold separating temporal existence from a transcendent and immutable eternity. From Plato’s reflections, who saw death as the liberation of the soul from the body and its return to the eternal world of Ideas, to the Christian tradition, where death was conceived as the passage into a definitive and absolute eternity, the common view has been that time ends at the moment of death, giving way to an eternity beyond time. The Theory of Infinitesimal Eternity radically reformulates this transition: rather than conceiving death as an abrupt rupture between the temporal and the eternal, the TIE suggests that death is a continuous transition toward a form of infinitesimal eternity—that is, an eternity that unfolds asymptotically within time itself. This notion may be read as a response to Kant’s paradox in the Critique of Pure Reason, where time and space are a priori forms of human sensibility, cognitive structures that order our experience of the world but do not exist beyond it. By conceptualizing eternity not as a reality external to time but as an infinitesimal process toward non-time, the TIE suggests that death is not an escape from these sensible forms but rather an integration of the eternal into the temporal—an infinitesimal extension that cannot be perceived or comprehended. The idea recalls Hegel’s vision of the dialectic between the finite and the infinite, where the finite does not vanish into the infinite but is reconciled with it in a higher synthesis. Yet the TIE departs from Hegelian dialectical resolution by introducing a mathematical perspective: death does not dissolve the subject entirely into the eternal but instead extends it infinitesimally, without ever reaching “non-time.” The TIE thus offers a vision in which death is not a final terminus, but a process of continuous incompletion, close to Maurice Merleau-Ponty’s phenomenology, which emphasized that the experience of the body and of time is always unfinished. Here, death is not an end but a limit never fully reached—a state of transition toward an eternity that, in its infinite minuteness, remains an unattainable horizon, granting life itself a dimension of active transcendence in which every instant remains, infinitesimally, a part of the eternal whole.

At the moment of death, life’s time appears to cease, yet the Theory of Infinitesimal Eternity posits that this cessation is never complete. At death, the time of a life begins to be depleted infinitesimally, an asymptotic process in which life approaches the limit of non-time but never fully reaches it. From this perspective, death does not entail the definitive extinction of time, but rather an infinitesimal exhaustion that continues indefinitely. This introduces an understanding of death that challenges traditional notions of finitude and absoluteness, suggesting that what appears to be the end of life is in fact a continuous transition toward a state of existence sustained endlessly. Death thus becomes a process that affects not only the individual who dies but also reverberates in the time that follows, implying that the imprint of that life continues, however infinitesimally, perpetuating the person’s existence in the fabric of time. This approach also invites reflection on how we remember and live with the lives of those who have passed, suggesting that their presence persists in the memory and experience of those who remain, as fragments of eternity unfolding in every recollection and every narrative.

The work of philosopher and writer Alain de Botton, particularly in The School of Life, explores how our experiences and memories of those who have died can continue to influence our daily lives. De Botton argues that the death of a person does not simply mark an abrupt rupture in our relationship with them; rather, the memories and lessons we have drawn from that person continue to shape our decisions and feelings in the present. Just as the TIE suggests that time is never fully exhausted with death, De Botton highlights how a person’s legacy persists in our lives, shaping our interactions and memories. Both perspectives emphasize the idea that, although physical life may cease, the essence of that existence remains alive in the memory and emotional impact it leaves behind—resonating with the notion that death is a process of infinitesimal depletion, not an absolute end.

This concept of death introduces a radically different vision of eternity. Life, even after its chronological end, retains an infinitesimal fraction of time that prevents it from dissolving entirely into absolute eternity. In this way, life does not extinguish but persists infinitesimally in a continuous process of withdrawing from the threshold of the eternal. This approach echoes mathematical notions of the infinitesimal, where a function may approach a value infinitely without ever reaching it—suggesting that the essence of life persists in a constant approximation to eternity without ever fully fading. Thus, each lived life, though it ends, becomes a fragment that remains present within the continuity of time, challenging the idea that death entails an absolute termination. This reinterpretation of death also invites reflection on how the meaning of our life experiences extends beyond physical existence, positing that every moment lived contributes to an eternity manifested infinitesimally in memory, relationships, and the legacy of each individual.

Judith Butler, in Frames of War, explores the fragility of life and the importance of collective memory in the construction of identity and resistance. Butler argues that, although lives may be cut short by violence or injustice, their impact persists in the narratives created around them, shaping the culture and politics of the present. This perspective shares with the TIE the notion that, although physical life may conclude, its legacy endures within collective consciousness, allowing a fraction of that existence to continue influencing the world. Thus, both Butler and the TIE suggest that death is not simply an end but a point of transition, enabling the essence of life to be preserved and manifested in ways that transcend temporality, reflecting the complexity of being and its relation to eternity.

4. DYNAMIC ETERNITY AND THE CREATION OF TIME

One of the major contributions of the Theory of Infinitesimal Eternity is the notion of a dynamic eternity which, unlike the classical Platonic vision of a fixed and transcendent eternity—situated in a world of immutable Ideas beyond time—manifests itself within time itself. Each instant of life, rather than being a mere fragment of a linear temporal becoming moving toward oblivion, contains an infinitesimal fraction of eternity, much like Henri Bergson’s distinction between chronological time and “lived duration,” where the subjective experience of time has an irreducible and immeasurable quality. Unlike traditional notions that conceive eternity as an absolute and immutable state, the TIE posits that eternity is a continuous process, in constant approximation to non-time yet never reaching it, evoking the paradoxes of the infinite proposed by Leibniz and Zeno. In this way, eternity becomes a perpetual movement, always present but never fully accessible, and establishes a convergence with more contemporary theories such as those of Gilles Deleuze, who conceives of time in two planes: chronological time, which unfolds in the present, and eternal time or “Aion,” which is a becoming that cannot be fixed in any given moment but is always unfolding. By intertwining the eternal and the temporal, the TIE opens a new path for thinking about human finitude within a framework in which time is not opposed to eternity, but instead contains it infinitesimally within each of its moments.

Time, according to the Theory of Infinitesimal Eternity, appears as a finite manifestation of eternity—an idea aligned with philosophical concepts that have sought to reconcile the temporal and the eternal in diverse ways. In contrast to Heidegger’s vision of time as the horizon of human existence, where being is defined in relation to finitude and to “being-toward-death,” the TIE suggests that each lived moment is in fact a temporal expression of the eternal—an infinitesimal fraction that, though limited, contains within itself a spark of the infinite. The idea recalls Plotinus, who described time as a “moving image of eternity,” yet where the TIE diverges is in its insistence that time is not a shadow or mere reflection, but an active and ongoing creation of the eternal. Each second of life is not simply an inevitable transition toward death, but a creative and perpetual materialization of eternity, akin to Nietzsche’s affirmation of the “eternal return,” in which every moment repeats infinitely, endowing life with an eternal character. However, while Nietzsche frames eternal repetition as a closed and cyclical recurrence, the TIE introduces a perspective in which each instant is a unique act of resistance against the abyss of the eternal—not as repetition, but as the creation of a new and irreducible time.

Time is the process through which eternity fragments into lived instants. Life, by creating time, challenges absolute eternity, generating a temporal continuity that, though finite, is never entirely exhausted. This phenomenon suggests that every moment of existence is an expression of the eternal, manifesting itself in the subjective experience of living. The TIE proposes that each instant contains a spark of eternity, rather than viewing time as a mere succession of isolated events—implying that the act of living not only unfolds within time but also functions as the medium through which the eternal expresses itself. Thus, eternity becomes a dynamic context fragmented into particular experiences, where the finitude of life is, in fact, an act of resistance against total dissolution into the absolute. This approach not only redefines temporality as an active element of existence, but also invites a reconsideration of how we value our experiences and how we relate to the notion of eternity, making it accessible through every lived moment.

5. THE PARADOX OF BEING INFINITESIMALLY ETERNAL

One of the most fascinating and disruptive aspects of the Theory of Infinitesimal Eternity is its bold claim that, although our lives are finite in terms of chronological time, we are eternal in an infinitesimal sense. This vision clashes with traditional philosophical conceptions that draw a sharp division between the finitude of life and transcendent eternity, such as in the thought of Thomas Aquinas, who conceived temporal life as a finite prelude to definitive and complete eternity in union with God, or in Epicurus’ view, which held that death was simply the end of sensation, dissolving any continuity between time and eternity. In contrast, the TIE proposes that, even though our existence is bounded by chronological time, each instant of life contains an infinitesimal fragment of eternity—implying that life, in its temporal manifestation, never fully extinguishes itself. This eternal fragment is not an absolute eternity existing outside of time, but rather an eternity that, through an asymptotic process, continues to exist infinitesimally even after death. This approach partly recalls Baruch Spinoza, who argued in his Ethics that the human being, as part of the infinite substance that is God or Nature, participates in eternity through the intellect, even though body and imagination remain bound to temporal finitude. Yet the TIE distinguishes itself from Spinoza by not conceiving eternity as participation in something transcendent, but as an inherent property of every instant of time that, however infinitesimally small, is eternal by its very nature. This perspective also resonates with Heraclitus’ notion of constant flux, where permanence is change itself; but within the TIE, temporal flux is not only a dynamic process, but also a manifestation of the eternal within each fragment of time.

The idea that life never completely extinguishes, because each instant contains a portion of eternity, also stands in opposition to the vision of Arthur Schopenhauer, for whom life is merely the temporal manifestation of a “will” that, after the individual’s death, dissolves once again into the impersonal and the timeless. Rather than proposing a dissolution into nothingness or into an impersonal totality, the TIE suggests that the temporal and the eternal are intertwined in such a way that life continues to exist infinitesimally even after death, in a continuous process of approximation to the eternal without ever fully reaching it. Conceiving of eternity as something that persists infinitesimally in time opens a new dimension for reflecting on the meaning of life and death, for human existence is no longer seen as something with a clear beginning and end, but as a process that, though finite, contains a fraction of the eternal that never fully vanishes. In this interpretation, the TIE becomes a theory that redefines the relationship between time and eternity, aligning itself with contemporary visions such as Derrida’s idea of writing as a trace that always survives the present moment, or Deleuze’s conception of becoming as something always unfinished—implying that life, though finite in temporal duration, always contains a vestige of eternity within its continuous and divergent unfolding.

This vision introduces a paradox: according to the Theory of Infinitesimal Eternity, we live eternally—but in an infinitesimal way—radically altering traditional conceptions of eternity and finitude. Unlike classical notions of eternity as something grand, absolute, and immutable, as in Parmenides, who affirmed that what is true and eternal is immobile, unchanging being, or Plotinus, who described eternity as the perfect state of immutable Unity beyond time, the TIE suggests that eternity does not manifest itself in absolute totality but in small fragments that dissolve into the finite time of life. This dissolution is not a disappearance, but an infinitesimal dissolution, in which finite life never exhausts itself but continues to exist in a process of approximation to non-time without ever reaching it. This paradox broadly recalls Leibniz’s idea of monads: indivisible and eternal units that, although infinitely small, constitute reality as a whole. However, while Leibniz’s monads are complete in themselves and do not interact with one another, the TIE posits that every fragment of lived time contains a small portion of eternity—a fragment that, though infinitesimal, remains part of an infinite temporal structure.

On an ontological level, the TIE can also be linked to Bergson’s notion of duration as an experience of time that cannot be reduced to mere measurable units, but rather constitutes an indivisible continuity. Yet the TIE goes further by suggesting that this continuity is populated by infinitesimals which, in their very smallness, contain a form of eternity. This fragmentary and subtle eternity breaks with the tradition of identifying the eternal with what is transcendent and immense, as in Aquinas or Heidegger—who held that authentic temporality reveals itself in finitude, in being-toward-death, where death discloses the totality of existence. In the TIE, by contrast, death does not reveal an absolute end but rather a transition toward an infinitesimal eternity, a state in which life, though finite, continues projecting itself toward non-time without ever attaining it. This conception is also profoundly different from Sartre’s, who viewed existence as radically finite and contingent, condemned to vanish into the void of death. The TIE, in suggesting that finite time never fully exhausts itself, grants us a form of eternity that is not immense or immutable but small, subtle, and fragmentary—yet nonetheless real and enduring. This infinitesimal eternity transcends both traditional notions of eternity and existentialist conceptions of radical finitude, offering instead a perspective in which life continues beyond its own finitude, perpetually sustaining itself in a state of approach toward non-time—a process without end that thereby secures us a form of immortality that is neither grand nor visible, but remains a fundamental ontological fact.

Human beings are not condemned to vanish in death; rather, according to the Theory of Infinitesimal Eternity (TIE), they persist in infinitesimal suspension—an existence which, although finite in chronological terms, never reaches extinction in non-time. This concept introduces a radically different vision of human mortality compared with many philosophical traditions. Whereas Epicurus asserted that death is simply the total cessation of existence—“where I am, death is not; where death is, I am not”—the TIE suggests that although we are not consciously or chronologically present after death, an infinitesimal form of our lived time persists within an atemporal structure. This view also challenges Nietzsche’s nihilism, which saw life as an eternal cycle of repetition in which death offers no meaningful transcendence but only reiteration of the same in eternal recurrence. By contrast, the TIE posits that every life, though finite, leaves behind an infinitesimal trace that continues to exist within a continuum of diminutive eternity.

We may also contrast this with Kant’s vision, who understood time as an a priori form of intuition, a necessary condition for human experience, but always finite. The TIE, in suggesting that eternity infiltrates every instant of time, reformulates this Kantian conception by proposing that time is not merely a limited framework for experience, but a field where the eternal coexists with the temporal. This coexistence of finitude and eternity departs both from existentialist conceptions—such as Camus’, for whom life is absurd and death final and inevitable—and from Heidegger’s being-toward-death, where death is the event that gives existence its meaning. Instead of viewing death as the absolute end of life, the TIE interprets it as a threshold toward infinitesimal suspension, where life is not a mere sequence of finite moments extinguished at the end, but rather a fabric of tiny eternities that endure beyond chronological closure.

This vision brings us closer to a reinterpretation of Hegel’s notion of overcoming finitude through Absolute Spirit, though in the TIE this overcoming is not a process of dialectical synthesis but a constant dissolution of the temporal into the infinitesimal eternal. Life does not abruptly dissolve into death, as existentialist philosophies suggest, nor does it attain a transcendental, immutable eternity, as in classical religious or metaphysical traditions. Instead, it sustains itself in a continuous and delicate process in which fragments of finite time intertwine with a miniature eternity—suspended infinitesimally between being and non-being—creating a dispersed yet present immortality.

6. TOWARD A NEW UNDERSTANDING OF LIFE, TIME, AND ETERNITY

The Theory of Infinitesimal Eternity (TIE) profoundly redefines the relationship between life, time, and eternity, proposing an innovative conception in which eternity is not an absolute and transcendent state separate from time, but rather a continuous process unfolding through temporal instants. This approach offers a radical break from the classical dichotomies of Western philosophy, which have treated eternity and time as two separate and irreconcilable dimensions—from the Platonic vision of the immutable and eternal “world of Ideas” to Aristotle’s notion of time as the “number of movement according to before and after.” Whereas Aristotle saw time as a measure of change in the sensible world—limited and finite—and later thinkers such as Thomas Aquinas maintained that eternity was the exclusive domain of God, an immutable being outside of time, the TIE challenges this separation, suggesting instead that eternity is not beyond time but interwoven with it constantly and infinitesimally.

Similarly, the perspective of the TIE contrasts with Edmund Husserl’s phenomenology, which conceives of time as a structure of consciousness in which each instant is retained in memory while we anticipate the future. While Husserl describes how individual moments interconnect, the TIE goes a step further by suggesting that these moments are not merely part of a finite temporal sequence, but that each one contains an infinitesimal fraction of eternity. Here we may also draw a comparison with Heraclitus’ philosophy of becoming, which affirmed that everything is in constant flux and nothing remains, in opposition to Parmenides’ idea of a static, eternal being. The TIE reconciles these classical positions by postulating that, although life appears to move within the confines of time and change, it is connected to an eternal dimension expressed infinitesimally in each instant.

Through this lens, life is not simply a finite and contingent phenomenon, as materialist philosophies suggest, nor is it subordinated to a final destiny of dissolution into non-being, as certain existentialist perspectives maintain. The TIE invites us to consider life as a form of miniature eternity, a continuous creation of time and meaning that does not cease at death but instead persists infinitesimally, generating an inexhaustible continuity. This vision aligns with the work of Henri Bergson, who distinguished between quantitative time and qualitative “duration.” Yet, whereas Bergson upheld a distinction between measurable time and lived experience flowing in continuity, the TIE maintains that the eternal is not opposed to time but manifests within it through micro-fragments of eternity. Life not only creates and sustains time, but each second lived becomes an act of resistance and creation against dissolution into non-time, rendering human existence—far from finite—a bearer of an eternal component that prolongs itself infinitesimally. This framework reformulates our understanding of mortality and immortality, not as categorical opposites, but as interconnected realities woven into the fabric of time and being.

Each moment of life is a small victory against absolute eternity, an act of temporal invention that defies non-time. Life becomes a constant act of creation and resistance, where each instant represents an opportunity to manifest existence in a context that, though limited, never entirely extinguishes itself. Even though chronological life approaches its end in death, this process does not entail definitive extinction, for it persists as an infinitesimal fraction of time that fades indefinitely without ever reaching its absolute end. Thus, each lived moment becomes an echo of eternity, a resistance to oblivion that challenges the notion of death as the termination of experience. This approach reconfigures our understanding of life, highlighting the significance of each instant as a meaningful triumph within the vast horizon of the eternal, where the finite confronts the infinite, creating a dance of existence that continues beyond life itself.

Philosopher and writer Yuval Noah Harari, in his work Sapiens, explores how human narrative has been fundamental in constructing our reality. Harari argues that human beings have created meaning and values through stories, enabling them to face the finitude of life. Just as each moment of life in the TIE is considered an act of invention that defies eternity, Harari maintains that the narratives we create are ways of giving meaning to our existence, allowing us to transcend the banality of time and forge enduring connections. Both perspectives reflect the idea that, even though we face the inevitable end of life, our actions and stories provide meaningful resistance—transforming our experience into a fabric of meanings that unfolds beyond temporality, pointing toward the eternal, however infinitesimally.

This vision radically transforms our understanding of time, death, and the very conception of eternity. Instead of viewing eternity as a fixed, unattainable, transcendent state, the Theory of Infinitesimal Eternity invites us to recognize a form of eternity that is infinitesimal and dynamic, persisting and unfolding through every instant of life. Within this framework, each moment becomes a vehicle of the eternal, where lived experiences are not merely transitory but infused with a spark of eternity that grants them profound significance. Life itself, with all its limitations and fragilities, reveals itself as a finite manifestation of the eternal, a continuous process of creation in which every decision and every action possesses the power to converge beyond immediate time. This perspective allows us to appreciate the beauty and value of the ephemeral, underscoring that, although our lives are finite, each lived instant may capture something of that eternity which connects us to the cosmos and to life itself. In this way, eternity is not a distant aspiration but an accessible reality, here and now, present within the totality of our human experience—inviting us to live with greater fullness and awareness.

PART 2

SEMANTICS OF THE TIE

From a semantic perspective, the analysis of the Theory of Infinitesimal Eternity requires a reconsideration of the traditional meanings attributed to terms such as ‘time’, ‘eternity’, ‘life’, and ‘death’, since, within the framework of this theory, each concept is transformed and acquires new connotations. Traditionally, ‘time’ has been understood as a finite, measurable, linear sequence of events, whereas ‘eternity’ has been conceptualized as an immutable reality, beyond the reach of any temporal measurement or change—something absolute, standing in opposition to becoming. The TIE breaks with this rigid semantic distinction by suggesting that eternity is not a separate and transcendent condition but a process unfolding infinitesimally within the very structure of temporality. In this way, ‘time’ is redefined as a finite extension that contains fractions of the eternal within every lived instant.

Under this reasoning, life is not merely a phenomenon that takes place within time, as it has been interpreted in materialist or existentialist conceptions that view human existence as finite and determined by death. Life, through the lens of the TIE, is the creator of time—a force that invents moments in resistance against eternity. By redefining life as a source of time, the concept of ‘death’ is also reconfigured. Instead of being the absolute end of existence, death is seen as a passage toward an infinitesimally extended eternity, in which what has been lived persists—not as memory, but as a state that approaches non-existence without ever fully reaching it. Thus, from a semantic perspective, death no longer signifies the definitive termination of being but rather a transition that preserves lived instants within a fragmentary and enduring form of eternity.

This reinterpretation resonates with the postmodern critique of rigid language structures in philosophers such as Jacques Derrida, who argued that meaning is never fixed and always deferred, never fully present. In a certain sense, the TIE mirrors this semantic deferral by proposing that neither time nor eternity possesses closed definitions: time is never entirely finite, nor is eternity completely immutable. Instead, both intertwine in a continuous flow where classical meanings are diluted and reformulated. This vision suggests that both time and eternity are in constant renegotiation and reconfiguration, opening space for new understandings that transcend traditional categories. Within this framework, being becomes a process of open signification, where language itself confronts its own limitations when attempting to capture the fleeting and ever-changing essence of existence. In this way, the TIE invites us to consider that knowledge and meaning are inherently dynamic rather than fixed states, reflecting the complexity and richness of the vital process.

Giorgio Agamben, in his work ‘The Time That Remains’, examines the relationship between time, life, and death from a perspective that also challenges notions of fixation and permanence. Agamben argues that life is marked by temporality and, much like Derrida, maintains that meaning is always provisional and dependent on the context in which it is manifested. Through his analysis of the relationship between time and being, Agamben suggests that the experience of life cannot be understood in isolation but is subject to a web of meanings that are constantly being redefined. Like the TIE, which proposes a continuous intertwining of time and eternity, Agamben offers a perspective in which temporality becomes a space of flow and interaction, defying notions of rigidity and absolute determination. Both philosophical approaches underscore the importance of conceiving meaning as a process in motion, where language and experience are shaped by context and becoming, thus allowing for a richer and more complex understanding of reality.

1. REDEFINITION OF TIME

In the Theory of Infinitesimal Eternity, time is radically redefined—not as a mere linear and chronological succession of empty instants, but as a semantic construct laden with meaning, deeply tied to life and conscious existence. The traditional idea of time as something external, objective, and independent of human subjectivity—as upheld by philosophers such as Immanuel Kant, who regarded time and space as ‘a priori’ conditions of human experience—dissolves under the TIE. In this theory, time is not an external framework within which life unfolds; rather, it is life itself that invents and sustains it. Every living being, through existing and experiencing, is not merely “within” time; instead, it generates temporal moments, making time a product of life.

This leads to a significant semantic shift: time ceases to be something fixed and preexisting and becomes instead a dynamic and infinitesimal creation responding to the vital force of living beings. This conception resonates with the ideas of philosophers such as Henri Bergson, who, in his notion of durée, distinguished between chronological time—measured and quantifiable—and lived time, qualitative and fluid. The TIE takes this distinction further, suggesting that chronological time is merely an illusion created by our need to structure experience, whereas real time, the time of life, is infinitesimal and continuous, constantly generating fragments of eternity within each instant.

This perspective also aligns with the philosophy of Martin Heidegger, who in ‘Being and Time’ argued that human life does not simply unfold within time, but that “being” already implies an intrinsic temporality. However, while Heidegger focuses on being-towards-death and on how the awareness of finitude shapes existence, the TIE suggests that life is not ultimately limited by death. Instead, it creates a time that never fully exhausts itself. Death, far from being the absolute end of time and existence, becomes a point of convergence with infinitesimal eternity—an instant in which life, though finite in appearance, continues to create time infinitesimally, perpetuating the flow of existence in a form that approaches non-time without ever reaching it.

In this regard, the TIE also diverges from the traditional concept of eternity defended by thinkers such as Plato, for whom the eternal belonged to the world of Ideas, separate from the physical and temporal realm. In the TIE, eternity is not detached from the world but is embedded in the very heart of each instant, in an infinitesimal form that dynamically connects the finite and the infinite.

The concept of time in the Theory of Infinitesimal Eternity is further enriched by the idea that every instant of life is a temporal creation arising as an active resistance to eternity—a notion that adds a new semantic dimension to our understanding of time. This approach transforms time into something more than a mere chronological measure: it becomes a qualitative process intimately tied to vital existence.

In this theory, life is not limited to experiencing the passage of time, as one might interpret from Henri Bergson’s notion of lived duration—where time is perceived as an internal, subjective, and fluid experience in contrast to external, measurable time. Instead, life actively generates time. Here, the TIE distances itself from Bergson by suggesting that life not only perceives time from within but actually invents it, conjuring it at every instant as a challenge to the immensity of eternity.

This proposal also diverges from Aristotle’s view, for whom time was the measure of movement, a record of change in things, dependent on before and after. In the TIE, time is not merely a passive record of life’s movement or the product of cosmic events. Rather, it is an emergent phenomenon created by life as it opens breaches within eternity, making time a field of resistance against absolute non-time.

In this ceaseless creation of time, life positions itself as a juggler balancing temporal flow at the edge of the abyss of eternity, sustaining a delicate equilibrium that allows existence itself. This concept also resonates with the ideas of Gilles Deleuze, particularly in his distinction between ‘Chronos’ and ‘Aion’: chronological time versus eternal time. However, while Deleuze separates these two temporal dimensions, the TIE suggests they are more intricately intertwined, with eternity infiltrating every instant in the form of infinitesimals, creating a constant tension between the finite and the infinite.

Through this lens, life not only experiences time as duration but generates it as a continuous creative act, in perpetual opposition to the abyss of eternity. The TIE thus proposes that the eternal and the temporal are not separate categories but forces in tension that converge and mutually influence one another. In doing so, it introduces a unique perspective within the philosophy of time, challenging both classical and contemporary views, by positing an eternity that is active and in constant dialogue with the temporal unfolding of life.

2. ETERNITY AS AN INFINITESIMAL LIMIT

The notion of eternity in the Theory of Infinitesimal Eternity emerges as one of the most significant semantic transformations in contemporary philosophy, challenging traditional conceptions that tend to associate eternity with infinite, immutable duration outside of time. Historically, philosophers such as Saint Augustine have characterized eternity as an absolute state in which time, as we understand it, dissolves into a timeless and perfect reality where everything occurs in an eternal present. By contrast, the TIE reconfigures this notion by introducing the idea of infinitesimal eternity, which approaches non-time asymptotically but never fully reaches it. Instead of being a final destination accessible after death or a static dimension transcending temporal experience, eternity in the TIE becomes a continuous process interwoven with every instant of life.

This invites us to think of eternity as a series of fleeting moments that, although tending toward the infinite, never escape the immediacy of time. Such a conception stands in sharp contrast to Friedrich Nietzsche’s vision, who, through his idea of the “eternal return,” suggested that time is cyclical and that everything which has happened will occur again infinitely. Whereas Nietzsche envisions a perpetual return implying repetition without change, the TIE proposes that each lived instant contains a fragment of eternity, but in an infinitesimal and ever-moving form that does not repeat but transforms.

Moreover, the TIE offers a perspective distinct from that of Gottfried Wilhelm Leibniz, who conceived eternity as a logical and rational continuity in which all possibilities are contained within the divine mind. For Leibniz, eternity becomes more of a catalog of possibilities than an active process. In contrast, the TIE situates eternity at the heart of lived experience, emphasizing that it is not merely a state of being but a constant interaction between the finite and the infinite, where every moment of life is a creative act that adds to the fabric of time without exhausting its potential. Thus, eternity is not presented as an unreachable destiny but as a lived reality that, although minute in its manifestation, has a constant presence in the narrative of being. This semantic transformation of eternity therefore redefines our understanding of existence, inviting us to see life not as a struggle against time but as an intricate dance with the eternal, where each instant has the power to extend into the infinite without losing its connection to the immediacy of being.

Semantically, the Theory of Infinitesimal Eternity entails a radical reinterpretation of eternity, moving away from the traditional conception of it as a static and complete entity to transform it into a dynamic process that indefinitely approaches the limit of non-time. In this framework, the connotation of “eternity” shifts from the static to the fluid, from the absolute to the infinitesimal, thus enriching the meaning of the term with new layers of complexity.

This approach can be contrasted with Hegel’s vision, who in his dialectic proposed an eternity manifested through historical development and the evolution of the Absolute Spirit, where time is perceived as a series of stages leading to the realization of the eternal. For Hegel, eternity lies in the culmination of this process, whereas the TIE suggests that eternity is the ongoing process—always developing and never completed.

This notion resonates with Martin Heidegger’s reflections on temporality in relation to being, emphasizing that time is essential for human existence and that the understanding of being is deeply rooted in temporal experience. Yet while Heidegger presents time as a dimension experienced through the anxiety of finitude, the TIE moves toward a conceptualization in which the eternal is not only experienced within time but is continuously created through life itself.

The mathematical analogy of the infinitesimal limit in the TIE introduces a semantic complexity whereby the eternal becomes unfinished—a perpetual process rather than a fixed state. This contrasts with Baruch Spinoza’s notion of eternity, defined in terms of divine substance: a state encompassing all that exists, situated at a higher, absolute level of reality. In the TIE, eternity is not an absolute reality external to life but is manifested within it, in the creation of each instant.

Thus, every lived moment is an expression of infinitesimal eternity, a continuous act of resistance and creation that challenges the notion of time and eternity as separate categories. In this respect, the TIE not only reformulates the meaning of eternity but also invites us to reconsider our understanding of time and existence itself, proposing that each instant is ultimately a creation of the eternal in its most minute and subtle form.

3. LIFE AND DEATH: CREATION AND EXHAUSTION OF TIME

From a semantic perspective, life ceases to be merely a biological phenomenon and is transformed into a creative force that generates and sustains time, becoming a dynamic and multifaceted concept aligned with the ideas of process and creation. This meaning of the term life introduces an additional ontological dimension, in which life acts as an active agent in contrast to the passivity traditionally attributed to eternity. This notion may be contrasted with Plato’s perspective, who, in his theory of Ideas, establishes a dichotomy between the sensible world and the world of Ideas, where life in the sensible realm is regarded as an imperfect reflection of the eternal perfection of the Ideas. For Plato, life holds secondary value compared to the immutable and perfect eternity of the Ideas; in the TIE, life possesses a primary—even essential—value for the creation of time and eternity.

Considering Aristotle’s view, which defines life in terms of activity and change, his notion of being is linked to the realization of a being’s essence, yet it remains framed within the idea that time is merely a measure of change. By contrast, the TIE posits that life does not simply measure time but actively creates it, challenging the Aristotelian notion that time is a phenomenon that is merely experienced. Moreover, this conception of life as a generator of time connects in an interesting way with Henri Bergson’s notion that lived duration is a qualitative process transcending the quantitative measurements of chronological time. Yet while Bergson focuses on the subjective experience of time, the TIE takes this concept a step further by asserting that life does not merely experience time, but produces and sustains it in every instant. In the TIE, life becomes an active principle that challenges the idea of eternity as a passive and unreachable state, thus redefining the relationship between life, time, and eternity in terms of creativity and the immediacy of being. In this new light, each instant manifests not only as a moment in temporal succession, but as an act of creation that enriches eternity, making life an active and constant manifestation of the eternal in its most diminutive and subtle form.

The concept of death, within the framework of the Theory of Infinitesimal Eternity (TIE), acquires a renewed semantics that challenges traditional views by being interpreted not as the abrupt cessation of time, but as an infinitesimal transition toward eternity. From this perspective, death is not a definitive end, but rather a process of exhaustion of time that tends toward non-time without ever fully reaching it. This conception contrasts sharply with Friedrich Nietzsche’s idea of the eternal return, in which life and death are cycles repeated indefinitely—a form of immortality through recurrence. While Nietzsche envisions a cyclical relation to eternity that entails reliving the experience of life, the TIE introduces a subtler dimension by considering death as an act of resistance and continuity, where what dissolves in finite time is not entirely lost but is transformed into something that persists infinitesimally.

This vision may also be contrasted with Emmanuel Lévinas’s philosophy, which emphasizes alterity and responsibility toward the other, where the death of the other underscores the finitude of human life and its impact on our existence. By contrast, the TIE offers a redefinition that allows us to see death not only as a reminder of our finitude, but as a process that enriches the very meaning of life by providing a continuous connection with the eternal, suggesting that every life lived leaves an echo in the fabric of time that endures beyond physical existence.

This semantics of death also resonates with Martin Heidegger’s philosophy, in which death is conceived as the “ultimate being” that defines our existence, but which may also be viewed as a finalization that limits life. In contrast, the TIE posits that death is not a limit but an expansion that brings us closer to eternity, reformulating the role of death in our vital experience as a continuous and transformative process. Thus, in this new conception, death becomes an extension of life in its infinitesimal form—a state that does not negate existence but enriches it by offering continuity in the experience of the eternal, where every instant lived extends beyond chronological time and persists in a state of infinitesimal permanence and transformation.

4. SEMANTIC CONVERGENCE BETWEEN TIME AND ETERNITY

One of the most significant semantic achievements of the Theory of Infinitesimal Eternity is the convergence between the terms time and eternity, which have traditionally been regarded as semantic opposites: time, finite and mutable, and eternity, infinite and immutable. In the TIE, however, these concepts merge in an innovative way, suggesting that time contains infinitesimal eternities within each instant—thereby transforming the understanding of both terms into a continuous dialogue.

This redefinition may be contrasted with Henri Bergson’s notion, which also explores the relationship between time and duration, though his focus lies in the quality of lived time and its subjective character, without fusing eternity with time as the TIE proposes. In his work, Bergson argues that duration is a fluid experience rather than a simple accumulation of instants, aligning with the idea that time is not a straight line, yet he does not integrate eternity as an active presence within time.

Conversely, Gottfried Wilhelm Leibniz’s philosophy provides another illuminating contrast. For Leibniz, time is a relation between events rather than a substance in itself, existing only as a function of the interaction of beings. In the TIE, this idea is expanded: time is not only relational to events but is nourished by eternity, which—though presented as an asymptotic limit—manifests itself in every moment of life.

We may also compare this with Isaiah Berlin’s perspective, who, in his analysis of freedom and time, distinguishes between chronological time and a deeper time of human experience. Yet unlike Berlin, who emphasizes the importance of social and political context in understanding time, the TIE suggests that eternity is not simply an external philosophical construct but is essentially woven into the very fabric of existence, integrated into every second of our lives. In this sense, the TIE invites us to see time as a vehicle of eternity, where each instant is not merely fleeting but also a small trace of the eternal—enriching the semantics of both terms and offering a new way of experiencing and understanding life, time, and eternity as a continuous and dynamic process of creation and transformation.

This convergence transforms the semantic relationship between time and eternity, suggesting that time is a finite manifestation of the eternal, while the eternal unfolds within every instant of time. Such interrelation challenges traditional conceptions that regard time and eternity as opposites, creating instead a new dialectical relation in which eternity is not alien to time but coexists within it in an infinitesimal manner. From this perspective, each temporal moment becomes a microcosm of eternity—an instant in which the eternal emerges, offering a glimpse of what might be the fullness of being.

This interpretation invites us to reconsider how we experience time in everyday life, suggesting that each second may contain something beyond its finitude: a spark of infinitude which, though never fully manifest, allows us to glimpse the depth of existence. Thus, time becomes a stage where the temporal and the eternal, the finite and the infinite, intertwine—establishing a continuous dialogue that enriches our understanding of being.

Karen Barad, in her book ‘Meeting the Universe Halfway’, argues that phenomena are not isolated entities but exist within a web of relations that endow them with meaning. Similarly, in the TIE, where time and eternity coexist and interrelate, Barad emphasizes that reality is constructed through interactions and processes—implying that each instant is not merely an isolated point but part of a broader fabric of existence. Her approach challenges the dichotomy between the temporal and the eternal, suggesting that experience and knowledge are coalescing processes in which eternity may be apprehended through our interactions with the world. In this way, both Barad and the TIE invite us to reconsider how time and the eternal manifest in our lives, opening a space for contemplation and a deeper understanding of our existence within the flow of being.

5. SEMANTIC PARADOXES: THE INFINITESIMAL ETERNAL

The notion of being “infinitesimally eternal” introduces a semantic paradox that challenges the very foundations of classical philosophy on eternity and finitude. In traditional conceptions, eternity has been understood as a state of absolute immortality—transcendent and beyond time, an existence without beginning or end, in which becoming and change lose all relevance. The Theory of Infinitesimal Eternity, however, radically reconfigures this idea by redefining eternity not as a vast and immutable infinite, but as something infinitesimal, present in every minimal fragment of time.

This reinterpretation generates a semantic tension: how can something be eternal and finite at the same time? The paradox emerges from the coexistence of the limited and the eternal, a combination that suggests that each moment in life—no matter how small or seemingly insignificant—contains an infinitesimal fraction of eternity. Far from being a contradiction, this tension reveals a dynamic understanding of eternity: not as a state achieved outside of time, but as something perpetually in process, unfinished, present in every lived instant. Finitude does not negate eternity; rather, it nourishes it, since the finite becomes the very vehicle through which the eternal manifests itself continuously. Life thus transforms into a space where the temporal and the eternal are deeply interwoven, where every lived moment carries a perpetual echo, and where chronological becoming rests upon an underlying infinity. This new vision of eternity—at once finite and infinite—breaks the boundaries of our comprehension and opens a horizon of philosophical possibilities regarding time, being, and the meaning of human existence.

This phenomenon of infinitesimal eternity can be compared with Friedrich Nietzsche’s concept of the eternal recurrence, in which time repeats itself indefinitely, forcing the individual to confront life and decisions as though destined to live them over and over again. Nietzsche sees in this repetition the ultimate test of life-affirmation, where each instant acquires a unique intensity precisely because it is eternally reiterated—endowing each choice and action with profound existential weight. The eternal recurrence not only poses a reflection on cyclical time but also underscores the moral and existential responsibility of living in such a way that every instant is worthy of being repeated for eternity.

The Theory of Infinitesimal Eternity, however, offers a different and, in some sense, complementary vision. Whereas Nietzsche grounds his perspective in the idea of a cosmic cycle in which time is linear yet repetitive, the TIE suggests that eternity is not found in the infinite repetition of time but in each unique, particular instant. Instead of relying on cyclical return, the TIE posits that eternity is infinitesimally contained in every moment without requiring repetition. Each instant, in its fleetingness, is already eternal, already bearing within itself a fraction of the eternal—transforming the experience of the present into something not only meaningful but profoundly transcendent.

Where Nietzsche makes eternal repetition a means of conferring value upon each moment, the TIE asserts that eternity is always present and accessible in the here and now, without the need to relive the same events. The value of life and its decisions does not depend on the cyclical recurrence of events but on the infinite concentration of the eternal within the present. This redefines the relation to time: it is not necessary to imagine an endless cycle to give significance to our actions; it is enough to recognize that each second is, in some way, a fragment of eternity unfolding infinitesimally before us.

While Nietzsche proposes that life must be lived as if each instant might be repeated eternally, the TIE invites us to see each instant as eternal in itself—as a unique and continuous opportunity to experience the flow of the eternal without recourse to repetition.

Martin Heidegger’s philosophy, especially in ‘Being and Time’, places temporality at the core of human existence, highlighting the profound connection between being and time. Heidegger regards death as the ultimate limit of existence, the point that grants authenticity to life and confronts the human being with its most radical possibility: its own finitude. For Heidegger, being is defined by its ‘being-toward-death’, and death marks the absolute end of temporality and therefore of existence itself. This conception of death as an absolute end, a definitive closure of the temporal horizon, stands in deep contrast with the Theory of Infinitesimal Eternity. While Heidegger sees death as a boundary that shuts time, the TIE reinterprets this boundary as an asymptotic limit that is never fully reached. From this perspective, death is not an absolute cessation of existence but an infinitesimal process in which time is exhausted without ever disappearing completely—allowing life to be conceived as eternally contained in each moment.

This approach within the TIE offers a radically new way of conceiving finitude. While we share with Heidegger the view that being is tied to time and that death is an inevitable reality, the TIE breaks with the Heideggerian vision of absolute finality by proposing that, although life’s time is limited, eternity is present in every instant. Life is not a finite stretch that extinguishes, but a continuous process of creating time, in which each moment harbors an infinitesimal portion of the eternal, no matter how fleeting. This semantic oxymoron—to be infinitesimally eternal—challenges conventional categories of thought and language, for it appears contradictory in its formulation but offers a profound insight into the nature of time and existence.

In this light, the TIE calls for a reconfiguration of the relationship between finitude and infinitude. For Heidegger, finitude gives form and structure to human life; but in the TIE, finitude itself becomes the vehicle for the experience of the infinite. Each instant of life, though limited and transitory, contains within itself an infinite potential—a small yet significant manifestation of eternity. Death, therefore, is not the absolute end but a constant and asymptotic approach to what Heidegger would call non-being—reconceptualized by the TIE as a transition into infinitesimal eternity, where the finite and the infinite coexist in creative tension. Within this framework, human life, though caught in the flow of time, is also a manifestation of the eternal, in which each instant acquires absolute value and a richness that transcends the limitations of chronology. This perspective not only redefines our understanding of life and death but also transforms our perception of time, which ceases to be a linear and objective sequence and becomes instead a field of infinite possibilities, manifesting infinitesimally in the present.

6. SEMANTIC IMPLICATIONS FOR THE CONCEPT OF ‘LIMIT’

The concept of limit is crucial in the Theory of Infinitesimal Eternity, carrying significant semantic weight that transforms our understanding of time and eternity. In mathematics, a limit represents the value toward which a function approaches but never fully attains. This notion becomes a powerful semantic resource in the TIE, where the idea of limit applied to time and eternity suggests a perpetual approach that never fully materializes. The use of the term limit here invites us to explore profound philosophical connotations, particularly at the boundary between life and death, as well as between time and eternity.

Unlike Immanuel Kant’s conception of time as an ‘a priori’ intuition and a structure that organizes human experience, the TIE asserts that the limit is not merely a restriction, but a space of creativity and existence in which the finite and the infinite are interwoven. This approach also resonates with Henri Bergson’s thought, who proposed ‘duration’ as a dynamic process that stands in contrast to the static measurement of time, suggesting that the experience of time is richer and more complex than a simple succession of moments. While Bergson focused on the subjective experience of time, the TIE expands the concept by integrating the limit as a point of contact between life and eternity—suggesting that each instant of life is not merely fleeting, but a manifestation of an eternal potential that infinitesimally escapes into non-time.

This interpretation of the limit invites us to reconsider the very nature of existence, where life is defined not only by its beginnings and endings, but also by the continuity of its essence within a framework that transcends absolutes. The notion of limit becomes fundamental to understanding how life and eternity coexist, blurring the boundaries between the temporal and the eternal, and opening new possibilities for reflection on our existence in a universe that is always moving toward the infinite.

The concept of limit in the Theory of Infinitesimal Eternity also finds affinities in 21st-century contemporary philosophy, particularly in ontology and theories of becoming. Alain Badiou and Quentin Meillassoux, for example, explore related notions of the limits of being and finitude in relation to the infinite, though from distinct approaches.

Badiou, in his conception of events as ruptures that break with the linear flow of what he calls the “state of the situation,” argues that the infinite—akin to the eternal in the TIE—manifests itself in concrete moments, shattering finite structures and allowing the irruption of the novel and the immortal into the contingent. For Badiou, this irruption constitutes a form of truth that challenges temporal becoming, which resonates with the TIE’s idea that the eternal is present infinitesimally in every instant, generating a tension between the finite and the infinite.

On the other hand, Quentin Meillassoux, through his critique of correlationism, seeks to break away from the constraints of modern philosophy that tie knowledge to human experience, suggesting that thought can access the “great outdoors” of absolute contingency. In a certain sense, the TIE also seeks to challenge the limitations of time perceived within a human framework, proposing an eternity that transcends chronological experience—though it does so from the perspective that the infinite is not something external, but rather embedded within the finite through instants. Meillassoux explores how the laws of nature and of time are neither necessary nor fixed, a view that connects with the TIE’s flexible concept of time, where the limit of time is redefined as an asymptotic transition never fully attained.

Likewise, in Catherine Malabou’s thought, the notion of plasticity adds another layer to this discussion on the limits between the finite and the infinite. Malabou suggests that being, like the brain, possesses a transformative capacity that is not merely receptive but creative, capable of reshaping itself and generating new forms of existence from ruptures and change. This concept of plasticity can be seen as an analogy to the way the TIE conceives the limit—not as a rigid end, but as a space of potential transformation where the finite and the eternal meet in a dynamic and continuous manner.

The TIE thus offers a rereading of the limit, not as a definitive closure but as a point at which the temporal and the eternal interact without ever being fully resolved. This perspective resonates with contemporary philosophies that seek to move beyond traditional dichotomies, exploring new ways of understanding the relationship between finitude and infinitude, temporality and eternity, within an ontological and epistemological framework that acknowledges the incomplete and open-ended character of reality. In this way, the TIE situates itself at the crossroads between classical conceptions of being and the new proposals of contemporary thought, offering a theoretical framework in which the limit is a creative opportunity—a continuous process in which life and eternity interweave infinitesimally in every instant.

7. THE CREATION OF MEANING THROUGH SEMANTIC TENSION

The entire Theory of Infinitesimal Eternity generates its meaning through the semantic tension between the finite and the infinite, the temporal and the eternal, life and death—creating a constant dialogue that does not seek a final synthesis but sustains itself as a continuous process of reinterpretation. This framework resonates with the ideas of G.W\.F. Hegel, who proposed that the development of thought and reality unfolds through a dialectical process in which contradictions are essential to the evolution of knowledge and consciousness. Yet, unlike the Hegelian dialectic, which strives for resolution through synthesis, the TIE invites us to embrace the ambiguity and inherent complexity of life and human experience, where concepts acquire meaning precisely by being contrasted and reconfigured in relation to their semantic opposites.

This dynamic recalls the thought of Friedrich Nietzsche, who emphasized the idea of the eternal return, suggesting that life repeats itself in infinite cycles—thus underscoring the importance of valuing each instant despite its apparent transience. In the TIE, the notion of eternity becomes a fluid process in constant transformation, where each moment of life is engaged in a perpetual dance with the infinite, challenging the idea that time and eternity are separate entities. This approach also echoes Martin Heidegger’s notion of being and time, in which time is not conceived as a mere resource to be managed but as an essential dimension of existence that shapes our very understanding of being. Within this framework, the TIE reconfigures the relationship between time and eternity, life and death, inviting us to explore the depths of these interactions within a horizon that does not seek definitive answers, but rather embraces uncertainty and wonder before the very complexity of existence. Thus, semantic tension becomes a driving force of philosophical reflection, where each concept is an open doorway to a deeper understanding of our reality, inviting us to dwell in the interstitial space between the finite and the infinite.

From this perspective, the meaning of terms such as life, death, eternity, and time is not fixed, but unfolds in a continuous process of signification that mirrors the very nature of the theory: existence as something infinitely close to the limit, but never fully defined. This semantic approach aligns with the ideas of philosopher Henri Bergson, who argued that the meaning of vital phenomena cannot be fully captured by the rigid categories of rational thought, and that the true essence of life lies in direct experience and in the flow of lived duration.

In contrast to the more static conception of time found in Aristotle and Plato—who regarded time as a framework in which events occur in a linear and sequential order—the TIE proposes a more fluid and dynamic conception, where time becomes an extension of vital experience rather than merely a container of events. The idea also evokes Eugène Minkowski’s concept of temporality, which described the relationship between time and existence from a phenomenological perspective, suggesting that human life cannot be understood without considering temporality and the subjectivity of experience.

Furthermore, the TIE challenges Immanuel Kant’s notion of time as one of the ‘a priori’ forms of human intuition, since, according to the TIE, time is not a mere structure we perceive but a process co-created by life itself. Thus, the meaning of death is transformed from an absolute cessation into a continuous transition that sustains the essence of life in a state of infinitesimal perpetuity.

This semantic fluidity invites us to reexamine not only our concepts of existence but also the ethical and ontological implications of how we live and understand our own finitude in a world where the infinite always seems within reach, yet never fully attained. In this way, the TIE not only offers a new way of conceiving reality but also promotes a profound reflection on the very sense of being, where each term becomes an open window to new possibilities of understanding and meaning.

CONCLUSION

From a semantic perspective, the Theory of Infinitesimal Eternity profoundly reconfigures the traditional meanings of fundamental concepts such as time, eternity, life, and death. The theory introduces a new semantics of infinity, where the eternal and the temporal coexist in a dynamic and constantly tense relationship, challenging the classical view that rigidly separates these categories.

This approach resonates with the work of philosopher Gilles Deleuze, who argued that time and space are more than mere containers of events; they are dimensions that intertwine and interrogate one another, suggesting that life itself unfolds within a complex fabric of relations. Unlike Friedrich Nietzsche’s perspective, which viewed time as an endless cycle of repetition that denied the possibility of linear progress, the TIE posits that each instant of life contributes a fraction of eternity, creating a sense of continuity in the process of creation and transformation.

Similarly, Martin Heidegger’s notion of being as an ongoing unfolding finds an echo in the TIE, which considers life not as a static phenomenon but as an active manifestation that generates its own time. This semantic reconfiguration implies that key terms are not merely redefined but also converge and interrelate in unexpected ways: thus, death ceases to be an absolute end and becomes a transition toward an infinitesimal state that persists, while time ceases to be viewed as a finite resource and is transformed into a space of continuous creativity.

Within this framework, the TIE suggests that life, time, and eternity are not separate entities but aspects of a single, continuous, and dynamic process of creation and signification, inviting a profound reexamination of how we understand our existence within the interplay of infinity and finitude. This perspective not only opens new avenues for philosophical interpretation but also raises ethical questions about the responsibility inherent in being active participants in the creation of time and eternity, offering a fertile field for reflection on our role in the universe.

PART 3

ONTOLOGY OF THE TIE

The Theory of Infinitesimal Eternity (TIE) invites reflection on the fundamental questions of being, existence, and reality, particularly concerning the notions of time, eternity, life, and death. In contrast to Aristotle’s view, which distinguishes between entities that are substantial and those that are accidental, the TIE redefines being as a dynamic process that integrates both the finite and the infinite. Here, existence is not merely a static state but rather temporal manifestations that contain fragments of eternity.

This conception departs from Hegel’s notion of being as a dialectical development culminating in the Absolute; instead, the TIE suggests that eternity is not attained as a final outcome but is interwoven with each lived instant, creating a continuum in which being is experienced as a series of infinitesimals that challenge the separation between time and eternity.

When considering death, the TIE also stands in opposition to the ideas of Martin Heidegger, who emphasized being-toward-death as a phenomenon that grants meaning to existence. In the TIE, death is not an absolute end but rather a transition that allows the perpetuation of life within a state of infinitesimal eternity, implying that existence extends beyond traditional temporal boundaries.

Thus, within the TIE, being is redefined not as a concrete state but as a process of continuous creation, where each act of living constitutes an act of resistance against nothingness and an affirmation of infinity. This ontological reconfiguration challenges the conception that reality consists solely of what can be measured and observed, suggesting instead that being has an intimate dimension expressed through subjective experience and human creativity, where eternity and time are not separate entities but interrelated components of existence itself.

Therefore, the TIE not only transforms our understanding of being but also invites a revaluation of human experience in its entirety, situating it within a framework in which the ephemeral and the eternal coexist harmoniously, opening new pathways to explore the nature of reality and the meaning of life.

1. THE BEING OF TIME: ONTOLOGICAL CREATION

In the Theory of Infinitesimal Eternity, the conception of time is radically transformed: it is not seen as an objective, preexisting structure that houses the events of existence, but as an active and continuous creation generated by life in each instant. This idea stands in sharp contrast to Isaac Newton’s vision, which posited an absolute time flowing uniformly and constantly, independent of the events occurring in the universe. By contrast, the TIE asserts that time lacks autonomous reality; its existence is intrinsically tied to the capacity of living beings to experience and confer meaning upon each moment.

This perspective also diverges from Henri Bergson’s notion, who—though recognizing the importance of the subjective experience of time through his concept of duration—still maintained a dualism between measured time and lived time. In the TIE, life becomes the very source of temporality, implying that each instant reflects a succession while also manifesting as a singular creation that challenges the linearity of traditional time. This reconfigures the ontology of time, suggesting that its essence lies in the act of living, where each experience is a temporal invention which, although finite, is infused with infinitesimal eternity.

The implications of this vision are profound: by holding that time is generated and sustained through life, the TIE questions the notion of a monolithic time and instead presents it as a dynamic fabric of interrelated moments that reveal the creative nature of being. An ontology is established in which time is a process in constant evolution, inseparable from vital experience, where each human being acts as an artist inventing their own temporality in a continuous dialogue with eternity—an eternity that, although never fully reached, inscribes itself in every heartbeat of existence. This ontological reconfiguration not only enriches our understanding of time but also invites a renewed appreciation of the human role in the cosmos, highlighting the creative capacity inherent in life itself.

From the perspective of the Theory of Infinitesimal Eternity, time emerges not as a fundamental ontological category, but as a phenomenon that comes to life through the very experience of existence. In this view, life is not merely an occurrence unfolding within a predefined temporal framework; it acts as the very source of temporal production, generating time in a constant act of creation and transformation.

This notion recalls some of Martin Heidegger’s ideas, who in his analysis of being and time emphasized temporality as an essential feature of human existence. Yet the TIE takes a further step, suggesting that the being of time is an active product of life itself. Heidegger focuses on ‘being-in-the-world’ as a mode of existence that integrates time as a component, whereas the TIE proposes that time does not merely accompany life but is its direct manifestation—emerging in a balancing act in which existence plays at the edge of the abyss of eternity.

Moreover, this vision contrasts with the ontology of Gilles Deleuze, who speaks of duration and time in relation to experience but often maintains a duality between time and eternity. The TIE, by contrast, unifies these concepts by proposing that each instant of life is a creative act that sustains not only time but also infinitesimal fragments of eternity, thereby weaving existence into the continuity of being.

Within this framework, time becomes a dynamic dance between the finitude of vital experience and the infinitude of the eternal, where life, in producing time, reveals its nature as a constant process of invention. This ontological reconfiguration invites us to rethink the meaning of time and the role of the human being in the cosmos, suggesting that each individual is a creative agent actively participating in the construction of their temporality, even while facing the infinite abyss of the eternal—thus generating a rich and multifaceted experience of being.

2. BEING IN INFINITESIMAL AND DYNAMIC ETERNITY

Eternity, from the perspective of the Theory of Infinitesimal Eternity, is radically reconfigured within the ontological sphere, challenging traditional conceptions that present it as an absolute and immutable state, detached from the limitations of time. Rather than conceiving it as a static realm where being rests in perpetual stillness, the TIE proposes that eternity is, in fact, an infinitesimal limit tending toward non-time, which implies an inherent dynamism within its nature.

This semantic transformation of eternity introduces an approach that emphasizes its character as a process in constant motion and change, thereby reflecting an ontology of temporality that acknowledges the interrelation between the eternal and the temporal. In this sense, eternity becomes a succession of instants that, while approaching the threshold of non-time, never fully reach it; it is a phenomenon expressed through the succession of moments that constitute life itself.

This notion of eternity as process allows existence to be understood not merely as a journey toward an absolute end but as a continuous and open exploration, wherein each lived instant contains a fraction of eternity unfolding in an infinitesimal dimension. This stands in contrast to the views of thinkers such as Plato, who regarded eternity as a world of immutable Ideas, or Thomas Aquinas, who linked eternity to divine perfection and absolute being.

By situating eternity within a context of movement and approximation, the TIE opens the door to a new understanding of human existence as a process of continuous creation, in which being is experienced as becoming rather than as static presence. This approach resonates with the ideas of Alfred North Whitehead, who proposed that reality is in constant change, emphasizing the primacy of process in ontology.

Thus, the TIE invites us to rethink the relationship between eternity and temporality as a constant dialogue, where human life is an act of resistance before the eternal, keeping alive the spark of the infinitesimal as it unfolds through each instant, thereby transforming our understanding of being and existence within a cosmos that never ceases to move.

This conception of eternity as a dynamic aspect of being—constantly approaching time without collapsing into it—offers an innovative and illuminating vision within ontology. Rather than being conceived as an inert and transcendent principle, eternity manifests as an active and living process that intertwines with every instant of time, suggesting that the eternal is not a distant state but an immanent presence that becomes almost present within temporal experience.

This idea recalls the thought of Heraclitus, who affirmed that all things flow and that the essence of being is change, where stability is but an illusion. Likewise, Gilles Deleuze explores the notion of becoming as a process that challenges traditional categories of being, emphasizing the importance of difference and change in the construction of reality.

In the context of the TIE, this dynamic suggests that eternity, far from being a passive refuge, is a vital component that nourishes and sustains temporal existence, becoming a force that propels the creation and unfolding of every instant. Thus, each moment of life becomes a point of convergence where the temporal and the eternal coexist, implying that being is not a fixed state but a continuous process that unfolds in an endless dance between the finite and the infinite.

This ontological vision transforms our understanding of existence by presenting it not merely as a linear journey toward a final destination but as a web of eternal interactions that endow our lived experience with meaning and depth. In this regard, eternity—always in motion and always in relation to time—invites us to reimagine life as a journey of perpetual discovery, where every lived instant is an opportunity to draw closer to the eternal without ever fully attaining it, thereby highlighting the beauty and complexity of our existence within a cosmos in constant transformation.

3. LIFE AND DEATH AS ONTOLOGICAL PROCESSES

From the perspective of the Theory of Infinitesimal Eternity, life rises to the level of an active ontological dimension that challenges traditional notions of existence. Rather than being considered a simple phenomenon within the framework of time, life is presented as a creative process that not only coexists with eternity but also challenges and redefines it by inventing time in a constant act of resistance. This active relationship between life and eternity implies that life is not merely receptive; on the contrary, it is the force that gives rise to temporality, transforming its being into a perpetual act of creation.

Viewed in this light, life introduces a fundamental shift in our ontological understanding of being: it is no longer a static or passive reality but a continuous process of invention in which every lived instant becomes a miniature manifestation of eternity. This aligns with the ideas of thinkers such as Martin Heidegger, who emphasized the importance of ‘being-in-the-world’ and the authenticity of existence, yet the TIE extends this concept further by postulating that being is not only in the world but, through its temporality, actively contributes to shaping its form and meaning. In this vision, each moment is a creation born of the struggle between the finite and the infinite, highlighting life as a process that grants meaning to existence, where time becomes a work of art in perpetual elaboration.

Thus, life is transformed into a stage where the temporal and the eternal interact dynamically, emphasizing that the creation of meaning and experience is not an external phenomenon but is bound to the very essence of existence. In this way, the TIE offers a profound reconfiguration of our understanding of life, presenting it not merely as a sequence of temporal events but as an ontological symphony in which every note, every instant, is imbued with the possibility of eternity—illuminating the beauty and complexity of human experience within a universe that continuously unfolds.

Death, within the Theory of Infinitesimal Eternity, is radically reconfigured as well: it ceases to be regarded as an absence or cessation of being and instead becomes an ontological transition toward infinitesimal eternity. From this perspective, death does not represent a definitive event marking the end of existence, but rather a process in which time is exhausted in an infinitesimal and continuous manner, alluding to the notion that being is not entirely destroyed but dissolves asymptotically into the eternal.

This idea suggests that even after death, existence does not vanish completely but persists in a form that, though infinitesimally small, remains meaningful. It transforms our understanding of death into a phenomenon that, far from being the last breath of life, becomes a threshold to a new mode of being integrated within the continuum of time. Death thus appears as a kind of ontological metamorphosis, where what we know as life and being is transfigured into a different expression—a resonance woven into the fabric of the universe, allowing each individual existence, even after its temporal conclusion, to leave a subtle imprint upon the vastness of the eternal.

This vision challenges traditional conceptions that posit death as absolute finality, suggesting instead that every human being, in facing mortality, becomes part of an unending process that connects the temporal with the eternal. The ontology of the TIE compels us to rethink the very nature of existence, conceiving it as a cycle in which the human being, in its finitude, is integrated into a greater order, where every life and every death are moments of transformation that enrich the cosmos, converging within the infinite dance of creation and dissolution.

In this way, death, far from being a closure, becomes a passage into a continuity that transcends temporality, reaffirming the idea that being, though finite, finds its echo in eternity, perpetuating its essence within a reality that never ceases.

4. THE ONTOLOGY OF THE LIMIT: FINITUDE AND THE INFINITE

The concept of the limit is fundamental in the ontology of the Theory of Infinitesimal Eternity, as it provides a framework for understanding the nature of life, time, and their relation to eternity. In mathematics, a limit represents a value that is approached indefinitely but never fully attained. This same notion is applied in the TIE to describe how both life and time are phenomena oriented toward eternity, always moving closer to it without ever fully reaching it. From this perspective, life is not conceived as a journey with a final destination but as a continuous process of approaching the eternal, where each lived instant becomes a step toward an eternity that remains unattainable. This idea contrasts with traditional views in which eternity is presented as an absolute and final state, suggesting instead that eternity is an ever-present horizon, a goal toward which existence continually unfolds. Thus, the TIE reconfigures our understanding of being, positioning life and time not as mere stages along a chronological line but as dynamics always in relation to the eternal. In this framework, death also acquires a new ontological dimension: rather than being the end, it is part of this asymptotic process, where being dissolves into the eternal, maintaining its existence in an infinitesimal form that never entirely disappears. The limit becomes a key tool for exploring the ontology of the TIE, illustrating how the finite and the infinite continuously and complexly interact, revealing a structure of being that challenges conventional notions of finality and permanence, and highlighting the richness of human experience in its search for meaning.

This concept introduces an ontology of the limit, where the being of life and time is defined by its ongoing relation with the eternal. In this ontological framework, time is not regarded as a fixed or preexisting dimension but as a phenomenon in constant becoming, approaching eternity, while life moves toward death. Ontologically, these limits are never fully reached; instead of a definitive conclusion, a perpetual dynamic of tension is established. This interaction suggests that existence itself is a process in which being is always moving toward the infinite but without succumbing to it, giving rise to a reality where the finite and the infinite coexist in an unending dance. This ontology of being-in-tension reflects not only a state of search but also a form of resistance against dissolution into the absolute, where each instant becomes an act of affirmation of life and time in their singularity. Thus, being is presented as a constant journey, an exploration of limits that, though always present, never fully materialize, allowing life and time to continue unfolding within a context of potential infinitude.

An example that illustrates this idea in contemporary thought is the work of philosopher Manuel De Landa, who, influenced by Gilles Deleuze, proposes a non-static ontology in his book ‘A Thousand Years of Nonlinear History’. De Landa argues that reality is not a series of fixed entities but a dynamic and constantly changing process in which relations and interactions define being. He emphasizes that history and existence are complex processes that cannot be understood through absolute or stable categories. In his analysis, the limits of what we consider “real” are in constant reconfiguration, suggesting that our understanding of time and life is also an evolving phenomenon, where being manifests in the tension between the particular and the universal. In this way, both the TIE and De Landa’s work offer a vision of existence that invites us to rethink our relationship with time and the infinite, recognizing that in every moment of our lives, an infinite variety of possibilities unfolds.

5. THE BEING OF THE INFINITESIMAL: THE ONTOLOGICAL PARADOX

The notion of infinitesimal eternity presents an ontological paradox that challenges our traditional conceptions of being and its nature. In classical philosophy, eternal being is generally conceived as a complete, absolute, and immutable state, in contrast to the finite, which is perceived as incomplete, limited, and subject to temporality. However, the Theory of Infinitesimal Eternity introduces an ontology that reformulates this dichotomy by affirming that being can be infinitesimally eternal. This approach suggests that something may possess eternal being despite being infinitely small, which implies that the essence of existence does not lie in magnitude or extent, but in the possibility of persisting in a state of continuity and resistance against dissolution. In this way, eternity ceases to be a static concept and becomes a process in which being manifests in forms that, though minute, possess a quality of permanence. This understanding of eternity challenges the notion that completeness is a requirement for existence, opening the door to a vision of being that is at once fragile and resilient, where the infinitesimal can offer significant resistance against the void of nothingness. The TIE thus reconfigures ontology by suggesting that every fraction of existence, every instant of life, carries within it a potential for eternity, transforming the way we perceive time and being. Thus, the paradox of the infinitesimally eternal becomes a starting point for a new ontological understanding that acknowledges the richness of the small, the persistence of the ephemeral, and the interconnection between life and eternity, proposing that the essence of our being resides not in its magnitude but in its capacity to be part of a continuum that unfolds infinitely within the fabric of time.

This ontological paradox suggests that being is neither finite nor infinite in the traditional sense, but exists in a mode of existence that tends toward the infinite without ever reaching it. This notion reconfigures our understanding of being by presenting it as a continuous process, a dynamic of transformation where the essence of existence never stabilizes but is always becoming. In this sense, being is a living experience that defies rigid categorizations of thought, suggesting that instead of being a static reality, it is a constant interweaving of possibilities. This approach resonates with the philosophy of Henri Bergson, who emphasized duration and the fluidity of temporal experience, but the TIE advances this idea by proposing that being manifests as an approach to an infinite that is never complete, turning existence into an act of perpetual creation. Thus, reality is not only something that is experienced but something that is generated at every instant, reflecting a dynamic ontology that recognizes that each fragment of being is at once a testimony to its transience and its striving toward the infinite.

Judith Butler, in her works on vulnerability and identity, argues that the human being lives in a state of constant tension between existence and the forces that threaten to strip it of meaning. She posits that life is shaped through complex social relations and contexts that continually challenge the stability of identity, reflecting a reality in perpetual change. In this interpretation, identity is not a fixed state but a dynamic process marked by struggle and resistance. This notion of vulnerability aligns closely with the idea that being is never complete; rather, it is always in a process of becoming, evolving in response to interactions with its surroundings. The relationship between individuality and social context becomes a space of creation and transformation, where each action and decision are imbued with a meaning that resists stability. In this way, the human being becomes a fabric of experiences and relations, in which resistance to the forces that attempt to homogenize and limit existence is fundamental. This perspective complements the notion of the Theory of Infinitesimal Eternity, in which life and time are likewise processes in constant construction, challenging traditional notions of completeness and eternity, and suggesting that it is in the intertwining of the ephemeral and the eternal that we find the essence of our humanity.

Heraclitus, in affirming that “everything flows,” captures the essence of being as a process of incessant change, underlining that stability is ultimately an illusion. For him, reality is a river in motion, where each instant is fleeting and unique, which resonates profoundly with the Theory of Infinitesimal Eternity. Both perspectives challenge the traditional notion of a fixed and stable being, suggesting instead that existence is characterized by inherent instability and continuous transformation. Thus, the TIE emphasizes that life itself is an act of constant creation of time, where each moment becomes a manifestation of the eternal, much like Heraclitus conceives the nature of being. In this vision, being is not a state of existence but an experience in perpetual becoming, where the flow of time and eternity interweave, creating a space in which the ephemeral and the eternal coexist, revealing the deep connection between our existence and the ever-transforming cosmos. This understanding not only invites us to accept change but also to actively participate in the creation of meaning in every lived instant, reaffirming the importance of human experience within the vast fabric of time.

6. ONTOLOGICAL CONVERGENCE BETWEEN TIME AND ETERNITY

In the Theory of Infinitesimal Eternity, the concepts of time and eternity converge in a manner that challenges traditional ontological distinctions between the finite and the infinite. This interrelation suggests that time and eternity are not opposing forces but intrinsically coexist within every instant of our experience. From this perspective, time is not reduced to a mere sequence of moments; rather, it becomes a space where the eternal manifests in a palpable and accessible way. The TIE introduces an ontology of duality that reveals how every instant is imbued with the infinite, implying that the temporal and the eternal mirror and contain one another, creating a rich and complex dynamic.

This ontological vision transforms our understanding of being, suggesting that every lived experience is, in fact, a fusion of the finite and the infinite. In every moment of life, we are offered the opportunity to encounter the eternal, not as a distant ideal, but as an immanent reality within the finitude of our actions and decisions. Thus, each instant becomes a capsule of eternity, where the singularity of what is lived intertwines with the vast fabric of existence. This notion not only invites us to rethink the nature of time and eternity but also underscores the ethical responsibility we carry in creating and giving meaning to our moments, for in each act, no matter how small, resides a fragment of eternity that deserves to be appreciated and preserved. In this regard, the TIE urges us to recognize and value the complexity of our existence, where the finite and the infinite embrace in a continuous becoming.

The relationship between finite time and infinite eternity in the Theory of Infinitesimal Eternity reveals an ontological convergence that profoundly transforms our understanding of being. Instead of conceiving temporal being and eternal being as entirely separate entities, the TIE suggests that both are manifestations of the same ontological process in which the finite and the infinite interpenetrate and dynamically coexist. This interrelation implies that each temporal instant, though limited in duration, is not devoid of eternal quality; on the contrary, it contains within its essence a fragment of infinitude that challenges the notion of a merely linear and sequential existence. From this perspective, being becomes a phenomenon that not only unfolds within time but is also enriched by the possibility of eternity, suggesting that our temporal experience is not a simple succession of events but a complex weave where the eternal permeates the temporal.

This view resonates with philosophers such as Plotinus, who regarded time as an emanation of the One, or Whitehead, who argued that reality is composed of events interrelated within a continuous process of creation. The TIE, by integrating this convergence, suggests that temporality is not a limitation of being but a space where eternity can manifest itself in infinite facets. Thus, in each lived moment, a crossing of realities occurs in which the temporal reflects the infinitude of the eternal, blurring the boundaries between them and enabling a new understanding of existence in which being is not static but a process of constant becoming.

This vision redefines ontology by positing that the essence of being lies in its capacity to participate in a whole that transcends the limitations of finitude, emphasizing that every instant is an opportunity to experience the continuity of eternity within temporality. In this way, the TIE offers a conceptual framework that not only acknowledges the complexity of existence but also invites us to reconsider how we interpret our lives and our place in the cosmos, highlighting the intrinsic interconnection between the temporal and the eternal as a shared journey in which each being contributes to the symphony of life.

7. THE ONTOLOGY OF LIFE AS RESISTANCE TO ETERNITY

Life, within the framework of the Theory of Infinitesimal Eternity, is ontologically defined as an active resistance against eternity, establishing a constant struggle against the non-being that absolute eternity represents. In this context, life is not merely a phenomenon unfolding in time but a dynamic and creative process that generates temporality as an act of affirmation against dissolution into the infinite. The TIE presents an ontology in which the being of life manifests in a conflicted relationship with eternity, introducing a dialectic of being that emphasizes the capacity of existence to sustain time in its continuous struggle. This resistance becomes the driving force of being, where each lived instant is an act of defiance against the annihilation implied by eternity. Within this situation, temporality becomes the space where life asserts itself, and existence is defined not only by its finitude but also by its effort to remain present amidst infinitude. The dialectic between life and eternity is not one of absolute opposition but of interrelation, where each element feeds the other, creating a reality in which being is a perpetual invention of temporal moments, capable of challenging the idea of an eternity that, though threatening, never fully absorbs the finite.

Judith Butler, in her reflections on vulnerability and resistance, offers a profound perspective on how lives—particularly those historically marginalized—struggle to assert themselves within environments that often silence or erase them. In ‘Precarious Life’, Butler argues that life is not sustained merely by biological existence but manifests through the capacity to resist oppressive forces that attempt to strip it of meaning. This resistance, according to Butler, is a political act that becomes a form of life in itself, where vulnerability is not a weakness but an essential condition that can be transformed into a source of strength. The TIE complements this vision by defining life as an active process of struggle against the eternity that threatens to nullify it. In this circumstance, both perspectives propose that existence is not a fixed state but a process of resistance and reaffirmation, where each act of recognizing life in its complexity and fragility challenges the forces that seek its annihilation. The struggle for the recognition of life becomes a way of confronting the notion of an oppressive eternity, where the finite continually reclaims itself in its capacity to resist, reminding us that the essence of being is bound to its recognition and affirmation in a world that often seems to deny it.

Emmanuel Levinas, in his ethical approach, places significant emphasis on alterity and responsibility toward the other. Levinas argues that the encounter with the other is fundamental for understanding our own existence; in recognizing the vulnerability of the other, a relationship of responsibility is created that challenges the indifference of the world. Similar to Butler, Levinas suggests that life is defined not merely by existence but by the capacity to respond to the vulnerability of others. While Butler focuses on the struggle for recognition and resistance within contexts of oppression, Levinas provides an ethical vision that underscores how life is enriched through the relation to the other. Both positions converge in affirming that life, in its essence, is an active process of resistance and recognition, where vulnerability and interdependence are fundamental for the understanding of existence.

8. ONTOLOGY OF PROCESS: BEING AS BECOMING

The Theory of Infinitesimal Eternity proposes an ontology of being as continuous becoming. Neither time nor eternity are fixed entities; both are processes that unfold infinitesimally. From this ontological perspective, being is not something static or fully defined, but is always in motion toward a limit that can never be reached.

This vision of being as becoming aligns with philosophical traditions that reject the notion of a fixed and completed being, resonating with the thought of Heraclitus, who claimed that “everything flows” and that reality is constant change and transformation, as well as with the ideas of Gilles Deleuze, who emphasizes the notion of difference and repetition in the creative process of being. The TIE defines being as an open process, where life and time are not static entities but dynamic manifestations that intertwine in a perpetual movement toward an infinity that is never fulfilled. This approach highlights the importance of temporality in the construction of reality, suggesting that each instant is imbued with a creative potential that challenges permanence and the immutability of being. From this perspective, being is not a state but a series of events and relations emerging within a context of constant change.

This stands in contrast to more traditional views of being, which tend to conceive it as absolute and immutable, as in Plato’s metaphysics, where Ideas are regarded as eternal and unalterable realities. The TIE, by introducing the notion of infinitesimal eternity, suggests that even the eternal is in a state of flux, always approaching the unattainable. This opens the way to a more nuanced understanding of existence, where each moment becomes an act of resistance against the disintegration of being. Thus, being is reconfigured as a process of continuous invention, where life itself becomes the creator of its own temporality, weaving together the finite and the infinite within the same ontological fabric that redefines our understanding of reality.

This movement toward an infinity that is never completed presents a fascinating paradox: rather than a final goal, existence becomes a perpetual journey of discovery and creation, where meaning is not something given but something constructed in each instant of being, thereby enriching our understanding of life as a dance between the temporal and the eternal.

CONCLUSION

From an ontological standpoint, the Theory of Infinitesimal Eternity profoundly reconfigures our understanding of being. Within this framework, life acquires its ontological meaning as an active process and creator of time, where each instant becomes an opportunity to manifest the eternal within the finitude of our existence. In contrast, death is not perceived as an absolute end but as an asymptotic transition toward eternity—a movement that never culminates in annihilation, but instead persists within the infinitude of what we have lived. In this way, time and eternity, far from being opposites or dichotomies, coexist in a dynamic and complementary relationship, where both concepts intertwine infinitesimally. Each moment of life acts as a thread connecting temporality with eternity, creating an ontological fabric in which human experiences are inscribed and acquire value. This interweaving invites us to rethink our relationship with time and with ourselves, recognizing that our existence is a process of creation, transformation, and resistance, where eternity is not located in a distant future but in the fullness of each lived instant.

Being is not defined in static terms but is understood as a process of continuous becoming, always moving toward the infinite without ever fully attaining it. In this ontology of the limit, being is perpetually in motion, in tension with its own finitude, yet never entirely exhausted. This vision underscores that life, time, and eternity are not separate elements but interconnected aspects of a single ontological process, where the finite and the infinite converge in a perpetual and dynamic flow. Thus, each instant becomes a manifestation of being that, while confronting its own end, simultaneously creates a space for eternity. Existence is transformed into a journey of discovery, in which every action, every relationship, and every thought form part of a larger process that transcends mere temporality, generating a profound sense within human experience. In this dynamic, the human being is not a mere spectator but a fundamental actor in the creation of reality, responsible for imparting meaning to each moment of life.

PART 4

EPISTEMOLOGY OF THE TIE

From an epistemological perspective, the analysis of the Theory of Infinitesimal Eternity leads us to explore how we know, understand, and conceptualize not only time and eternity, but also life and death. Epistemology focuses on the forms of knowledge, the limits of what we can know, and the methods through which such knowledge is acquired. When epistemology is applied to the TIE, we are invited to examine how this theory challenges our traditional conceptions of the acquisition of knowledge, particularly regarding abstract concepts that are difficult to approach from a strictly empirical or rational perspective. By proposing that time and eternity coexist within each instant, the TIE questions the notion that knowledge must be anchored exclusively in objective observation.

This raises a series of key questions about knowledge that the TIE introduces: How can we know the eternal if it is contained within the ephemeral? What cognitive methods are required to access an understanding of eternity through finite moments? Can we conceive of the knowledge of time as a creative process rather than a mere discovery? Moreover, the TIE suggests that knowledge is not a finished product but an ever-evolving process nourished by our experience and our relation to time. This implies an openness to more intuitive and phenomenological forms of knowledge, where subjective experience becomes a valid means of exploring what has traditionally been regarded as unattainable. Ultimately, the TIE invites us to reconsider the role of epistemology within the philosophy of time, proposing that the understanding of eternity may be found in the lived experience of each moment, rather than in the pursuit of an absolute and definitive knowledge.

1. KNOWLEDGE OF TIME: QUANTITATIVE VS. QUALITATIVE PERSPECTIVES

The Theory of Infinitesimal Eternity introduces a new way of conceptualizing time that differs radically from traditional conceptions, whether scientific, philosophical, or everyday. Instead of understanding time as a linear continuum measured in fixed units (seconds, minutes, years), the TIE proposes that time is a creation of life—emergent and finite—that resists eternity.

Epistemologically, this raises the question of how we can know time and what meanings we attribute to this concept in light of our experiences. The traditional conception, influenced by the scientific and quantitative approach, assumes that time is an objective phenomenon, measurable and understandable through empirical methods, where temporal units become rigid parameters that define our understanding of the world. However, the TIE suggests that time is not an external object to be known, but something that depends on the subjective experience of life—a process unfolding within the interiority of being. This approach resonates with the philosophies of Henri Bergson, who argued that time cannot be understood through quantitative measurement but through its “lived duration,” a qualitative experience that reflects the richness of human existence and its interaction with the world. The TIE invites us to reconsider the epistemology of time, proposing that knowledge of it does not arise from mathematical calculation, but from the perception and meaning each individual assigns to the moments of their life. This turn toward subjectivity implies a profound connection between being and knowing, suggesting that time manifests itself through memory, anticipation, and present experience. Each lived moment becomes not merely a point on a temporal line but an active construction of meaning, in which the knowledge of time becomes an act of personal creation. The TIE proposes an epistemology in which time is an experience intimately bound to being, and knowledge becomes a dynamic process reflecting the interrelation between subjectivity and the external world, thereby enriching our understanding of reality and of ourselves in the process. This perspective not only challenges traditional scientific notions but also opens the door to a deeper and multidimensional understanding of time, where the temporal is integrated with the eternal in a continuous becoming that defines our existence.

Therefore, from an epistemological standpoint, the Theory of Infinitesimal Eternity (TIE) compels us to reconsider the foundations of knowledge about time. If time is something that life “invents” in each instant, the understanding of time cannot rest solely on external observations or objective measurements, which reduce time to a succession of linear events. Instead, the TIE invites us to explore more introspective and phenomenological forms of knowledge, centered on the inner and subjective experience of temporal being. This entails a search for understanding that acknowledges the richness of individual experience, where each moment is lived in a unique and personal way, granting our perception of time a profoundly human dimension. Thus, time becomes a phenomenon that transcends numbers and clocks, reverberating within our consciousness and emotions, which in turn suggests that knowledge of time must include an analysis of how each individual lives and gives meaning to their own temporality. This perspective enriches our philosophical understanding of time and leads us to a profound recognition of the interconnection between our personal experiences and the broader current of existence, making the comprehension of time both individual and collective.

2. KNOWLEDGE OF ETERNITY: LIMITS OF HUMAN KNOWLEDGE

In the Theory of Infinitesimal Eternity, eternity is conceived as a limit tending toward zero—an infinitesimal entity present in every instant of time. This approach suggests that, although eternity may appear to be a distant and abstract concept, it is bound to our everyday experience. Yet, from an epistemological perspective, profound questions arise about how we can know something that, by its very nature, is unattainable and transcends direct experience.

This paradox invites critical reflection on the nature of knowledge itself. If eternity is infinitesimal and therefore elusive, how can we approach its understanding? Here, the TIE challenges traditional conceptions of knowledge grounded in empirical observation and quantitative measurement. Instead of viewing knowledge as the accumulation of objective data, the TIE suggests it may be more productive to adopt an approach that recognizes the validity of subjective experiences and personal intuitions. Eternity, under this reasoning, can be seen not only as an abstract state but also as a lived experience revealed through the appreciation of each instant.

Moreover, this conception encourages us to explore methods of knowledge that extend beyond the limits of logical reasoning. Practices such as meditation, contemplation, or art may allow for a deeper connection with the ephemeral nature of time and the eternal. Within this framework, the epistemological challenge becomes an invitation to broaden our perceptions and explore new ways of understanding that which, though seemingly unreachable, is constantly present in our surroundings. Thus, the TIE not only redefines eternity but also reshapes our relationship with knowledge, emphasizing that forms of understanding can emerge from direct experience and from the recognition of infinity within the finite.

In the philosophical tradition, eternity has often been regarded as a concept beyond the reach of human knowledge, reserved for the metaphysical or theological realm, where its absolute nature and separation from the temporal world have made it difficult to grasp. However, the Theory of Infinitesimal Eternity (TIE) proposes a novel approach that transforms this perspective, positing that we can know eternity indirectly through its intrinsic relation to time. Each instant of time contains an infinitesimal form of eternity, which implies that although we can never experience or know eternity in its totality, we can apprehend it in its smallest manifestation, in the fleeting fragments that unfold in our daily experience. This epistemological framework redefines how we understand knowledge and perception, suggesting that the eternal is not merely a mental construct but is embedded in the temporality of our lives. Through lived moments—where time feels intensely present—an imprint of eternity is revealed, inviting us to explore the depth of our experiences. Thus, the TIE proposes that each instant is not only a point in a temporal sequence but also a portal to the eternal, where human beings may glimpse what lies beyond the finitude of their existence. This understanding leads to a richer and more nuanced conception of knowledge, where eternity is not a distant absolute but a dynamic and accessible aspect manifesting within our lived experiences. In this sense, it establishes an epistemology that goes beyond reason and logic to also encompass intuition and sensitivity, enabling us to apprehend what escapes mere quantification of time. The TIE encourages us to cultivate an attitude of openness and attentiveness to fleeting moments, suggesting that in the flow of time, eternity reveals itself, transforming our understanding of reality and of knowledge itself. At this point, the relationship between time and eternity becomes fertile ground for philosophical reflection, where human beings may recognize their capacity to access the eternal—not through absolute knowledge, but through lived experience rich with possibilities of connection to the infinite.

To illustrate this relationship between time and eternity in the context of the TIE, we may consider the thought of Martin Hägglund, who in his work This Life argues that temporality is essential to human life and that our understanding of meaning is nourished by the transience of our experiences. Hägglund maintains that the value of life lies precisely in its finitude, which drives us to seek meaning and connection in every instant. Much like the TIE, which proposes that each moment of time holds an infinitesimal fragment of eternity, Hägglund’s vision highlights how the ephemeral allows us to access what is truly significant. Thus, both perspectives suggest that although eternity as such remains unattainable, it is within temporal experience that we can glimpse its essence, finding in the brevity of life an echo of the eternal. This convergence between temporality and eternity not only reinforces our ontological understanding of being but also provides a rich path for exploring the dimensions of knowledge, meaning, and connection in a world of constant change.

This epistemological approach introduces the notion of knowledge by limit, suggesting that eternity is not known directly but apprehended through its infinitesimal manifestation in time. According to the TIE, human knowledge is intrinsically tied to the experience of time, which becomes the vehicle through which we may glimpse the eternal. The epistemology of the TIE thus suggests that human knowledge has inherent limits, derived from our temporal and finite nature. Yet these limits are not insurmountable; they can be conceptualized and represented mathematically, offering a pathway for humanity to approach the understanding of eternity in an asymptotic manner. Mathematics becomes a fundamental tool, not only describing but also revealing the dynamics of our temporal experience. Through this approach, we can recognize that although we will never attain eternity in its entirety, each attempt at understanding brings us closer to it, creating a process of continuous exploration. Thus, the relationship between time and eternity becomes a field of study not only philosophical but also mathematical, where infinity is refracted into lived moments that, though brief and fleeting, contain the essence of the eternal. This framework of knowledge opens new ways of reflecting on the meaning of existence, life, and being, urging us to value each instant as an approach to that which is unattainable yet always present.

3. KNOWLEDGE OF DEATH: AN INTUITIVE KNOWING

According to the Theory of Infinitesimal Eternity, death does not present itself as an absolute end, but rather as a transition into an infinitesimal eternity that manifests within each temporal instant. This epistemological approach challenges the traditional conception of death as an unfathomable and utterly incomprehensible mystery. Instead of being an event that entirely escapes our understanding, death becomes a process that can be analyzed and reflected upon through our comprehension of time.

If we consider death as the infinitesimal exhaustion of time, the possibility opens to acquire partial knowledge of this phenomenon through meditation on the very nature of time. This implies that, although death itself may be inescapable, its implications can be explored and understood in relation to the experience of life. In this sense, we may reflect on how we live time, how we experience each instant, and how those experiences contribute to a broader understanding of death as part of a continuum.

This perspective allows knowledge of death to be enriched by introspection and the analysis of our temporal experiences. For instance, by appreciating the fleeting nature of lived moments and recognizing that each of them contains a fraction of the eternal, we may glimpse death not as a dark abyss but as a natural and continuous transition. Thus, the TIE transforms our relationship with death, encouraging a reflection that not only seeks to respond to questions about the end of life but also invites us to value and more deeply understand the experience of time and its intrinsic relation to eternity.

Traditional epistemology faces a significant challenge in the study of death, since it is an event that escapes direct experience and the possibility of shared knowledge. However, the Theory of Infinitesimal Eternity presents a perspective that allows death to be inferred and understood in a more accessible manner. By conceiving time as a phenomenon that infinitesimally decomposes within a continuous process, the TIE suggests that we may approach an understanding of death by exploring how each temporal instant tends toward a limit—a non-time that represents the eternal. This epistemological approach transforms our relation to death by focusing on the temporal process rather than treating death as an isolated event. Although we cannot experience death itself, we can come to know it through reflection on time and its relation to existence. This inferential knowledge allows death, rather than remaining a nebulous and terrifying concept, to become a more intelligible aspect of human experience, where the finitude of life is mirrored in the infinitude of the eternal. The TIE thus provides a path for approaching the phenomenon of death that, though indirect, yields meaningful understanding by situating it within time and temporality, thereby revealing its intrinsic connection with life itself.

An example of this approach may be found in the work of Martin Heidegger, who, in ‘Being and Time’, addresses death as an integral part of human existence, emphasizing the importance of the concept of “Being-toward-death.” Heidegger argues that awareness of death gives meaning to life, inviting authenticity that arises from the recognition of our finitude. However, his approach focuses more on the direct human experience of death, proposing that the recognition of death is fundamental to living authentically. By contrast, the TIE expands this idea by offering a framework in which time itself becomes the vehicle of our knowledge of death. Whereas Heidegger invites reflection on death as a phenomenon that conditions our existence, the TIE suggests that we may understand death as a limit toward which time moves infinitesimally, enabling us to obtain a more accessible and less distressing knowledge by situating death within the continuous process of time. This distinction highlights how the TIE offers an ontological and epistemological perspective that, while acknowledging our inevitable relation to death, seeks to comprehend it through the dynamics of time rather than confronting it merely as an absolute end.

4. INFINITESIMAL KNOWLEDGE: THE EPISTEMOLOGY OF THE LIMIT

The notion of the infinitesimal in the Theory of Infinitesimal Eternity raises an epistemological challenge that touches the very boundaries of human knowledge. In mathematics, infinitesimals are entities that tend toward zero without ever reaching it, and this idea, transposed into the philosophical realm, invites us to reconsider how we perceive and understand phenomena that elude our capacity for direct apprehension. From this perspective, knowledge of the infinitesimal involves a fundamental paradox: we confront something that, although never fully tangible or attainable, can nevertheless be conceptualized and approximated. This epistemology of the infinitesimal recalls Kant’s critique of the limits of human knowledge, where the Prussian philosopher argued that we can know phenomena but never the noumenon, situating us on the threshold between what can be perceived and what transcends our capacity for apprehension. However, while Kant maintains a rigid distinction between phenomenon and noumenon, the TIE suggests that the eternal and the temporal, the absolute and the relative, are intrinsically connected through an asymptotic relation in which eternity is not an unreachable external point but a reality unfolding within time itself, infinitesimally. This approach also evokes the Hegelian dialectic, in which opposites intertwine in a continuous process of becoming, but the TIE goes further, positing that temporal becoming always contains a portion of the eternal, and that comprehension of this process is subject to a limit-knowledge. Compared with Nietzsche’s theory of the “eternal recurrence,” which posits an infinite repetition of all events, the TIE does not advocate for cyclical repetition but rather for a form of eternity that exists on the very edge of each instant of time. This concept also resonates with Deleuze’s notion of “difference,” where the infinitesimal represents a point of irreducible difference, a singularity that never fully repeats but continues to operate within the flow of events. Thus, the TIE proposes an epistemology that not only acknowledges the limits of thought but finds within those limits a source of revelation and continuous creation. Far from being an obstacle, the infinitesimal becomes the key to a dynamic and ongoing understanding, where knowledge is not the accumulation of definitive truths but a constant approximation to the eternal through time. This redefines knowledge not as something fully possessed but as a perpetual movement toward the unknown, where the value lies as much in the approximation as in the impossibility of attaining the absolute.

The TIE proposes an epistemology that recognizes knowledge of reality as a process in constant evolution, where the relation between time and eternity manifests as a series of approximations in which complete understanding is never achieved. This approach diverges from absolutist visions that seek immutable and final truths, suggesting instead that each temporal experience contains a spark of eternity, allowing knowledge to be constructed in a fragmentary way. The notion of “limit” becomes central in this process, reminding us that our comprehension is always moving toward a horizon that can never be fully reached. Through this lens, knowledge is not seen as a mere accumulation of data or facts but as a continuous dance between the finite and the infinite, where each moment of life reveals aspects of eternity, albeit in a partial and limited manner. This implies that, although our understandings of reality are always mediated by temporal experience, they are nonetheless valuable and meaningful, reflecting a constant effort to approximate the eternal. In this way, our search for meaning and truth is seen not as a fixed destination but as a perpetual journey. The TIE thus transforms our conception of epistemology by inviting us to recognize the beauty of incompleteness and the richness of the provisional in a world where knowledge is a dynamic and active process unfolding before us, always suggesting but never fully revealing the mystery of eternity.

Quentin Meillassoux, in his work ‘Après la finitude’, challenges the limitations of modern thought by positing that knowledge can transcend the finite through speculation. Meillassoux argues that, although our experience is rooted in a finite and ever-changing world, it is possible to conceive of the absolute through an epistemology grounded in contingency. Similarly, the TIE suggests that, although our knowledge of eternity is mediated by time and always partial, we may nonetheless approach the eternal through its temporal manifestations. Both approaches imply an openness toward the infinite, though Meillassoux does so by challenging the supposed impossibility of knowing the absolute, while the TIE emphasizes the value of temporal experience as a means of glimpsing the eternal, though never in its entirety. This convergence in the pursuit of knowledge that transcends the limitations of time underscores the richness of contemporary epistemological approaches, where uncertainty and incompleteness are not obstacles but fundamental features of the exploration of being and knowledge.

This perception aligns with certain philosophical traditions that view knowledge as dynamic and constantly evolving. It is not absolute knowing that we attain, but a knowing always in becoming, one that approaches truth without ever fully reaching it. This generates a form of dialectical epistemology in which knowledge is constructed through the tension between the finite and the infinite.

5. EPISTEMOLOGY OF LIFE: CREATION OF KNOWLEDGE IN THE INSTANT

In the Theory of Infinitesimal Eternity, life is a process of continuous creation of time, a radically dynamic epistemological notion: life invents time and generates knowledge actively and constantly. This approach breaks with traditional conceptions of knowledge as something preexisting that human beings merely discover or unveil through observation and experience. Rather, the TIE suggests that knowledge is something fabricated in the very process of living, insofar as each instant of existence entails a unique relation to time. In this sense, the epistemology of life in the TIE converges with William James’s pragmatist theory, which posited that knowledge is inseparable from action and that truths are verified and constructed in practice, in the flow of lived experience. As in pragmatism, where ideas are tools for action and thought is measured by its practical utility, the TIE maintains that knowledge of time and reality is neither static nor absolute but emerges from the active creation of time in each moment of life.

Moreover, the TIE resonates with Jean-Paul Sartre’s existentialism, which asserts that existence precedes essence and that human beings are condemned to freedom—to the responsibility of creating their own meaning in a world without preestablished truths. Similarly, if life creates time, then the human being is implicated in an ontological responsibility in the creation of both knowledge and temporal reality, adding an ethical dimension to the act of knowing. In contrast with classical epistemologies based on the correspondence between external reality and the knowing subject, such as Cartesian rationalism, the TIE rejects this duality of subject and object, since time, life, and knowledge are intertwined in a process of mutual creation. In this way, knowledge is not merely a passive representation of an objective world but an intrinsic part of the living being that, in creating time, also shapes its perception of the world. This connects with Edmund Husserl’s phenomenology, which centered its inquiry on conscious experience and how reality is constituted by subjectivity. However, while Husserl focuses on the intentionality of consciousness toward objects, the TIE introduces temporality as something actively generated by life itself, suggesting that we not only perceive the world in time but also create that temporality, transforming life into a process of continuous and dynamic knowing. Thus, the epistemology of life in the TIE entails an understanding of knowledge as something deeply connected with finitude and lived experience, where the act of knowing is inseparable from the creation of temporality in each moment. Ultimately, this perspective invites us to reconsider the role of human beings not as mere receivers of objective truths but as active creators of knowledge and reality, engaged in an unending process of approximation to the eternal through the finite.

This conception introduces a constructivist epistemology within the TIE, where knowledge is not a given or passively received good but something actively generated by human beings in the act of living and experiencing time. From this perspective, knowledge becomes a dynamic and ever-evolving phenomenon, intimately tied to existence itself. Every life experience, every lived instant, contributes to the construction of knowing, which implies that knowledge is inherently contingent, situated, and context-dependent. This challenges the notion that knowledge can be wholly objective or universal, suggesting instead that it is profoundly subjective and bound to lived experience. The TIE invites us to understand knowledge as a process of concretization between the individual and the world, where temporality and experience are fundamental elements that inform and shape our comprehension of reality. Knowledge is not a mere reflection of external reality but becomes an act of creation that mirrors the complexity of life and becoming, highlighting the interrelation between being and knowing.

An example that illustrates this constructivist epistemology is found in the work of Donna Haraway, particularly in her concept of situated knowledge. Haraway argues that knowledge is always established and contextualized, meaning it cannot be regarded as a set of universal truths but as a construction emerging from particular and positioned experiences. Much like the TIE, which proposes that knowledge is formed through lived experience in time, Haraway emphasizes that our understanding of the world is shaped by our positions within it, including our identities, cultures, and historical contexts. Both theories share the idea that knowledge is an active and relational process in which the subject is intrinsically involved in the creation of meaning, underscoring the dynamic and contingent nature of knowing.

6. THE EPISTEMOLOGY OF BEING AND BECOMING

The epistemology of the Theory of Infinitesimal Eternity presents a vision of being that is profoundly interwoven with becoming, challenging traditional conceptions that separate being as something fixed or immutable from the flow of time. In the TIE, being cannot be conceived as a static entity but rather as a process in constant transformation, defined by its dynamic relation to time and eternity. This perspective aligns with the philosophy of Heraclitus, who claimed that everything is in continuous flux and that “one cannot step into the same river twice,” for both the river and the observer are constantly changing. As in Heraclitus, where becoming is the essence of reality, in the TIE being exists in a perpetual state of creation and re-creation, just like the time it generates. There is no fixed substance or essence that subsists behind the flow of temporal events; instead, being is a function of its becoming in time, which implies that the knowledge of being cannot be static or definitive.

This view challenges the Aristotelian essentialist conception of being as something with an inherent nature and a defined telos, moving instead toward contemporary visions of becoming, such as those proposed by French philosopher Henri Bergson. For Bergson, time—or ‘durée’—is the essence of life, and becoming is a continuous process of creative evolution that cannot be fully captured by the intellect, since the intellect tends to fragment time into discrete moments. In the TIE, similarly, the knowledge of being and of time is something gradually constructed and never fully attained, because both being and time exist in a constant state of approximation to eternity without ever reaching it. Knowledge of being, therefore, is not a matter of grasping an eternal essence or a fixed state but of understanding this dynamic process of personal creation that is life itself—something that also resonates with Hegel’s dialectical process.

In Hegel’s dialectic, being unfolds through a series of contradictions and resolutions leading to self-knowledge and the realization of Absolute Spirit, but this process never ends, as each synthesis generates new oppositions that drive the becoming of being. The TIE, while not sharing Hegel’s absolute teleology, sees becoming as an infinitesimal and asymptotic process in which knowledge unfolds through a continuous approach to the eternal but is never fully achieved. This introduces an epistemology of openness and indeterminacy.

This perspective of being in constant becoming also opposes Cartesian dualism, which separates mind (res cogitans) from body (res extensa) and posits an essential, immutable being in the cogito. In contrast, the TIE rejects the idea of a fixed essence, since life and being are in constant construction—not only through lived time but also through interaction with others and with the world. This approach also resonates with existentialist philosophy, particularly in the works of Simone de Beauvoir, who argued that the human being exists in a continuous process of self-making through choices and actions, implying a conception of being that is always in the making and never given in advance. For the TIE, as in existentialism, being has no predetermined essence but is defined in becoming, and this becoming is intrinsically tied to the creation of time in each lived instant.

In this way, the epistemology of being and becoming in the TIE invites us to rethink our ideas of knowledge: not as something static or absolute but as an unfinished process of approximation to an eternity that expresses itself in the constant becoming of being, where life, time, and knowledge intertwine in an infinite dance of creation and re-creation.

This approach introduces an epistemology of becoming, in which knowledge is conceived as a phenomenon in constant evolution, subject to ongoing revisions, expansions, and deepening. Within this framework, there is no final point or absolute state of knowledge, since the quest for definitive truths is replaced by the acceptance that human knowledge is inherently incomplete and always open to change. This conception distances itself from dogmatic approaches that seek fixed certainties, promoting instead a dynamic and flexible vision of knowing. The epistemology of the TIE holds that knowledge is generated through the interaction between subject and world—a living process in which experiences and interpretations are constantly interwoven. By understanding knowledge as becoming, the emphasis is placed on adaptability and openness to continuous learning, allowing individuals to navigate a complex and ever-changing universe while recognizing that each new instant can bring new perspectives and insights.

An example that illustrates this epistemology of becoming can be found in the thought of Bruno Latour, a contemporary philosopher known for his work on actor-network theory. Latour argues that knowledge is not a fixed representation of reality but a dynamic network of relations between humans and nonhumans, where facts and truths are constantly negotiated and reconfigured within the social process. Like the TIE, which emphasizes the processual and evolutionary nature of knowledge, Latour’s theory rejects the idea that knowledge can be absolute or final. Instead, it suggests that what we consider “true” is the result of a developing process involving multiple actors, complementing the view that human knowledge is always in a state of becoming—susceptible to change and reinterpretation as we interact with our environment.

CONCLUSION

From an epistemological perspective, the Theory of Infinitesimal Eternity poses a significant challenge to traditional conceptions of knowledge, suggesting new ways of approaching the understanding of time, life, death, and eternity. Instead of addressing time through objective and chronological measurements, the TIE emphasizes subjective experience as the primary path to knowledge. This implies that our understanding of time is deeply influenced by how we live and feel each moment, suggesting that time is not merely a succession of events but a fabric of lived experiences.

Likewise, although eternity may appear to be an unattainable and abstract concept, the TIE enables its comprehension in terms of infinitesimals: an eternity that manifests itself in every instant of our existence. This approach transforms eternity into something accessible and relevant in our daily lives, allowing us to conceive of it as a dimension residing within each temporal experience, rather than as a distant and separate state.

With regard to life, the TIE redefines its role by proposing that we are active agents in the creation of knowledge. Rather than passive receivers of preexisting truths, our lives become dynamic processes in which knowledge is continuously constructed through our interactions with time and with others. This approach promotes an ethic of responsibility, where each decision and action not only shapes our present but also contributes to the creation of a legacy that extends infinitesimally into the future. In this way, the TIE not only challenges our notions of what it means to know but also invites us to reimagine our existence and the impact we have on the world around us.

The epistemology of the TIE asserts that human knowledge is always in process, never fully attained, and that knowledge of the infinite and the eternal is always approximate. This approach invites us to rethink the nature of knowledge and to embrace its dynamic, contingent, and ever-evolving character, rather than aspiring to absolute and immutable truths.

PART 5

ETHICS OF THE TIE

From an ethical perspective, the Theory of Infinitesimal Eternity offers a framework that profoundly transforms our understanding of the value of life, time, and death. By conceiving time not as a mere succession of moments inevitably leading to a definitive end, but as a continuous process of infinitesimal exhaustion that never reaches completion, the TIE redefines the meaning of human action in the world. Ethically, this approach invites us to value each moment not only as part of a linear temporal sequence but as a manifestation of eternity within the finite. Within this framework, life becomes a constant opportunity to intervene in the flow of time and, at the same time, a form of resistance against dissolution into the eternal. Thus, ethics in the TIE is built upon a paradox: while life tends toward an exhaustion that seems inevitable, human beings bear the moral responsibility to maintain and affirm their being—not as a static reality, but as a continuous process that is never completed or extinguished. This perspective compels us to reconsider our notions of responsibility, as our actions are not limited to finite time but resonate infinitesimally within a dimension of eternity, shaping the way being unfolds over time.

Martha Nussbaum, in her capabilities approach, argues that human life should focus on the continuous expansion of opportunities for personal and collective flourishing. Nussbaum asserts that ethics is not merely about fulfilling a set of duties but about ensuring that each individual has the possibility to fully develop their capacities over time. This idea reflects the TIE’s notion that each moment contains infinitesimal potentials for the development of being, and that life should not be viewed merely as a passage toward death but as a process of continuous expansion and resistance against the annihilation of identity. In both cases, ethical responsibility is not simply a matter of tangible outcomes within finite time but of sustaining and enhancing what life can become, never exhausting its potential.

For Aristotle, human flourishing is constructed in time, yet it is the activity itself that holds intrinsic value, not only the final result. Aristotelian ethics, centered on the full realization of human potential through a virtuous life, resonates with the TIE’s proposal insofar as both emphasize the importance of process and continuous becoming. However, the TIE introduces an additional complexity by suggesting that this process never reaches a definitive culmination, as each ethical act reverberates infinitesimally toward an eternity that is never fully attained. Thus, while Aristotle views the virtuous life as a trajectory toward an end, the TIE challenges this notion by proposing that ethical being is in constant construction and never fully closed, opening an endless horizon of ethical possibilities.

1. THE VALUE OF TIME AND LIFE

The Theory of Infinitesimal Eternity redefines the relationship between finite time and eternity by suggesting that each moment of life is a triumph over the threat of dissolution into the eternal. This perspective proposes that, far from being merely an accumulation of moments leading to an inevitable end, each heartbeat, each breath represents a unique creation of temporality in the face of the non-time of absolute eternity. Life becomes a series of small victories in which finite time asserts itself against the immensity of the eternal. From an ethical standpoint, this conception introduces what could be called a “morality of the instant.” If each moment holds incalculable value due to its resistance against eternity, then every action and decision made in these moments acquires exceptional ethical significance. This ethics of the instant implies that each choice and act carries a moral weight that cannot be trivialized or postponed, as they represent an affirmation of being within a temporal flow that never repeats itself in the same way. Thus, the TIE suggests that life should be lived with a deep awareness of the value of each moment, since each is, in essence, an act of creation and resistance against dissolution into the infinite. This approach transforms ethics into a continuous practice of recognizing the intrinsic value of temporality, implying a responsibility to honor and preserve each moment as a unique expression of existence.

Zygmunt Bauman argues that, in contemporary society, relationships, decisions, and identities are fluid and ephemeral, compelling individuals to confront the challenge of living in a time that is increasingly uncertain and fragmented. In his work Liquid Life, Bauman asserts that modern life consists of disconnected moments that nonetheless demand constant reevaluation. Like the TIE, Bauman suggests that, in such a context, moments acquire particular ethical value, since we cannot rely on long-term continuity or stability. Rather than pursuing grand projects or goals that transcend time, Bauman emphasizes the importance of attending to immediate decisions and small everyday acts as a form of ethical resistance in a world tending toward the transient and fleeting. Thus, both Bauman and the TIE highlight the ethical relevance of the present moment, albeit from different perspectives: for Bauman, as a response to the uncertainty of modernity, and for the TIE, as an ontological challenge to eternity.

Kant maintained that morality should be based on universal and timeless principles, such as his categorical imperative, which prescribes acting only in ways that could be universalized. For Kant, morality transcends particular moments and connects with timeless rationality. However, from the TIE perspective, morality is constructed through the recognition of the intrinsic value of each moment, rather than adherence to abstract or universal principles. Whereas Kant prioritized the universality of moral duty, the TIE introduces an ethics centered on the concrete and unrepeatable character of the lived moment. This distinction suggests that, while Kant sought a foundation for morality independent of time, the TIE maintains that morality emerges from the fact that each moment of life is unique and never recurs, granting each ethical act irreplaceable value. Although both approaches deeply value morality, they differ in their conception of how and where it manifests: in Kant, in timeless universality; in the TIE, in the finite instant that resists eternity.

The ethics of the Theory of Infinitesimal Eternity aligns closely with a conception of life as precious and fragile, where each moment carries significant value. This perspective emphasizes that our decisions and actions, within a limited time, hold critical moral importance, as each lived moment is an opportunity to create and give meaning to our existence. In this ethical framework, life is not merely a resource to be consumed but an active process of creation, where each choice can influence more than the present instant.

The ethical approach emerging from the TIE promotes a philosophy centered on valuing the present, highlighting the moral responsibility each individual bears in their relationship with time and with others. This sense of responsibility becomes even more pressing when considering that we are constantly creating time in a context where the finite confronts the eternal. Every action, word, and thought becomes a contribution to a legacy that transcends the moment, extending infinitesimally into the fabric of existence. Thus, the TIE invites a conscious and deliberate life, where making the most of the present becomes an ethical obligation, urging individuals to live in a way that honors the fragility and beauty of life while simultaneously opening pathways to eternity through their actions in the here and now.

2. THE RESPONSIBILITY TO CREATE TIME

If life “invents” time, as proposed by the Theory of Infinitesimal Eternity, this creation can be interpreted as an ethical act in itself, where the human being becomes an active agent of time, shaping and constructing their temporal reality. From this perspective, the mere act of living is not a passive phenomenon, but a continuous invention of temporality in the face of the all-encompassing threat of eternity. This act of creation and resistance becomes a moral act in that, by shaping time, the individual also shapes their own existence and that of those around them, generating a space in which ethical choices can be made that influence the course of their life and the construction of their identity. In this regard, the time created by life becomes a measure of the authenticity and moral commitment of each human being, where each moment of choice is an opportunity to affirm life against the void of the eternal. This ethics of personal growth and the creation of time connects with notions of self-realization present in existentialist and humanist philosophies, in which the human is not merely a spectator of time, but an active creator of its meaning.

Kant maintained that morality is based on the human capacity to act according to rational and self-imposed principles, rather than merely following natural laws or external impulses. From a Kantian reading, the TIE can be seen as an expansion of this freedom: the creation of time would be an act of radical autonomy, in which each individual, through their actions and decisions, not only aligns with universal moral laws but literally forges the temporal framework in which those laws manifest. Life, then, is ethical not only in the traditional sense of acting according to moral principles, but also in the deeper sense of being the creative act that shapes the time and space in which those ethical decisions unfold.

We can draw a comparison with Alain Badiou, who emphasizes the importance of the “event” as a disruptive moment that breaks into the continuity of what he calls the “being” and the “multiple.” For Badiou, events are points where the new emerges and challenges the existing structure of reality. Applied to the TIE, each moment of life and every act of creating time can be understood as an event in the Badiouian sense—a moment in which the individual transcends the repetition of the eternal and the known, opening new possibilities for being. The creation of time, then, is not only a resistance to eternity, but also an opening to the new, to the unexpected, where the individual invents not only time but also their own being and their own future.

Slavoj Žižek often explores the tension between the eternal and the temporal from psychoanalytic and Marxist perspectives. Žižek argues that subjects are trapped in a tension between symbolic structures that appear eternal and singular acts that can disrupt those structures. While the TIE does not directly address symbolic structures in the Lacanian sense, it does suggest a way to understand how individuals, through their lives and actions, create time as a form of resistance to the eternal—similar to how Žižek proposes that subjects can break free from ideologies or symbolic systems that enclose them. In both cases, there is a constant struggle between the finite and the infinite, between the individual and the totalizing system, whether in terms of eternity or ideology.

The notion that the creation of time is a moral act brings us back to Aristotelian ethics, in which virtue is achieved through action and the cultivation of habits. Aristotle conceived of the good life as one of continuous activity, in which the human realizes their potential through virtuous actions over time. From an Aristotelian perspective, the TIE can be seen as a framework in which time, far from being a mere chronological sequence, is the space in which the individual can realize their telos, their ultimate purpose, through actions that not only resist eternity but also embody ethical fulfillment. Thus, creating time through life becomes not only a moral act but also the way in which the human realizes their purpose in the cosmos.

From this perspective, ethical responsibility becomes an imperative to live authentically and fully, recognizing that time is not a passive backdrop, but an active creation emanating from life itself. Every moral decision we make not only impacts the present or the immediate future, but also profoundly shapes our experience of time, influencing how we perceive and relate to the world and to others. This vision suggests an ethics that goes beyond mere adherence to norms, promoting a vital commitment that involves awareness of how our actions contribute to the construction of meaningful time. Thus, our choices are not merely isolated transactions or interactions; they are part of a broader network that affects the flow of time and the shared experience of existence. In this approach, TIE ethics encourages continuous reflection on the impact of our decisions, suggesting that each act can be an opportunity to enrich the fabric of the time we inhabit. This commitment not only fosters a more conscious and reflective life but also emphasizes the importance of cultivating relationships that reflect deep responsibility toward others and the legacy we leave, creating an echo of eternity in every lived moment.

3. THE ETHICS OF BEING AND BECOMING: THE VALUE OF THE INFINITESIMAL

The idea that eternity is experienced infinitesimally in every moment opens the door to an ethics of becoming, in which each action and decision is inscribed within a broader process of creating meaning and existence. This vision proposes a radical reconfiguration of time and morality, where eternity is no longer a transcendent or final goal to be aspired to, but a subtle and constant presence that manifests in every moment of the present. From this perspective, each individual action acquires an ethical significance that transcends its immediate effect or visible consequences, because what we do in the moment contains a portion of the infinite, linking the finitude of our decisions to the eternal flow of time. This conception suggests that human beings, through their everyday acts, do not merely live in time but actively participate in its construction, continuously integrating the finite and the eternal. Here, morality is not limited to traditional ethical principles based on what is good or just in temporal terms; rather, each act, however small, contributes to a greater process of becoming and creation. The notion of responsibility expands: living authentically implies not only acting for one’s own benefit or that of others in the present but understanding that each decision harmonizes within the fabric of time, weaving an echo that endures beyond its finite moment. The ethics of becoming entails a constant commitment to creating meaning, an invitation to live in accordance with the idea that every second holds the potential to be eternal, infused with the possibility of the infinite.

Applied to a contemporary philosophical example, this concept can be compared with the work of Timothy Morton and his theory of “hyperobjects” and dark ecology. Morton, in his attempt to think time beyond human limits, suggests that human actions have effects on temporal scales that we cannot fully comprehend, particularly in the context of climate change. Here, as in the Theory of Infinitesimal Eternity, what occurs in a moment is not merely a temporal unit but part of a larger and deeper network that extends beyond what humans can perceive. Decisions affecting the environment, even if seemingly small in the moment, contain an infinitesimal temporal dimension with implications for the distant future of ecological systems. Both approaches share the idea that our actions resonate far beyond the immediate, and that, even if humans perceive time as linear and finite, they participate in an eternity coexisting with the temporal.

If we compare this concept with Aristotle’s thought, an interesting divergence emerges. Aristotle, in his conception of time and ethics, saw time as a measure of change and motion in the physical world, and ethical virtue was oriented toward achieving balance and purpose within this finite temporal framework. For Aristotle, the good life was realized through the development of virtues in practical life and contemplation, aimed at human flourishing (eudaimonia) within human temporality. In contrast, the TIE suggests that our actions must align with a temporal purpose and reflect an eternity present in each moment, adding an infinite dimension to every decision. While Aristotle viewed virtue in terms of temporal balance, the TIE introduces an ethical notion that invites thinking of each action as part of an infinite flow, challenging the perception that ethical life is confined solely to finite, measurable time.

This introduces the notion of incremental ethics, where even the smallest and seemingly insignificant actions acquire significant moral weight, as they form part of a continuous process of creation and transformation. Rather than dismissing everyday acts, this ethics encourages considering how each gesture, word, and decision contributes to building a world richer in meaning, promoting a sense of responsibility that encompasses not only our own lives but also the impact on future generations. It invites reflection on how we cultivate our existence in time, emphasizing the importance of living consciously and deliberately, understanding that every moment is an opportunity to contribute to the fabric of eternity we create.

In this framework, our actions gain profound significance: even the smallest acts carry an ethical echo, tangibly contributing to the way we face and shape infinitesimal eternity. This conception could foster an ethics of attentiveness, where every minor action is valued for its potential to influence the fabric of our existence and the collective experience of time. Rather than seeing our choices as mere trivialities, this ethics promotes a conscious appreciation of how each gesture, however small, forms part of a broader and more complex moral structure. We are thus invited to consider the way we live day by day, cultivating sensitivity to the impacts our decisions may have—not only on our own lives but on the environment and the lives of others. This attentiveness, far from being a burden, becomes a source of ethical empowerment, where each act is a meaningful contribution to the ongoing process of creation and meaning, underscoring that eternity, though infinitesimal, is enriched with every moment lived with intention and awareness.

4. DEATH AND THE ETHICS OF LIMIT

In the Theory of Infinitesimal Eternity, death does not represent an absolute end, but a continuous process in which time gradually dissolves without ever reaching the void of non-time, radically transforming our ethical conception of life and death. Rather than conceiving death as a definitive rupture to be feared or avoided, the TIE invites us to see it as a phase in which the self continues to approach an unattainable eternity, implying a continuity between life and death. This perspective aligns with certain philosophical currents, such as Stoic thought, where death is a natural part of the life cycle and therefore should be accepted with serenity and without anguish. For the Stoics, living in harmony with nature includes accepting death as an inevitable part of the cosmic order—an attitude mirrored in the TIE, where death is simply a transformation of time in its infinitesimal dimension, rather than a tragic interruption.

However, unlike the Stoics, who promote indifference toward death through emotional detachment, the TIE maintains a more active ethics, where every moment lived prior to death is an opportunity to create time and, in that sense, approach eternity asymptotically. This view can also be compared with Martin Heidegger’s phenomenological approach of being-toward-death, where authenticity arises when the individual accepts their finitude and lives fully in relation to their mortality. But while Heidegger sees death as an inevitable horizon that gives life meaning, in the TIE, death is an infinitesimal limit that is never fully crossed, suggesting a different form of existential ethics, where the ethical resides not in the acceptance of a final end but in recognizing the value of each moment as a triumph over non-being.

The TIE also resonates with Friedrich Nietzsche’s vitalist ethics, which rejects transcendence in favor of a radical affirmation of life in its entirety, including suffering and death. Like Nietzsche, who advocates for the eternal return—where every moment of life should be lived as if it recurred infinitely—the TIE suggests that eternity is present in each moment lived fully, with the crucial difference that here eternity does not repeat but is experienced as an infinitesimal accumulation. From this perspective, the act of living becomes a supreme ethical act, as each decision and action is inscribed in an eternity that, although never fully attained, is present in fragments within daily experience.

The TIE also opens an ethical reflection on the idea of temporal responsibility: if each moment contains a fraction of the eternal, our actions carry greater moral weight, as they contribute to the creation of time not only for ourselves but also for others. Here, a dialogue can be established with Emmanuel Lévinas, for whom ethics is grounded in the relationship with the other and the infinite responsibility toward them. In the TIE, this ethical responsibility extends to time itself, suggesting that our decisions and actions shape not only our own temporal experience but the fabric of shared time.

Moreover, this ethical perspective contrasts with classical utilitarianism, which measures the value of actions based on their overall consequences. The TIE, in contrast, holds that each moment has intrinsic value, regardless of its contribution to a total sum of happiness or well-being; each fragment of life is valuable in itself because it contains a spark of eternity. This introduces an ethics that values not only final outcomes but also the quality of the present lived.

Thus, the TIE offers an existential ethics centered on the continuous creation of time and the finite transcendence of being, challenging traditional conceptions that separate life from death, time from eternity, and human experience from the infinite, proposing instead an integrated vision in which living, dying, and becoming are inseparable and constitute the very core of ethical responsibility.

From this perspective, the ethics of life involves accepting death not as defeat, but as a natural phase in the continuous process of creating time. This approach can promote an ethics of serenity toward death, in which life is lived with conscious acceptance of finitude, but without the despair often accompanying the notion of an absolute end. In this regard, Judith Butler, with her focus on the precarity of life and interdependence, also invites reflection on how death intertwines with our ethical experiences. Butler argues that recognizing human vulnerability can lead to an ethics of shared responsibility, where life and death are seen as interconnected aspects of existence. This aligns with the TIE, which suggests that every moment of life and every instant of death are part of a collective process linking us to others. Both the TIE and Butler’s thought offer a way of confronting death not with resignation but with a deep connection to time and life, fostering an ethics that seeks to value every moment, acknowledge fragility, and celebrate the continuity of existence in its complexity.

This approach also inspires an ethics of legacy, where what matters is not the duration of life itself, but the quality and actions carried out within it, conscious that finite time still has an infinitesimal echo. This invites reflection on moral responsibility toward future generations, as what we do in the present shapes not only our time but that of others. Contemporary philosopher Martha Nussbaum, with her focus on human capabilities, also emphasizes the importance of ethical actions and decisions in the context of life and death. Nussbaum argues that ethics should focus on developing the capacities that allow individuals to flourish, which includes reflecting on how our decisions impact others and future generations. Her emphasis on quality of life and the pursuit of common well-being converges with the TIE’s idea, suggesting that life is not merely an individual process but a network of experiences affecting the community. Like Nussbaum, the TIE urges acting responsibly, recognizing that each moment and action carries significant moral weight and can contribute to a legacy that transcends individual existence. This interconnection between present and future reinforces the idea that, although death is inevitable, the traces of our lives can endure infinitesimally, positively impacting those who come after us.

5. THE ETHICAL SIGNIFICANCE OF INFINITESIMAL ETERNITY

The Theory of Infinitesimal Eternity transforms the traditional conception of eternity, moving it away from the idea of an immutable, static reality that transcends time, and presenting it instead as a continuous, dynamic, and ever-becoming process—horizon-like, approaching without ever being fully reached. This approach introduces a fluid notion of eternity, in which each moment contains an infinitesimal fraction of the eternal, yet is never completely exhausted. The TIE proposes a radical ethical reconsideration: if eternity is not an absolute or unreachable end, but a constant presence within temporal reality, our actions and decisions cannot be grounded merely in the pursuit of a transcendent goal or the expectation of future redemption. Instead, moral life must focus on how we engage with the eternal here and now, in every moment. This implies an ethics of the present, where each instant and each choice acquires singular value precisely because they are finite manifestations of the infinite. Eternity, being not a distant objective but a dimension always present, redefines our moral and existential responsibility. Ethical life, then, becomes a continuous process of creating and reaffirming value in time, where each action is an opportunity to approach the eternal without claiming to possess it fully. This suggests a non-teleological ethics, where the end is neither predetermined nor attainable, yet each act carries ethical weight due to its connection with the ever-flowing eternal reality.

The vision recalls Aristotle’s notion of virtue ethics, in which happiness (eudaimonía) is not a static end achieved once and for all, but an activity in constant development throughout life. For Aristotle, the highest good is attained not by reaching a definitive state, but through the continuous exercise of virtues over time. The TIE reinterprets this idea temporally: virtuous life is not only a continuous process of moral refinement but also a way of engaging with eternity. Just as Aristotle saw the good life in acts oriented toward human flourishing, the TIE suggests that each moment in life is a manifestation of the eternal—a step in a becoming that is never completed. This adds a layer of depth to Aristotelian ethics, suggesting that we do not merely act morally in time, but, through our actions, participate in an ongoing relationship with eternity.

Regarding contemporary philosophy, the TIE finds intriguing parallels with thinkers such as Giorgio Agamben and Alain Badiou, who have critically explored the relationship between time, eternity, and politics. Agamben, in ‘The Time That Remains’, revisits the notion of messianic time—a time that is neither linear nor cumulative, but always “in suspension,” transforming each moment into an opportunity for change and redemption. In the TIE, this idea is expanded to suggest that each moment contains within it the possibility of the eternal, an infinite potential that is never fully exhausted, implying that the present can always open toward the new. For Badiou, truth is an event that interrupts the continuity of being. Similar to what the TIE proposes regarding eternity and time, Badiou sees truth as an endless process, an event that is never completed or definitively consummated. In this regard, the TIE could be understood as an ontological framework where each moment of life has the potential to become an “event” in the Badiouian sense—a point of rupture connecting the finite with the infinite. Both contemporary philosophers question the notions of linear and absolute time, approaching the idea that the eternal is not a separate entity but interwoven into the very structure of the present, in accordance with the TIE’s propositions.

Returning to classical philosophy, the conception of eternity as a process in the TIE can also be linked to Plato’s idea of the “world of Ideas.” In his philosophy, Plato considered the sensible world an imperfect copy of the ideal world, in which eternal and perfect forms exist beyond time. From the perspective of the TIE, however, this duality between the sensible and the ideal is softened: eternity is not a separate, immutable reality, but is present, albeit infinitesimally, within time itself. Whereas Plato understood eternity as something transcending the temporal and attainable only through pure reason, the TIE suggests it is a dimension inherent in each temporal moment, accessible through intellect and lived experience. Although the TIE appears rooted in a Platonic tradition reflecting on the relationship between the temporal and the eternal, it profoundly transforms it by proposing that eternity is not an end in itself, but a continuous process unfolding within human temporal experience.

An ethics of the eternal present emerges here, in which each moment contains a portion of the eternal, and therefore each action carries deep significance. This ethics can foster a moral awareness of the present, in which decisions and actions taken at each moment are seen not merely as part of finite time, but as elements of an infinitesimally present eternity. In this context, the ethics of the eternal present invites reflection on how our choices affect not only our own time but also that of those around us and future generations. Emmanuel Lévinas, with his emphasis on the ethics of responsibility toward the other, offers a framework aligned with this vision; his philosophy suggests that every human encounter is charged with ethical meanings that must be recognized and honored. Thus, by integrating the idea of eternity into each moment, the ethics of the eternal present urges us to act with full awareness of the interconnectedness of our lives, promoting active commitment to the well-being of others and to the creation of a legacy reflecting a profound understanding of our temporality. This not only transforms our relationship with time but also redefines our moral responsibility, emphasizing that each action, no matter how small, contributes to the creation of a broader sense of community and continuity within the flow of time.

6. THE ETHICS OF SHARED TIME: SOCIAL AND COMMUNITY IMPLICATIONS

The Theory of Infinitesimal Eternity unfolds a new ethical vision that transcends individualism, placing the collective at the center of the process of time creation. According to the TIE, each life not only invents its own time but also contributes to the creation of a shared temporal space in which multiple infinitesimal eternities interact. This introduces a notion of collective responsibility, in which our actions affect not only the course of time in our own lives but also the temporal and existential structure of those with whom we share the world. The ethics of the TIE suggest that we must recognize the interdependence of our individual temporalities and how each act, each decision, contributes to the formation of a common temporal fabric that collectively sustains a portion of eternity. This approach emphasizes the importance of temporal solidarity—that is, an ethics in which time is not merely a personal resource, but a shared good constructed collectively. Our interactions with others are not limited to the immediate effects of our actions, but contribute to the creation and perpetuation of a temporal reality encompassing all humanity. Thus, each life is embedded within a broader network of intertwined temporalities, where the creation of time is a dynamic and collective process involving all people and, ultimately, the entirety of humanity as a species.

Examining this approach in relation to Jacques Derrida’s philosophy reveals a parallel in his deconstruction of temporality and meaning. Derrida, in his theory of ‘différance’, argues that meaning is never fully present, but always deferred, displaced by a play of differences that is never exhausted. This concept relates to the TIE, where time is never fixed or fully finite, but in constant processes of creation and recreation, reflecting an infinitesimal fraction of eternity. In TIE ethics, time is something continuously shaped through interaction with others, similar to how meaning is generated and displaced in Derrida’s work. Human relationships, then, are not merely moments of encounter, but acts of temporal creation, where each individual, by interacting with others, participates in perpetuating a structure of time that is never complete. This temporal interrelation between lives resembles the continuous deferral of meaning in Derrida, where a closed definition is never reached, leaving always room for becoming. In both theories, both time and meaning are in constant transformation, and our actions and words contribute to their unfolding without ever reaching a definitive endpoint.

In contrast, connecting this approach with Aristotle’s philosophy reveals a significant difference in the conception of temporality and ethics. For Aristotle, time is a measure of movement—a linear sequence of before and after—and not something humans invent or co-create, but rather an objective dimension of the cosmos. His ethics, centered on eudaimonía (human flourishing), is grounded in the development of virtues through rational action, and in how those actions guide us toward our ultimate purpose or telos. Aristotle conceives temporality teleologically: actions have a clear goal directed toward the realization of human good. The TIE, on the other hand, emphasizes that time is invented in each moment by life itself, and that eternity is never fully attained, implying that there is no final telos in the Aristotelian sense. Whereas Aristotle sees time as an objective framework within which ethical actions unfold toward a final end, the TIE proposes an ethics rooted in a dynamic and collective process of creation without a predetermined destination. Despite these differences, both approaches underscore the importance of ethical action from distinct perspectives: Aristotle focuses on virtue and purpose within linear, finite time, while the TIE suggests an ethics of creation and resistance before the eternal, where time is fluid and incomplete.

Within the framework of the TIE, time is not merely a physical dimension or a chronological succession, but a finite resource that humans collectively create and manage ethically. The creation of time through life—which, according to the TIE, constitutes active resistance against eternity—becomes a moral act affecting not only the individual but the entire community. This vision introduces an ethics of cooperation, in which the time we live is not solely ours, but a shared good constructed through our interactions with others. If we conceive of time as created by life, the value of our actions lies not only in how we manage our own time, but also in how we contribute to the creation and sustainability of time for others. This has profound implications for contemporary issues such as mutual care, social justice, and environmental sustainability, all of which depend on collective management of time and resources. In mutual care, for example, we dedicate time to others, actively participating in the creation of a shared temporal space that allows other lives to continue. Similarly, social justice requires equitable distribution of time and resources, ensuring that all individuals can participate in the creation of time, preventing some lives from being deprived of it. From the perspective of sustainability, the finite time we share extends to future generations, highlighting the need for an ethic of intergenerational responsibility that ensures present decisions do not limit the possibilities of creating time in the future.

This notion finds particular resonance in the philosophy of Gilles Deleuze, who also views time not as fixed or determined, but as a continuous process of becoming. For Deleuze, time is not a series of discrete moments, but a multiplicity—a flow of differences and repetitions in which each instant is unique and never identical to the previous one. His notion of crystalline time, where past, present, and future are intertwined, offers a rich analogy with the TIE, in which each moment of life contains a fraction of eternity that never repeats in the same way. Within this framework, the ethics of the TIE—which implies the collective creation of time—aligns with Deleuze’s thought on becoming and difference: time is not something merely “spent,” but something generated creatively and differentially. Each ethical act, therefore, should be seen as a contribution to this collective temporal flow, where each action is inscribed within a network of connections and differences affecting not only the present but also a future in constant becoming. For Deleuze, as in the TIE, time is not a closed structure, but an open space where ethics entails the continuous creation of new possibilities, resistance to determinism, and openness to the unpredictable.

In contrast, Hannah Arendt’s philosophy offers a complementary but distinct approach to the relationship between time and action. Arendt, in her analysis of natality and political action, emphasizes that each new birth introduces a new possibility for action in the world—a new capacity to begin something unexpected. For Arendt, political action is the ability to interrupt the continuity of historical time and open new avenues of meaning and future. In relation to the TIE, one could say that each ethical action not only constructs time in the present, but also introduces new possibilities within a shared temporal space, altering the trajectory of time. Where Deleuze emphasizes continuous and differential becoming, Arendt highlights the human capacity to initiate something new, interrupting history and opening new temporal and ethical horizons. Both philosophies, though differing in focus, converge on the importance of action and creativity in shaping time, something the TIE insists upon: each life and each decision affects temporality and contributes to the creation of an infinitesimal eternity we share with others.

Thus, the TIE, like Deleuze and Arendt, proposes a dynamic and participatory vision of time, where ethical action is not merely a matter of individual conduct, but an active contribution to the creation and transformation of shared time and the shared world. The TIE emphasizes that within this interplay of time, eternity, and action, a moral responsibility emerges that affects both the present and future generations, suggesting an ethics of time that recognizes its finite yet infinitely valuable nature.

7. THE ETHICS OF CARE: TIME AND VULNERABILITY

The Theory of Infinitesimal Eternity offers a vision of existence deeply tied to the notion of vulnerability and fragility. In TIE, life is not merely a succession of chronological instants, but a continuous process of resistance against dissolution into eternity. Each moment of life is perceived as a small victory over non-time, where the self creates and sustains its own temporality through a constant effort to avoid being nullified by the eternal. This approach introduces an ethical dimension of profound significance: if every lived moment is an act of resistance against non-being, then the protection and care of life acquire an incalculable moral value. In this sense, human life, in all its fragility and vulnerability, needs to be protected not only because it is life, but because each moment in which life is sustained is an act of temporal creation that challenges the inertia of the eternal. Life, by maintaining time, becomes something that must be attended to, cared for, and nurtured—suggesting an ethics of care in the broadest sense: a responsibility not only to preserve existence but to ensure that each lived moment is full, dignified, and meaningful. TIE, therefore, positions human vulnerability not as a weakness, but as the starting point for ethics—an obligation to protect the finite in the face of the infinite.

This conception of vulnerability and care finds resonance in the work of various feminist philosophers who have developed ethical frameworks centered precisely on the fragility of life and the interdependence between human beings. For instance, Judith Butler, in ‘Bodies That Matter’ and ‘Frames of War’, addresses vulnerability as a shared human condition, suggesting that our lives are intrinsically linked to one another and that it is precisely this interdependence that should ground an ethics of care and mutual responsibility. Butler argues that recognizing the vulnerability of marginalized bodies and lives should lead us to reconfigure our notions of justice and rights, promoting a politics of recognition and care that protects life in its fragility. From the perspective of TIE, Butler’s vision of care and vulnerability is reinforced, since if each life is a process of creating time in the face of non-time, then the ethical obligation to protect and care for that life becomes a matter of maintaining the delicate balance between the finite and the eternal.

Likewise, Carol Gilligan, in her seminal work ‘In a Different Voice’, introduces an ethics of care that contrasts with traditional ethical models based on justice and rights, emphasizing that human relationships—especially those characterized by care and mutual attention—are fundamental to understanding how we should live ethically. Gilligan asserts that emotional connections and responsibilities of care are essential to morality, particularly in situations of vulnerability or dependency. Just as TIE suggests that each moment of life is resistance against eternity, Gilligan emphasizes that ongoing care and relationships allow lives to flourish and persist through time. Thus, the act of caring for others—of protecting life in its fragility—aligns with TIE’s view that the human being, by living and resisting, generates time and therefore deserves to be supported and sustained in that process.

Comparing this approach to the classical vision of Aristotelian ethics reveals both points of connection and significant differences. For Aristotle, in his Nicomachean Ethics, human flourishing or eudaimonia depends on the exercise of virtue in everyday life, which involves acting according to reason and developing character through the practice of justice, prudence, courage, and other virtues. Although Aristotle does not directly address the fragility of life in the way TIE or feminist philosophers do, his emphasis on a full life and the pursuit of the good life through ethical action connects with the idea that each moment of life should be meaningful and protected. However, whereas Aristotle places emphasis on individual self-perfection and the pursuit of virtue, TIE and feminist philosophers like Butler and Gilligan locate ethics within the context of human relationships and interdependence, emphasizing that the act of living and resisting cannot be separated from shared responsibilities and mutual care. Thus, TIE—like feminist ethics of care—proposes a more relational vision of human existence, where life’s fragility is not an obstacle, but a source of profound ethical obligations.

In the Theory of Infinitesimal Eternity, the approach that situates each moment of life as a continuous creation of time in the face of eternity suggests an ethical vision deeply rooted in human interdependence and shared vulnerability. The idea that each moment of existence is seen as a triumph over the void—as a victory against the inertia of eternity that threatens to dissolve time—raises a central moral obligation: to care for life in its fragility and finitude. This perspective invites an ethics of care for the other, where the preservation of time is not merely an individual matter, but a collective effort. Life is not simply something we possess or experience in isolation; rather, TIE suggests that we live in a constant process of mutual creation of time with others, and that our interpersonal relationships participate in this ontological act of resistance against eternity. In this regard, care becomes an ethical obligation that emerges from understanding the universal vulnerability of life and recognizing that the creation of time is not a solitary endeavor, but a shared act. As each moment is valued for its contribution to resisting non-time, the ethics of care promoted by TIE is grounded in solidarity—in the mutual responsibility of sustaining each other’s temporality—and in the understanding that the time of one life is also the time we collectively create.

This idea of an ethics of care converges with perspectives developed by feminist philosophers who have extensively explored vulnerability, interdependence, and the significance of care as an ethical foundation. Particularly, returning to Judith Butler, in Precarious Life, she explores how human life is defined by its precarity and by constant exposure to violence, death, and abandonment. For Butler, the vulnerability shared among human beings creates the need to recognize that fragility and to build ethical frameworks based on the protection and care of bodies and lives that, by their very nature, are exposed to suffering. This approach aligns with TIE in that both theories view human vulnerability and fragility as sources of ethical obligation. Butler emphasizes that in a world where precarity is a constant reality, the ethics of care is indispensable for sustaining life in its political and social dimensions. Just as TIE posits that each moment of life must be valued for its resistance to non-time, Butler holds that human life must be protected and cared for in its precariousness, creating a moral framework in which solidarity and care are fundamental principles.

Joan Tronto, in her work on the ethics of care, also offers a perspective that aligns with the ethical vision proposed by TIE. Tronto argues that care is a central activity in human life—not only in terms of physical dependence, but also as a social practice that sustains the well-being of individuals and communities. For Tronto, care involves an active responsibility toward others and toward the world we share, and should be a guiding principle in social and political ethics. In this aspect, her thinking resonates with TIE, as both theories recognize that life and time are not entities we manage individually, but are sustained through interaction with others. Tronto emphasizes that in an interdependent world, care becomes an act of resistance against indifference and neglect, and a way of ensuring that life continues to flourish. TIE, with its focus on the creation of time as resistance against eternity, reinforces this notion: caring for others is a way of ensuring that time continues to expand, that life does not dissolve into passivity or neglect.

PART 6

SCIENCE AND TIE

From a scientific perspective, the Theory of Infinitesimal Eternity (TIE) enters a realm that shares several points of contact with theories and concepts from the physical sciences, such as cosmology, quantum physics, and mathematics. Although philosophical in nature, TIE draws on concepts that also belong to the scientific domain—particularly in how time, infinity, and eternity are understood. For example, in cosmology, the Big Bang theory posits an initial point of time from which the universe has been in constant expansion. This gives rise to questions about the origin and ultimate fate of time and space—questions that TIE addresses from an ontological perspective by suggesting that time never fully disappears but is instead fragmented into infinitesimal instants that contain flashes of eternity.

This philosophical approach finds parallels in quantum physics, especially at the subatomic level, where time and space are not fixed entities but fluctuate and remain uncertain at infinitesimal scales. In this context, TIE can be interpreted as a reflection on the behavior of time at infinitely small scales, proposing that even in proximity to “non-time” or eternity, a trace of duration always persists. In mathematical terms, this idea resonates with the concept of limits and infinitesimal calculus, where functions can indefinitely approach a value without ever fully reaching it. In both cases, TIE suggests that eternity and time are not radically opposed entities but interpenetrate and mirror each other in the universe’s most minute phenomena—a vision that blurs the boundaries between philosophy and science by exploring the limits of the infinitesimal and the eternal.

Karen Barad proposes the concept of “agential realism.” Barad argues that reality is not composed of discrete objects with fixed properties, but that it emerges from ongoing interactions between phenomena, where time and space are relational rather than fixed. In her work ‘Meeting the Universe Halfway’, Barad suggests that measurements in quantum physics do not reveal a preexisting time or space; rather, the act of measurement itself co-creates the conditions of what is being measured. Similarly to TIE, Barad introduces the idea that entities are neither absolutely finite nor eternal, but emerge and transform within a constant process of becoming. Both approaches challenge the rigid separation between the finite and the eternal, opening up a space in which infinitesimal interactions reveal a deeper ontological dimension—one that cannot be reduced to simple categories of finitude or eternity. Like TIE, Barad views time and space as manifestations of relational processes, suggesting that what we perceive as real is always partial and in flux—never finished, never fully defined.

Anaximander, one of the earliest Presocratic philosophers, spoke of the ‘ápeiron’—a concept translated as “the indefinite” or “the infinite.” For Anaximander, the universe did not arise from a finite or defined substance, but from this infinite principle that is never fully attained yet is present in all things. The ‘ápeiron’ is what underlies all existence—something without beginning or end, from which all things emerge and to which they return. This thinking aligns with TIE in the sense that life and time cannot be reduced to a fixed point or to a closed definition of the finite or the eternal; rather, both exist in tension toward the infinite, without ever fully capturing or exhausting it. Just as Anaximander saw reality as a cycle of transformation between the finite and the indefinite, TIE suggests that being is in a constant process of becoming—tending toward the infinite without ever fully reaching it. The comparison between Anaximander and TIE shows how ancient philosophical notions of the infinite and the undefined find echoes in contemporary explorations of time and eternity within the framework of TIE, thus integrating philosophical perspectives that span across millennia.

1. THE NATURE OF TIME: PHYSICS AND COSMOLOGY

Time, from a cosmological and physical perspective, has long been a mystery that has challenged both scientists and philosophers throughout history. In classical physics, following Newton, time was conceived as an independent and absolute entity—a kind of uniform flow that existed on its own, unaffected by any human or cosmic intervention. However, the Einsteinian revolution of the early 20th century radically altered this conception. With the theory of special relativity, Einstein demonstrated that time was not an independent thread, but was instead intertwined with space, forming what he called the space-time continuum. Moreover, within this framework, time became malleable, changing its pace depending on the speed of the observer and the intensity of the gravitational field.

This conception led to the idea that time is relative—what may seem like a few seconds to one observer might be hours or years for another in a different situation. In general relativity, Einstein expanded this notion, showing that gravity affects the curvature of space-time, which in turn influences how time is perceived and unfolds. As cosmological theories advanced—particularly with the discovery of the accelerated expansion of the universe—questions about the nature and origin of time gained even more significance. If the universe began with a Big Bang, what can be said about time before that event? Modern cosmology grapples with the paradox of whether time is finite or infinite, whether it had a beginning, or whether it is part of an eternal cycle of expansion and contraction.

Here, the Theory of Infinitesimal Eternity introduces a philosophical perspective that challenges both linear and cyclical views of time. While physics allows for time to dilate or contract depending on gravity or velocity, TIE suggests that time is created and recreated in every instant of life, approaching infinitesimally an eternity that is never fully reached. This conception resonates with aspects of quantum mechanics, where the continuity of time and space dissolves at the microscopic scale, being replaced by a reality in which events are discrete and probabilistic. Rather than a continuous and homogeneous flow, quantum physics introduces the notion of jumps and discontinuities—concepts that echo the infinitesimal moments of TIE, where time is not an unbroken stream but emerges through instants that come ever closer to, yet never reach, eternity.

This vision also suggests an interesting relationship with multiverse theories and the possibility of additional dimensions existing outside our known space-time. If, as some interpretations of string theory suggest, our universe is but one among many, each with different physical laws, then time may have entirely different properties in each. Here, TIE could offer a philosophical lens that expands scientific understandings of time in the multiverse, proposing that eternity is not an absolute state within any of these universes, but rather an infinitesimal process unfolding in all of them simultaneously.

Similarly, discussions surrounding the “arrow of time”—one of the major questions in modern physics, which asks why time appears to move in a single direction from past to future—could be reinterpreted in light of TIE. The arrow of time is closely linked to the second law of thermodynamics and entropy, which states that systems tend toward disorder. But if life creates time, as TIE suggests, then the arrow of time is not merely a physical matter, but an ethical one: each moment of life becomes an act of resistance against entropic chaos and the eternal void.

Thus, TIE offers a vision in which temporality is not only subject to physical laws but is also an existential phenomenon—a constant creation that brings the being infinitesimally close to eternity, without ever fully reaching it. This allows us to reconceptualize time not only as a physical dimension but as a phenomenon with deep ontological and moral significance, in which human experience and the creation of time are intrinsically connected.

The idea of the arrow of time has been a crucial concept in modern physics, referring to the apparent one-way direction of time—that is, its tendency to move from the past toward the future. This concept is tightly linked to the second law of thermodynamics, which states that entropy—or disorder—of an isolated system always increases over time. Simply put, the universe tends toward chaos, and natural processes—like the decay of an object or the cooling of a hot body—are irreversible. This irreversibility defines what we commonly refer to as the «progression of time,» which in the physical universe seems to move in a single direction: toward the future. The arrow of time thus implies an entropic finalism, in which everything in the universe trends toward greater disorder and eventual thermal death.

From the perspective of the Theory of Infinitesimal Eternity, this purely physical approach to time as a unidirectional progression toward disorder is partially recontextualized. TIE posits that although human life and time are inevitably subjected to physical laws, there exists an ethical and existential dimension of time that acts in resistance to this unavoidable expansion of entropy. Each instant of life, according to TIE, represents a small victory against entropy and chaos; each moment is an act of active time-creation, which defies the natural trend toward disorder. In this interpretation, the arrow of time is not merely a path toward the inevitable end of life and the universe, but for living beings, it contains an element of existential resistance: by living, making decisions, and acting, we create order in the midst of chaos—constructing temporality in defiance of the eternal void.

While physics sees the arrow of time as an objective and deterministic phenomenon, TIE introduces a subjective and active view. If time, in the existential sense, is something continuously invented through each act of living, then the arrow of time acquires a human and moral dimension. We move toward the future not only because the laws of physics dictate it, but because our actions produce time. Thus, the arrow of time in TIE can be understood not only as a movement toward universal entropy, but also as the ongoing creation of meaning and temporal realities by living beings. In this view, the arrow of time becomes a trajectory in which life generates its own temporality—resisting dissolution into chaos and affirming its own existence in the face of nothingness.

This implies a fascinating paradox: while physics describes time as a resource that runs out and leads to greater disorder, TIE suggests that life—however small and finite—can resist that dissolution. Eternity is not the final destination once the arrow of time has fulfilled its course toward absolute disorder, but a process that is infinitesimally present in every moment of life. In every second we live, in every decision we make, we approach eternity infinitesimally—never fully reaching it. The arrow of time does not only point toward the entropic future of the universe, but also toward a form of eternity present in the here and now.

TIE thus proposes a re-signification of time and its arrow: temporal progression is not merely a physical issue, but also an ethical and existential struggle against the void. Time is not something that simply flows toward chaos, but something created and resisted with every conscious choice and every lived experience. From this perspective, the arrow of time acquires a dual meaning: on one hand, it is subject to the physical laws of entropy and irreversibility; on the other, it manifests the constant effort of life to give meaning to that flow—transforming the ephemeral into something eternal.

TIE reinterprets the arrow of time as more than just a direction toward entropic disorder. It proposes that, on an existential level, the human being can shape temporality, confronting that inevitable direction with acts of continuous creation. Even though we cannot stop the physical arrow of time, our lives and actions impart new meaning to it, allowing us to experience—however infinitesimally—an eternity that resides in each lived moment. Thus, the arrow of time in TIE not only points toward the inevitable future of disorder and death, but also toward an eternal present in which each moment of life holds absolute value in itself.

The Theory of Infinitesimal Eternity proposes that eternity may be conceived as a mathematical limit that tends toward zero infinitely—an idea that could relate to scientific concepts such as time dilation and the curvature of time near black holes, where temporal boundaries appear to distort. According to general relativity, as an object approaches an event horizon, time for that object appears to slow down from the perspective of an external observer—suggesting that time, under extreme conditions, can behave in unexpected ways and is intimately tied to the notion of the “infinite.”

However, the idea of infinitesimal eternit in TIE—where time is experienced as a series of finite victories against eternity—presents a distinct conception from the usual scientific models. Instead of viewing time as a mere coordinate, TIE suggests that each instant possesses eternal value, and that time is not extinguished with death but persists infinitesimally. This vision may converge with ideas in modern cosmology about an infinite universe, but also introduces challenges in terms of how science defines and measures time.

2. INFINITY AND THE MATHEMATICAL LIMIT

The Theory of Infinitesimal Eternity makes use of the concept of the infinitesimal, which has deep roots in both philosophy and mathematics. In mathematics, infinities and infinitesimals are precisely addressed through differential and integral calculus, where the concept of a limit approaching zero allows for the study of how functions behave as they near a value they never fully reach. Similarly, TIE holds that time and eternity are connected through an asymptotic relationship, in which life continuously approaches the eternal without ever fully absorbing it. Within this framework, life itself becomes a process that infinitely tends toward eternity, without ever completing itself within it. Just as in mathematical calculus, where a function can approach a limit without ever touching it, finite time moves continuously toward eternity—without being consumed or collapsing into it.

This convergence of philosophy and mathematics creates a rich conceptual analogy: the time of life is a function that always moves toward its eternal ‘limit’ without ever truly reaching it, reflecting the infinite tension between the finite and the eternal within the human experience.

When compared to classical philosophy, the idea that finite being continuously approaches the infinite without ever fully attaining it echoes the work of Plotinus and his notion of ‘The One’. For Plotinus, The One is the source of all existence, but it lies beyond any finite definition or comprehension. The human soul, in its desire to unite with The One, is always drawn toward it, but never fully reaches it in its finite state. This vision of an ultimate, unreachable reality coincides with TIE, where life is understood as a continuous movement toward the eternal—a limit that is never touched. Just as Plotinus viewed the contemplation of The One as an endless process of approximation without total fusion, TIE proposes that finite life is in constant relation with eternity, though never fully dissolving into it. From this perspective, eternity is not a final state or a reward granted at life’s end, but rather a process of becoming that manifests in each instant of existence.

Alain Badiou and Quentin Meillassoux also explore the relationship between the finite and the infinite from post-metaphysical perspectives. Badiou, for example, in his work ‘Being and Event’, argues that the infinite is not merely a distant horizon but is actively involved in the unfolding of life through events. Events, in his philosophy, are disruptive moments that break with the finite continuity of being, allowing the infinite to erupt into the order of the real. This idea conceptually aligns with TIE, where each instant of time contains an infinitesimal fraction of the eternal, thereby creating a link between the temporal and the infinite that is not reducible to mere chronological succession. Every moment of life has the potential to be an event in which the finite relates to the eternal without collapsing into it.

Meillassoux, for his part, questions classical notions of the eternal and the finite through his critique of correlationism, advocating for a world where the absolute and the contingent coexist. In his work ‘After Finitude’, Meillassoux argues that reality is not necessarily bound to a fixed temporal framework, and that the infinite can erupt unpredictably into finitude. This, too, resonates with TIE, where finite time is always in relation to eternity—not as a fixed, absolute concept, but as something dynamic that is infinitesimally present in every moment.

Returning to classical thinkers, Leibniz offers a perspective that also aligns with TIE. In his theory of monads, Leibniz posits that each monad reflects the entire universe, but in an infinitesimal way—functioning as a microcosm that contains the whole of reality. In Leibniz’s view, as in TIE, there is a relation between the finite and the infinite, where each moment contains an infinitesimal fragment of eternity. Just as monads are windows into the infinite, though never fully encompassing it, human life in TIE is a reflection of the eternal—a point of contact between the temporal and the absolute, without either dissolving into the other. In both cases, the relationship between the finite and the infinite is not one of opposition, but of interrelation and approximation, where the finite contains and reflects something of the infinite, though only partially and incompletely.

The challenge arises when we attempt to apply this mathematical notion to the philosophical concept of time. Modern physics does not describe time in terms of infinitesimals tending toward zero in a philosophical sense, but rather treats it as either a continuous or quantum dimension, depending on the theoretical framework (general relativity or quantum theory). While the mathematics of infinity is indeed useful in many scientific models, it is unclear how an “infinitesimal limit” tending to zero can reflect a concrete physical reality.

TIE proposes that eternity is a dynamic process, not a static state, which presents an interesting analogy with the use of infinities in mathematical equations. It may also have parallels with certain aspects of asymptotic analysis or string theory, where the notion of infinitesimals becomes relevant. In this way, TIE offers a philosophical interpretation that complements the abstract structures of mathematics and theoretical physics by grounding them in the lived experience of time as an ongoing approximation to the eternal.

3. QUANTUM PHYSICS AND INFINITESIMAL ETERNITY

Quantum physics introduces concepts that converge with the ideas proposed by the Theory of Infinitesimal Eternity, particularly in how both approaches address the nature of time and reality. At the quantum level, reality behaves in ways that defy classical notions of causality and temporal linearity. For example, the phenomenon of quantum superposition—in which a particle can exist in multiple states simultaneously until observed—suggests that time, at this scale, does not flow continuously or unidirectionally, but may instead manifest in discrete or fragmented ways.

This has direct implications for TIE, which posits that eternity is not a separate, static state but something that is infinitesimally approached in every moment. Just as quantum physics reveals that particles do not follow clear trajectories until measured, TIE suggests that time, in its relationship with eternity, is a dynamic construction—something constantly invented in the act of living, without our ever being able to define its nature in absolute terms.

Heisenberg’s uncertainty principle, which sets limits on what can be simultaneously known about a particle’s position and momentum, also echoes the epistemological perspective of TIE. Just as quantum physics imposes barriers to our precise knowledge of certain aspects of reality, TIE suggests that our understanding of time and eternity is inherently limited—but that these limits can be engaged through an asymptotic approach: we cannot grasp eternity directly, but we can experience it infinitesimally in each moment.

This parallel between quantum uncertainty and the TIE framework prompts a reconsideration of time not merely as a continuous or mechanical dimension, but as a more flexible, emergent process, as quantum interpretations suggest. In quantum physics, entanglement—where two distant particles can influence each other instantaneously—also introduces a conception of time that challenges classical notions of locality and simultaneity. This phenomenon may offer an analogy to the idea that each moment in TIE is entangled with eternity; although time may appear to flow linearly, there is an invisible, intimate connection between the temporal and the eternal.

This relationship between the quantum and the infinitesimal in TIE also questions the traditional concept of causality, suggesting that time is not merely a sequence of causes and effects, but a complex web of emergent possibilities in every instant. As in quantum mechanics—where particles “choose” their state only upon observation—in TIE, the human being plays an active role in the creation of their own temporality, and each choice, each action, can be seen as a kind of “measurement” that defines temporal reality and its infinitesimal approach to the eternal. In this view, both quantum physics and TIE invite us to rethink time not as something passively experienced, but as something we continuously create.

Moreover, certain approaches within quantum physics, such as quantum gravity and loop quantum theory, propose that time and space are not continuous, but discrete at extremely small scales. This idea aligns with the TIE’s conception that time may have an infinitesimal structure, in which eternity is “present” in each instant. Thus, eternity is not presented as an abstract concept, but as a reality that permeates every moment of our experience. The notion that time can be broken down into minimal units connects with the idea that each moment of life contains within it a fraction of the eternal.

This convergence between TIE and certain recent developments in quantum physics opens a fascinating dialogue between philosophy and science, suggesting that our understanding of time and eternity may be far more complex and subtle than traditional views have allowed. In this way, both TIE and quantum physics challenge the notion of a linear, continuous time, inviting us to reconsider our conception of reality through a structure that is richer, more intricate, and deeply interwoven.

4. DEATH AND THE INFINITESIMAL EXHAUSTION OF TIME

The Theory of Infinitesimal Eternity offers an innovative understanding of death, challenging both classical and traditional scientific conceptions. By proposing that time, at the moment of death, is exhausted infinitesimally but never reaches the absolute limit of non-time, TIE departs from linear and definitive views of death as a total and irrevocable end. In contrast to the conventional scientific perspective, which sees death as the complete cessation of biological functions and the conclusion of life within a finite temporal framework, TIE introduces the idea of a continuous transition toward a form of eternity—not as a static state detached from time, but as a process in which time continues to fragment infinitesimally. This evokes a vision of death as an asymptotic limit, a perpetual approach to non-time that is never fully reached, compelling us to rethink the relationship between the finitude of life and eternity.

From a philosophical standpoint, this vision can be compared to Heidegger’s concept of «being-toward-death», in which the awareness of human finitude is an essential part of existence. For Martin Heidegger, death is not merely a biological event but an ontological reality that defines the human condition. However, where Heidegger emphasizes death as an inevitable horizon that forces us to confront the authenticity of our existence, TIE offers a different angle: rather than seeing death as an absolute limit, it is conceived as a progressive and gradual exhaustion of time. While in Heideggerian thought, death is a final boundary that structures life, in TIE it is a fluid transition, where the experience of time unfolds continuously—even if only at an infinitesimal level.

Similarly, we can trace echoes of the Epicurean conception of death, in which Epicurus famously argued that death should not be feared because “when we are, death is not, and when death is, we are not.” However, TIE takes this idea further by suggesting that even after death, a kind of infinitesimal temporal continuity remains. While Epicurus posits a radical separation between life and death, TIE blurs that boundary, arguing that death is not a final rupture, but rather an asymptotic transition into the eternal.

Likewise, the notion of infinitesimal exhaustion of time in TIE finds parallels in Stoic philosophy, particularly in Marcus Aurelius’s concept of the “present eternity.” For the Stoics, eternity is not something to be awaited in a distant future but is found in the present. Living in the now, fully aware of our mortality, is a way of experiencing eternity in everyday life. However, TIE introduces a different dynamic by proposing that death itself is part of that eternalizing process, occurring infinitesimally without becoming an absolute rupture. While the Stoics regard death as a peaceful dissolution into the flow of the cosmos, TIE suggests that even in death, the self continues to participate in time, in some way, as an infinitesimal trace of what once was.

In the context of modern cosmology, the idea of an eternally expanding universe, as suggested by theories like the Big Rip or the universe’s heat death, offers an intriguing analogy. In these models, time—like space—could be infinitely stretched and diluted, yet never come to a true end. Similarly, TIE views death not as the end of time, but as its infinite stretching and exhaustion, creating a vision in which death intertwines with a form of eternity accessible only through this infinite fragmentation of time.

TIE redefines death as a process in which temporality and eternity interact in ways that do not eliminate the self but allow it to persist infinitesimally, suggesting a form of continuity between life and death. This opens up new ethical and existential horizons, in which death, far from being feared as a definitive severance, can be understood as a step toward a new form of being, where life continues to reverberate in the folds of time that never fully disappear.

TIE proposes a conception of time in which it is never entirely extinguished, and where death is not an absolute cessation, but a transition into an infinitesimal form of eternity. This philosophical approach aligns with certain interpretations in physics, particularly in thermodynamics and the concept of entropy. The second law of thermodynamics, which states that entropy in a closed system tends to increase, suggests that over time, all systems move toward a state of maximum disorder or thermal equilibrium, where no more macroscopic changes or energy transfers occur. This state of thermal death in the universe parallels the idea of death as an infinitesimal exhaustion in TIE: although macroscopic changes cease, the information and internal interactions of the system do not completely vanish. This analogy implies that death, rather than a definitive disappearance, is a process of transformation and reconfiguration, where life continues to exist in residual forms—even at infinitesimal levels.

TIE’s relationship to entropy can be further enriched by comparison with the cosmological theories of Roger Penrose, especially his Conformal Cyclic Cosmology (CCC). Penrose proposes that the universe, instead of having an absolute beginning and end, goes through eternal cycles of expansion and contraction. In each cycle, entropy increases progressively until the universe, in its most expansive and disordered state, resembles the «vacuum» or initial state of a new cycle. This cyclical process can be interpreted as a transformation of time and energy from one state to another, without time itself vanishing. From the perspective of TIE, Penrose’s model resonates with the idea that time does not fully exhaust with death or the end of a cosmic cycle, but is transformed into a new infinitesimal manifestation of the eternal. The “death” of a cosmological cycle, then, would be a transition toward a new beginning, where particles and energy are reorganized to initiate a new cycle—much like TIE views death as a passage into an infinitesimal form of eternity.

The notion that information is never truly lost, even in systems that appear to have reached their end, is also present in quantum physics and in black hole theory, another field central to Penrose’s work. The black hole information paradox, and the debate over whether information is destroyed inside black holes, finds interesting parallels with TIE. In this context, the idea that information, even when subject to entropic “death,” continues to exist in some form, even if infinitesimal or inaccessible, complements TIE’s view of life and time as processes that are never entirely depleted. According to Penrose, black holes might be entities where information dissipates infinitesimally, and although it seems to vanish, it persists in forms we do not yet fully understand. This perspective reinforces the idea that death, in TIE, is a gradual exhaustion rather than a definitive erasure.

Furthermore, the structure of space-time in Penrose’s cosmology, with its concept of conformity between cosmic cycles, suggests that time is far more flexible than we typically assume. While classical physics treats time as linear and absolute, Penrose shows that on cosmic and quantum scales, time can be viewed as a malleable concept, much more aligned with TIE’s idea of infinitesimal exhaustion of time. This exhaustion is not a sudden end, but a prolonged and continuous transition toward a new configuration—whether in terms of cosmic cycles or the individual experience of death. Penrose’s CCC and TIE, though arising from different fields, share the notion that time and existence, far from being finite and terminal, are in perpetual processes of reinvention and transformation.

TIE, in proposing that time does not extinguish with death but is infinitesimally exhausted, connects with various contemporary physical theories that challenge linear conceptions of time and death. Entropy and the transformation of systems toward thermal equilibrium, as well as Roger Penrose’s cosmological theories of the eternal universe, offer meaningful parallels to this philosophical vision. Both perspectives—modern physics and TIE—suggest that death and endings are not absolute terminations, but transitional processes into states that, though different, preserve and transform what came before into new forms of existence.

5. BIOLOGICAL IMPLICATIONS: TIME AND LIFE

From a biological perspective, life cannot be conceived without time, as organisms are subject to a series of temporal processes that organize and regulate their existence. Aging, reproduction, and death are physiological expressions of the passage of time, where biological clocks and circadian rhythms function as internal mechanisms that synchronize the organism with the rhythm of the universe. These biological timing processes—ranging from cellular growth to the duration of metabolic functions—establish an indissoluble relationship between life and time. When compared to the ideas of the Theory of Infinitesimal Eternity (TIE), which suggests that life is a constant process of creating time, this biological view reveals a strong resonance. In TIE, time is not something that merely passes or is measured externally, but something life itself invents in the face of eternity. Similarly, in biology, life invents its own time through adaptation to its environment via internal rhythms. This active creation of time through vital cycles reflects the same principle: that each instant of life is a victory against the void of non-time—a process that affects both human existence and life as a whole.

In this context, a comparison can be made with Henri Bergson’s vitalism, which posited that real time (durée) is not the time measurable by clocks, but the time that is lived—subjective and internal experience. For Bergson, life is a continuous flow that cannot be reduced to a sequence of discrete moments. In this regard, his philosophy aligns with TIE in suggesting that life and time are inseparable, mutually created at every instant. From Bergson’s vitalism, life is not a mere biological object governed by physical laws, but a creative impulse that invents its own time as it unfolds. TIE, with its notion of life as a force that generates time infinitesimally, appears to adopt this idea, extending it to include a resistance to eternity, suggesting that each form of life not only adapts to time but shapes it in its struggle against non-being.

Another relevant biological perspective that enters into dialogue with TIE is the theory of aging and telomeres, which posits that aging is, in part, the result of the progressive shortening of telomeres in our cells. Within this framework, life can be viewed as a biological clock that advances inexorably toward death. However, TIE offers a reinterpretation of this notion by proposing that even within progressive biological exhaustion, time is not completely extinguished, but continues infinitesimally. Death is not an abrupt end, but a prolonged process in which life gradually fades, never reaching the absolute void of non-time. This view also aligns with systems biology, which conceives of living organisms as complex networks in constant interaction and transformation, where aging and death are part of the reconfiguration of these networks. In TIE, this biological depletion can be understood as an approach to eternity through life itself, where time—although limited by biology—continues to manifest even in the moments closest to the end.

More broadly, the idea that life «creates time» in each instant may also be compared with Humberto Maturana and Francisco Varela’s concept of autopoiesis, which describes organisms as systems capable of self-organization and maintaining their identity in the face of a changing environment. From this perspective, life is a process of continuous self-generation and adaptation—something that can be understood as a form of «time creation.» Just as in TIE, where time is constantly invented in the struggle against eternity, in autopoiesis the organism not only interacts with the environment but generates and sustains its own internal temporality. Each moment of life is an act of resistance against dissolution, an active creation of one’s own time in the face of the entropic forces of the universe.

It is also compelling to compare TIE with Darwinian evolution. In Darwinism, organisms live and die in a process of natural selection, where those best adapted to their environment pass on their genes to future generations. Although this process seems to subordinate life to the flow of evolutionary time, TIE could reinterpret it as a series of infinitesimal victories against eternity: each life form, in its adaptation and survival, invents a time of its own—a triumph over the vastness of death and the void. Rather than viewing life as merely temporal and perishable, TIE suggests that each living being—even in its mortality—contributes to the creation of a temporal reality that resists absolute disappearance.

The biological perspective of TIE is further enriched by considering the ideas of philosopher Daniel Dennett, who has explored the nature of consciousness and time from an evolutionary standpoint. Dennett argues that consciousness is not a static phenomenon but a dynamic process that unfolds over time and is intimately tied to the organism’s biology. According to him, our perception of time is largely a cognitive construction, the result of an evolved nervous system that has learned to anticipate and remember events to maximize survival. From this perspective, human life can be seen as a continuous process of temporal creation, where the ability to recall the past and anticipate the future not only aids adaptation but also grants us a rich temporal experience.

By integrating this idea with TIE, we can see how each moment of life becomes an opportunity to «invent» time through conscious experience. Dennett emphasizes that consciousness allows living beings not only to react to their environment but to project their existence forward, shaping their reality through decisions and actions. This aligns with TIE’s proposition that life is defined by the capacity to create time, as active and reflective consciousness transforms each second into a victory over eternity. Instead of being mere observers of passing time, organisms—just as in TIE—are active agents contributing to the creation of a temporality that is both unique and shared.

Dennett’s notion of the «narrative self» also aligns with TIE. He posits that each individual constructs a narrative of their life—a story that interweaves memories and expectations into a coherent temporal arc. This narrative not only gives meaning to experience but also allows human beings to find purpose in their existence. In TIE, each personal narrative becomes a process of time creation that resists the inevitability of death, as each lived story contributes to an infinitesimal eternity that persists in collective memory and interpersonal relationships. By living each moment fully and sharing our stories, we create a time that, though finite, is imbued with meaning and connection, emphasizing the idea that life, in its fragility, is also a celebration of the eternal.

Furthermore, the connection between TIE and Dennett’s ideas can be explored through his concept of the «illusion of the self.» Dennett argues that the sense of self is a construct emerging from narrative processes and social interaction. This approach complements TIE by suggesting that, just as our sense of self is an active creation in time, life itself is constituted through interaction with the environment and others. Identity, then, is not a fixed state but a process in constant becoming, manifesting in the creation of temporal experiences. This suggests that, just as time is an active construction in TIE, the human being is also an entity that constantly reinvents itself, which opens the door to an ethics of care and shared responsibility, where each life counts as a portion of eternity that we co-create in relation to others.

Dennett’s view of evolution and natural selection reinforces the idea that life is in constant transformation and that time plays a crucial role in this process. TIE, by proposing that death is an infinitesimal exhaustion of time that never reaches non-time, complements the notion that each organism not only adapts to its environment but also contributes to its evolution through its choices and actions. In this scenario, death becomes part of a broader cycle of creation and transformation, where each life—though limited—has the potential to leave a mark on the history of time. Thus, TIE and Dennett’s ideas converge in a vision in which life, time, and consciousness are intrinsically linked, offering a humanistic approach that values each instant as an opportunity for resistance and creation in the face of eternity.

TIE, by proposing that life «invents» time at every moment, seems aligned with the biological idea that time is an internal construction of the organism. Life experiences and creates time in a subjective and finite way, which introduces an ethical and existential dimension into our scientific understanding of life. Although biological science does not directly address eternity, advances in evolutionary biology and molecular biology offer clues that life, in its struggle to perpetuate itself, is ultimately a struggle against time.

CONCLUSION

From a scientific standpoint, the Theory of Infinitesimal Eternity (TIE) raises intriguing questions about the relationship between time, infinity, and eternity. While scientific concepts of time focus on its measurable physical behavior—as in Einstein’s theories of relativity, which describe time as a flexible dimension dependent on the observer—TIE introduces a philosophical perspective that reinterprets the nature of time in terms of infinitesimal processes and mathematical limits. This philosophical view challenges the notion that time is merely a continuous flow, suggesting instead that each fleeting instant can contain a fragment of the eternal. Thus, eternity is not an abstract, inaccessible concept, but an experience that manifests within every lived moment.

While modern science offers tools to understand time through relativity, quantum mechanics, and biology, TIE challenges these notions by proposing that eternity is intrinsically tied to life itself. Quantum mechanics, for instance, introduces the idea that particles can exist in multiple states simultaneously until observed, implying that time may not be strictly linear or deterministic. This principle of indeterminacy aligns with the notion that our knowledge of time and reality is limited and constantly evolving—an idea TIE takes a step further by presenting it as part of the active creation of time through human experience.

Furthermore, biology—which explores time in terms of life cycles, aging, and death—complements TIE in emphasizing that life itself is a process of temporal invention. Each organism not only experiences time but actively creates it through its existence, prompting reflection on the ethics of how we use time and how we affect the time of others. This perspective opens new paths for thinking about how we conceive of time and our place within it, suggesting that death is not an end, but a transformation that allows us, in some way, to transcend through every moment we live. In this way, TIE becomes a bridge between science and philosophy, offering an understanding of time that is both measurable and experiential, inviting us to recognize the dignity and value of each moment in our search for meaning in a constantly changing universe.

Although there are points of convergence between TIE and science—especially regarding the relationship between quantum physics and the infinitesimal structure of time—it must be acknowledged that TIE stands as a philosophical proposal. This theory presents concepts that current science cannot yet fully address or explain empirically, such as the idea that each moment of life not only creates time but also contains a portion of the eternal. TIE invites reflection on the human experience of time that goes beyond the objective, quantifiable measurements that predominate in science. As science progresses, it may explore these ideas with more complex models or new theories that challenge our understanding of time and eternity. For example, the study of quantum phenomena, string theory, or even contemporary cosmology could open new lines of inquiry that align with the philosophical intuitions of TIE. These scientific fields, with their capacity to question and expand the boundaries of what is known, may provide a framework in which the ideas of TIE can be evaluated—and perhaps even integrated—into a broader scientific context.

Nevertheless, despite these possible synergies, it is essential to distinguish between the philosophical approach of TIE and the empirical nature of science. TIE focuses on the subjectivity of human experience, the creation of meaning in each moment, and the ethical reflection on how we live our time. This humanistic dimension highlights the importance of consciousness and personal responsibility, suggesting that although science may unravel the mysteries of time from an objective perspective, the lived experience and value of each moment are matters that require deeper philosophical exploration. In this regard, TIE not only complements scientific advancements but also invites them to consider the existential dimension of what it means to live in a world where time, eternity, and our own mortality are inextricably intertwined.

PART 7

A HUMANISTIC CONCLUSION

From a humanistic perspective, the Theory of Infinitesimal Eternity (TIE) offers a profound philosophical response to essential questions about time, life, and death—reframing humanity’s most universal concerns: the meaning of existence, finitude, and the desire to transcend the ephemeral. TIE redefines the relationship between the temporal and the eternal, suggesting that eternity is not an absolute and distant state reserved for the afterlife, but something that unfolds in every lived moment, even if only in infinitesimal fractions. This conception challenges traditional views that contrast human finitude with an unreachable eternity. Instead, TIE posits that rather than being doomed to be consumed by the limits of time, human beings continuously partake in eternity—albeit at a micro level—within the everyday experience of life.

This approach invites us to see each instant not as a mere point in a linear chronology, but as a unit of resistance against the void of non-time—a small victory over death and extinction. This shift in perspective carries important ethical and existential implications: if every moment of life contains a fragment of eternity, then how we live each moment takes on a special value and responsibility. Every action, decision, and experience becomes an act of time-creation in the face of nothingness, granting transcendent meaning to the ordinary. In this sense, TIE offers not only an ontological vision of being-in-becoming but also a way to find meaning in human existence through its continuous search for purpose in the world.

The South Korean philosopher Byung-Chul Han, who has reflected deeply on temporality in the digital age and the exhaustion of contemporary life, offers a parallel critique. In his work The Scent of Time, Han argues that in late modernity, the acceleration of time and obsession with performance have stripped life of its deeper meaning and its capacity to experience eternity in the present. According to Han, we have lost the ability to contemplate time, to pause and perceive its qualitative dimension.

In this context, TIE can be seen as a response to the crisis of temporality that Han describes, proposing a way to reconnect with the eternal through the conscious experience of each moment. Both perspectives converge in the idea that human life can recover its ontological and ethical depth by reclaiming a sense of time that is not consumed by mere productivity or the fleeting nature of the clock, but that instead opens, in each moment, a doorway to eternity. In TIE, each instant is a fraction of eternity, an active resistance against non-being; in Han’s thought, the challenge is to pause in the present in order to rediscover the qualitative value of time and avoid collapse into the void of empty performance.

In his Confessions, Saint Augustine reflects on the nature of time, the soul, and eternity, arguing that time does not exist independently but is intimately tied to human perception and the eternity of God. Augustine maintains that God exists outside of time, in an eternity without beginning or end, while human beings experience time as a continuous flow of moments. Yet, his notion that the human soul can access eternity through its relationship with the divine shares important points of contact with TIE—namely, the idea that eternity is not separate from time, but can be perceived through a particular mode of existence.

The key difference lies in where this access to eternity is located: while Augustine places it in a transcendental relationship with the divine, TIE situates it within the temporal becoming of human life itself. In both cases, the relationship between the finite and the eternal is dynamic rather than static. But whereas Augustine envisions eternity as something attainable through salvation and the end of time, TIE asserts that eternity is already present in each infinitesimal fragment of time, crafting an ontology of the limit that does not depend on future transcendence, but rather on immanence in the present.

1. ETERNITY IN THE EVERYDAY

The Theory of Infinitesimal Eternity (TIE) introduces a radically different view of time and eternity, challenging the traditional conception that the eternal is an unreachable state, completely separate from everyday life and the temporal flow that defines human existence. The TIE suggests that eternity is not a distant horizon opposed to time, but an infinitesimal limit present in every moment of life—a constant, albeit subtle presence that tends toward the eternal without fully consummating it. This implies that time and eternity are not absolute opposites, but dynamically intertwined in living. Every decision, every action, every small instant contains within itself a fragment of eternity, which bestows an incalculable value on each moment, no matter how insignificant it may seem from a linear perspective of time. Thus, the TIE invites us to reconsider how we experience the present: life becomes a continuous process of creating time, a constant invention of a finite reality that resists—if only momentarily—the void of non-time. In this ontological struggle, existence is not seen as a march toward the end, but as an active effort to generate time, to shape a temporality that, although finite, is nourished by eternity.

Alain Badiou, in his theory of events, argues that certain moments in life possess a transcendental quality—events that break with the ordinary continuity of time and offer the possibility of new eternal truths. For Badiou, these events have the capacity to alter the structures of reality, and though rare, they contain infinite potentiality. Similarly to the TIE, Badiou suggests that the eternal is not separate from time, but arises in specific moments that redefine the relationship between being and becoming. Both approaches acknowledge that the infinite and the eternal are present in finite time, and that humans, through their actions and decisions, can interact with this transcendental dimension.

On the other hand, when compared with the materialist philosopher Epicurus, a notable contrast emerges. While the TIE views time as a continuous creation confronting the threat of non-being, Epicurus argued that time is merely an accident of motion and that concern over death or eternity is an unnecessary source of anxiety. For Epicurus, humans should focus on pleasure and the absence of pain, since death is the definitive end of the individual and should not be feared, as there is no consciousness or sensation afterward. Here, the difference is clear: whereas the TIE assigns to time and life a dimension of resistance against eternity, in Epicurus’s classical materialist thought, time and life are purely physical phenomena, without transcendence beyond their duration. This divergence underscores how the TIE proposes an ethics and ontology that reject the notion of absolute end and promote a vision where time and eternity coexist in creative tension, in contrast to the Epicurean view of radical finitude and the emphasis on serenity in the face of death.

The Theory of Infinitesimal Eternity (TIE) establishes a deep connection with a humanism that centers the human experience on its temporal extension and the inherent quality of every lived instant. By proposing that the eternal is not a distant reality, separate from time and finite life, but something revealed in the fullness of each present moment, the TIE transforms our understanding of time and existence. This view suggests that every instant holds infinite potential value—a fraction of eternity manifested in conscious experience and in the human capacity to create meaning within finitude. This conception of time and eternity is not based on remote transcendence, but on the immanence of the eternal within the temporal flow, inviting us to recognize the symbolic infinitude of every act, every thought, and every experience. Thus, the TIE’s approach promotes an ethics that not only values life in its chronological extension but emphasizes the quality of existence and the lived present as a source of profound meaning. From this perspective, the act of living consciously and appreciating each moment becomes an ethical act—an affirmation of being against non-being, a resistance against dissolution into abstract eternity. Time is not something that simply passes or runs out; it is actively created in every human experience, highlighting the importance of how we live and how we relate to the world and others.

Zygmunt Bauman argues that in contemporary society, everything seems transient, ephemeral, and lacking enduring solidity. However, what the TIE suggests is that even within this transience, every instant has an eternal dimension—an infinitesimal fraction of eternity that grants intrinsic value to lived experience. For Bauman, human relationships and values become ‘liquid,’ but within the framework of the TIE, even amid this liquidity, every interaction and every experience becomes a creation of time and, therefore, a form of resistance to the fluidity of the ephemeral. Both perspectives agree that human life is in constant flux, but the TIE adds the dimension that each fleeting moment contains within itself a fraction of eternity.

When compared with a contemporary materialist philosopher like Daniel Dennett, the differences are clear, but interesting points of intersection also arise. Dennett, as a materialist, holds that consciousness, time, and life are merely the products of physical and biological processes, without the need to introduce transcendental or eternal notions. For him, consciousness is the result of neuronal activity, and time is a human construction based on perception and the cognitive organization of events. From this perspective, time is purely physical—a dimension emerging from the interaction of matter and energy in the universe. However, where the TIE might intersect with Dennett’s materialism is in the appreciation of process. While Dennett views time as an emergent and quantifiable phenomenon, the TIE suggests that within this material flow of time, each moment contains an unexplored depth: an infinitesimal fraction of eternity. Whereas Dennett focuses on explaining how we perceive time as a natural consequence of brain processes, the TIE insists on the symbolic and ethical value of every instant as part of a broader process in which the eternal manifests continuously and subtly.

2. THE VALUE OF THE INDIVIDUAL AND THE HUMAN EXPERIENCE

The Theory of Infinitesimal Eternity (TIE) proposes a profound reinterpretation of the relationship between life, time, and death. Far from viewing death as absolute annihilation, the TIE suggests that every moment of life contains an infinitesimal fraction of eternity that does not dissolve in the act of dying but persists as a kind of infinitesimal prolongation. Life, although finite in biological terms, acquires eternal value in its very finitude, since every passing moment, every second we breathe, is a triumph over nothingness, a resistance against non-being. This approach introduces an ethics of existence that invites us to value life as a whole, and every individual moment. Thus, death should not be considered the absolute end, but a transformation in the way eternity manifests itself. Instead of fearing total dissolution in death, the TIE suggests that the eternal is already present in every breath, every action, every choice we make throughout our lives. Hence, human life—however brief or seemingly insignificant—possesses an eternal dimension that unfolds infinitesimally through time. This thought challenges traditional notions of mortality and eternity by proposing a dialectic in which both are intertwined, where death does not negate life but transforms it into a continuity that continues existing in the infinitesimal dimension of time.

A contemporary example linking the TIE with political and critical philosophy is the work of Angela Davis. Davis, in her struggle for civil rights and the abolition of prisons, argues that human life has intrinsic value beyond the social and structural conditions that attempt to dehumanize people. In her critique of the prison-industrial complex, Davis highlights how power structures seek to suppress life and reduce it to a state of non-existence or “social death.” However, her work also implies a vision of resistance, where even the most marginalized and oppressed lives find ways to create and sustain time in the face of structures that seek to erase them. Here, the struggle for freedom and dignity becomes an act of time creation in opposition to a system that, in many ways, operates as a machine of death. This notion of resistance to oppression resonates with the TIE insofar as both suggest that even under extreme conditions of finitude and death, there is a dimension of eternity maintained through struggle, resistance, and collective action. Davis reminds us that, just as the TIE posits that life always contains a fraction of eternity, even in the darkest spaces—such as prisons—life continues to exist and resist, bestowing value on every instant.

By contrast, Michel Foucault offers another critical perspective that relates to the TIE through his analysis of power structures and their influence over life and death. In his concept of “biopolitics,” Foucault argues that modern governments and institutions do not merely control the biological life of citizens but also the way they experience time and space. Biopolitics refers to the techniques and mechanisms by which authorities regulate and manage people’s lives, controlling both the duration of their existence and the conditions under which they live. Foucault suggests that power structures not only allow people to live or die but also determine the quality of lived time. Here, the notion of the TIE can serve as a counterpoint: although power structures attempt to regiment time and life, eternity is always present in the very act of living, in every moment resisted against state control. While power tries to discipline and segment time, the TIE offers a vision of each moment as eternally significant, even under conditions of oppression and control. Thus, Davis and Foucault share with the TIE a concern for how life and death are socially managed and how resistance to these forces of control entails a continuous process of creating time and eternity in every moral action and choice.

From a humanistic standpoint, the Theory of Infinitesimal Eternity (TIE) proposes a profound affirmation of the dignity and value of each individual life, based not on immortality, but on the active experience of living in time. Although our lives are limited and finite, the TIE invites us to understand that every moment we live, every instant we manage to hold against the vastness of non-being, is charged with a kind of transcendence—not the traditional transcendence that depends on eternal life in an afterlife, but a transcendence that arises from how we live, create, and experience time here and now. This approach emphasizes that we are not mere passive recipients of temporality, but active agents who, with every choice, action, and thought, create and shape time, giving it meaning and content.

The idea that every second gained against eternity is a small victory not only reaffirms the importance of the individual life but also the crucial role we play in constructing our destiny and our relationship with time. In this regard, the TIE presents us with a dynamic humanism, in which the essence of human existence does not lie in the promise of an eternal future but in the capacity to generate eternal meaning in every finite action. This implies an ethical responsibility toward ourselves and others: every moment we live, share, and create is an affirmation of our humanity, an act that challenges the void and grants dignity to our lives. Instead of awaiting transcendent salvation beyond time, the TIE invites us to find that transcendence within the very flow of our vital experience—in the victory that each second fully and consciously inhabited represents.

3. DEATH AND THE CONTINUITY OF BEING

One of the most profound contributions of the Theory of Infinitesimal Eternity to humanist thought is its radical reinterpretation of death—a phenomenon traditionally seen as the absolute end of existence and a source of fear and resignation. In contrast, the TIE suggests that death should not be understood as a definitive break in the continuity of being, but rather as a transition to a form of existence that does not extinguish but transforms infinitesimally. Death, far from being annihilation, is an asymptotic point of approach, in which the finite time of life does not dissolve into the void but integrates into an infinitesimal eternity. Within this framework, every lived moment and experience becomes an echo of eternity, granting life a permanence that goes beyond linear and chronological time. Being continues in a state of «temporal liminality,» always approaching the eternal without ever fully reaching it, redefining death not as an abrupt interruption but as a transformation in the relationship between time and eternity. Thus, the TIE offers us a conception of death that is not failure or final termination, but part of an eternal process in which lived experience perpetuates infinitesimally, enriching our understanding of the meaning and dignity of human existence. This approach not only challenges the despair associated with death but elevates life to a dimension where every action and decision, no matter how small, acquires eternal significance, giving rise to a new ethics of living, in which the finite and the infinite intertwine in each moment.

Slavoj Žižek, in his analysis of the contemporary subject and death, employs a psychoanalytic and Hegelian perspective to deconstruct the idea of death as an absolute breaking point. Influenced by Hegelian dialectics, Žižek proposes that death is not simply a biological event marking the end of subjectivity, but a crucial moment in the very constitution of being. Death is a productive void, a negativity that allows life to be reconfigured around new forms of subjectivity. While Žižek and the TIE both reject death as an absolute end, the TIE goes a step further by introducing the notion of an infinity present in each moment, transforming death into a transition toward a state of infinitesimal eternity. Whereas Žižek focuses on death as a moment of subjective renewal through dialectics, the TIE frames death as part of a continuous process in which what is lived approaches eternity asymptotically.

On the other hand, when compared with Plato’s vision, a significant divergence emerges. In his Phaedo, Plato conceives of death as a separation between the immortal soul and the mortal body, where the soul is freed to access a realm of eternal and immutable truths. For Plato, earthly life is a preparation for that transition, and true permanence lies in the world of Ideas, not in time or sensory experience. In contrast, the TIE proposes that the eternal does not reside in a transcendental realm outside experience, but is intrinsically present in every moment of life through the infinitesimal structure of time. While Plato emphasizes the need to escape the temporal world to reach eternity, the TIE offers a vision in which eternity is always accessible and intertwined with every moment of existence. Death, then, is not a separation between two worlds but a continuity that redefines our relationship with time and eternity from within finite experience.

By recognizing that every moment of life, every relationship, and every choice endures within this temporal infinitude, death is transformed into an intrinsic part of the life cycle, where what we have lived and created continues to hold relevance, even if no longer immediately present. Thus, the TIE redefines death not as closure but as a stage in a continuous process that invites us to embrace life with greater depth and significance, fostering an ethics of memory and resilience that enriches both our lives and those around us. This understanding ultimately promotes a celebration of human existence in all its fragility and beauty, highlighting the importance of living consciously and intentionally, knowing that every moment counts within the vast fabric of time and eternity.

Death is not something to be feared but can be seen as part of a broader process in which time—and with it, life—never fully extinguishes. This humanist vision underscores the permanence of being within temporal flow, suggesting that even at the end of our physical existence, there is a form of eternity accompanying us, manifesting through the traces we leave in the world and in the lives of those around us. Rather than an abrupt cut, death presents itself as a transition that, although painful, allows for the continuity of personal and collective legacy. Memories, teachings, and emotional bonds transcend time, creating a connection that, although intangible, continues to influence future generations. Thus, each life, however fleeting, is inscribed within a larger context where every shared experience and every action holds the potential to extend beyond our temporal existence. This humanist approach invites us not only to value every lived moment but to cultivate meaningful relationships and contribute to society, knowing that our lives—though limited in time—are imbued with a significance that can endure and enrich the human experience. In this framework, death becomes a reminder of life’s fragility but also of its extraordinary capacity to persist and transform, emphasizing the importance of living fully and purposefully here and now.

4. HUMAN BEINGS AS CREATORS OF TIME

One of the most powerful implications of the Theory of Infinitesimal Eternity (TIE) is the idea that human life ‘invents’ time at every moment. This positions us not merely as passive participants in the flow of time, but as active agents in its creation, transforming our relationship with time into a dance of possibilities and meaningful choices. From a humanist perspective, this notion grants each individual an ethical and existential responsibility: if every instant is a victory over eternity, then every choice, every act, and every experience carries fundamental weight in shaping our reality and our sense of time. This leads us to consider how our actions affect not only our own time but also that of others, creating a fabric of interactions that intertwine and converge within the temporal continuum. The TIE urges us to reflect on the impact our decisions have in constructing a meaningful present, encouraging us to live with greater awareness and commitment. Within this framework, each lived moment is not merely a fraction of time but an opportunity to exercise our freedom and contribute to building a more just and compassionate world. Thus, the invention of time becomes a collective act, where the responsibility of each individual expands to include consideration for the well-being of others, fostering an ethic of care that values life in its entirety and vulnerability. Ultimately, this humanist vision invites us to embrace the complexity of time as a space of continuous creation, where eternity intertwines with the immediacy of our existence, enriching our experience and deepening our connection with others.

This aligns with a humanism that values autonomy and the creative capacity of human beings, suggesting that we are more than mere observers of our lives; we are the architects of our temporal experience. Life is not simply something that happens to us, but something we actively create in our relationship with time and with others. This humanist vision emphasizes that every choice and action we make shapes not only our own path but also impacts those around us, generating an ecosystem of interactions that shape the world. Every moment of life becomes an act of creation that challenges the inertia of time and the fatality of eternity. By considering our existence as a dynamic process of invention and resistance, we recognize that time is both a resource and an opportunity to exercise our will and creativity. This approach converges with the idea that life is a blank canvas, where our decisions act as brushstrokes that bring color and meaning to our experience. Thus, we are encouraged to live with intention and purpose, cultivating not only our own happiness and personal growth but also the well-being of our community and respect for shared time. This understanding invites us to be agents of change, capable of shaping not only our individual stories but also the collective narrative of humanity as a whole.

5. A NEW PARADIGM OF TRANSCENDENCE

Finally, the Theory of Infinitesimal Eternity (TIE) offers a new way of understanding transcendence—not as an escape from time or earthly life toward an abstract eternity, but as something found in the depths of every lived moment. This perspective redefines the concept of immortality, moving it away from the idea of perpetuity and closer to the richness of the ephemeral. Rather than aspiring to an existence that conventionally defies death, the TIE suggests finding the eternal within finitude itself, as every second of life is a triumph over the eternal void. Each moment becomes an opportunity to experience the fullness of what it means to be human, reminding us that despite our inevitable mortality, our lives are intrinsically valuable and full of meaning. This vision invites us to value temporality not as a limitation, but as a canvas upon which our experiences, emotions, and relationships are painted. By embracing the idea that eternity can manifest in the everyday, we are encouraged to live more deeply and consciously, appreciating the beauty and complexity of each instant, and recognizing that even in life’s fragility there is a persistent force connecting our existence to something greater than ourselves. Thus, the TIE teaches us that true transcendence is not found in the pursuit of an unreachable future, but in the celebration of the present, here and now.

This is a profoundly humanist message: transcendence is not located outside of us, in a life beyond or an inaccessible realm, but within our own human experience. By fully living each moment and recognizing the infinite dimension it contains, we find a form of eternity that is accessible here and now. This approach invites us to appreciate the uniqueness of each instant, to value the interactions and experiences that shape our lives. The TIE teaches us that the richness of existence does not lie in the quest for distant immortality, but in the capacity to transform the everyday into something meaningful. By focusing on the present and the active creation of our time, we not only cultivate a fuller life but also connect with a deeper reality that transcends the limitations of finitude. Every laugh, every tear, and every shared moment becomes a manifestation of that eternity already residing within us—in our capacity to experience, create, and share—thus reaffirming the intrinsic value of life itself.

CONCLUSION

The Theory of Infinitesimal Eternity invites us to reexamine our relationship with time, death, and eternity from a perspective that celebrates human life in all its complexity and finitude. It shows us that, although eternity may seem distant and abstract, it is present in every moment of our existence, waiting to be recognized and lived. This approach emphasizes the importance of each lived moment, transforming the perception of time from a resource to be managed into a rich and meaningful experience. The TIE is not only a philosophical reflection on time but a call to live with greater awareness, responsibility, and appreciation for the gift of time which, though limited, carries within it a spark of the eternal. Every choice we make, every relationship we cultivate, and every experience we cherish become acts of resistance against eternity, dignifying our existence and affirming the intrinsic value of life itself. By understanding that the eternal is not beyond our reach but manifests through our lived experiences, we are driven to engage deeply in our lives, to care for ourselves and others, and to create a legacy that endures beyond the passage of time. Thus, the TIE not only redefines our understanding of time but also empowers us to be architects of our own narrative, inviting us to be mindful of the richness of each instant and to live in a way that honors both our finitude and our connection to the eternal.

By transcending mere chronology and delving into the profound experience of the moment, the Theory of Infinitesimal Eternity (TIE) reminds us that, although time passes and death is inevitable, life holds the power to create, transform, and, in a certain sense, eternalize itself in each of its moments. This perspective invites us to recognize that every experience lived, no matter how insignificant it may seem, carries a weight of meaning and a connection to the eternal that we must value and appreciate. The TIE teaches us that existence is not a mere transit toward a final destination, but a dynamic and vibrant process where every choice, every emotion, and every relationship has the potential to extend through the fabric of time, creating traces that endure beyond our physical existence. In this light, acknowledging the fragility of life becomes a source of empowerment; rather than discouraging us, it motivates us to live more intensely, to cultivate compassion and care for ourselves and others, and to create moments that transcend the ephemeral. Thus, the TIE stands as a hymn to the dignity of human experience, a reminder that true transcendence lies not in the pursuit of abstract immortality, but in the capacity to fill each instant with meaning, love, and authenticity. As we conclude this reflective journey, it is crucial to remember that by living fully, we not only affirm our humanity but also contribute to a collective legacy of life that, though fleeting, converges in the eternity of every shared moment.

GLOSSARY

Abyss of the Eternal: In the TIE, this term refers to the notion that eternity is an infinite backdrop threatening to absorb all that is temporal, yet each moment of life creatively resists this dissolution.

Abyss of Non-Time: A metaphor for the state of temporal non-existence. In the TIE, finite time resists falling into this abyss, continuously generating itself at the boundary with the eternal.

Act of Invention in the TIE: In the TIE, every lived moment is a creative act that challenges eternity, implying that life is not merely finite becoming, but a constant invention of time and meaning.

Aion: A concept from Deleuze describing infinite, eternal time that cannot be captured in a specific moment but is always in flux.

Alain de Botton: A contemporary philosopher and writer who addresses everyday and existential themes such as love, death, and the meaning of life, connecting philosophy with practical living.

Aristotle: A Greek philosopher who conceived time as a measure of change in the physical world. For him, time is finite and limited because it is tied to movement and the transformation of matter.

Complexity of Being: A concept reflecting the idea that a life is not defined solely by its physical duration but by its lasting influence through memory and collective narratives.

Collective Consciousness: The shared memory and knowledge of a community, which preserves and reinterprets the impact of lives affected by violence, according to Butler, helping maintain their relevance in the present.

Temporal-Eternal Convergence: In the TIE, the idea that time and eternity are not opposing entities but interrelated. Time, in each of its moments, contains a fraction of the eternal.

Abrupt Cut: In the context of death, it refers to the traditional idea that death represents a sharp end to relationships—a view challenged by de Botton, who emphasizes the persistence of legacy.

Active Creation of the Eternal: Unlike conceiving time as a reflection or shadow of the eternal, the TIE proposes that time is a continuous and active creation arising from the eternal in every lived moment.

Chronology: A measured sequence of time. The TIE maintains that chronology is a product of life, not something external to it.

Heraclitus’ Becoming: The notion of constant change and the perpetual flow of reality, in contrast to the static view of eternity.

Becoming: The process of change and transformation. In the TIE, becoming is the result of the continuous creation of time by life.

Divergent: Referring to the nature of the temporal instant according to the TIE, where fragments of eternity manifest in an infinitesimal and continuously changing form.

Lived Duration (Henri Bergson): A philosophical idea distinguishing between measured (chronological) time and subjectively experienced time. The TIE adopts this concept but goes further by positing that every lived instant contains fragments of eternity.

Ephemeral: That which is brief, fleeting, or short-lived.
In the TIE, the ephemeral and the eternal merge in each moment of existence.

Essence of Existence: The idea that the most significant aspects of a person—their influence, teachings, and emotional imprint—endure even after physical death.

Essence of the Infinite: The idea that the infinite, in terms of the TIE, manifests in each finite moment of life, albeit subtly and never fully attained.

Dynamic Eternity: A central concept in the TIE describing eternity as a constantly evolving process, present in every instant but never fully attainable, unlike the classical view which sees it as immutable and outside time.

Eternity in Time (TIE): The TIE proposes that eternity is not external to time nor a separate entity, but unfolds in every moment of life. This implies that every second of existence is an act reflecting eternity in an infinitesimal fraction.

Eternity: (1) In the TIE, it represents an infinite concept in which lived moments contain fragments of eternity. Butler also suggests that lives can have a lasting impact that transcends physical time through memory and narratives.
(2) It refers to an infinite, immutable, underlying reality which in the TIE is not separated from time but in constant interaction with it. It is not a fixed transcendental state but something that manifests infinitesimally in each moment.
(3) Traditionally understood as an absolute, immutable, and transcendent state outside time. The TIE presents it as an interdependent process with time, a limit tending toward zero but never fully reached.

Eternal in the Infinitesimal: In the TIE, each finite moment contains a fraction of eternity. Similarly, Harari suggests that human narratives and actions carry a meaning that may seem small but points toward something eternal or transcendent.

Eternal Return: A Nietzschean concept postulating the infinite repetition of all events and moments of life, giving each instant an eternal and transcendental character.

Aesthetic Experience: In the works of Sontag and Benjamin, a way of connecting with the eternal through the perception of art. The TIE suggests that art can make the presence of the eternal in the temporal tangible.

Experiences: Personal lived moments that, according to de Botton, continue influencing our decisions and emotions even after the death of a loved one.

Phenomenology of Edmund Husserl: A philosophical movement that considers time as a structure of consciousness. Husserl posits that we experience time through retention of the past in memory and anticipation of the future, creating a continuity of experience.

Finitude of Life: In philosophy, finitude refers to the inherent limitation of human life, especially regarding time and death. Harari and the TIE address how humans face this finitude through meaning-making and the invention of time.

Human Finitude: The limited and mortal condition of human existence. In the TIE, finitude is reinterpreted as part of a framework where time contains infinitesimal fragments of eternity.

Finitude: The condition of having a limit. In the TIE, the finitude of time is a key element, as life manifests in finite moments against the vastness of eternity.

Form of Pure Intuition (Immanuel Kant): According to Kant, time is an a priori structure of the human mind that organizes perceptions. The TIE differs by proposing that time is an evolutionary process rather than a static framework.

Infinitesimal Fraction of Eternity (TIE): (1) A TIE concept suggesting that each temporal moment contains a tiny portion of eternity, albeit in an infinitely small form, approaching the idea of the eternal without exhausting it.
(2) Unlike Husserl, the TIE proposes that each moment of time is not merely part of a sequence but contains within itself a fraction of eternity, suggesting a continuous connection between the finite and the eternal.

Infinitesimal Fraction of the Eternal: A TIE concept suggesting that each moment of life, though finite and limited, contains a spark of eternity—a small portion that manifests temporarily.

Fragility of Life: A central concept in Butler’s work recognizing the inherent vulnerability of human existence, especially in contexts of violence, injustice, and war.

Gilles Deleuze: Contemporary philosopher who proposes a dual vision of time: chronological time unfolding in the present, and the ‘Aion,’ an infinite becoming that cannot be fixed in a specific instant.

Henri Bergson: French philosopher who distinguished between chronological time (measurable and quantifiable) and ‘lived duration’ (subjective and qualitative time), influencing the idea that time experience cannot be reduced to a mere chronological sequence.

Heraclitus: Greek philosopher who argued that everything in the universe is in constant change or becoming. His famous phrase “you cannot step into the same river twice” reflects his idea that reality is in perpetual flux.

Ideas (Plato): Platonic concept describing eternity as a world of immutable and perfect forms, separate from time and human experience. The TIE challenges this view.

Identity: In Butler’s context, the result of collective narratives and shared experiences that arise around vulnerable lives and how they are remembered.

Moving Image of Eternity: Plotinus’ expression describing how time is a dynamic representation of the eternal, though not identical or static.

Emotional Impact: The emotions and feelings that endure in those who have lost a loved one, contributing to keeping that person’s presence alive in daily life.

Inertia of the Eternal: The tendency of eternity to absorb all that is finite. In the TIE, life rebels against this inertia by creating time with each lived moment.

Infinitesimal: (1) Something extremely small, approaching zero. In the TIE, eternity is broken down into infinitesimals intertwined with time without completely dissolving into it. It is used to describe the nature of eternity, approaching non-time but never fully reaching it.

Influence: The effect that people continue to exert on others’ lives through their memories and teachings, even after physical death.

Injustice: A condition in which a life is deprived of recognition or protection. In Butler’s view, lives suffering injustice can gain visibility and recognition through collective memory and resistance.

Immutability: The state of being unchanging. In the classical conception, eternity is immutable; the TIE redefines this notion, suggesting that the eternal interacts infinitesimally with the temporal.

Immutable: That which does not change. In classical philosophy, eternity is seen as immutable; the TIE conceives it as a dynamic and evolving process.

Temporal Instance: Each moment of existence generated in the act of living. In the TIE, these finite moments contain fragments of eternity and represent a rupture in the eternal flow.

Postmortem Interactions: Emotional and reflective interactions that the living continue to have with memories of the deceased, influencing their decisions and perceptions.

Temporal Interconnection in Husserl: According to Husserl, individual moments of time are connected through consciousness, which retains the past and anticipates the future, moving within a finite sequence of experiences.

Interdependent: A relationship in which two concepts or elements depend on each other. In the TIE, time and eternity are interdependent, as one cannot exist without the other.

Judith Butler: Contemporary philosopher and feminist theorist addressing topics such as vulnerability, violence, identity, and ethics. Known for reflections on gender theory and human rights.

The School of Life: Book by Alain de Botton exploring how philosophy can be applied to improve and understand everyday life, including how we deal with death and the legacy of loved ones.

Legacy: (1) The emotional and moral imprint a person leaves on others’ lives. According to de Botton, this legacy persists after death, affecting survivors’ decisions and feelings.
(2) The lasting influence of a person, especially after death, which persists through collective memory and social narratives—a key concept in both Butler and the TIE.

Leibniz: Philosopher and mathematician who developed the concept of infinitesimals and proposed that the universe consists of a series of continuities tending toward infinity, similar to the TIE’s ideas about eternity.

Juggler (metaphor): Image used in the TIE to describe the nature of finite time, which is fragile and dynamic, like spheres that must be kept in the air in a precarious balance against the abyss of non-time.

Manifest: Something made evident or clearly shown. According to the TIE, every second of life is a manifestation of the eternal in an infinitesimal form.

Time-Eternity Framework: The TIE’s approach establishing a new way of thinking about the relationship between time and eternity, where both are intertwined and mutually contained in an infinitesimal, dynamic form.

Frames of War: Judith Butler’s work exploring how lives are recognized or devalued in contexts of violence and conflict, emphasizing the importance of memory and collective narratives in identity construction.

Collective Memory: The process through which a community remembers and honors lives affected by violence, maintaining their influence through narratives that shape cultural and political identity.

Perpetual Motion: In the TIE, the idea that eternity is always present and in motion, but never fully accessible—similar to the concept of a process that never ends.

Death: Though physically the cessation of life, both de Botton and the TIE suggest it is not an absolute end, as emotional influence and memories continue to affect the living.

Human Narrative: According to Harari, the stories and myths that human beings have constructed throughout history are fundamental tools for organizing societies, giving meaning to life, and confronting the reality of death.

Narratives: Stories and discourses built around lives lost or affected by violence, which according to Butler, shape contemporary culture and politics while maintaining their impact.

Nietzsche and the Eternal Return: Friedrich Nietzsche proposed the idea that every moment of life repeats infinitely in an eternal cycle. In the TIE, although there is a connection with this idea, it differs in that each moment is a unique creation, not a mere infinite repetition.

Non-Time: (1) A concept in the TIE representing the absolute absence of time, a state toward which eternity tends but never fully reaches. It is a theoretical abyss confronted by finite time. (2) The theoretical limit that eternity infinitesimally approaches without ever reaching it. It represents an abstract conception of the absence of time. (3) A limit concept toward which eternity tends but can never fully attain, emphasizing the always-moving and changing nature of eternity.

Paradoxes of Infinity: Philosophical and mathematical problems exploring the nature of infinity, as formulated by philosophers like Leibniz and Zeno, illustrating how something can indefinitely approach a point without ever reaching it.

Parmenides: Greek philosopher who, in contrast to Heraclitus, argued that being is one, eternal, and immutable, and that change and becoming are illusions. For Parmenides, ultimate reality is static.

Persistence in Memory: A concept highlighting how a deceased person continues to exist through the memories and emotions of others, a central theme both in de Botton’s work and in the TIE.

Plotinus: Neoplatonic philosopher who described time as a “moving image of eternity,” implying that time reflects or imperfectly manifests the eternal. The TIE, however, treats time as an active creation rather than just a reflection.

Infinitesimal Exhaustion Process: A TIE concept that sees death not as a final cut, but as a gradual and continuous transition, where the impact of a life persists in others’ memories and emotions.

Rebellion Against the Eternal: In the TIE, each moment of life is a resistance against absorption by eternity, a creative act that gives meaning and form to time.

Reconciliation Between Heraclitus and Parmenides (TIE): The TIE seeks a middle ground between Heraclitus’s and Parmenides’s views. Though life and time are perceived as changing flows (becoming), they are intertwined with an eternal dimension that manifests infinitesimally in each instant of that change.

Semantic Reconfiguration: The process of redefining the meaning of a concept. The TIE carries out a semantic reconfiguration by reinterpreting the relationship between time and eternity.

Memories: Recollections of those who have passed away, which, according to de Botton, continue shaping the lives of survivors, keeping the deceased’s influence alive.

Relationship with Eternity: In the TIE and Butler, this refers to how life and death are connected with something that transcends physical time, allowing a fraction of existence to persist in the world.

Postmortem Relationship: According to de Botton, the relationship with a person does not end with their death but continues through memories, lessons, and emotional influence maintained by survivors.

Stories as Resistance: For Harari, the stories humans build are more than mere narratives; they are acts of resistance that challenge oblivion and temporality, just as in the TIE, where each lived second is an act of resistance against immutable eternity.

Technical Reproducibility (Walter Benjamin): A concept describing how the reproduction of art alters its perception, allowing the ephemeral to contain an eternal dimension, aligning with the TIE’s idea that the eternal manifests in every temporal instant.

Resistance Against Eternity: Both Harari and the TIE share the idea that although physical life is finite, human actions and narratives offer a form of resistance against the inevitability of time and death.

Resistance Against the Abyss of the Eternal: A central TIE idea describing how each moment of life not only manifests temporally but is a creation and affirmation of life in the face of eternity’s vastness.

Temporal Resistance: Life’s act of creating and sustaining time against immutable eternity. Each temporal instant challenges the immensity of non-time.

Resistance: The act of challenging injustice and violence, which, in Butler’s work, is deeply connected to how lives are remembered and how their legacies influence the struggle for recognition and justice.

Saint Thomas Aquinas: Medieval philosopher and theologian who follows the Aristotelian and Platonic tradition by affirming that eternity is the exclusive domain of God, an immutable being outside of time. In his view, time belongs to creation, while God transcends time and change.

Being and Becoming: Classical philosophical terms expressing the tension between the static and the dynamic in reality. Being (Parmenides) is immutable, while becoming (Heraclitus) is constant transformation.

Being-toward-Death: A central idea in Heidegger’s philosophy referring to the notion that human beings are always aware of their finitude and mortality, which influences their existence and understanding of time.

Susan Sontag: Philosopher and cultural theorist who argues that art allows the experience of eternity in the present moment, an idea connected to the TIE in how art reveals infinite dimensions within temporal moments.

Theory of Infinitesimal Eternity (TIE): (1) A philosophical proposal that challenges the classical separation between time and eternity, suggesting that eternity is not outside of time but constantly and infinitesimally manifested in every temporal moment.

(2) Posits that death is not an absolute end but a process in which a fraction of a person’s existence continues to influence time, an idea sharing similarities with Butler’s perspective on the posthumous impact of lives.

(3) Suggests that time and eternity are interrelated, and life continues to have an impact even after death, aligning with de Botton’s ideas on the persistence of the deceased’s influence.
(4) A philosophical perspective holding that each moment of life contains an infinitesimal fraction of eternity, transforming time into an active and continuous creation.

(5) Conceives time as a finite manifestation of eternity, where each moment contains an infinitesimal fraction of the eternal, constantly approaching non-time without fully reaching it.
(6) Redefines the notion of eternity as a dynamic and fluid concept, linked to each instant of existence, rather than something separate and static outside time. Eternity is seen as a series of infinitesimals approaching non-time but never attaining it.

(7) Posits that eternity is not a fixed state external to time but a dynamic process manifested in every instant of existence.
(8) Eternity is not a static entity but intertwined with each temporal instant. Eternity is viewed as an infinitesimal limit tending to zero but never reaching it, in constant relation with time.

Web of Meanings: The creation of stories and values, according to Harari, generates a network of meanings that connects human beings across time, allowing their actions and thoughts to endure beyond their physical lives.

Temporality:(1) The relationship between time and existence. Both in Butler and the TIE, death challenges the traditional conception of time since the impact of a life continues beyond its physical end.

(2) A reference to the concept of time and its relation to human existence. The TIE and Harari discuss how humans interact with time, either confronting, overcoming, or transforming it.

Time as a Finite Sequence: The conception that time advances along a continuous and finite line, marked by past, present, and future. This is the dominant idea in the philosophy of human experience, as in Aristotle and Husserl.

Chronological Time: Linear, measurable time in which events unfold sequentially according to physical laws. Both Deleuze and Bergson contrast it with other ways of experiencing time.

Time:(1) In the classical conception, it is the finite, dynamic flow limited to human experience. According to the TIE, time is an ever-evolving process actively linked to life and creation.
(2) In the TIE, time is not a preexisting, independent structure but an active product of life. It is generated and destroyed with every vital act and is a dynamic creation in opposition to eternity.

Postmortem Transition: The idea that death is not an abrupt end but a change in how a person’s life influences the world. In Butler, this transition manifests in collective memory; in the TIE, it is reflected in the infinite time that existence continues to affect.

Transcendent: That which lies beyond the limits of sensory experience or physical reality. The traditional conception of eternity is transcendent, whereas the TIE intertwines it with the temporal.

Transcending the Banality of Time: Harari suggests that human narratives allow people to overcome the triviality of daily life and mere succession of moments, granting a deeper meaning that resists finitude.

Classical Platonic Vision: Platonic philosophical conception in which eternity is a realm of immutable and perfect Ideas, completely separate from time and temporal experience.

Heideggerian Vision of Time: Concept from philosopher Martin Heidegger, who sees time as the horizon of human existence. According to Heidegger, humans are “being-toward-death,” and their relation to time is marked by awareness of finitude.

Walter Benjamin: Philosopher who argued that the reproduction of art transforms temporal experience, allowing access to the eternal through the ephemeral, similar to how the TIE understands the interrelation between time and eternity.

Yuval Noah Harari: Contemporary philosopher and writer, known for Sapiens, where he explores human history and how narratives have been essential to creating meanings and values.

Zeno: Greek philosopher known for his paradoxes, such as Achilles and the tortoise, which explore the nature of motion and infinity—ideas resonating in the TIE’s description of eternity as a perpetually unreachable process.

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