A Geometric Language for Modern Physics, Volume 0: Lo-Shu Encoding for Quantum Phase Space and Black Hole Geometry

This open preprint proposes a unified geometric encoding framework — the Lo-Shu pipeline — that converts physical distributions (quantum Wigner functions, Kerr curvature) into a single dimensionless index (Q-LTE). Four falsifiable results: Law I: Fock negativity ring r_peak = 0.539·n^0.807 (finite-n, n=1..50, R²=0.993); exact algebraic result θ(1) = arccos(√((7−√41)/8)) = 74.148° Law II: Bosons 1.0–4.5× denser than fermions at Lo-Shu center cell L=5 (state-dependent) Law III: Schrödinger cat-state direction locks to L=9 throughout decoherence; geometric crossover at γt≈2 GR: Schwarzschild Q-LTE is M-independent (exact); Kerr Q-LTE +16.2% at a/M=0.99 (Bardeen exact boundaries) Includes 10 figures, Methods Summary, Reproducibility Checklist (Appendix D), and full ablation analysis. All code available at: https://github.com/jackykao0811/geometric-physics-luoshu Version 0.5 — corrects θ(1) from 78.86° to 74.148° (v0.1–v0.3 error); reclassifies Law I as finite-n effective scaling; adds E8 projection method details.