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December 5, 2025Open Access

Complexity-Constrained Semantic Phase Transitions on Entropic Law Spaces and Observation Geometries

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TKTakahashi K

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Overview

This work shows a phase diagram based on complexity–capacity inequality with random geometric graphs, indicating connections among semantic and dynamical complexities.

Key Points

  • The observed phase diagram includes random geometric graphs that visualize complex semantic connectivity and transitions.
  • A complexity–capacity inequality defines the relationship among geometric observation capacity, law–time, and interface complexities.
  • Analytical methods reveal connections between semantic percolation phenomena and laws of entropy–transport geometry.
  • The model illustrates how changes in dimensional complexity shape understanding in AI and complex learning systems.

Cite This Study

Takahashi K (2025) studied this question.

synapsesocial.com/papers/694023c82d562116f28fcc0dhttps://doi.org/10.5281/zenodo.17825303
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