This repository contains a scientific instrumentation prototype for studying non‑Hermitian information‑fluid dynamics. It provides no trading signals or financial recommendations.
“Structural Admissibility is the only Physical Invariant.”
— Chao Ma (2026)
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The Ma‑Chao Equation Validation Engine operates as a continuous Non‑Hermitian Topological Observatory, mapping high‑frequency LOB tick data into a dynamically evolving information‑fluid manifold.
While traditional quant models rely on Brownian ergodicity, this engine assumes:
Flash crashes = spontaneous topological symmetry‑breaking events at Exceptional Points (EPs) in a complex Hamiltonian system.
In other words:
Liquidity collapses are not “anomalies” — they are topological inevitabilities.
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The laboratory implements the full empirical protocol from the 54‑page monograph, consisting of 12 monitoring modules.
The core structural‑physics modules include:
Tracks the real‑time dynamical trajectory between:
- Atomic Integrity: ( AI_{\log} )
- Pressure Gradient: ( \nabla AI )
Visualizes branch‑cut geometry where eigenvalues
[
\lambda_{\pm}
]
coalesce at the discriminant:
[
\Delta_{eff} = 0
]
→ This marks the onset of a topological phase transition.
Real‑time verification of the predicted scaling relation:
[
\sigma^2 \propto \Delta^{-1/2}
]
Includes:
- Weighted Least Squares (WLS)
- 95% Confidence Intervals
- Real‑time (R^2) under AWSP (Adaptive Window Splitting Protocol)
Two-channel topological signal validation:
- Hawkes pre‑whitened correlation: ( \hat{\rho}_A )
- CPSD spectral coherence: ( \hat{\rho}_B )
Prevents aliasing, ensures structural certainty.
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To sustain sub‑microsecond L1/L2 throughput:
Core mathematical operators execute independently of UI rendering.
This guarantees that structural time ( \hat{\tau}_{corr} ) is never violated.
All visual components (phase space, soliton trackers, EP scans) run at locked 30 FPS, ensuring:
- Zero timestamp drift
- Zero leakage
- Zero causality violations
Even at 100,000 ticks/second.
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Click [EXPORT DATA] to obtain a reproducible audit log.
- timestamps
- instrument parameters
- exact AWSP truncation windows
tick, AI_log, delta_eff, rho_A, rho_B,
Wn, Q_topo, score, verdict
When ( \Delta P \to 0 ), structural divergences are:
- Clamped to [-5.0, 5.0]
- Tagged with _ANOMALY
- Guaranteed clean for Pandas / R pipelines
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The MA‑CHAO LAB is conducted under full Independent Researcher Protocol:
- No institutional funding
- No corporate influence
- Full scientific sovereignty
Institutions capable of providing high‑fidelity L1/L2/ITCH feeds are welcome to participate in the empirical validation of information‑fluid hydrodynamics.
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Author: Chao Ma
Email: raymond.ma@me.com
ORCID: https://orcid.org/0009-0004-2456-9098
If your research uses AI_log, Δ_eff, AWSP, or related structures,
please cite the project’s Zenodo DOI.