Preprint / scholarly article

Persistence as Closure: An Assumption-Transparent Modular Core for Motion and Internal Time

K. Takahashi

Published
DOI
10.5281/zenodo.17209556

Abstract

This article develops a portable core theory in which persistence is modeled as a closure operator and motion arises from minimizing-movement dynamics. It separates baseline results from optional assumption modules, derives an internal time from distance-to-closure decrease, and illustrates the framework with convex, lattice, and information-oriented examples.

Keywords

  • persistence
  • persistence as closure
  • fixed points
  • minimizing movements
  • generalized minimizing movement
  • nonexpansive mappings
  • internal time
  • monotonicity
  • opial property
  • firmly nonexpansive
  • convex analysis
  • geometry

Identifiers and source records