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

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 provides the materials used for the peer‑review process of the Thickness‑Structure Hypothesis. The hypothesis introduces a microscopic thickness degree of freedom ϕ as an effective scalar fluctuation. Using two statistical observables—the median frequency deviation Δf and the thickness‑variation rate γT—gravitational‑wave events separate into four reproducible classes:

• Stable

• Thickness fluctuation

• Effective deviation core

• Composite

These classes arise within a four‑dimensional parameter space (front_lr, mid_lr, back_lr, back_db), where back_db acts as the implementation axis for the thickness degree of freedom.

To ensure reproducibility and independence from implementation details, 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 (back_db, σT) plane.

Monte‑Carlo simulations, phase diagrams, and predictive tests on unseen events confirm that the classification is a mathematical consequence of the theory rather than an artifact of tuning or implementation.

Included in this record:

• English manuscript (PDF)

• Theoretical summary (PDF)

Additional materials will be released separately after the review process if needed.