Preprint / scholarly article

Relative Value Phases on Semantic Phase Spaces

K. Takahashi

Published
DOI
10.5281/zenodo.17832025

Full text PDF (Zenodo)

Abstract

This preprint develops a representation-invariant theory of relative value phases on semantic phase spaces built from observation geometries. It assigns value to macroscopic semantic phases rather than individual tokens and studies how those value orders and phase transitions behave under admissible changes of representation and evaluation basis.

Keywords

  • large language models
  • observation geometries
  • semantic phase transitions
  • relative value phases
  • token-level valuation
  • cluster-level valuation
  • continuum percolation
  • scaling-laws
  • random geometric graphs
  • stochastic geometry
  • value topology

Identifiers and source records