Cross-Scale Statistical Tests of Orbital Period-Ratio Structure: Narrow-Band Excess, Satellite-System Lattice Specificity, and Host Independence

Abstract

Cross-scale statistical tests of orbital period-ratio structure: narrow-band excess, satellite-system lattice specificity, and host independence. v1.2 journal-ready version (2026-08-04): abstract compressed to MNRAS limit, 27 references DOI-verified via Crossref, LaTeX typeset (mnras.cls v3.2, 6 pages, 0 errors). Key results: narrow-band [1.35,2.0] fraction 37.2% (p=3e-42); satellite lattice hits 59 vs 40 random-grid-set control (p=0.011); resonance rate host-age independent (r=+0.001/-0.027, p=0.99/0.56) and [Fe/H] independent (p>0.35); net +15.0 pp offset over packing baseline (bootstrap p=0.001). All numbers reproducible: full reproduction package at https://github.com/vortex-QC/orbital-period-ratio-stats