PulseExploreJournal ClubDebatesTrendingResearchersJournals
Instagram
HomeExploreJournal ClubTrending
Synapse
⌘+K
Synapse
March 12, 20260 citationsOpen Access

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

View Full Paper
CMChao Ma

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.

Abstract

Description: This record contains the main paper and comprehensive supplemental material for the Ma-Chao Equation. Main Paper: Defines the Ma-Chao Equation, establishes the ^-1/2 sensitivity law at Exceptional Points (EP), and provides empirical validation using BTC/USDT high-frequency data. Supplemental Material (SM-A–O): Provides formal derivations from microscopic master equations, stability proofs (Vakhitov-Kolokolov criterion), Evans-function spectral analysis, and the V3. 6 Topological Audit Protocol (AWSP).

Ask AI
Helpful
Bookmark
Share
View Full Paper

Cite This Study

Chao Ma (2026) studied this question.

synapsesocial.com/papers/69b25b2b96eeacc4fcec9952https://doi.org/10.5281/zenodo.18932620
Ask AI
Helpful
Bookmark
Share
View Full Paper