A Hexalogy

A Hexalogy will appear in March, 2026.

The equations speak for themselves.

Foundations (Probability Theory, Statistical Physics, Information Geometry): 

PartI:

• [arXiv: xxxx.xxxxx] (Link to be updated)
  
  

PartII:

• [arXiv: xxxx.xxxxx] (Link to be updated)
  
  

PartIII:

• [arXiv: xxxx.xxxxx] (Link to be updated)
  
  

Applications (Nonlinear Dynamics, Quantum Fluids, Information Theory): 

PartIV: Linearization Principle: The Geometric Origin of Nonlinear Fokker-Planck Equations

• [arXiv: 2603.01278]
  
  

PartV: Exact Density Profiles of 1D Quantum Fluids in the Thomas-Fermi Limit: Geometric Hierarchy to the Tonks-Girardeau Gas

• [arXiv: 2603.01273]
  
  

PartVI:

• [arXiv: xxxx.xxxxx] (Link to be updated)