This record presents the quantum-theoretical component of the thickness‑structure hypothesis, an original physical framework developed by the author (ab_ab). The thickness‑structure hypothesis models physical reality as a continuous substrate characterized by a thickness field ϕ. The spatial extension, localization, and dynamical behavior of physical systems arise from structural variations in this field. Two structural variables define the state of the substrate:• thickness deviation Δf — the local structural alternative that determines potential localization sites • thickness fluctuation γT — the spatial spread of the structure responsible for wave-like behavior Depending on the combination of Δf and γT, the system exhibits three phases:• Wave phase (large γT) • Composite phase (intermediate γT) • Stable phase (γT below a critical threshold) Measurement is interpreted as a constraining operation that reduces γT, and the transition from wave-like to particle-like behavior is described as a structural phase transition satisfying γT ≤ γcrit(Δf). This document focuses specifically on the quantum aspects of the framework, including:• wave–particle duality as a phase-structural phenomenon • measurement-induced localization as a continuous transition • interference and tunneling as geometric consequences of the thickness field • entanglement as multi-region constraint coupling in γT • predictions such as continuous visibility change under partial measurement The purpose of this release is to establish a citable, timestamped reference for the quantum sector of the thickness‑structure hypothesis. All terminology, definitions, and conceptual structures introduced here originate with the author. License: CC BY 4.0 only. Thickness Structure HypothesisThickness Structure Hypothesis — A Relativistic Extension of Proper‑Time Structure and Thickness Fluctuation Thickness Structure Hypothesis DynamicsThickness Structure Hypothesis Dynamics - Unified Equation of Motion Thickness Structure Hypothesis Cosmological ExtensionsThickness Structure Hypothesis Cosmological Extensions Thickness Structure Hypothesis FrameworkThickness Structure Hypothesis Framework Xhttps://x.com/abab162535 Please help arxiv endorsementRelativity and Quantum Cosmology (gr-qchttps://arxiv.org/auth/endorse?x=DITNNU
This record presents the quantum-theoretical component of the thickness‑structure hypothesis, an original physical framework developed by the author (ab_ab). The thickness‑structure hypothesis models physical reality as a continuous substrate characterized by a thickness field ϕ. The spatial extension, localization, and dynamical behavior of physical systems arise from structural variations in this field. Two structural variables define the state of the substrate:• thickness deviation Δf — the local structural alternative that determines potential localization sites • thickness fluctuation γT — the spatial spread of the structure responsible for wave-like behavior Depending on the combination of Δf and γT, the system exhibits three phases:• Wave phase (large γT) • Composite phase (intermediate γT) • Stable phase (γT below a critical threshold) Measurement is interpreted as a constraining operation that reduces γT, and the transition from wave-like to particle-like behavior is described as a structural phase transition satisfying γT ≤ γcrit(Δf). This document focuses specifically on the quantum aspects of the framework, including:• wave–particle duality as a phase-structural phenomenon • measurement-induced localization as a continuous transition • interference and tunneling as geometric consequences of the thickness field • entanglement as multi-region constraint coupling in γT • predictions such as continuous visibility change under partial measurement The purpose of this release is to establish a citable, timestamped reference for the quantum sector of the thickness‑structure hypothesis. All terminology, definitions, and conceptual structures introduced here originate with the author. License: CC BY 4.0 only. Thickness Structure HypothesisThickness Structure Hypothesis — A Relativistic Extension of Proper‑Time Structure and Thickness Fluctuation Thickness Structure Hypothesis DynamicsThickness Structure Hypothesis Dynamics - Unified Equation of Motion Thickness Structure Hypothesis Cosmological ExtensionsThickness Structure Hypothesis Cosmological Extensions Thickness Structure Hypothesis FrameworkThickness Structure Hypothesis Framework Xhttps://x.com/abab162535 Please help arxiv endorsementRelativity and Quantum Cosmology (gr-qchttps://arxiv.org/auth/endorse?x=DITNNU
Description A Compact Structural Simulator Based on the Thickness Structure Hypothesis (TSH) This repository provides an executable model based on the structural dynamics suggested by the Thickness Structure Hypothesis (TSH). The simulator implements a compact dynamical equation derived from a covariant action involving the structural quantities p(x), Δf, and γT, and explores the possibility of organizing quantum‑like, classical‑like, and gravitational‑like behaviors within a common structural framework. The implementation numerically reproduces key structural components of the TSH formulation, including: the Δf–γT phase diagram the structural potential Φstruct the structural force Fμ=−∇μΦstruct(Δf,γT) mass‑dependent boundary behavior irreversible transitions across phase boundaries the evolution of the thickness‑field p(x) The simulator directly integrates the dynamical terms appearing in the compact covariant action, providing a computational environment for examining the structural behavior encoded in the TSH framework. Interpretation of the Dynamics The dynamical equation implemented here can be viewed operationally as: **“Next‑step trajectory = spreading tendency from −∇μlnp structural force determined by Δf and γT.”** −∇μlnp: spreading tendency (Bohm‑type behavior) Δf: structural degree of freedom associated with interference and nonlocality γT: structural degree of freedom associated with contraction and localization Fμ: structural force determined by the Δf–γT phase diagram Through this balance, the simulator produces behaviors that may resemble: quantum‑like spreading (Stable region) classical‑like trajectories (Composite region) gravitational‑ or measurement‑like localization (Core region) What the Simulator Computes The code performs the structural feedback cycle: (p(x),Δf,γT)t→Fμ→uμ(t+δt)→(p(x),Δf,γT)t+δt This realizes the loop: phase → structural force → motion → update → phase as suggested by the structural formulation. Characteristics of the Implementation uses the structural potential defined in the TSH formulation reproduces the three structural regions from the same phase diagram exhibits irreversible transitions when crossing structural boundaries visualizes interference‑like, classical‑like, and collapse‑like behavior follows the compact covariant action used in the theoretical formulation The simulator is intended as a computational tool for exploring the structural dynamics implied by the TSH framework. TSH Physics Engine (Structural Interaction Framework) The repository includes a structural physics engine capable of handling a variety of behaviors—quantum‑like, classical‑like, relativistic, and interaction‑related—within a single structural field p(x) and the associated structural variables Δf and γT. Because the structural action depends only on these internal variables, standard interaction tensors can be incorporated in a compatible way without modifying the structural equations. This allows the engine to accommodate: Standard Model–type sectors GUT‑like sectors effective string‑theoretic fields fluid or condensed‑matter tensors within the same structural framework. Computational Properties The structural formulation reduces the need for multiple PDE solvers and enables efficient GPU execution: single O(N) update loop no Navier–Stokes, Schrödinger, or GR field equations phase‑diagram‑based force evaluation real‑time simulation for large systems These properties allow the simulator to explore regimes that are typically difficult to compute within conventional formulations. Physics Engine (simulation, games, research) & AI Physics Engine (learning, optimization, universe editing)https://github.com/ababphysics/TSH/ xhttps://x.com/abab162535
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.
Note on Theoretical Context and Terminology: The mathematical formulations and notations presented in this version reflect an earlier stage of development. In subsequent works and theoretical revisions, all concepts previously referred to under localized personal naming conventions (e.g., specific individual equations or theories) have been formally standardized and integrated under the unified framework of the Stochastic Decoherence Model. Readers are advised to interpret the underlying velocity-dependent decoherence mechanisms, stochastic differential equations, and cosmological implications within this updated conceptual framework. This preprint presents a hypothesis of material-dependent quantum decoherence within an emergent information-based framework. The work derives quantitative predictions for coherence-time ratios between crystalline and amorphous forms of several materials, including silicon, carbon and silica. The central prediction is that structural disorder enhances intrinsic decoherence through material-dependent coupling parameters linked to experimentally measurable dielectric response functions. Unlike standard quantum mechanics and conventional mass-based collapse models, the framework predicts measurable differences between materials of identical chemical composition but different structural order. The proposed effects are experimentally testable using optomechanical resonators, nanomechanical oscillators and matter-wave interferometry. The manuscript explicitly discusses limitations, open theoretical questions and falsification criteria, and is intended as a contribution to ongoing research on quantum foundations, decoherence and collapse models. The author welcomes constructive feedback, criticism and potential collaboration from researchers interested in quantum foundations, decoherence theory, condensed matter physics and precision quantum experiments.
This work proposes a structural theory of wave dynamics in which quantum, statistical, and cosmological phenomena emerge from a single underlying principle: whether a wave process achieves phase closure or remains phase-open. Within a discrete conservative framework, wave evolution is shown to admit two qualitatively distinct regimes. Phase-closed processes generate stationary normal modes and localized particle-like states, whereas phase-open processes produce dispersive envelope dynamics and persistent background fluctuations. In this framework, Schrödinger-type evolution is not postulated as a fundamental law but arises universally as the effective continuum description of structurally incomplete (phase-open) wave processes. A central result of this paper is that Heisenberg-type uncertainty relations emerge as a structural consequence of phase openness rather than measurement postulates or operator non-commutativity. Persistent background fluctuations, including vacuum noise and cosmological background phenomena, are likewise interpreted as unavoidable residuals of incomplete phase closure in conservative wave systems. The theory further introduces a probabilistic structural law governing phase closure, predicting that particle-like states are rare events in a dominantly phase-open universe. This leads to falsifiable scaling relations connecting microscopic phase dynamics to macroscopic cosmological matter fractions. The framework is integrated with the JS–SH discrete geometry and the SRCD ratio coordinate, providing a unified structural interpretation of quantum mechanics, particle formation, and cosmic background structure. Unlike conventional approaches, this work does not modify quantum mechanics by additional axioms or stochastic assumptions. Instead, it derives quantum and cosmological phenomena from structural properties of discrete wave dynamics, offering a unified conceptual and mathematical foundation linking Schrödinger evolution, uncertainty, and cosmic background fluctuations.
This work presents a continuous, constraint-based interpretive framework for physical systems that unifies quantum behavior, classical structure, and cosmological evolution without introducing new forces or modifying established equations. Rather than treating quantum mechanics, electromagnetism, and general relativity as fundamentally separate domains, the paper proposes that these regimes can be understood as consistent descriptions of a shared underlying structure. The framework is built on three foundational elements: a non-geometric substrate (P_0) defining admissible configurations, interaction as the propagation of constraint, and geometry as the macroscopic record of accumulated interaction. Within this perspective, physical structure emerges through a continuous progression: distinctions enable gradients, gradients enable interaction, interaction accumulates as constraint, and constraint stabilizes into persistent configurations. The quantum–classical transition is interpreted as a continuous increase in interaction-induced constraint, while spacetime curvature reflects the large-scale organization of these interactions. The framework does not replace existing theories, but instead provides a unified conceptual interpretation that remains fully consistent with established physics across known regimes. Its value lies in clarifying relationships between domains, offering a continuous ontology of physical systems, and suggesting potential directions for further formalization.
This manuscript represents speculative theoretical work, developed prior to formal academic training in physics. As of now, I recognize that I cannot fully verify, formalize, or operationalize every component of the framework presented here. Acknowledging these limits, I intend to pursue formal education in physics over the next several years (estimated 4–11 years) to acquire the mathematical and empirical tools necessary to evaluate and refine this research properly. For that reason, this is likely the final paper I will release publicly until I have completed my undergraduate degree in physics. Nevertheless, I welcome feedback, critique, expansion, or refutation from domain experts. Any scholar, researcher, or practitioner who finds aspects of the work worth examining is invited to reach out. Contact: CoherenceFieldResearch@gmail.com This paper presents a unified variational framework that derives quantum mechanics, thermodynamic irreversibility, and gravitational curvature from a single underlying relational substrate. The theory is built on two physical fields—the coherence density ρ₍C₎ and phase potential φ—and shows that their joint evolution extremizes total coherence tension across the system. Starting from a conservative Lagrangian, the work derives both the continuity equation and a Hamilton–Jacobi equation with an intrinsic lattice potential Q₍C₎. Together they reproduce the Schrödinger equation through the Madelung transformation when λ = ℏ, grounding quantum behavior in coherence conservation rather than probabilistic axioms. Dissipative extensions introduce Rayleigh functionals that yield diffusion, decoherence, and temperature-coupled coherence decay, providing a unified field-theoretic interpretation of thermodynamics. A covariant geometric formulation promotes the theory to curved relational space; variation with respect to the coherence metric gᵤᵥ reproduces Einstein-like equations with sources given by coherence gradients, yielding Newtonian gravity in the weak-field limit. The theory produces distinct, falsifiable predictions, including temporal gravitational lensing, composition-dependent gravitational coupling, a thermal decoherence law, veil spectroscopy, coherence-energy storage and release, and phase-dependent clock drift. This manuscript consolidates the mathematical structure, physical interpretation, and empirical implications of the Coherence Field Paradigm (CFP) into a single unified action principle. It provides a continuous bridge between quantum behavior, thermodynamic irreversibility, and spacetime curvature, and offers multiple pathways for laboratory and astrophysical validation.