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March 15, 20260 citationsOpen Access

Discrete Non-Hermitian Gravidynamics: A Complete Gauge-Theoretic and Empirical Framework (Ma Chao Theory v1.0)

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CMChao Ma

Key Points

  • The central aim is to present a framework that integrates gauge theory and empirical data to understand dynamics in financial markets.
  • Developed a gauge-theoretic framework for analyzing liquidity collapses.
  • Tested scaling laws on 5 million BTC/USDT trades from August 2024.
  • Utilized Python scripts for empirical analysis.
  • Identified two exponents ±1/2 during market fluctuations.
  • Demonstrated a spectral gap in chaotic market conditions.
  • Presented a renormalization program with parameters C₁ = −2/11 and critical mixing β_c.

Abstract

This is the full release of Ma Chao Theory v1. 0 — a framework called “Discrete Non‑Hermitian Gravidynamics”. Think of it as gauge geometry meeting information flow: link variables from GL (k, C) live on a simplicial lattice and somehow manage to describe real‑world liquidity collapses. It proves three things from scratch: 1. a biorthogonal conservation law that keeps complex dynamics strangely real, 2. a logarithmic barrier that makes sure det U never goes to zero so the math survives, and 3. the so‑called Phoenix attractor, which comes back from chaos with an explicit spectral gap. On the data side, it tests two exceptional‑point scaling laws on 5 million BTC/USDT trades from 5 August 2024. Both exponents ±1/2 show up exactly as predicted — one when things blow up, one when they heal. The renormalization program even behaves, giving C₁ = −2/11 and a critical mixing βc that looks far more innocent than it sounds. Ghosts contribute nothing; the math is spooky enough without them. All scripts are in Python, the data are public, and the theory doesn’t need a regulator to stay sane. No funding, no affiliation — just gravity, gauge fields, and a bit of market noise. Enjoy, and may your spectral gaps always stay positive.

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Cite This Study

Chao Ma (2026) studied this question.

synapsesocial.com/papers/69b606d583145bc643d1d23chttps://doi.org/10.5281/zenodo.19010498
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