Preprint / scholarly article

Persistence-First Holographic Systems

K. Takahashi

Published
DOI
10.5281/zenodo.17636648

Abstract

The paper assumes the standard existence, uniqueness, and contractivity theory for gradient flows in classical, discrete, and quantum settings (Ambrosio-Gigli-Savare, Liero-Mielke-Savare, Maas, Erbar-Maas, Mielke, Carlen-Maas) and asks how ET gradient systems on a multiscale world-plus-boundary architecture can be packaged so that persistence, self-like structure, and curvature control become transparent.

Keywords

  • geometry
  • category theory
  • entropy-transport geometry
  • hellinger-kantorovich distance
  • gradient flows
  • multiscale dissipative systems
  • persistence monoids
  • categorical open systems
  • holographic boundary structures
  • finite markov chains
  • quantum markov semigroups
  • bures-hk metrics

Identifiers and source records