Preprint / scholarly article

Post--FBHK Fibered Entropy--Transport Geometry with Petz Fibers and Type~III Persistence

K. Takahashi

Published
DOI
10.5281/zenodo.17679426

Abstract

A central result is quarter rigidity: the Benamou-Brenier action with kinetic terms |v_t|^2 + kappa |w_t|^2 matches d_FET^2 if and only if the reaction coefficient = 1/4, fixing the canonical normalization uniquely through Dirac calibrations.

Keywords

  • entropy-transport
  • hellinger-kantorovich
  • optimal transport
  • geometry
  • benamou-brenier formula
  • hamilton-jacobi duality
  • dirac reduction
  • petz monotone metrics
  • information geometry
  • araki relative entropy

Identifiers and source records