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December 5, 2025Open Access

Semantic Phase Transitions in Observation Geometries

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Authors

TKTakahashi K.

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Overview

This work demonstrates a relationship between metric measure space and energy budget in random geometric graphs, implying constraints on semantic capacity exponents.

Key Points

  • The framework establishes connections between semantic phase transitions and energy budget constraints.
  • Random geometric graphs exhibit associations with semantic capacity exponents based on metric measure space.
  • Applying continuum-percolation, the analysis reveals task events like connectivity and coverage in semantic units.
  • This universal approach aids in understanding intrinsic dimensions and emergent tasks across models.

Cite This Study

Takahashi K. (2025) studied this question.

synapsesocial.com/papers/694023c82d562116f28fcbcbhttps://doi.org/10.5281/zenodo.17824188
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  1. 1Semantic Phase Transitions in Observation Geometries2025 · 10 citations
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  4. 4Stable Semantic Phases under Coarse-Graining of Observation Geometries2025
  5. 5Stable Semantic Phases under Coarse-Graining of Observation Geometries2025