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Asymptotic Spacetimc Fabric and Quantum Symmetry: An lnformation-Theoritic Analysis of Feynman's Physics and Closed Cosmic Systems

El Bouazzaoui TAYB

Published May 20, 2026• 0 citations
Publisher

Abstract

This paper presents a rigorous, self-contained examination of the fundamental physical frameworks developed by Richard Feynman-specifically the Path Integral Formulation and the Time-Reversal Interpretation of Antiparticles-reinterpreted through the lens of modern information physics and closed topological systems. Ve analyze how these quantum formalisms challenge the classical, linear progression of time and instead support a non-dissipative, four-dimensional block universe archi- tecture. Moving beyond a simple historical review of Feynman's work, this paper presents a major restructuring of standard quantum and thermodynamic physics into a unified theory of geometric information. By evaluating the quantum prop- agator as a global integration over all mathematically permissible configuration paths, and by treating antimatter as a necessary geometric manifestation of time- reversal symmetry, we formalize a system where physical information is an invariant, non-degrading asset. Vithin this architecture, intermediate states, quantum fiuctu- ations, and unrealized paths are never lost to decoherence; they remain permanently encoded within the complex phase relations of a global manifold (RAbsolute). Fur- thermore, we explore the thermodynamic arrow of time as an emergent statistical property rather than a fundamental cosmic constraint, establishing a unified con- ceptual framework where information, geometry, and conservation are inextricably linked. The consequences are examined in light of the black hole information para- dox, quantum erasure experiments, and the emergence of classical reality through quantum Darwinism. Ve conclude that the universe operates as an absolute, non- dissipative database where all physical states and histories are topologically invari- ant.

DOI
10.5281/zenodo.20306690

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This work introduces the term 'Bounded Randomness' as an original conceptual framework by the author, defining randomness as a computational resource constrained by physical budget. V5.4 introduces the Entanglement Density parameter D_E formally linked to von Neumann entanglement entropy, establishes the Planck time as the absolute lower bound on the phase transition timescale, and introduces a formal critique of gradient decoherence models as physically inconsistent with conservation laws. V6.1 introduces the Macroscopic Restrictive Barrier — a thermodynamically irreversible stabilization mechanism explaining structural integrity of macroscopic objects — formalizes the Unified Dark Sector as two opposing consequences of a single unknotting process, adds the Correspondence Principle bridging the hypothesis to standard Quantum Mechanics, and clarifies that unrealized probabilistic branches are strictly virtual computational possibilities, not parallel realities. V7.2 introduces a Foundational Philosophy section establishing logic as the constitutive fabric of reality (The Background Operator Problem), formally connecting quantum probability to Gödelian incompleteness via Cubitt et al. (2015), and linking the dilaton field Φ to the Logical Language of the Fabric. V8.3 resolves the black hole information paradox through a finite topological core bounded by Planck density, introduces the three-act particle model, and establishes black hole evaporation as a necessary condition for conformal rebirth. V9.0 introduces the Author's Note on Working Methodology (transparent disclosure of age, role of AI tools, and epistemological limits), formalizes the four-tiered categorical hierarchy of reality as a Conceptually Isomorphic Framework (Logic → Laws → Space → Time), and introduces Section 5.4: a deductive critique of quantum consciousness theories (Orch-OR), demonstrating their thermodynamic invalidity under the Macroscopic Restrictive Barrier. V9.5 introduces three new authorial concepts: the ontological distinction between virtual quantum branches and macroscopic cognition (hallucinations are real macro-events, not virtual states), the formalization of the Dark Sector as equal deterministic properties of Space governed by the Laws layer and invariant across cycles, and the mathematical proof via Liouville measure that conformal rebirth invariably yields unique non-repeating topological configurations (P = 0). The critique of gradient decoherence models is restored as a dedicated section. V10.0 introduces three new authorial concepts: "Logic, Truth, and Fundamentality" — formalizing logic as an absolute meta-rule and the sole condition for existence (true illogic is absolute nothingness, not chaos); "Meaning and Direction" — a mechanistic resolution of the question of meaning, distinguishing objective Direction (thermodynamic necessity) from subjective meaning (a local macroscopic phenomenon generated via Bounded Randomness); and a dedicated section "Heuristic Estimates and Phenomenological Models" separating all phenomenological constructs from core architecture. Open Questions are expanded to include the cosmological scaling law of ρinfo(a), compatibility with FLRW equations and Bianchi identities, and the formal derivation of the galactic density profile from ρinfo. V11.0 introduces three new authorial concepts: "Infinity as Potential, Not Actual" — rejecting actual infinity as a completed physical object; all mathematical singularities and infinite limits are reinterpreted as potential processes without reachable endpoints; "Probabilistic Distribution and the Emergence of Life" — life requires no teleological explanation; the correct question is not "why is life possible" but "what prohibits it"; in the absence of prohibition, emergence is a necessary probabilistic consequence of invariant laws; and the formal clarification that the connection between Gödel's Incompleteness Theorems and quantum uncertainty is a conceptual parallel, not a mathematical theorem, now explicitly placed in the Heuristic Estimates section. The Modified Einstein Field Equations are moved to heuristics with an explicit Bianchi identity disclaimer. Open Questions expanded to include the formal derivation of hadron masses from structural complexity via Lattice QCD. V12: global changes.
Abstract This paper develops a unified theoretical framework in which time is formulated as an intrinsic complex-phase rotation eiθeiθ within an imaginary extension of spacetime.In this formulation, the imaginary unit ii is not a mere mathematical symbol but the operator of indeterminacy, representing the undetermined future phase of physical existence, while the real component corresponds to the determined and fixed past.Temporal continuity arises from this internal oscillation, and both the light limit (v=cv=c) and the rest limit (v=0v=0) emerge as degenerate boundaries of the same rotation. This Complex-Time Geometry (CTG) provides a geometric basis that links quantum mechanics, relativity, and thermodynamics under a single structure.The flow of time is interpreted as a continuous projection Im(ψ)→Re(ψ),Im(ψ)→Re(ψ), transforming potentiality into actuality.Within this framework, entropy increase corresponds to the progressive fixation of imaginary freedom, and the arrow of time naturally arises as the geometric direction of realification.Measurement is redefined as a temporal projection from the imaginary to the real domain, resolving the conceptual gap between quantum indeterminacy and classical determinacy. The theory further interprets Schrödinger’s iℏ∂ψ∂t=H^ψiℏ∂t∂ψ=H^ψ as the mathematical manifestation of orthogonal evolution in complex time, where ii ensures reversible continuity.Ultimately, time is not an external parameter but the internal oscillation of existence itself—the mechanism through which the universe continuously writes its own history. Keywords complex-time geometry; temporal projection; quantum measurement; relativity; entropy; arrow of time; ontology of time; self-recording universe
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.
Abstract The ontological status of time remains unresolved in fundamental physics. In quantum mechanics, time appears as an external classical parameter, whereas in general relativity it is dynamical and intertwined with spacetime geometry. Canonical approaches to quantum gravity, most notably the Wheeler–DeWitt formulation, eliminate time altogether, leading to the well-known “problem of time.” These tensions motivate frameworks in which time is not fundamental but emergent. In this work, we propose a discrete, update-based framework in which the universe evolves through a sequence of global quantum states indexed by an abstract update parameter rather than by a physical time coordinate. Evolution is formulated as a completely positive, trace-preserving (CPTP) quantum channel acting on the universal density operator, ensuring exact conservation of probability and global quantum information at every update. The framework is deliberately conservative: it preserves the formal structure of quantum mechanics and quantum field theory, enforces vacuum stability, and supports global conservation laws without introducing new dynamical postulates. Within this setting, time emerges relationally at the level of subsystems. As subsystems become increasingly entangled with their environments, entropy gradients arise that define an effective arrow of time, closely aligned with the thermodynamic arrow. The resulting temporal flow is relative, statistical, and observer-dependent, while the global evolution remains information-preserving and, in the closed-system limit, reversible. We explore the implications of this framework for cosmology and black hole physics. The Big Bang is reinterpreted as an initial quantum state rather than a singular beginning of time, avoiding temporal singularities. Black hole evaporation is shown to be compatible with unitary evolution when the full quantum state is considered, naturally reproducing the expected Page curve and resolving the apparent information paradox. Overall, the framework provides a coherent, minimal setting in which time, irreversibility, and cosmological history emerge from quantum correlations rather than from a fundamental temporal background.
This paper develops a theoretical framework that seeks to unify the foundational principles of quantum mechanics, general relativity, and thermodynamics by extending spatial geometry to include a compactified fourth spatial dimension. The central proposal is that many counterintuitive features of quantum systems—such as wave function collapse, superposition, entanglement, tunneling, and decoherence—emerge as phenomena from the projection of four-dimensional quantum states into observable three-dimensional space. Within this formulation, apparent quantum randomness is reinterpreted as a consequence of observing only a lower-dimensional slice of a higher-dimensional structure. A key innovation of the framework is the introduction of a scalar degree of freedom, termed the entropion field, which governs decoherence and encodes the thermodynamic arrow of time. The entropion field couples directly to both quantum fields and spacetime curvature, leading to modified Einstein field equations and an entropic extension of quantum field dynamics. This mechanism provides a consistent account of classicality emerging from quantum substrates, links entropy growth to projection dynamics, and clarifies how spacetime geometry constrains quantum evolution. The theory is presented through a structured progression of conceptual foundations, mathematical formalism, physical interpretation, and predictive consequences. Particular emphasis is placed on testable deviations from standard theories, including altered interference signatures in 4D-projected systems, entropion-modulated decoherence rates, and revised mechanisms of tunneling and entanglement. Broader implications are explored for quantum information theory, cosmology, condensed matter, and computational theory. Collectively, these results establish a geometrically grounded unification scheme that integrates the three major pillars of modern physics into a consistent and falsifiable framework.
Matrix Cosmography presents a novel information-theoretic monism where information geometry serves as the primary architecture of the physical universe. In this framework, reality is not built from material particles, but emerges from a one-dimensional unified continuous manifold topologically embedded on a circular or ring-like surface. Core Theoretical Framework Wave State Vectors: Probability is represented geometrically as wave state vectors within a probability metric space. These vectors are defined by amplitude (potential for actualization), frequency (quantum entanglement and phase lock), and phase (alignment within interference patterns). Non-Linear Decoherence: Discrete physical states are not fundamental; they emerge as interference signatures through non-linear decoherence from the global manifold’s superposition. Logic Operations: The transition from a 1D manifold to multi-dimensional reality is achieved through recursive projection and matrix transformations governed by the NAND logic operation. Entropy and Information Archiving The theory redefines entropy as a geometric operation that "thickens" the wave state vector field, allowing for infinite complexity without information loss. Black Hole Archiving: Black holes function as archival nodes, spreading information across the event horizon in a lossless format. Information Recycling: As information is released through Hawking radiation, it further thickens the 1D manifold. Matter, energy, and force are described as the "notes" generated by this underlying "sheet music" of information geometry. The Asymptotic Arrow of Time Time is treated as an emergent property of geometric thickening and complexification. Asymptotic Origin: The framework posits an asymptotic origin for the universe, providing a mathematical basis for a multiversal reality. Linear Progression: While the past is rendered into non-existence upon actualization, the information remains preserved within the universe’s evolving geometry. Consciousness and Metaphysics Matrix Cosmography bridges the gap between physics and metaphysics by defining consciousness as the measurement of wave state vectors interacting with themselves. The Soul: Every individual is identified by a unique signature on the wave state vector field. Free Will: Humans possess free will because they are intrinsically part of the universe manifest, creating and processing their own nature through probability interaction. "The universe therefore is an engine of infinite complexity of which is infinitely evolving into greater complexity and the universe for us independently is a journey of infinite discovery." Author: Aviv Hoffman Keywords: Information Physics, Quantum Entanglement, Information Geometry, Entropy, Matrix Theory, Cosmology. AI Assistance & Citation Disclaimer Acknowledgment of AI Tools: The author acknowledges the use of Google's Gemini AI as a conversational and analytical assistant during the formulation and drafting of this framework. Gemini was utilized specifically to help structure, refine, and accurately articulate the advanced mathematics and physics terminology used to describe the concepts of information geometry, continuous manifolds, and quantum probability presented within this theoretical work.