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A System-Theoretic Redefinition of Wave Function Collapse, Quantum Entanglement,and the Light-Speed Limit Based on the Photon Data-Box Hypothesis(光データボックス理論による波動関数の収縮、量子もつれ、および有限な光速のメカニズムに関する考察)

オカジママサナオ

Published Jan 1, 2026• 1 citation
Publisher

Abstract

[Description / Abstract] In modern physics, fundamental solutions remain elusive for the collapse of the wave function in quantum mechanics, the non-locality of quantum entanglement, and the structural reason behind the upper limit of the speed of light. To resolve these challenges unifiedly from the perspective of information science, this paper proposes a novel digital physics framework: the "Photon Data-Box Hypothesis," which posits that a photon is an ultra-lightweight data box capable of storing infinite temporal and spatial domains. By redefining spacetime contraction in Einstein's relativity as data compression, this model interprets physical mass as "data capacity (density)" and gravity as a "distortion of the spatial grid caused by computational lag." Furthermore, the square of the absolute value of the wave function (Born's rule) is mathematically formulated as a non-negativization process (rendering function) designed to eliminate system calculation errors. This model logically explains the mechanism by描画 (rendering) by which molecules and atoms materialize upon observation, proposing the profound possibility that the essence of spacetime is an information-based simulation structure. [日本語概要] 現代物理学において、量子力学における波動関数の収縮や量子もつれの非局所性、および光速が上限を持つ理由は、依然として根本的な解決に至っていない。本論文では、これらの課題を情報科学の視点から統合的に解決するため、「光(光子)は無限大の時間・空間領域が収納可能なデータボックスである」という新たなデジタル物理学のフレームワークを提案する。アインシュタインの相対性理論における時空収縮を情報圧縮として再定義し、物質の質量を「データ容量(密度)」、重力を「演算ラグに起因する空間グリッドの引きつれ」として解釈する。さらに、波動関数の絶対値の2乗(ボルンの規則)を、システムエラーを排除する非負値化プロセス(レンダリング関数)として数式化する。本モデルは、分子・原子が観測によって実体化するメカニズムを宇宙の描画プロセスとして合理的に説明し、時空の本質が情報に基づいたシミュレーション構造である可能性を提示する。

DOI
10.17605/osf.io/279wj

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[Description / Abstract] In modern physics, fundamental solutions remain elusive for the collapse of the wave function in quantum mechanics, the non-locality of quantum entanglement, and the structural reason behind the upper limit of the speed of light. To resolve these challenges unifiedly from the perspective of information science, this paper proposes a novel digital physics framework: the "Photon Data-Box Hypothesis," which posits that a photon is an ultra-lightweight data box capable of storing infinite temporal and spatial domains. By redefining spacetime contraction in Einstein's relativity as data compression, this model interprets physical mass as "data capacity (density)" and gravity as a "distortion of the spatial grid caused by computational lag." Furthermore, the square of the absolute value of the wave function (Born's rule) is mathematically formulated as a non-negativization process (rendering function) designed to eliminate system calculation errors. This model logically explains the mechanism by描画 (rendering) by which molecules and atoms materialize upon observation, proposing the profound possibility that the essence of spacetime is an information-based simulation structure. [日本語概要] 現代物理学において、量子力学における波動関数の収縮や量子もつれの非局所性、および光速が上限を持つ理由は、依然として根本的な解決に至っていない。本論文では、これらの課題を情報科学の視点から統合的に解決するため、「光(光子)は無限大の時間・空間領域が収納可能なデータボックスである」という新たなデジタル物理学のフレームワークを提案する。アインシュタインの相対性理論における時空収縮を情報圧縮として再定義し、物質の質量を「データ容量(密度)」、重力を「演算ラグに起因する空間グリッドの引きつれ」として解釈する。さらに、波動関数の絶対値の2乗(ボルンの規則)を、システムエラーを排除する非負値化プロセス(レンダリング関数)として数式化する。本モデルは、分子・原子が観測によって実体化するメカニズムを宇宙の描画プロセスとして合理的に説明し、時空の本質が情報に基づいたシミュレーション構造である可能性を提示する。
The mechanism underlying wave function collapse remains one of the most persistent open questions in the foundations of quantum mechanics. Standard interpretations often treat the collapse as either an inexplicable axiom (Copenhagen) or an illusion (Many-Worlds). This paper proposes a third alternative based on the Principle of Informational Parsimony in a finite-capacity universe. We posit that the wave function represents a system in an informationally compressed state, maintained to optimize the computational resources of spacetime. Within this framework, “collapse” is reinterpreted as a Data Rendering Event: a thermodynamic transition where the system decompresses the state vector into a localized coordinate in response to an interaction request (observation). Using Landauer’s Principle, we derive the minimum thermodynamic cost of this rendering process. We further argue that the Heisenberg Uncertainty Principle arises naturally as a resolution limit inherent to the transition between compressed (momentum-space) and rendered (position-space) data formats. Finally, we propose that the discrete granularity of this rendering process implies a detectable quantization noise at the Planck scale.
This work proposes the Collapse Clock Hypothesis, a framework in which physical time is defined by the rate of irreversible wavefunction collapse, interpreted as a process of information pruning constrained by finite informational capacity. Within this framework, spatial variations in collapse rate give rise to differential progression of proper time, providing a potential mechanism for gravitational time dilation and related phenomena. The approach integrates concepts from quantum information theory, thermodynamics, and emergent spacetime, drawing connections to prior work on entanglement entropy, holographic bounds, and thermodynamic derivations of gravitational dynamics. A computational implementation using a Score-Driven Kinetic Ising Model (SDKIM) is presented to explore whether the proposed causal chain—mass → interactions → entanglement → collapse suppression → slower time—can arise dynamically in a simplified lattice system. The simulations demonstrate robust qualitative behavior consistent with collapse-rate suppression in highly entangled regions, while also highlighting important limitations, including the use of mean-field approximations and the absence of a direct quantitative mapping to known gravitational field equations. This work is intended as a speculative but testable framework rather than a complete theory. Several falsifiable predictions are outlined, including potential signatures in precision timekeeping, quantum-coherent systems, gravitational wave phase evolution, and cosmological observables. These predictions are presented at an order-of-magnitude level and require further development for direct comparison with experimental data. The goal of this work is to explore whether irreversible information dynamics may provide a unifying underlying mechanism for time, gravity, and cosmological evolution, and to motivate further investigation into collapse-based approaches to fundamental physics.
Title: Envelopment over Unification: Recovering Einstein’s Dream via a Generativity-First Framework Subtitle: The Sampling Paradox of State-Based Quantum Gravity and the Return to It from Wave Abstract: This paper identifies the fundamental cause of the century-long impasse in unifying quantum mechanics (QM) and general relativity (GR) as a "Sampling Paradox." Modern physics is epistemically constrained to perceive reality as a collection of static "states"—discrete snapshots sampled from a continuous generative flow. At the Planck scale, the instability of the carrier (spacetime geometry) makes the reconstruction of the generative source from these samples logically impossible. The Envelopment Framework: Departing from traditional state-based programs, we propose a "Generativity-First" ontology called Envelopment. This framework adopts a three-layer hierarchy: Primary Layer (Wave): The continuous, non-linear phase flow of the universe ("It from Wave"). Secondary Layer (Geometry): Spacetime as a stabilized, self-organizing attractor. Tertiary Layer (State): Matter and information as discrete, resolution-dependent projections. Mathematical and Information-Theoretic Foundations: We characterize the primary generative law using a non-linear evolution equation analogous to the Complex Ginzburg-Landau Equation (CGLE). In this model, spacetime geometry emerges as a steady-state attractor, while quantum states manifest as localized interference patterns. We re-derive the Energy-Time Uncertainty Relation as a rigorous consequence of finite temporal sampling windows (delta-t). Here, "uncertainty" is not an inherent fuzziness of nature but an informational limit imposed by the "shutter speed" of observation. Key Contributions: Planckian Aliasing: Redefines quantum vacuum noise as "folded" generative rhythms. The theory predicts non-random, phase-locked structures detectable through homodyne detection in quantum optics or advanced spectral analysis of LIGO data. Envelopment of Existing Theories: Repositions prominent programs—such as AdS/CFT (as shadow-to-object projections), Loop Quantum Gravity (as descriptions of discrete sampling units), and String Theory (as organizations of state-excitations)—as high-precision descriptions of specific projected regimes. The Observer as Co-creator: Positions the observer at the interface of sampling resolution, where the choice of the observational window determines which aspect of the generative wave is rendered as a physical "state." Significance: By shifting the ontological priority from "States" (nouns) to "Generativity" (verbs), this research offers a consistent bridge between continuous flow and discrete observation. It provides a roadmap for future numerical simulations based on non-linear dynamical systems and offers testable predictions for the deterministic structure of quantum noise. Keywords: Quantum Gravity, General Relativity, It from Wave, Sampling Paradox, Envelopment Framework, Complex Ginzburg-Landau Equation, Non-linear Dynamics, Vacuum Noise Aliasing, Observer as Co-creator, Information Physics. Note on Related Research: This manuscript represents a significant generalization of the author’s preceding work on "Shutter Speed Theory" and "Informational Crystallization" (Ohumi, 2025). It expands the sampling-theoretic reinterpretation of quantum uncertainty into a comprehensive framework for quantum gravity. For details, please refer to the attached PDF. This work introduces the “Envelopment over Unification” logic (Wave → Geometry → State). It is complemented by applied works translating this framework into (i) ethics of technological civilization (Envelopment Ethics, DOI: 10.5281/zenodo.18256968) and (ii) governance critique of quantified policy targets (Civilization KPI Trap, DOI: 10.5281/zenodo.18264106). References: Shannon (1948), Einstein (1916), Wheeler (1990), Ohumi (2025).
The non-locality of quantum entanglement presents a persistent intuitive paradox within classical physics frameworks, often mischaracterized as instantaneous action at a distance. This paper proposes a novel cognitive paradigm that models quantum mechanics through the lens of modern computer system architecture. Rather than treating entangled particles as distinct physical entities separated in three-dimensional space, we redefine them as mirrored pointers referencing a single, shared data object within the universe's underlying memory allocation (Hilbert space). Utilizing Dirac notation and tensor product formulations, we demonstrate that wave function collapse is mathematically and logically equivalent to the forced rendering and assignment of a suspended asynchronous state. To empirically validate this architectural interpretation, we deploy a local RAM-based quantum simulation via the Qiskit AerSimulator. The results confirm absolute zero-latency state synchronization (∣00⟩|00\rangle∣00⟩ and ∣11⟩|11\rangle∣11⟩), effectively eliminating the causality conflicts associated with spatial information transfer. This cross-disciplinary model provides a highly intuitive software engineering framework for understanding quantum information systems.
This work proposes the Collapse Clock Hypothesis, a framework in which physical time is defined by the rate of irreversible wavefunction collapse, interpreted as a process of information pruning constrained by finite informational capacity. Within this framework, spatial variations in collapse rate give rise to differential progression of proper time, providing a potential mechanism for gravitational time dilation and related phenomena.The approach integrates concepts from quantum information theory, thermodynamics, and emergent spacetime, drawing connections to prior work on entanglement entropy, holographic bounds, and thermodynamic derivations of gravitational dynamics. A computational implementation using a Score-Driven Kinetic Ising Model (SDKIM) is presented to explore whether the proposed causal chain—mass → interactions → entanglement → collapse suppression → slower time—can arise dynamically in a simplified lattice system.The simulations demonstrate robust qualitative behavior consistent with collapse-rate suppression in highly entangled regions, while also highlighting important limitations, including the use of mean-field approximations and the absence of a direct quantitative mapping to known gravitational field equations.This work is intended as a speculative but testable framework rather than a complete theory. Several falsifiable predictions are outlined, including potential signatures in precision timekeeping, quantum-coherent systems, gravitational wave phase evolution, and cosmological observables. These predictions are presented at an order-of-magnitude level and require further development for direct comparison with experimental data.The goal of this work is to explore whether irreversible information dynamics may provide a unifying underlying mechanism for time, gravity, and cosmological evolution, and to motivate further investigation into collapse-based approaches to fundamental physics.
The mainstream system of physics today is shackled by three major theoretical frameworks that fundamentally deviate from research rooted in matter and objective reality. All three are constructed based on abstract assumptions that contradict intuitive material motion and formal logic. First, the geometric metaphysical system derived from General Relativity, including spacetime curvature, Einstein’s field equations, extra dimensions, gravitational waves, black hole singularities, the Big Bang, dark matter, dark energy, spacetime distortion, wormholes and other related flawed propositions. This framework arbitrarily reinterprets gravitational effects of celestial bodies as unobservable geometric deformations of spacetime, and fabricates the concept of "gravitational waves" claimed to propagate at the speed of light. Quantitative calculations targeting the 1.3-billion-light-year black hole merger event prove that the field equations artificially set a mere 5% mass loss ratio. The calculated amplitude of gravitational fluctuations is tens of thousands of times larger than values derived from Newtonian mechanics consistent with real material transformation rules. This parameter is only a fitting tool to match detected signals, contradicting the objective law that all solid matter converts into photon plasma and gravitational force vanishes completely after celestial mergers. When calculations from the field equations conflict with galactic observational data, scholars invent unobservable hypothetical concepts such as dark matter, dark energy and extra dimensions to patch theoretical gaps, deliberately ignoring empirically verifiable physical mechanisms including interstellar plasma refraction and instantaneous action-at-a-distance gravitational force between celestial bodies. Second, the probabilistic idealistic interpretation of quantum mechanics, covering quantum superposition, Schrödinger’s cat, wave function collapse, observer effect, probability clouds, Heisenberg uncertainty principle, and subjectively biased explanations of quantum entanglement. This system breaks the law of contradiction in formal logic by asserting that objects can simultaneously hold mutually exclusive states, and arbitrarily proposes wave-particle duality to misclassify photons as entities possessing both wave and particle properties. Researchers deliberately avoid measuring fundamental parameters of photons such as vibration amplitude, vibration angle and vibration frequency. Intuitive experimental contrasts show interference and diffraction fringes only emerge when single/double slits are present, yet existing experimental equipment is fully capable of clarifying interactive mechanisms between photons and slit walls. Relevant foundational measurements have long been neglected. Third, the standard model’s artificially fitted spectrum of confined hypothetical particles, including quarks, gluons, the Higgs boson, neutrinos, virtual photons, quark-gluon plasma, etc. Heavy-ion collision experiments conducted at laboratories such as CERN can generate extreme temperatures of 2 trillion to 4 trillion degrees Celsius. Under such conditions, all solid particles fully dissociate into pure gamma photon clusters. However, to preserve the integrity of the standard model, scholars falsely claim stable quarks and gluons persist at ultrahigh temperatures, naming dense photon fireballs "quark-gluon plasma". They also introduce undetectable virtual photons to explain bidirectional conversion between photons and solid particles, fabricating imaginary intermediaries to obscure the straightforward objective law of energy-matter transformation, entirely abandoning the scientific spirit of pursuing objective truth. This paper clearly states its core stand: photons are pure energy particles with no inherent wave characteristics. The so-called "gravitational waves" defined by General Relativity do not exist objectively. The oscillating signals captured by detectors merely reflect variations in gravitational magnitude caused by relative motion of celestial bodies, rather than ripples propagating through spacetime. Gravitational force never travels in wave form. These three theoretical frameworks are tightly intertwined, forming a self-enclosed paradigm culture that prioritizes defending existing theories over exploring objective reality. They consume massive scientific research resources and continuously hinder humanity’s ability to interpret the fundamental laws of the universe through observable, logically consistent realistic concepts (the essence of photons, plasma refraction, instantaneous action-at-a-distance forces). This paper comprehensively lists all concepts inconsistent with empirical science, analyzes their flaws in logic, computation and experimental observation, and advocates reconstructing a unified physical framework grounded in observable material motion.