Semantic Relativity Theory v2.3: Topological Stability through Euler-CHORDS++ Integration

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Main Author: López López, José
Format: Recurso digital
Language:English
Published: Zenodo 2026
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author López López, José
author_facet López López, José
contents <p>Semantic Relativity Theory posits meaning as field phenomenon exhibiting observer- dependent curvature in AI-mediated communication. While prior iterations established conceptual foundations, operational measurement remained limited to basal structural assessment. This paper presents TRS v2.3, integrating Euler topological invariants with CHORDS++ multidimensional framework to quantify semantic stability. The evolution from CHORDS/CS through CHORDS+ revealed critical limitation: high-scoring texts collapsed under paraphrastic stress, indicating measurement captured surface adequacy but not architectural resilience. CHORDS++ resolution—decomposing dimensions into basal, structural, and expressive subfactors with curvature and tension metrics—enables Euler characteristic (χ) calculation as stability indicator. Empirical validation across 303 evaluations (101 texts × 3 LLMs) demonstrates χ ∈ [2,6] discriminates stable (χ=2, 55%) from collapsing architectures (χ=6, 23%). Integration with Intent Resistance Parameter (IRP) establishes predictive framework: IRP-χ coupling quantifies semantic mass and gravitational field strength. TRS v2.3 closes measurement gap between theoretical predictions and empirical validation, providing operational toolset for AI content assessment, editorial quality assurance, and cross-model stability analysis</p>
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spellingShingle Semantic Relativity Theory v2.3: Topological Stability through Euler-CHORDS++ Integration
López López, José
semantic relativity
Euler characteristic
topological stability
CHORDS++ framework
paraphrastic resistance
semantic gravity
semantic architecture
large language models
semantic coherence
multidimensional semantic framework
Semantic Relativity Theory
AI-generated content
AI governance
Meaning preservation
qualitative metrics
TRS
SRT
LLM evaluation
interpretive risk
intent resistance
semantic drift
Cross-model consistency
AI governance metrics
<p>Semantic Relativity Theory posits meaning as field phenomenon exhibiting observer- dependent curvature in AI-mediated communication. While prior iterations established conceptual foundations, operational measurement remained limited to basal structural assessment. This paper presents TRS v2.3, integrating Euler topological invariants with CHORDS++ multidimensional framework to quantify semantic stability. The evolution from CHORDS/CS through CHORDS+ revealed critical limitation: high-scoring texts collapsed under paraphrastic stress, indicating measurement captured surface adequacy but not architectural resilience. CHORDS++ resolution—decomposing dimensions into basal, structural, and expressive subfactors with curvature and tension metrics—enables Euler characteristic (χ) calculation as stability indicator. Empirical validation across 303 evaluations (101 texts × 3 LLMs) demonstrates χ ∈ [2,6] discriminates stable (χ=2, 55%) from collapsing architectures (χ=6, 23%). Integration with Intent Resistance Parameter (IRP) establishes predictive framework: IRP-χ coupling quantifies semantic mass and gravitational field strength. TRS v2.3 closes measurement gap between theoretical predictions and empirical validation, providing operational toolset for AI content assessment, editorial quality assurance, and cross-model stability analysis</p>
title Semantic Relativity Theory v2.3: Topological Stability through Euler-CHORDS++ Integration
topic semantic relativity
Euler characteristic
topological stability
CHORDS++ framework
paraphrastic resistance
semantic gravity
semantic architecture
large language models
semantic coherence
multidimensional semantic framework
Semantic Relativity Theory
AI-generated content
AI governance
Meaning preservation
qualitative metrics
TRS
SRT
LLM evaluation
interpretive risk
intent resistance
semantic drift
Cross-model consistency
AI governance metrics
url https://doi.org/10.5281/zenodo.18215792