Jacob3175/ZetaPhase: ZetaPhase v1.0 — Initial Log-Phase Mapping Dataset and Analysis

Initial public release of the ZetaPhase project.

This repository contains an exploratory numerical study investigating a logarithmic phase mapping of physical constants using the imaginary part of the first non-trivial zero of the Riemann zeta function.

Core observations:

• Cosmological hierarchy: ln(R / ℓ_P) ≈ 141.46
• First zeta zero scaling: 10 × γ₁ ≈ 141.34725

39 standard constants (PDG, NIST, CODATA) are mapped to a unit circle in logarithmic space using

φ(Q) = ln(Q / Q_P) / (10γ₁) mod 1

Clustering appears near simple fractional phases:

0 — dimensionless couplings
1/3 — particle masses
1/2 — thermal / neutrino scales
2/3 — gravitational couplings

Monte Carlo testing (100,000 trials) suggests the clustering is highly non-random.

Contents of this release:

• Full 39-constant dataset
• Reproduction analysis script
• LaTeX research paper
• Visualization of phase clustering
• Monte Carlo statistical results

Author
Jacob Powell
ORCID: https://orcid.org/0009-0003-5641-4413