Paper 2: Statistical Patterns in Logarithmic Scale Ratios

This document reports a computational analysis of logarithmic scale ratios constructed from empirical physical datasets, including particle masses, energy scales, and critical exponents. The study evaluates whether observed ratios exhibit statistically significant clustering relative to randomized baselines under rational-multiple fitting procedures. The manuscript is an internal statistical research note and is subject to revision, extension, or reinterpretation in future public versions.