What question did this study set out to answer?

The study aims to establish a unified geometric encoding framework called the Lo-Shu pipeline to analyze quantum and gravitational systems.

May 10, 2026Open Access

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

Key Points

The study aims to establish a unified geometric encoding framework called the Lo-Shu pipeline to analyze quantum and gravitational systems.
Proposed a geometric encoding framework to convert physical distributions into a dimensionless index (Q-LTE).
Presented four falsifiable laws based on empirical data and geometric principles about physical systems.
Provided a reproducibility checklist and ablation analysis to ensure transparency in methodology.
Fock negativity ring shows r_peak = 0.539·n^0.807, with R²=0.993 for finite samples.
Demonstrated Bosons are 1.0–4.5× denser than Fermions at Lo-Shu center cell L=5.
Schrödinger cat-state direction locks to L=9 during decoherence; Kerr Q-LTE exhibits +16.2% at a/M=0.99.

Abstract

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 rₚeak = 0. 539·n⁰. 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.

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

Key Points

Abstract

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