Core intuition of the Thickness‑Structure Hypothesis Lightlike systems have zero proper time A finite micro‑extension of proper time defines the thickness degree of freedom ϕ Structural fluctuations manifest as frequency deviation Δf and thickness‑variation rate γT These two observables form a reproducible classification space Gravitational‑wave events naturally separate into four classes The phase structure emerges independently of implementation details Description This record presents the Thickness‑Structure Hypothesis, a physical framework introducing a microscopic thickness degree of freedom as an effective scalar fluctuation. Using the two statistical observables median frequency deviation Δf and thickness‑variation rate γT, gravitational‑wave events separate into four reproducible classes: Stable Thickness fluctuation Effective deviation core Composite These classes arise within a 4‑dimensional parameter space (frontₗr, midₗr, backₗr, backdb), where backdb acts as the implementation axis for the thickness degree of freedom. To ensure reproducibility and independence from implementation choices, an Independent AI‑based Reference Model was constructed using only the theoretical equations. Without access to the author’s simulation code or parameter‑scan data, the model reproduced the same four‑class structure as emergent phase‑transition regions in the (backdb, σT) plane. Monte‑Carlo simulations, phase diagrams, and predictive tests on unseen events confirm that the classification is a mathematical consequence of the theory, not an artifact of tuning or implementation. This repository includes: The full Japanese manuscript (PDF) Figures and phase‑diagram results A reproducibility package (thicknessₛtructureᵣepro. zip) The Thickness‑Structure Hypothesis provides a reproducible, implementation‑independent physical model capable of describing and predicting gravitational‑wave event structures through the introduction of a thickness degree of freedom.
Hirokazu Abe (Thu,) studied this question.