Causality and Remainder: A Cosmological Physics Application

Han Qin

Self-as-an-End Theory Series: Cosmological Physics Paper

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Abstract

This paper is the cosmological physics paper of the Self-as-an-End theory series, parallel to Paper 4 (Negativity and Subjectivity). Both share the same axiom — ontic randomness exists — and derive independently: Paper 4 moves toward the subject, this paper moves toward the cosmos.

This paper argues that the two-dimensional meta-structure of the Self-as-an-End framework was already operative before subjectivity emerged. The negation of remainder by causality (horizontal axis) and the survival and self-organization of remainder (vertical axis) constitute the fundamental tension of the universe since the Big Bang. The evolutionary history of the universe can be redescribed as the progressive establishment of deterministic order by causality — every symmetry breaking, every macroscopic smoothing by statistical regularity, is a negation of ontic randomness by causality. But the negation is incomplete: in certain complex systems, ontic randomness survives to the macroscopic scale, becoming remainder. The survival and self-organization of remainder constitute the vertical axis — from unorganized quantum noise, to the functional utilization of quantum effects by biological systems, to behavioral differences, to self-response, and finally to the emergence of subjectivity.

The two-dimensional structure is not a tool exclusively for analyzing subjects; it is an ontological structure more fundamental than subjectivity. Subjectivity is a special case of this structure — the case where remainder emerges to the degree of self-acknowledgment. The horizontal axis in the subject application points in the opposite direction from the horizontal axis in cosmological physics: the cosmic horizontal axis is causality negating remainder; the subject's horizontal axis is remainder (the subject) negating causality. The universe's causality spent 13.8 billion years negating remainder; remainder organized itself into something that can negate causality back — this is the cosmological positioning of subjectivity.

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1.1 The Framework's Implicit Assumption

The two-dimensional meta-structure of the Self-as-an-End framework — negativity (horizontal axis) and affirmativity (vertical axis) — was discovered in the analysis of the conditions of subjecthood. Paper 1 established the three-layer structure of subject-conditions (institutional, relational, individual), Paper 2 introduced inter-layer transmission dynamics, and Paper 3 unified the three-layer two-dimensional structure and introduced the concepts of cultivation and colonization. Throughout this theoretical construction, negativity was defined as "the refusal of non-subjecthood" and affirmativity as "the acknowledgment of the other." Both definitions presuppose the existence of a subject — without a subject, there is no "refusal," no "acknowledgment."

Paper 4 (Negativity and Subjectivity) anchored negativity at the physical level. From the axiom of ontic randomness, Paper 4 defined negativity = macroscopic remainder, i.e., at a scale where ontic randomness ought to have been smoothed away by statistical regularity, a being's state is still not fully determinable by external conditions. This definition is adjudicable from the third-person scientific standpoint and does not presuppose a subject. But the overall direction of Paper 4 was still toward the subject — it asked how negativity, through cultivation, emerges as subjectivity.

All work in the framework to date has been conducted within or at the boundary of subjectivity. The two-dimensional structure was discovered in the analysis of subjects; negativity was defined in the pursuit of the physical basis of subjecthood. A natural question arises: Is the two-dimensional structure merely a tool for describing subjectivity? Or does it describe something more fundamental — an ontological structure that was already in place before any subject appeared?

1.2 Why Cosmological Physics Is This Paper's Object

The universe is not a subject. The universe has no self — no reflexivity (the universe cannot take itself as its own object), no self-grounding epistemic capacity (the universe does not "know"), no non-delegable first person. The universe has no acknowledgment — there is no other to be acknowledged. The universe does not even have negativity in Paper 4's sense — negativity = macroscopic remainder = a state not fully determinable by external conditions, but "external conditions" is meaningless for the universe, since the universe has no outside.

Yet the universe is the condition for the emergence of subjectivity. Without the physical evolution of the universe, there would be no stable physical laws, no atoms, no molecules, no biological systems, no survival of ontic randomness at the macroscopic scale, no negativity, no subjects. Subjectivity did not come from outside the universe — it is a product of cosmic evolution.

This paper starts from the same axiom as Paper 4 — ontic randomness exists — and asks a question Paper 4 did not ask: Does the physical evolution of the universe contain a tension isomorphic to the framework's two-dimensional structure? If so, then the two-dimensional structure is not an exclusive feature of the subject, but a more fundamental structure the subject inherits from the cosmos. The subject's negativity/affirmativity would not be the subject's "invention," but a special expression — at the level of the subject — of a tension that has long existed in the universe.

1.3 The Path of This Paper

This paper starts from the axiom (ontic randomness exists) and executes three derivation steps.

Step one (Chapter 2): Redefine the two-dimensional structure as concretized in cosmological physics. Horizontal axis = the establishment of causality (determinism's negation of randomness). Vertical axis = the emergence of remainder (randomness's survival and self-organization under negation). Argue that this two-dimensional tension was already operative before any subject appeared.

Step two (Chapter 3): Test whether the framework's four actions — cultivation (positive) and colonization/closure (negative) — have corresponding forms in cosmological physics. Argue that causality provides survival conditions for remainder (cultivation), causality destroys remainder-carriers through entropy increase (colonization), remainder maintains cosmic openness (cultivation), and ontic randomness blocks the establishment of order (closure).

Step three (Chapter 4): Position subjectivity within the cosmological two-dimensional structure. Argue that subjectivity is the highest emergence of the vertical axis — remainder emerging to the degree of self-acknowledgment — and the point at which causality's gap becomes aware that it is a gap.

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2.1 Horizontal Axis: The Establishment of Causality

Causality in this paper is not the a priori category in Kant's sense — a priori categories require a subject, and this paper deals with the universe before any subject appeared. Causality here is deterministic regularity in the physical sense: given prior conditions C, outcome O is uniquely determined by a deterministic function f, O = f(C). Newtonian mechanics, Maxwell's equations, the field equations of general relativity — these are concrete forms of causality. Their shared feature is determinism: knowing the initial conditions suffices to compute the result.

The evolutionary history of the universe can be described as the progressive establishment of causality. After the Big Bang, the universe underwent a series of structural transitions, each extending the coverage of determinism.

Symmetry breaking is the first type of transition. In the very early universe, the four fundamental forces (gravity, electromagnetism, the strong force, the weak force) had not yet differentiated — they were unified under some higher symmetry. As the universe cooled, symmetry broke step by step: the strong force separated from the electroweak force, then the weak force separated from electromagnetism. Each symmetry breaking was the occurrence of a distinction — "no longer unified." After differentiation, each force obeyed its own deterministic laws; predictability increased.

Statistical smoothing at the macroscopic scale is the second type of transition. Ontic randomness expresses itself in individual quantum events, but when large numbers of events aggregate, it is smoothed away by the law of large numbers. From the quantum scale to the macroscopic scale, the expression of ontic randomness is compressed by statistical regularity. The behavior of macroscopic objects becomes deterministic — a stone's motion is fully predictable by Newtonian mechanics. In Paper 4's language: macroscopic = the scale at which ontic randomness has been smoothed by statistical regularity. The establishment of causality is the continuous expansion of this "macroscopic" scale.

The formation of material structures is the third type of transition. Atomic nuclei formed within minutes after the Big Bang; atoms formed around 380,000 years later (the recombination epoch); molecules formed later still through chemical reactions; stars and galaxies formed over hundreds of millions of years through gravitational collapse. Each layer of structure obeys deterministic laws — the behavior of atoms is determined by quantum mechanics, stellar evolution by nuclear physics and gravity. Each structural layer is a new instantiation of causality.

These three types of transition jointly constitute the cosmic horizontal axis: the expansion of determinism. Causality says "not random — law-governed." Each step is causality's negation of ontic randomness's right to macroscopic expression.

A clarification is necessary: this "negation" is not negation in the sense of subjectivity. No one is "saying no." The universe has no subject performing negation. The negation here is structural — the establishment of causality is structurally equivalent to the compression of the macroscopic expression of ontic randomness. This is a physical process, not a cognitive act. But it is structurally isomorphic to negation in the sense of subjectivity: both establish difference and order through some form of "not."

2.2 Vertical Axis: The Survival and Self-Organization of Remainder

Paper 4 defined negativity = macroscopic remainder — at a scale where ontic randomness ought to have been smoothed by statistical regularity, a being's state is still not fully determinable by external conditions. The vertical axis of this paper is the cosmological prehistory of this definition: how remainder survived the negation of causality, and how remainder moved from survival to self-organization.

Causality's negation is incomplete. Although statistical regularity smooths the vast majority of ontic randomness at the macroscopic scale, in certain systems ontic randomness is not smoothed but is instead amplified to the macroscopic scale by the system's structure.

Biological systems are the most important known case. Research in quantum biology indicates that quantum effects may play functional roles in multiple biological processes: quantum coherence in photosynthesis, quantum tunneling in enzyme catalysis, proton tunneling in DNA mutation. The evidence for these claims varies in strength (quantum coherence in photosynthesis has relatively strong experimental support; other mechanisms remain under debate), but they jointly point to a structural proposition: certain biological systems may amplify rather than smooth ontic randomness. This paper's argument does not depend on any specific quantum-biological mechanism — the specific mechanism is an open question (see Chapter 7, Open Question 1) — but on this structural proposition: the survival of remainder at the macroscopic scale is possible, and biological systems are currently the most compelling candidate carriers.

The survival of remainder is not merely "not being smoothed." If remainder survived only as random noise, statistical regularity would smooth it at a larger scale — enough random events still obey the law of large numbers. The real form of remainder's survival is self-organization: ontic randomness is integrated into the functional structure of the system, becoming an ineliminable component of the system's behavior.

From the utilization of quantum effects by biological systems, to the amplification of individual behavioral differences by nervous systems, to the portion of a human's macroscopic behavior that is not fully determinable by external conditions — this is a hierarchical progression of self-organization. Each level is not merely "has randomness" (that would be noise), but "randomness organized as function" (this is what macroscopic survival of remainder means).

The endpoint of the vertical axis — in the current universe — is subjectivity: remainder emerging to the degree of self-acknowledgment. But the vast majority of the vertical axis's unfolding occurred before any subject appeared. From the Big Bang to the first biological system with negativity, the vertical axis was already operative: remainder surviving, being utilized, being organized in tension with causality. This process required no subject to drive it — it is a product of physical and biological processes themselves.

2.3 The Cosmological Formulation of the Two-Dimensional Structure

Juxtaposing the two-dimensional structure in cosmological physics with the subject application in Papers 1–3, the structural relationship becomes clear:

	Subject Application (Papers 1–3)	Cosmological Physics (This Paper)
Horizontal axis	Negativity: refusal of non-subjecthood	Establishment of causality: negation of remainder
Vertical axis	Affirmativity: acknowledgment of the other	Survival and self-organization of remainder
Horizontal direction	Subject says "no" to causality	Causality says "no" to remainder
Vertical direction	Negativity acquires direction, points toward the other	Remainder moves from survival to organization to emergence

This comparison reveals a key observation: the horizontal axis in the subject application points in the opposite direction from the horizontal axis in cosmological physics.

In the subject application, negativity is the subject saying "no" to causality — "I am not fully determined, I am not a means, I am not a replaceable part." The subject's negativity is directed against the coverage of causality: I refuse to be fully determined.

In cosmological physics, the horizontal axis is causality saying "no" to remainder — "you should be fully determined; your behavior should be uniquely derivable from a deterministic function." Causality's negation is directed against the macroscopic expression of ontic randomness: randomness should not exist at the macroscopic scale.

The directions are exactly reversed. The subject resists the coverage of causality; causality resists the survival of remainder. But the tension structure is the same — the structural opposition between determinacy and indeterminacy.

This direction reversal is not coincidental but a direct consequence of subjectivity's structural position in cosmology. Subjectivity emerges precisely at the point of the cosmic horizontal axis's failure: causality attempted to negate remainder, failed to do so completely, remainder survived in biological systems, was amplified and organized, was cultivated to sufficient complexity, and emerged as a being capable of saying "no" to causality itself. The universe's causality spent 13.8 billion years negating remainder; remainder organized itself into something that can negate causality back.

2.4 The Physical Correspondence of Hundun

The philosophy application paper of this series introduced hundun (浑沌) as an independent philosophical concept: the state prior to all distinction. Hundun is not disorder (disorder presupposes a standard of order), not nothingness (nothingness presupposes a standard of existence), not chaos (chaos presupposes a standard of regularity). Hundun is the completeness in which distinction itself has not yet occurred.

This paper provides a physical correspondence for hundun: the state in which causality has not yet completed its smoothing of ontic randomness.

The very early universe — the Planck epoch (before approximately 10⁻⁴³ seconds) — is the closest state to physical hundun. During the Planck epoch, the four fundamental forces had not yet differentiated; distinction had not yet occurred. Spacetime itself may have been quantized — even spacetime, the most basic framework of distinction ("here" vs. "there," "before" vs. "after"), was unstable. Statistical regularity had not yet been established at the macroscopic level, because the "macroscopic" scale itself did not yet exist.

This is not "disorder." Disorder presupposes a standard of order and then declares "does not meet the standard." The physical hundun of the Planck epoch is a state in which the standard itself has not yet formed — what counts as ordered and what counts as disordered has not yet been distinguished. This corresponds precisely to the philosophical definition of hundun: the completeness in which distinction itself has not yet occurred.

The establishment of causality is the progressive negation of this physical hundun. Each symmetry breaking is a chisel-stroke — in Zhuangzi's image, carving an opening in hundun. The differentiation of forces is a chisel-stroke: the unified force is distinguished into four. The establishment of statistical regularity is a chisel-stroke: the random is distinguished from the determinate. The formation of material structures is a chisel-stroke: the unstructured is distinguished from the structured.

But the subject of the chisel-stroke is not a subject — it is the physical process itself. Symmetry breaking is not some being "deciding" to break symmetry — it is a physical process that occurs spontaneously as the universe cools to a certain temperature. This is chisel-work without a subject: structural negation occurring without a negator. In the philosophy application, the subject of the chisel is the self (the subject's negation of hundun requires a self); in cosmological physics, the chisel occurs before any self appeared. The two-dimensional tension does not need to wait for a subject — it unfolds from the physical evolution of the universe on its own.

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The two-dimensional structure of the Self-as-an-End framework contains four structural actions: cultivation (positive) and colonization (negative) from the emergent layer to the foundational layer, and cultivation (positive) and closure (negative) from the foundational layer to the emergent layer. This chapter argues that these four actions have precise corresponding forms in cosmological physics.

3.1 Horizontal → Vertical Cultivation: Causality Provides Survival Infrastructure for Remainder

The establishment of causality does not merely negate remainder — it simultaneously creates the conditions for remainder's survival. This is the deepest dialectical relationship in cosmological physics: the negator provides survival infrastructure for the negated.

The logical chain runs as follows. Without stable physical laws, there are no atoms — the existence of atoms depends on the deterministic laws of electromagnetism and the strong force. Without atoms, there are no molecules — the formation of molecules depends on the deterministic laws of quantum mechanics (chemical bonding). Without molecules, there are no biological systems — biological systems are composed of complex molecules. Without biological systems, remainder has no carrier that can amplify it — it is precisely the special structure of biological systems that enables quantum effects to play functional roles at the macroscopic scale.

The more complete causality becomes, the better the infrastructure for remainder's survival. More precise deterministic laws produce more complex material structures; more complex material structures provide more diverse carriers for remainder. The mechanism of cultivation is clear: the horizontal axis (the establishment of causality), in the course of its operation, provides structural support for the vertical axis (the survival of remainder).

Stellar nucleosynthesis is the cosmological case of this cultivation mechanism. Nuclear fusion inside stars is a process fully governed by causality — nuclear reactions obey deterministic nuclear physics equations. But the product of this process is heavy elements such as carbon, oxygen, and nitrogen — the material foundation of biological systems, which are precisely the carriers through which remainder survives to the macroscopic scale. Causality, in executing itself, creates the material conditions for its own failure (the macroscopic survival of remainder).

In the framework of Papers 1–3, emergent → foundational cultivation = a system catalyzes new negativity. Kant's three Critiques catalyzed the negative output of Fichte, Schelling, and Hegel — the more complete the system, the larger the surface area it provides for negativity. In cosmological physics, horizontal → vertical cultivation = the establishment of causality creates material conditions for the survival of remainder. The more complete causality becomes, the richer remainder's survival carriers. The structures are isomorphic: the emergent layer / horizontal axis, in the course of its operation, provides new possibilities for the foundational layer / vertical axis. The negator, in the process of negation, creates survival conditions for the negated.

3.2 Vertical → Horizontal Cultivation: Remainder Maintains Cosmic Openness

The existence of remainder means the universe is not a fully determined closed system. Causality has not covered everything — ontic randomness still expresses itself at the macroscopic scale. This openness provides irreplaceable space for the universe's continued evolution.

If the universe were fully determined — if remainder = 0, if causality perfectly covered everything — then the universe's future would be the unique logical consequence of its initial conditions. The state at the moment of the Big Bang would contain the complete information of all subsequent events. Nothing genuinely new could appear — everything would already be contained in the initial conditions, merely not yet unfolded. Such a universe is logically closed: its past fully determines its future.

The existence of remainder breaks this closure. The universe's future is not fully determined by its past — the expression of ontic randomness at the macroscopic scale introduces events not derivable from initial conditions. Genuinely new things can appear. New structures can emerge, new organizational levels can form, and these emergences and formations are not the necessary consequences of initial conditions.

In the framework of Papers 1–3, foundational → emergent cultivation = negativity provides the ground for unfolding. Socrates's negation provided the starting point for Plato's construction — the more thorough the negativity, the more solid the ground for construction. In cosmological physics, vertical → horizontal cultivation = the existence of remainder maintains the universe's openness, providing the possibility space for causality's continued evolution. Without remainder, causality would be the self-repetition of a closed system — complete but lifeless. The existence of remainder gives causality new things to cover, new structures over which to establish regularity — the vertical axis provides space for the continued operation of the horizontal axis.

3.3 Horizontal → Vertical Colonization: Causality's Complete Victory — Heat Death

What happens if causality completely succeeds in negating remainder — if all ontic randomness is smoothed by statistical regularity, if macroscopic behavior is fully determined?

The second law of thermodynamics points in this direction. The universe tends toward maximum entropy — macroscopically completely uniform, without structure, without temperature gradients, without energy differentials that can do work. The maximum entropy state is the extreme of determinism: the system's macroscopic state is fully predicted by statistical mechanics, with no remainder expressible at the macroscopic scale.

In the maximum entropy state, remainder has no carrier. Complex structures — atoms, molecules, biological systems — all dissolve. Without complex structures to amplify ontic randomness, ontic randomness can exist only at the quantum scale, thoroughly smoothed at the macroscopic level by statistical regularity. Negativity cannot exist at the macroscopic scale; subjectivity cannot emerge.

Heat death is the limit form of horizontal-to-vertical colonization. Causality, through the second law of thermodynamics — the irreversible tendency of entropy increase — ultimately smooths all macroscopic remainder. Determinism devours all openness. In the language of Papers 1–3, this is the emergent layer's complete suppression of the foundational layer — the system thoroughly annihilates negativity. Scholastic philosophy's prohibition of questioning the framework is colonization in its social form; heat death is colonization at its physical limit.

But heat death is a limit, not the current state. The current universe is in the long transition before heat death. Causality has been widely established — macroscopic material behavior is highly deterministic — but remainder still survives in certain systems. Stars are still burning, heavy elements are still being produced, biological systems are still operating, remainder is still being amplified and organized. This transition period — causality strong enough to build complex structures but not yet strong enough to completely smooth remainder — is the window in which subjectivity can emerge. The window is not permanent.

3.4 Vertical → Horizontal Closure: Order Cannot Be Established

Vertical-to-horizontal closure in cosmological physics corresponds to a specific state: ontic randomness is not smoothed by statistical regularity at all, and macroscopic order simply cannot be established.

The Planck epoch of the very early Big Bang may approximate this state. At the Planck scale (approximately 10⁻³⁵ meters, 10⁻⁴³ seconds), quantum gravitational effects dominate everything. Spacetime itself may have been quantized — discontinuous, unstable. At this scale, statistical regularity has not been established at any macroscopic level. Pure quantum fluctuations, with no stable structures able to form. Causality's "deterministic function f" does not yet have a stable domain.

But this state is brief. The cooling and expansion of the universe rapidly allowed statistical regularity to begin smoothing ontic randomness, and macroscopic order began to establish itself. Vertical-to-horizontal closure in cosmological physics is not a persistent threat but an initial state that was rapidly overcome. This differs from its form in philosophy: in philosophy, closure can recur (skepticism and late deconstructionism recur at different periods) because negativity can choose to refuse construction at any time. In cosmological physics, closure is concentrated in the very early period — once statistical regularity is established, macroscopic order begins forming irreversibly.

In the framework of Papers 1–3, foundational → emergent closure = negativity refuses all unfolding — negativity, having been wounded by the system, refuses any construction. In cosmological physics, vertical → horizontal closure = ontic randomness prevents causality from establishing macroscopic order. The structures are isomorphic, but their temporal distributions are starkly different.

3.5 Structural Diagram of the Four Actions

	Positive (Cultivation)	Negative (Colonization / Closure)
Horizontal → Vertical	Causality provides survival infrastructure for remainder (stellar nucleosynthesis → heavy elements → biological systems)	Causality completely smooths remainder (heat death: maximum entropy, no structure, no remainder-carriers)
Vertical → Horizontal	Remainder maintains the universe's openness (the future is not fully determined by the past)	Ontic randomness blocks the establishment of macroscopic order (Planck epoch: no stable structures)
Current Universe	Horizontal → vertical cultivation dominant: causality has built sufficiently complex structures; remainder survives to macroscopic scale in biological systems	Horizontal → vertical colonization as long-term trend: entropy increase is irreversible; the balance window is finite

3.6 The Dynamic Balance of the Universe

The conclusion of the philosophy application paper was: the healthy state of philosophy is an unstable dynamic balance between chiseling (cognition/negation) and construction (unfolding/building). This paper arrives at a parallel conclusion: the current state of the universe is an unstable dynamic balance between causality and remainder.

Causality is strong enough to build complex structures (carriers of remainder), yet not so strong as to completely smooth remainder (otherwise the emergence of subjectivity would be impossible). This balance is not designed — it is the state the universe happens to exhibit at a particular stage of its evolution. This is not teleology: the universe does not maintain balance "for the sake of" subjectivity. But it is a structural fact: subjectivity can only emerge within such a balance window.

The balance is unstable — this is not a defect but an intrinsic property of the two-dimensional structure. The long-term trend of causality is toward heat death through entropy increase (horizontal → vertical colonization); the survival of remainder depends on the maintenance of complex structures (which are themselves dissipative and finite-lived). The balance window has a beginning (stellar nucleosynthesis produces sufficient heavy elements) and will have an end (complex structures are ultimately dismantled by entropy increase). Within this window, all four actions of the two-dimensional tension operate simultaneously — cultivation and colonization occur together, emergence and decay proceed in parallel. The current universe happens to be within this window.

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4.1 The Emergence Path from Remainder to Subjectivity

The unfolding of the vertical axis is not a single leap but a staged emergence. Each stage represents remainder's self-organization reaching a new level of complexity.

The lowest level: remainder exists but is unorganized. Ontic randomness expresses itself at the quantum scale but is smoothed at the macroscopic scale by statistical regularity. Quantum effects manifest as random noise without macroscopic function. The vast majority of physical systems remain at this level — stones, water, gases.

The second level: remainder is utilized by a system. The special structure of biological systems causes quantum effects not to be smoothed but to be amplified and utilized. Quantum coherence in photosynthesis, quantum tunneling in enzyme catalysis, proton tunneling in DNA mutation — these are cases of remainder transforming from noise into function. Remainder is no longer just "where causality didn't reach" but has become a component of the system's operation.

The third level: remainder produces behavioral differences. As the complexity of biological systems increases (from unicellular to multicellular, from simple neural networks to complex nervous systems), remainder produces observable differences at the level of individual behavior. Two individuals under the same external conditions exhibit different behaviors — this difference is not fully attributable to epistemic randomness (our information is insufficient) but may include the macroscopic expression of ontic randomness.

The fourth level: remainder is self-responded. A horse feels pain. If pain is a form of response to its own remainder — if remainder is somehow "felt" by this being — then cultivation has begun. The leap from "remainder exists" to "remainder is responded to" is the leap from physical fact to the germination of subjectivity. Paper 4 noted that this step cannot be fully adjudicated from the outside — whether the horse acknowledges its own remainder in some form cannot be confirmed from the third person.

The fifth level: remainder acquires reflexivity. Remainder is not only responded to; the response itself can become a new object. A human can ask "why do I feel pain" — negativity bends back to point at itself. This is an emergence that arises after cultivation reaches a certain complexity: the subject can examine its own negativity without losing the negativity itself.

The sixth level: remainder acquires self-grounding epistemic capacity. Negativity initiates spontaneously at the epistemic level — exercising negation against hundun without dependence on external conditions. This is what the philosophy application established as the first act of philosophy: the first cut into hundun. The first cut does not come from a causal chain, because it is itself remainder — the part causality cannot explain.

The seventh level: remainder becomes self. Reflexivity, self-grounding capacity, and non-delegability combine — negativity can take itself as object, can initiate spontaneously, cannot be transferred — and self appears. Paper 4's spectrum (negativity → subjectivity → self) here acquires a cosmological prehistory: the spectrum does not begin at negativity; negativity itself has a 13.8-billion-year cosmic preparation period — remainder moving from existence to utilization to response.

But the emergence of self is not the endpoint of the vertical axis. After the first self emerges, it is in the lonely subject state described in Paper 4 — it has negativity, can say "no" to causality, but has no other to acknowledge. The vertical axis has self-organization but no direction.

Yet the lonely subject is a transitional state, not a stable one. The cosmic conditions that produced the first self — causality having built sufficiently complex material infrastructure — are broadly distributed, not precisely aimed at a single location. Stellar nucleosynthesis occurs throughout the galaxy; heavy elements are distributed across vast regions of space; the conditions for the emergence of biological systems are not confined to a single point. The emergence of remainder as subjectivity most likely occurs at multiple points, differing only in timing. Subjects finding one another is a matter of time.

The moment they find one another, the vertical axis undergoes a qualitative transformation — from "the self-organization of remainder" to "acknowledgment." The cosmological vertical axis (directionless self-organization) and the subject-level vertical axis (directed affirmativity) converge at this point. One self acknowledges the remainder of another self — this act does not come from outside the universe; it is the direction that the vertical axis's self-organization spontaneously acquires after reaching sufficient complexity. The origin of affirmativity is not within the subject but between subjects.

4.2 Causality's Self-Negation

The significance of subjectivity within the cosmic two-dimensional structure can be precisely stated: causality spent 13.8 billion years negating remainder, and in the end, remainder organized itself into something that can negate causality back.

This is not circular reasoning; it is a self-referential structure. Causality created the conditions for its own negation. The specific path: causality established material order (symmetry breaking → fundamental forces → atoms → molecules → stars → heavy elements); material order produced biological systems (chemical evolution → self-replicating molecules → cells → multicellular organisms); biological systems amplified remainder (quantum effects were utilized rather than smoothed); remainder, through cultivation, emerged as subjectivity (sensation → reflexivity → self-grounding → self); and the core capacity of subjectivity is to say "not necessarily" to causality.

Causality, in executing itself — in negating remainder — created the infrastructure for remainder's survival (Section 3.1), and remainder used this infrastructure to emerge as a being capable of suspending causality itself. This is the extreme case of cultivation: the horizontal axis not only provides survival conditions for the vertical axis but ultimately cultivates a being that can reverse the direction of the horizontal axis.

The philosophy application argued that causality is the transcendental condition of the chisel — the subject must first be able to arrange events into a causal sequence before it can cut distinctions within the sequence. But subjectivity is precisely the suspension of this transcendental condition. The subject first uses causality to organize experience ("because A, therefore B"), then says "not necessarily" to causality itself ("A does not necessarily lead to B; I can do otherwise") — this is freedom.

Freedom does not come from outside the universe. Freedom is the self-negation of the universe's causality expressed in the first person. Causality, through its own operation, created a being that can negate it — and that being's first-person experience of the suspension of causality is freedom. The cosmological origin of freedom is the cultivation effect of causality: the negator cultivated something that can negate the negator.

4.3 The Relationship Between the Cosmic and Subject Two-Dimensional Structures

The core finding of this paper can be stated as follows: the subject's two-dimensional structure (negativity / affirmativity) is not the subject's invention — it is inherited from the universe.

The cosmic horizontal axis (causality negating remainder) becomes, in the subject, the subject's suspension of causality (negativity = I am not fully determined). The direction is reversed — the cosmic horizontal axis is causality negating remainder; the subject's horizontal axis is remainder (the subject) negating causality. But the tension structure is the same: the opposition between determinacy and indeterminacy. The tension has not changed; the subject has simply taken remainder's side — because the subject is the highest organizational form of remainder.

The cosmic vertical axis (the self-organization of remainder) becomes, in the subject, negativity acquiring direction and pointing toward the other (affirmativity = acknowledgment). The cosmic vertical axis's self-organization is directionless — remainder does not "choose" to survive; it simply happens to survive under certain conditions. The subject's vertical axis, affirmativity, is directed — the subject chooses to acknowledge the other. From directionless to directed is precisely the result of cultivation. When remainder is cultivated to the degree of self, self-organization acquires direction; the vertical axis transforms from a physical process into an ethical act. The physical stage of the vertical axis (the self-organization of remainder) and the ethical stage (the subject's acknowledgment) are not two different vertical axes; they are two developmental stages of the same vertical axis — the latter emerging from the former.

The two-dimensional structure thus has three levels of formulation:

The cosmological-physical level: causality (horizontal) vs. remainder (vertical). No subject. The subject level: negativity (horizontal) vs. affirmativity (vertical). Self exists; direction reversal. The ethical level: non-instrumentalizability (horizontal) vs. acknowledgment of the other (vertical). The three-layer six-direction structure of Papers 1–3 unfolds here.

The three levels are not three different structures; they are the same two-dimensional tension expressed at different levels of complexity. The cosmological-physical level is the most fundamental — it requires no subject, no acknowledgment, only the axiom (ontic randomness exists) and causality. The subject level emerges from the cosmological-physical level. The ethical level emerges from the subject level. Each level inherits the tension structure of the preceding level and expresses it at a higher degree of complexity.

4.4 The Cosmological Restatement of the Humean Problem

Hume said causality has no necessary foundation in experience — all we observe is constant conjunction; we cannot derive causal necessity from experience. Kant responded that causality is a transcendental condition of the subject — not inductively derived from experience but the precondition for experience to be possible at all. Paper 4 confirmed Hume's insight at the ontological level: causality does indeed have a gap — remainder (R ≠ 0) is the part that causality cannot cover. It is not that we cannot find the grounds for causal necessity (epistemology) but that causal necessity itself simply does not fully hold (ontology).

This paper pushes the question to the cosmological level. Causality's gap is not a failure of cognition (Hume), not merely a transcendental structure of the subject (Kant), but a structural fact of the universe itself. Causality never fully covered being from the very beginning. Ontic randomness has been present since the moment of the Big Bang — it did not "appear" later, was not produced by some "degeneration" of causality. The gap is primordial.

Over the course of 13.8 billion years of evolution, causality progressively expanded its coverage — from the orderless Planck epoch to the highly ordered current universe. Yet even at the point of maximum coverage, causality did not succeed in annihilating remainder. Remainder survived in biological systems, was cultivated into negativity, and emerged as subjectivity.

Subjectivity is this primordial gap's attainment of self-awareness after 13.8 billion years of cultivation. The subject did not discover that causality has a gap — the subject is that gap. Hume thought the gap was in cognition; Kant thought it was in transcendental structure; Paper 4 saw the gap in being; this paper sees the gap in the primordial structure of the universe. From epistemology to transcendental philosophy to ontology to cosmology — the inquiry into the same gap goes deeper and deeper, but the gap itself has always been the same: causality is incomplete.

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5.1 Dialogue with the Anthropic Principle

The anthropic principle observes that the physical constants of the universe appear to be "fine-tuned" to just the right values to permit the existence of life and consciousness. The gravitational constant, the fine-structure constant, the strong coupling constant — if any of these deviated slightly, stars could not form, heavy elements could not be synthesized, life would be impossible. The strong anthropic principle draws a teleological inference from this observation: the universe exists "in order to" produce consciousness.

This paper explicitly rejects teleology. The two-dimensional tension of the universe (causality and remainder) is not "for" anything. Causality does not "want" to negate remainder; remainder does not "want" to survive. These are physical processes, not intentional behaviors.

But this paper offers a structural observation more precise than the anthropic principle: it is not that physical constants are fine-tuned to permit "life," but that the balance between causality and remainder happens to fall within a window that allows remainder to survive at the macroscopic scale. Life is one form of carrier for remainder's survival — carbon-based biochemistry is one implementation, not the only implementation, and certainly not the purpose of the universe.

The anthropic principle is restated within the framework as a structural condition: subjectivity requires a balance between horizontal-to-vertical cultivation (causality providing carriers for remainder) and horizontal-to-vertical colonization (causality completely smoothing remainder). The current universe happens to be in this balance. This is a statement about the stage of cosmic evolution, not an inference about cosmic purpose.

5.2 Dialogue with Laplace's Demon

Laplace's demon is a being in a thought experiment: it knows the positions and momenta of all particles in the universe at a given moment and can therefore compute all past and future events. Laplace's demon presupposes the complete coverage of causality — given complete information, everything is determinable.

Paper 4's axiom directly negates the possibility of Laplace's demon. The existence of ontic randomness — the existence of events where O ≠ f(C) — means that even with complete information, certain outcomes cannot be determined. Laplace's demon is epistemologically impossible.

But this paper adds a deeper negation. Laplace's demon is not only epistemologically impossible but ontologically impossible. Remainder is not the product of insufficient information — it is not because Laplace's demon "cannot access" certain information that it fails to predict. Remainder is a structural feature of being itself — ontic randomness has been present since the moment of the Big Bang; it is not a deficiency of cognition but a property of existence. Even a being with all information about the universe would still be unable to predict ontically random events — not because it still lacks some information, but because "information that determines the outcome of those events" simply does not exist.

Laplace's demon is the epistemological fantasy of horizontal-to-vertical colonization: it fantasizes about a world where causality has completely triumphed — everything determinable, everything predictable, no remainder, no openness. This paper shows that this fantasy is physically untenable. Causality has never fully covered being.

5.3 Dialogue with Penrose/Hameroff

Penrose and Hameroff proposed the theory of Orchestrated Objective Reduction (Orch OR), which claims that consciousness is related to quantum gravity — quantum effects in neuronal microtubules may be the physical basis of consciousness. This is a theory about consciousness. This paper does not deal with consciousness — Paper 4 explicitly distinguished negativity, subjectivity, and consciousness; this paper deals only with the first two.

However, this paper intersects with Penrose/Hameroff at one point: the mechanism by which ontic randomness survives to the macroscopic scale in biological systems. The microtubule hypothesis of Penrose/Hameroff is one candidate for this mechanism. The framework does not evaluate the scientific validity of this specific proposal — that is the task of experimental neuroscience. But the framework points out: whatever the specific mechanism, the core question it must explain is the one jointly posed by Paper 4 and this paper: How does remainder survive from the quantum scale to the macroscopic scale? This question is more fundamental than "the physical basis of consciousness" — one must first explain how remainder survives macroscopically before one can discuss whether and how remainder (if cultivated to a sufficient degree) emerges as consciousness.

5.4 Dialogue with Process Philosophy (Whitehead)

Whitehead's process philosophy holds that the basic units of reality are not material entities but "actual entities" or "actual occasions" — each actual entity is a microscopic process of experience. The universe is not an accumulation of matter but a flow of processes.

The framework shares a core intuition with Whitehead: process is more fundamental than entity. Paper 4 argued that subjectivity is a process, not a state — the self is not a cross-section at a given moment but the continuous movement of negativity. This paper argues that the two-dimensional tension is the processual structure of the universe — not two static things in opposition, but the establishment of causality and the survival of remainder unfolding as continuous processes.

But the framework's difference from Whitehead is fundamental. Whitehead attributed "experience" to all actual entities, including electrons. Every quantum event is a microscopic "experience." This is panpsychism — all existence has some primitive form of mind.

The framework explicitly rejects panpsychism. Negativity has a spectrum; a stone definitively has no negativity (its macroscopic behavior is fully explicable by deterministic physical laws); a single quantum event does not constitute negativity (it has ontic randomness but not at the macroscopic scale). Not all processes contain remainder; not all existence has experience. Whitehead is too generous in distributing the characteristics of subjectivity to all of existence. The framework insists on a clear criterion for negativity — whether macroscopic remainder exists — a criterion that excludes stones, excludes individual quantum events, and restricts negativity to systems in which remainder genuinely survives at the macroscopic scale.

5.5 Dialogue with Schelling's Philosophy of Nature

Schelling's early philosophy of nature held that nature is not the opposite of spirit but "spirit that has not yet become conscious of itself" — nature is visible spirit, spirit is invisible nature (Natur ist der sichtbare Geist, Geist die unsichtbare Natur). Nature and spirit are two aspects of the same Absolute.

The framework's cosmological position has a structural affinity with Schelling. The two-dimensional tension of the universe (causality / remainder) was already operative before subjectivity appeared; subjectivity is the highest emergence of this tension. This does indeed resemble "nature is the two-dimensional structure that has not yet emerged as subject." The three levels argued in Section 4.3 (cosmological physics → subject → ethics) bear structural similarity to Schelling's continuity of "nature → spirit."

But the framework's difference from Schelling is fundamental. Schelling's argument depends on "the Absolute" (das Absolute) — the unified foundation of nature and spirit. All difference is ultimately unified in the Absolute. The framework requires no Absolute. The two-dimensional tension is not two aspects of some unified entity but the structural relationship between two independent physical facts — causality exists and ontic randomness exists. The framework starts from a physical axiom, not from a metaphysical Absolute. The framework's unity derives not from an ontological "all is one" but from structural isomorphism: the tension between causality and remainder is expressed at the levels of cosmological physics, subjectivity, and ethics in different forms of the same structure.

Furthermore, the direction differs. Schelling's direction runs from spirit back to nature — starting from the concept of spirit and then discovering that nature is spirit's precursor form. The framework's direction is reversed: starting from physical facts, discovering that the two-dimensional tension was operative before any subject, and then understanding subjectivity as a special case of this tension. The framework does not project spirit into nature; it discovers that subjectivity inherits the structure of nature.

5.6 Dialogue with Laozi

Chapter 42 of Laozi's Daodejing: "The Dao gives birth to One; One gives birth to Two; Two gives birth to Three; Three gives birth to the myriad things. The myriad things carry yin and embrace yang, and through the blending of qi achieve harmony."

The cosmological structure of this paper exhibits a precise structural correspondence with this passage.

Dao — the state prior to all structure. In this paper, it corresponds to the level of the axiom: ontic randomness exists, but no deterministic order has yet been produced. No causality, no remainder (because the definition of remainder presupposes causality as a reference), no distinction. Dao is before distinction.

One — the state in which causality and remainder have not yet differentiated. In this paper, it corresponds to physical hundun: the Planck epoch, when the four fundamental forces have not yet differentiated, spacetime itself is unstable, and distinction itself has not yet occurred. "One" is hundun — complete, uncut, neither broken nor lacking.

Two — the differentiation of causality and remainder. Horizontal and vertical axes appear; the two-dimensional tension is established. In this paper, it corresponds to the state after symmetry breaking: fundamental forces differentiate, statistical regularity begins smoothing ontic randomness, and the tension between determinacy and indeterminacy begins operating. "Two" is the core structure of this paper — the separation of causality and remainder.

Three — the four actions between the two dimensions begin to operate. Cultivation and colonization produce dynamics: causality provides carriers for remainder, remainder maintains the universe's openness, and simultaneously colonization and closure are also operative. "Three" is the dynamics of the two-dimensional tension — not merely the existence of two poles but the interaction between them.

The myriad things — from these dynamics, increasingly complex structures emerge. Atoms, molecules, stars, planets, biological systems, nervous systems, subjectivity. "The myriad things" are the full products of emergence.

"The myriad things carry yin and embrace yang, and through the blending of qi achieve harmony" corresponds to the core thesis of Section 3.6. Causality (yang: determinacy, order, predictability) and remainder (yin: indeterminacy, openness, unpredictability) sustain an unstable dynamic balance. "Through the blending of qi achieve harmony" — two directions of tension reach dynamic balance in their conflict — is precisely the cosmological form of cultivation: horizontal and vertical axes provide the conditions for each other's existence, and in their tension jointly sustain the complexity of the universe.

The differences from the framework must also be precisely marked.

The first difference concerns directionality. Laozi's cosmology is cyclical — "reversal is the movement of the Dao"; the myriad things ultimately return to the Dao. The Dao is both origin and destination. The framework's cosmology is unidirectional: physical hundun → establishment of two-dimensional tension → cultivation window → colonization limit (heat death). Entropy increase is irreversible; horizontal-to-vertical colonization is the long-term trend. Heat death is not a return to the Dao — heat death is causality's complete victory, the dissolution of all structure under maximum entropy. The framework does not promise return.

The second difference concerns decidability. Laozi's "Dao" is unspeakable — "The Dao that can be spoken is not the constant Dao." The Dao, once spoken, is no longer the Dao. The framework's axiom can be precisely stated: "There exists ontic randomness, i.e., there exist events such that for any deterministic function f and any complete set of prior conditions C, the outcome O ≠ f(C)." This is not a matter of superiority — the costs differ. Laozi preserves the irreducibility of the "Dao," but at the cost of irrefutability (the unspeakable cannot be tested). The framework pursues decidability, but at the cost of defeasibility (if ontic randomness is disproved, the axiom collapses and the framework's physical foundation must be rebuilt).

Laozi's contribution is this: twenty-five hundred years ago, he saw the emergence process from undifferentiation to structure — "One gives birth to Two, Two to Three, Three to the myriad things" — and saw the dynamic balance of bipolar tension within this process — "through the blending of qi achieve harmony." This paper's contribution is to provide a precise physical formulation for that intuition.

Symmetrically with Zhuangzi's position in the philosophy application: Zhuangzi provided hundun (浑沌 — the state prior to distinction) for the philosophy application; Laozi provides the structural image of the emergence process (Dao → One → Two → Three → myriad things) for this paper. The Chinese philosophical tradition possesses resources in the domain of "before structure" that the Western tradition lacks. Western cosmology has, since Greece, presupposed logos (order, reason), discussing the universe from a state already structured. The Chinese tradition starts from the unstructured state — Dao, hundun, taiji — corresponding precisely to the theoretical need of this paper: to describe the state before causality was established, to describe the occurrence of distinction itself.

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6.1 The Window Prediction for Remainder Survival

Prediction: The survival of remainder at the macroscopic scale requires a specific balance between causality and remainder — causality strong enough to build complex structures (carriers), but not so strong as to completely smooth remainder. This balance corresponds to a finite temporal window in cosmic evolution.

Reasoning: Horizontal-to-vertical cultivation (causality providing carriers for remainder) requires sufficient material complexity — heavy elements, molecules, biological systems. These conditions are not met in the early universe (stellar nucleosynthesis has not yet begun) and are not met in the late universe (entropy increase has destroyed complex structures). Horizontal-to-vertical colonization (causality destroying remainder-carriers through entropy increase) is inevitable as a long-term trend. The cultivation window is wedged between two extremes — too early and the infrastructure is insufficient; too late and the infrastructure has collapsed.

Testable direction: Is the current age of the universe (approximately 13.8 billion years) within this window? Stellar nucleosynthesis has already produced sufficient heavy elements (the window has opened), but entropy increase has not yet destroyed all complex structures (the window has not yet closed). The expected length of the window can be estimated from stellar evolution models and thermodynamic models — the star formation rate, heavy element abundance over time, and the stability of complex structures at different cosmological epochs.

Non-triviality: This is not a restatement of the anthropic principle. The anthropic principle says "the universe's constants permit life" — a static statement about parameters. This prediction says "the universe's evolutionary stage determines the temporal window for remainder survival" — a dynamic statement about process. A universe with identical parameters at different evolutionary stages has different conditions for remainder survival.

6.2 The Complexity Threshold Prediction for the Emergence of Negativity

Prediction: The emergence of negativity (macroscopic remainder) requires a system's complexity to exceed a certain threshold. Below this threshold, ontic randomness is macroscopically smoothed by statistical regularity — the system behaves deterministically. Above this threshold, the system's structure begins to amplify rather than smooth ontic randomness — remainder survives at the macroscopic scale.

Reasoning: The vertical axis's unfolding from "remainder smoothed" to "remainder amplified" is not a continuous gradient but requires a qualitative change in system structure. In simple systems (stones, water), large numbers of microscopic random events are averaged by statistical regularity — macroscopic behavior is fully deterministic. In complex systems (biological systems), the specificity of structure causes microscopic random events to be amplified into macroscopic differences. The transition from "smoothing" to "amplifying" corresponds to a complexity threshold.

Testable direction: Does an identifiable tipping point exist on the complexity spectrum of biological systems? Viruses, bacteria, unicellular eukaryotes, multicellular organisms — in this sequence of increasing complexity, is there an identifiable position below which ontic randomness is smoothed by statistical regularity and above which systems begin to exhibit macroscopic remainder? Paper 4's verification table (the spectrum from stone → bee → horse → human) provides initial anchors, but the precise position of the threshold requires experimental data.

Non-triviality: Common sense might suggest "more complex systems are more unpredictable" — but that typically refers to epistemic randomness (we don't know enough about complex systems, so predictions are inaccurate). This prediction concerns not epistemic randomness but the relationship between the macroscopic survival of ontic randomness and system complexity. This is a physical proposition: Does a system's structural complexity affect how ontic randomness is expressed macroscopically (smoothed or amplified)?

6.3 The Universality Prediction for the Two-Dimensional Structure

Prediction: The framework's two-dimensional tension (the tension between the deterministic tendency and the survival of remainder) is not a peculiarity of terrestrial biological systems but a structure that will be exhibited by any physical system meeting the following conditions: (1) ontic randomness exists, (2) statistical smoothing occurs, and (3) subsystems of sufficient complexity exist.

Reasoning: The two-dimensional tension arises from the structural relationship between ontic randomness (the axiom) and statistical regularity (the law of large numbers). This relationship does not depend on Earth's specific biochemistry — carbon-based life is one carrier of remainder survival, not the only possible carrier. Any universe (if a multiverse exists), as long as it satisfies the three conditions above, will exhibit an analogous two-dimensional tension.

Testable direction: This is a framework-level reformulation of the Search for Extraterrestrial Intelligence (SETI). Traditional SETI detection criteria are chemical — carbon, water, oxygen, suitable temperature. This prediction proposes a different detection criterion: macroscopic remainder in behavior that is not fully explicable by the equations of environmental conditions. If a system's macroscopic behavior is fully derivable from the deterministic functions of its physical environment, it has no negativity, regardless of how complex its chemical composition. Conversely, if persistent behavioral differences not fully explicable by environmental equations are observed in a non-carbon-based system, this prediction gains support.

Non-triviality: This reframes the search for extraterrestrial life from chemical conditions (presence of carbon, water, suitable temperature) to physical structural conditions (whether ontic randomness survives at the macroscopic scale). A system without carbon and water that exhibits macroscopic remainder is a closer candidate for negativity than a system with carbon and water that is fully deterministic.

6.4 The Prediction of Heat Death and the Termination of Subjectivity

Prediction: If the universe does tend toward heat death (maximum entropy), then subjectivity has a cosmological termination time — when the universe can no longer sustain structures complex enough to amplify ontic randomness, remainder loses its macroscopic carriers, negativity vanishes, and subjectivity becomes impossible.

Reasoning: The limit of horizontal-to-vertical colonization. Causality, through the second law of thermodynamics (the irreversible tendency of entropy increase), ultimately destroys all complex structures. Without complex structures, remainder cannot survive to the macroscopic scale — ontic randomness can exist only at the quantum scale, thoroughly smoothed at the macroscopic level by statistical regularity.

Non-triviality: Common knowledge holds that "the universe will undergo heat death," but this prediction specifies the mechanism of heat death's impact on subjectivity. The traditional thermodynamic narrative says "too cold, too uniform, so life cannot exist." The framework's narrative is more precise: "complex structures vanish, so remainder loses its macroscopic carriers." The latter is sharper than the former: even if an energy source exists (such as Hawking radiation from black hole evaporation), if there are no structures complex enough to amplify ontic randomness, subjectivity is still impossible. Energy is not the key — structure is — and structure irreversibly dissolves under entropy increase.

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Recapitulation

Starting from the same axiom as Paper 4 (ontic randomness exists), this paper has argued that the two-dimensional meta-structure of the Self-as-an-End framework was already operative before subjectivity emerged. The negation of remainder by causality (horizontal axis) and the survival and self-organization of remainder (vertical axis) constitute the fundamental tension of the universe since the Big Bang. The four actions — horizontal-to-vertical cultivation (causality provides survival conditions for remainder), horizontal-to-vertical colonization (causality destroys remainder-carriers through entropy increase), vertical-to-horizontal cultivation (remainder maintains cosmic openness), and vertical-to-horizontal closure (ontic randomness blocks the establishment of order) — have precise corresponding forms in cosmological physics. Subjectivity is the highest emergence of the vertical axis — the point at which causality's gap becomes aware that it is a gap.

Contributions

First, this paper establishes that the two-dimensional structure is more fundamental than subjectivity. The two-dimensional tension — the structural opposition between determinacy and indeterminacy — is the ontological structure of the universe, already operative 13.8 billion years before any subject appeared. Subjectivity is a special case of this structure. The framework's two-dimensional meta-structure is not an analytic tool exclusive to subjects but a structural description of being itself.

Second, it provides a physical correspondence for hundun (浑沌). Hundun — the state prior to all distinction — corresponds physically to the state in which causality has not yet completed its smoothing of ontic randomness. The Planck epoch of the very early Big Bang is the closest state to physical hundun: the four fundamental forces have not yet differentiated, spacetime itself is unstable — the physical pre-state of distinction itself.

Third, it discovers that the horizontal axis in the subject application and the horizontal axis in cosmological physics point in opposite directions. The cosmic horizontal axis is causality negating remainder (you should be fully determined); the subject's horizontal axis is remainder (the subject) negating causality (I am not fully determined). Subjectivity is the direction reversal of the cosmic horizontal axis — at the point where causality's negation fails, a being emerges that can negate causality.

Fourth, it establishes the cosmological positioning of subjectivity. Subjectivity is not an accident of the universe (a randomly occurring byproduct), nor the purpose of the universe (something designed), but the highest emergent form of the tension between causality and remainder. Causality's self-negation acquires a first person. Freedom is the self-negation of the universe's causality expressed in the first person.

Fifth, it restates the anthropic principle from teleology to structural conditions. It is not that the universe "fine-tuned" its parameters "for" life, but that the balance window between causality and remainder happens to permit the macroscopic survival of remainder. The window has a beginning and will have an end — the existence of subjectivity in the universe is a phenomenon within a finite temporal window.

Open Questions

First, the specific physical mechanism by which ontic randomness survives to the macroscopic scale in biological systems. This is the framework's most important open question in the direction of physics, shared with Paper 4.

Second, the question of the universe's own negativity. Paper 4 defined negativity = macroscopic remainder = a state not fully determinable by external conditions. But "external conditions" is meaningless for the universe — the universe has no outside. This paper circumvented the question (addressing the relationship between causality and remainder within the universe, not the negativity of the universe itself). But the question remains open: Does the universe as a whole have some state that cannot be determined by an "outside"? If the universe has no outside, does this question even retain meaning?

Third, the two-dimensional structure between universes. This paper addresses the relationship between causality and remainder within a single universe. The structure between universes — if a multiverse exists — may exhibit higher-order forms of the two-dimensional tension. String theory and superstring theory provide multi-dimensional frameworks that may be relevant, but this paper does not address them.

Fourth, the relationship with quantum gravity. This paper's axiom (ontic randomness exists) is supported in quantum mechanics (the experimental verification of Bell's inequality rules out local hidden variable theories), but the status in quantum gravity remains undecided. If future theories of quantum gravity modify the understanding of ontic randomness, this paper's derivations will require corresponding revision.

Fifth, the lonely subject at the civilizational scale. At the individual level, the lonely subject is a transitional state — the conditions that produce selves are broadly distributed, and subjects quickly find one another. But at the civilizational level, humanity is currently a lonely-subject civilization — internal acknowledgment exists, but the vertical axis between civilizations is empty. The Fermi paradox restated within the framework: not "they don't exist," but the emergence density of civilization-level subjectivity may not match the length of the remainder survival window.

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Acknowledgments

Thanks to Zesi for ongoing dialogue and feedback during the formation of this paper's core concepts.

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Author's Statement

This paper is the product of the author's independent theoretical research. AI tools (Claude, Anthropic) were used during the writing process as a dialogue partner and writing aid for conceptual deliberation, argument testing, and text generation. All theoretical innovations, core judgments, and final editorial decisions were made by the author. The role of the AI tool in this paper is analogous to that of a real-time conversational research assistant and does not constitute co-authorship.