Zenodo Description

Title

Structural Phase Closure as a Generator of Physical Laws
(JS–SH / SRCD Framework)

Description

This repository contains the first working draft of the theoretical framework titled:

“Structural Phase Closure as a Generator of Physical Laws.”

The manuscript proposes a structural framework in which physical quantities emerge from a discrete geometric substrate governed by phase-closure dynamics.
The approach is based on the SRCD (Structural Ratio Coordinate Dynamics) and JS–SH structural architecture.

The central idea of the framework is that physical relations can be generated from a minimal set of structural rules rather than empirical parameter fitting.

The generator is defined by the following structural relations:

σ(u)=uu+1\sigma(u) = \frac{u}{u+1}σ(u)=u+1u ϕ(u)=2πσ(u)\phi(u) = 2\pi\sigma(u)ϕ(u)=2πσ(u) Δϕ=wrap(ϕ−π)\Delta\phi = \mathrm{wrap}(\phi - \pi)Δϕ=wrap(ϕ−π) R=(Δϕ)4R = (\Delta\phi)^4R=(Δϕ)4

These equations define a phase-closure generator which produces structural residuals used in the construction of physical quantities.

The framework further introduces:

• JS–SH discrete structural units
• a structural ratio coordinate (SRCD)
• anti-phase mismatch dynamics
• quartic residual closure
• a constitutional black-box verification protocol

The manuscript explores how such a structural generator may reproduce several features typically treated as independent parameters in modern physics, including:

• fermion mass hierarchy
• CKM mixing structure
• neutrino mass scales
• PMNS mixing
• gauge coupling behavior
• potential cosmological scaling relations

The approach explicitly avoids parameter fitting.
All candidate equations are selected through an exhaustive structural enumeration and verification process defined as the Black-Box Verification Protocol.

Black-Box Verification Protocol

1. Generate all admissible candidate equations within a classification layer.

2. Evaluate each candidate against verification criteria.

3. Select the top candidate (rank-1) and keep the second candidate as reserve.

4. Repeat the exhaustive enumeration within the selected candidate.

5. Seal the structure when further refinements no longer improve verification metrics.

This process ensures that the resulting equations are not fitted to experimental data but structurally selected.

Repository contents

This draft repository contains:

• manuscript source (LaTeX)
• derivation notes
• structural definitions
• reproducibility code templates
• black-box verification scripts

The code included in the repository allows readers to reproduce the structural generators and verification steps described in the manuscript.

Status of the manuscript

This document is released as Working Draft v1.

Several sections are still under active development, including:

• detailed derivation of the generator uniqueness
• full mass-transformer derivation
• CKM and PMNS structural derivations
• extended verification results

Future versions will include expanded mathematical proofs and additional verification results.

License

This work is released for open scientific discussion and reproducibility purposes.

Keywords

structural generator
phase closure
SRCD
JS–SH framework
fermion hierarchy
CKM matrix
cosmology