The Ma–Chao Equation: Non-Hermitian Geometry and Topological Phase Transitions in Information-Fluid Hydrodynamics

Key Points

• The goal is to define the Ma-Chao Equation and explore its implications for topological phase transitions in hydrodynamics.
• Defined the Ma-Chao Equation and established the sensitivity law at Exceptional Points.
• Provided empirical validation using high-frequency BTC/USDT data.
• Included formal derivations from microscopic master equations.
• Conducted stability proofs using the Vakhitov-Kolokolov criterion.
• Performed Evans-function spectral analysis and applied a topological audit protocol.
• Identified the sensitivity law at Exceptional Points, demonstrating critical behavior.
• Validated the theoretical framework with empirical high-frequency market data.
• Confirmed stability of the Ma-Chao Equation through rigorous proofs.
• Showed significant implications for understanding non-Hermitian systems and topological properties.