Thickness Structure Hypothesis Framework

This work presents the foundational structure of the Thickness-Structure Theory (TSH), a unified framework that organizes gravitational, quantum, and early-universe phenomena through a phase diagram defined by three fundamental variables: the thickness density p(x), the structural degree-of-freedom difference Δf, and the thickness temperature γT. The (Δf,γT) phase diagram consists of three phases—Stable, Composite, and Core—and the unified equation of motion absorbs all geometric contributions into the covariant acceleration, reproducing General Relativity (GR) exactly in the limit Φstruct→0. In regimes dominated by thickness fluctuations, the theory naturally yields quantum-like behavior. From the three phase boundaries and transitions, TSH predicts three observational signatures: (1) a high-frequency phase deviation in gravitational waves at the Stable–Composite boundary, (2) a non-analytic kink in the neutron-star mass–tidal deformability relation at the Composite–Core boundary, and (3) a localized feature in the primordial curvature power spectrum arising from the Core→Composite transition. These signatures originate from critical on–off behavior near phase boundaries and are difficult to reproduce in existing modified-gravity frameworks. The Core→Composite transition provides a geometric interpretation of the end of inflation (reheating) and naturally satisfies the Sakharov conditions, offering a potential explanation for the matter–antimatter asymmetry. TSH thus emerges as a testable unified theory, with predictions accessible to current and near-future observations including LIGO/Virgo/KAGRA, NICER, Planck/LiteBIRD, DESI, and Euclid. Thickness Structure HypothesisThickness Structure Hypothesis — A Relativistic Extension of Proper‑Time Structure and Thickness Fluctuation Thickness Structure Hypothesis QuantumThickness Structure Hypothesis Quantum – Unified Interpretation of Quantum Phenomena Thickness Structure Hypothesis DynamicsThickness Structure Hypothesis Dynamics - Unified Equation of Motion Thickness Structure Hypothesis FrameworkThickness Structure Hypothesis Framework