Thickness Structure Hypothesis — A Relativistic Extension of Proper‑Time Structure and Thickness Fluctuation

Core intuition of the Thickness‑Structure Hypothesis Section 1: Core Statements Light has zero proper time The early universe had no definable time Indistinguishability corresponds to superposition Motion represents traces of structural change Degree of freedom: thickness ϕ Observables: frequency deviation Δf and thickness‑variation rate γT Thresholds: Δf > 0.3, γT > 0.2 Section 2: Explanatory Notes Light has zero proper time In relativity, anything moving at the speed of light experiences zero proper time. This applies directly to light itself. The early universe had no definable time In the earliest stage of the universe, all degrees of freedom behaved in a lightlike manner. Proper time was effectively zero, and the notion of time could not be defined. Indistinguishability corresponds to superposition If proper time is zero, the beginning and end of an event coincide. Such a state cannot be internally distinguished, which is structurally identical to quantum superposition. Motion represents traces of structural change When states cannot be distinguished due to superposition, “motion” cannot refer to an object moving through time. Instead, it reflects changes in the structure of the universe itself. From relativity to a unified viewpoint Starting from the relativistic fact that light has zero proper time, one is naturally led to a chain of reasoning in which the largest scale (the universe) and the smallest scale (the quantum) fall within the same conceptual framework. Rather than extending quantum mechanics upward, we treat the universe itself as a quantum object. Thickness ϕ, Δf, γT, and the thresholds The fundamental degree of freedom in this framework is the thickness ϕ. Its observable signatures are the frequency deviation Δf and the thickness‑variation rate γT. The phase boundaries are defined by the thresholds Δf > 0.3 and γT > 0.2. Description This work presents a minimal and geometry‑preserving extension of general relativity, introducing a microscopic thickness degree of freedom ϕ as a structural fluctuation rather than a new force. This “integration protocol” embeds quantum‑like variability into the relativistic framework without modifying its geometric foundations, suggesting a pathway by which observational data can bridge quantum behavior and cosmic‑scale structure. Using two statistical observables—the median frequency deviation Δf and the thickness‑variation rate γT—the theory yields a reproducible four‑phase structure (Stable, Thickness fluctuation, Effective deviation core, Composite). Independent AI‑based reconstruction confirms that the Δf–γT phase diagram arises directly from the theoretical equations, demonstrating universality and implementation‑independent reproducibility. Record Description This record provides the complete set of materials for the Thickness Structure Hypothesis, including the finalized theory documents, supporting summaries, and independent validation reports in both English and Japanese. The core papers present the theoretical framework, the Δf–γT phase‑diagram classification, and the effective‑thickness formulation. The Beta versions are included for transparency, documenting the conceptual development of the model. Two GR–QFT integration checksheets (EN/JP) summarize theoretical consistency, observational compatibility, and remaining open items. Two Independent Reconstruction Test reports (EN/JP) demonstrate that an external AI system, using only the published equations, successfully reproduced the four‑phase structure, threshold behavior, Monte‑Carlo occurrence probabilities, and predictions for unseen events—confirming the reproducibility and robustness of the model. The archive Complete Supplementary Materials.zip contains all datasets and reproducibility scripts, including priority‑list CSVs, the full event dataset, and Python tools for regenerating the Δf–γT map and verifying threshold behavior. Together, these files provide a complete, transparent, and fully reproducible presentation of the Thickness Structure Hypothesis. The purpose of this release is to establish a citable, timestamped reference for the thickness‑structure hypothesis as a whole, including its geometric foundations, phase‑transition framework, and quantum‑sector formulation. All terminology, definitions, and conceptual structures introduced in this work originate with the author and constitute the first formal presentation of the hypothesis. Note: This record is licensed under CC BY 4.0 only. Previous license options (MIT, CC0) were removed in order to clarify authorship and attribution requirements. Thickness Structure Hypothesis Quantumhttps://zenodo.org/records/18473540