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The Higher-Dimensional Time Hypothesis for Photons Explaining Quantum State Collapse and Apparent Retrocausality 光子高維度時間機制猜想:解釋量子態坍縮與逆時間因果現象

MING-HAN CHEN

Published Sep 16, 2026• 0 citations
Publisher

Abstract

Abstract Conceptual Overview In quantum mechanics, light exhibits either wave-like or particle-like behavior depending on the measurement configuration. Simultaneously, according to Special Relativity, a photon experiences zero proper time ($\Delta \tau = 0$) between emission and absorption in its own reference frame. Integrating these two foundational physics principles suggests that $\Delta \tau = 0$ should not be interpreted merely as a absence of time ("timelessness" or dimensional degeneracy). Instead, it represents a dimensional elevation (dimension-raising) of the photon's temporal framework: Higher-Dimensional Time & Projection: The near-zero proper time ($\Delta \tau = 0$) in the photon's rest frame projects onto our $3\text{D}+1\text{T}$ Minkowski spacetime by spanning the photon's entire worldline across time $T$. Mathematically, this null proper time frame acts as a higher-dimensional temporal manifold containing the complete path of the photon. Essential Collapse: When a measurement occurs, it does not alter past events. Rather, the photon's underlying state collapses within its higher-dimensional temporal frame ($\Delta \tau = 0$). This intrinsic collapse is globally projected onto the entire 4D temporal path $T$, rendering the history consistent with the observation. Eliminating Retrocausality: Macroscopic observers, bound to discrete temporal slices, perceive this global projection as an apparent "retrocausal effect"—mistakenly believing that a late-stage measurement retroactively changes past history. In reality, the causal structure is resolved holistically within the higher-dimensional temporal frame, appearing in 4D as a unified projection. 在量子力學中,光在被測量時只會呈現波動態或粒子態其中一種。另一方面,根據相對論,光子在其自參系(固有時間)中,從出發(發射)到終點(吸收)所經歷的時間永遠為零($\Delta \tau = 0$)。 當我們結合這兩大理論時,不應單純將 $\Delta \tau = 0$ 理解為「沒有經歷時間(降維/無時間)」,而應視為光的時間維度發生了「升維」: 高維度時間與投影:光在其自參系中趨近於零的時間($\Delta \tau = 0$),投影到我們 $3D+1T$ 的四維閔考夫斯基宇宙時,覆蓋了光從出發到消逝的整個時間軸 $T$。因此,在數學邏輯上,光的 $\Delta \tau = 0$ 固有時間維度,對等於一個包含光整個歷史的更高維度。 本質坍縮與投影錯覺:當觀測發生時,並不是「當下的測量改變了過去的歷史」,而是光在其高維度時間($\Delta \tau = 0$)中的「本質」因為觀測而發生了坍縮。這個高維度的本質坍縮,會一次性完整地投影到四維宇宙的整條時間軸 $T$ 上,使光的整個歷史展現出同一種狀態。 消除逆因果悖論:四維觀測者因為只能一格一格(按時間切片)地觀察世界,才會產生「在後面 $T_2$ 時間點的觀測,逆向改變了前面 $T_1$ 時間點光子」的逆因果錯覺。實際上,高維度的因果早在 $\Delta \tau = 0$ 的維度中一次性決定,我們觀測到的只是該高維本質在四維時間軸上的投影呈現。

DOI
10.5281/zenodo.22783827

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“For me then this is the real problem with quantum theory: the apparently essential conflict between any sharp formulation and fundamental relativity. That is to say, we have an apparent incompatibility, at the deepest level, between the two fundamental pillars of contemporary theory...” J. S. Bell (2004, p. 171) The inability to delineate a unified physical ontology that accounts simultaneously for the laws of special relativity and the results of quantum experiments has been a defining problem in physics for more than 100 years. Although various primitive ontologies (including Bohmian pilot wave, spontaneous collapse, and objective collapse theories) along with wave function realism ontologies, many-worlds interpretations, and multi-field theories address the tension between special relativity and quantum mechanics, none has successfully resolved it. This analysis addresses the problem by positing an ontic, mixed ontology composed of a “discrete” 4D spacetime and a physical, ultra-high dimensional (3 x N) “Planck Space.” Together, Planck Space and the three spatial dimensions of 4D spacetime form a tightly integrated ((3 x N) + 3) hyperspace (the “Dual Ontology”). 4D spacetime’s three spatial dimensions and the N dimensions of Planck Space are composed of two substructures: discrete, three-dimensional, quantized units of space ("Planck Spheres") and an ontic State of Absolute Nothingness (the "SOAN") whose sole physical characteristic is onticness. Critically, the Dual Ontology’s structure replaces 1) the continuous, differentiable manifold of 4D spacetime with a discrete 4D spacetime and 2) mathematical 3N configuration spaces with a physical (3 x N) Planck Space. Moreover, structurally and dynamically, the Dual Ontology is predicated on the one-to-one mapping and identity between the Planck Spheres that simultaneously form 4D spacetime and Planck Space. The one-to-one mapping and identity physically and theoretically support an integrated quantum dynamics based upon the dynamic evolution of single and N-body quantum states in 4D spacetime in full compliance with the laws of special relativity and the instantaneous collapse of all quantum states in an ontic Planck Space, where special and general relativity and more generally, 4D spacetime’s laws of physics, do not apply.
“For me then this is the real problem with quantum theory: the apparently essential conflict between any sharp formulation and fundamental relativity. That is to say, we have an apparent incompatibility, at the deepest level, between the two fundamental pillars of contemporary theory...” J. S. Bell (2004, p. 171) The inability to delineate a unified physical ontology that accounts simultaneously for the laws of special relativity and the results of quantum experiments has been a defining problem in physics for more than 100 years. Although various primitive ontologies (including Bohmian pilot wave, spontaneous collapse, and objective collapse theories) along with wave function realism ontologies, many-worlds interpretations, and multi-field theories address the tension between special relativity and quantum mechanics, none has successfully resolved it. This analysis addresses the problem by positing an ontic, mixed ontology composed of a “discrete” 4D spacetime and a physical, ultra-high dimensional (3 x N) “Planck Space.” Together, Planck Space and the three spatial dimensions of 4D spacetime form a tightly integrated ((3 x N) + 3) hyperspace (the “Dual Ontology”). 4D spacetime’s three spatial dimensions and the N dimensions of Planck Space are composed of two substructures: discrete, three-dimensional, quantized units of space ("Planck Spheres") and an ontic State of Absolute Nothingness (the "SOAN") whose sole physical characteristic is onticness. Critically, the Dual Ontology’s structure replaces 1) the continuous, differentiable manifold of 4D spacetime with a discrete 4D spacetime and 2) mathematical 3N configuration spaces with a physical (3 x N) Planck Space. Moreover, structurally and dynamically, the Dual Ontology is predicated on the one-to-one mapping and identity between the Planck Spheres that simultaneously form 4D spacetime and Planck Space. The one-to-one mapping and identity physically and theoretically support an integrated quantum dynamics based upon the dynamic evolution of single and N-body quantum states in 4D spacetime in full compliance with the laws of special relativity and the instantaneous collapse of all quantum states in an ontic Planck Space, where special and general relativity and more generally, 4D spacetime’s laws of physics, do not apply. Keywords: Quantum Cosmology; Special Relativity; Quantum Mechanics, Wave Function Collapse; Mixed Ontology; Dual Ontology; (3 x N) Planck Space; Planck Identity; Bell Identity
This paper presents a minimal and explicit structural statement of the Timeless Light Model (TLM). It introduces no new physical theory, equations, or empirical claims. Instead, it consolidates results established across a sequence of recent constraint-based and interpretive works into an irreducible canonical form. The aim is clarification and compression. Well-established relativistic invariants—most notably null proper time for massless excitations and the absence of a rest frame for photons—impose strict limits on how persistence, intermediate dynamics, and temporal ordering may be interpreted. When these consequences are developed across multiple papers, explanatory devices introduced for pedagogical purposes can be mistaken for foundational commitments. This work separates what is structurally required by relativistic kinematics from what was introduced as explanatory scaffolding. The resulting canon consists of three elements: the Quantum Platform (QP), in which no temporal variables or ordering predicates appear; the Spacetime Deployment Frame (SDF), in which all temporal structure and physical sequence are defined; and CI-ARCs (Causal Instruction Arcs), which represent emission–absorption linkages without intrinsic ordering, persistence, or intermediate evolution. Several immediate consequences follow directly, including the localization of temporal ordering to the SDF and the inapplicability of retrocausality language at the level of CI-ARCs. The paper is conservative in scope. It modifies no equations, introduces no new observables, and remains fully compatible with Special Relativity, General Relativity, and quantum field theory as an operational formalism. Its contribution is interpretive: to provide a stable, minimal reference statement of the Timeless Light Model suitable for citation and use as a foundational baseline in subsequent work.
The null interval of light implies that the photon's journey accumulates no time: emission, path and absorption are a single instant. This does not mean that the photon is everywhere without direction: it is present throughout its path at once, outside time, and its trajectory has direction; the succession of positions does not occur in its proper time ---which it does not possess--- but in the proper time of observers. From this structure it follows that the simultaneity of positions is only possible outside time, and that the photon is its typical case: a complete journey that manifests as a localized event when measured.
Geometric Derivation of Quantum Mechanics from a 5D Time-Delay Manifold This paper introduces the "Time-Delay Field" (TDF) theory, a novel geometric framework that derives the fundamental equations of quantum mechanics from a deterministic five-dimensional spacetime structure. By treating the fifth dimension as an intrinsic "delay" coordinate (τ\tauτ), we demonstrate that quantum behaviors—such as superposition and interference—are projections of continuous 5D null geodesics onto our 4D reality. Abstract:We present a geometric derivation of quantum mechanics based on the TDF theory. Extending the spacetime manifold to five dimensions (M4×S1M_4 \times S^1M4​×S1), where the fifth dimension τ\tauτ represents an intrinsic time delay, we postulate that all fundamental particles travel on null geodesics in the 5D bulk. We demonstrate that the rest mass of a particle arises from its momentum component in the delay dimension, leading to a helical trajectory. The quantum wave function ψ(x,t)\psi(x,t)ψ(x,t) is derived not as a probability amplitude, but as the Fourier projection of this 5D trajectory onto the 4D hypersurface. This framework rigorously recovers the Klein-Gordon and Schrödinger equations and provides a deterministic, geometric explanation for quantum interference and wave-particle duality. Furthermore, we address the measurement problem as a momentum transfer in the τ\tauτ-dimension and discuss consistency with recent experimental observations of symmetry-dependent quantum timing [Guo et al., 2026]. Key Contributions: Derivation of the Schrödinger Equation: Proves that the non-relativistic wave equation emerges naturally from the projection of 5D null paths. Resolution of Wave-Particle Duality: Explains wave-like interference as a topological phase accumulation (Moiré pattern) of helical trajectories. Objective Collapse Mechanism: Defines "measurement" as a momentum transfer in the delay dimension, eliminating the need for an observer. Mass-Dependent Decoherence: Introduces the "Quantumness Factor" (Q\mathcal{Q}Q), predicting an intrinsic transition from quantum to classical behavior for macroscopic masses. Experimental Alignment: Consistent with recent findings on geometry-dependent time delays in attosecond physics. Keywords: Quantum Foundations, Time-Delay Field, 5D Spacetime, Null Geodesics, Kaluza-Klein Theory, Measurement Problem, Emergent Quantum Mechanics, Geometric Phase.
It has been suggested that some of the puzzles of QM are resolved if we allow that there is retrocausality in the quantum world. In particular, it has been claimed that this approach offers a path to a Lorentz-invariant explanation of Bell correlations, and other manifestations of quantum "nonlocality", without action-at-a-distance. Some writers have suggested that this proposal can be supported by an appeal to time-symmetry, claiming that if QM were made "more time-symmetric", retrocausality would be a natural consequence. Critics object that there is complete time-symmetry in classical physics, and yet no apparent retrocausality. Why should QM be any different? In this note I call attention to a respect in which QM is different, under some assumptions about quantum ontology. Under these assumptions, the option of time-symmetry without retrocausality is not available in QM, for reasons intimately connected with the fundamental differences between classical and quantum physics (especially the role of discreteness in the latter).