Preprint / scholarly article

Semantic Phase Transitions in Observation Geometries

K. Takahashi

Published
DOI
10.5281/zenodo.17824189

Full text PDF (Zenodo)

Abstract

The core idea is to model semantic units as balls in a metric-measure observation geometry and study how overlap statistics, density, and quality-control constraints drive emergent behavior.

Keywords

  • scaling-laws
  • semantic phase transitions
  • observation geometry
  • metric measure space
  • ahlfors regularity
  • semantic capacity
  • hamiltonian model
  • overlap penalty
  • interaction-limited scaling
  • random geometric graphs
  • poisson boolean model
  • continuum percolation

Identifiers and source records