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A Unified Framework for Emergent Time: Linking Null Geodesics, Path Integrals, and Thermodynamic Entropy

Hong, Jongmin

Published Nov 19, 2025• 0 citations
Publisher

Abstract

Title: A Conceptual Proposal: Emergent Time from Light and Entropy Abstract: The incompatibility between the dynamic spacetime of General Relativity and the fixed background time of Quantum Mechanics suggests that 'time' may not be a fundamental entity. This paper proposes a unified theoretical framework where time emerges as a statistical artifact arising from the interplay of light's topology, quantum probability, and observation scale. We posit that the fundamental causal structure is defined by null geodesics, while the classical flow of time emerges from the coarse-graining of quantum path integrals into thermodynamic entropy. By integrating the Principle of Least Action with the Thermal Time Hypothesis, we mathematically derive how a timeless quantum state transitions into a macroscopic reality with a definite time arrow. Furthermore, we offer quantitative predictions for gravitational decoherence times. Disclaimer & Author's Note: Conceptual Origin: The core hypotheses and physical intuition regarding the nature of time were conceived by Jongmin Hong (Physics Educator). AI Assistance: The mathematical formalization, structural organization, and English drafting were assisted by an AI model (Gemini). Standard physics formalisms (Path Integrals, Thermodynamics) were utilized to translate the author's conceptual framework into a structured format. Purpose: This paper is intended as a theoretical proposal and a digital record of the author's hypothesis. It invites further discussion and rigorous verification from the physics community.

DOI
10.5281/zenodo.17651010

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Title: A Conceptual Proposal: Emergent Time from Light and Entropy Abstract: The incompatibility between the dynamic spacetime of General Relativity and the fixed background time of Quantum Mechanics suggests that 'time' may not be a fundamental entity. This paper proposes a unified theoretical framework where time emerges as a statistical artifact arising from the interplay of light's topology, quantum probability, and observation scale. We posit that the fundamental causal structure is defined by null geodesics, while the classical flow of time emerges from the coarse-graining of quantum path integrals into thermodynamic entropy. By integrating the Principle of Least Action with the Thermal Time Hypothesis, we mathematically derive how a timeless quantum state transitions into a macroscopic reality with a definite time arrow. Furthermore, we offer quantitative predictions for gravitational decoherence times. Disclaimer & Author's Note: Conceptual Origin: The core hypotheses and physical intuition regarding the nature of time were conceived by Jongmin Hong (Physics Educator). AI Assistance: The mathematical formalization, structural organization, and English drafting were assisted by an AI model (Gemini). Standard physics formalisms (Path Integrals, Thermodynamics) were utilized to translate the author's conceptual framework into a structured format. Purpose: This paper is intended as a theoretical proposal and a digital record of the author's hypothesis. It invites further discussion and rigorous verification from the physics community.
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This paper presents a novel theoretical framework that aims to unify the core principles of quantum mechanics, general relativity, and thermodynamics by introducing an extended spatial geometry incorporating a compactified fourth spatial dimension. The theory proposes that many of the counterintuitive behaviours observed in quantum systems, such as wave function collapse, superposition, entanglement, tunnelling, and decoherence, can be naturally explained as consequences of 4D quantum objects being projected into 3D space. In this framework, observable quantum behaviour emerges not from intrinsic randomness but from the limitations of a lower-dimensional perspective on higher-dimensional structures. At the heart of this unification is the introduction of a new scalar field, termed the entropion field, which governs the rate and nature of quantum decoherence while simultaneously encoding the thermodynamic arrow of time. The entropion field interacts with known quantum fields and gravitational curvature, modifying the Einstein field equations and extending the standard model of quantum field theory. The result is a coherent description of how classical reality emerges from quantum substrates, how entropy and time are fundamentally linked, and how spacetime geometry influences quantum behaviour. The paper develops this hypothesis through a structured hierarchy of conceptual foundations, mathematical formalism, physical interpretation, and predictive consequences. Particular attention is given to testable deviations from standard models, including quantum interference in 4D-projected systems, entropion-driven decoherence rates, and new interpretations of tunnelling and entanglement. Broader implications are explored in quantum information, cosmological evolution, material science, and theoretical computation. This work serves as a foundational step toward a geometrically grounded theory of everything and offers a unified path forward by bridging the three major pillars of modern physics.
Abstract, This paper introduces the 0 → 1 hypothesis, a conceptual framework in which physical events and their relational ordering are treated as potentially more fundamental than macroscopic time. Rather than assuming time to be a universally flowing background parameter, the framework begins with distinguishable physical states, transitions between states, and causal or relational ordering among events. The notation 0 → 1 is used as a conceptual shorthand for physical becoming; it does not imply binary computation, creation from nothing, wave-function collapse, or a universal Planck-time clock. The central question is whether familiar temporal quantities can emerge from a more fundamental relational structure while remaining compatible with relativistic causal structure, quantum theory, and the thermodynamic arrow of time. A minimal mathematical scaffold is proposed in terms of an event set, a causal partial order, state transitions, and a coarse-grained duration functional. The framework is compared with relational time, the Page–Wootters mechanism, and causal-set approaches. At its present stage, the 0 → 1 hypothesis is a conceptual research framework rather than a complete physical theory. The paper therefore identifies the mathematical and empirical requirements that would be necessary for the hypothesis to become falsifiable and experimentally distinguishable from existing approaches.
Abstract This article does not claim to present a successful theory of quantum gravity. Instead, it undertakes a systematic and self-aware survey of the research program aiming to derive both quantum mechanics and general relativity from a purely relational network, based on a set of minimal ontological postulates. The framework rests on three axioms: (1) physical reality consists of nodes without intrinsic properties and their symmetric relations; (2) the relation strengths are non-negative and symmetric, with the total information capacity conserved as an ensemble expectation; (3) local evolution is restricted to redistribution of relations within triads. We honestly display and rigorously distinguish the conceptual achievements from the essential obstacles of this framework. On the quantum side, we obtain solid conceptual progress: the Born rule, unitary evolution, and topological nonlocality of entanglement all emerge naturally as representation-theoretic consequences of the statistical description of a finite information capacity network. This strongly suggests that the mathematical structure of quantum mechanics may be a generic feature of the statistical representation of any complex informational system satisfying “finite information + local relational evolution.” On the gravitational side, however, we encounter chasms that current mathematical and conceptual tools cannot bridge. A central contribution of this article is to clearly label these obstacles as fundamental open scientific problems: the conflict between a positive-definite relational ontology and the target of pseudo-Riemannian signature (signature problem); the missing coarse-graining procedure from a discrete network to a smooth manifold (coarse-graining problem); and the disharmony between external algorithmic time and emergent physical time (time problem). We argue that these are not technical details unique to this framework, but core challenges that any “spacetime from relations” program must confront. The article positions itself as a “conceptual cartography”—it precisely delineates the known boundaries of this research program, exposes the fatal rift often bypassed in mainstream discourse, and transforms all unresolved issues into a formal invitation for future investigation.
This work presents a unified theoretical framework that aims to bridge relativity and quantum mechanics through a single structural principle: delayed realization. Instead of assuming spacetime, time evolution, or quantum states as primitive entities, the framework introduces a pre-geometric definability network in which relational differences are initially undefined and become stabilized through nonlinear dynamics. The emergence of spacetime is then reinterpreted as the stabilization of definable differences, while the present is not given a priori but selected via delayed consistency over histories. Within this formulation, quantum phenomena arise naturally when multiple realization candidates coexist, producing interference structures governed by a variational principle. In the low-defect limit, the framework recovers effective relativistic geometry and field-theoretic behavior, including emergent gravitational curvature and gauge structures. A central contribution of this work is the formulation of a unified definability action, combining stabilization, curvature minimization, delayed consistency, and informational structure into a single variational framework. Under appropriate coarse-graining, this action yields structures consistent with Einstein field equations, quantum amplitudes, and gauge invariance as different regimes of the same underlying mechanism. This paper does not claim a fully closed mathematical unification of all physical sectors. Instead, it provides a coherent structural framework in which spacetime emergence, present realization, quantum probability, and effective field dynamics are organized as manifestations of a single principle. The framework is intended as a foundational step toward a deeper unification of physics, where time, geometry, and probability are not assumed, but emerge from the stabilization and realization of definable relational structures.