Published January 15, 2026 | Version 1.0
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Hypothesis: Empirical Validation of the Law of Semantic Tolerance

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This version has problems in 1. theurology 2 circular fallacy, this is uploaded with the intention of the doi, NOT to be taken as absolute we are, carrying out new tests with expansion to more than 230 domains

We present comprehensive empirical validation of the Semantic Tolerance Law across seven diverse domains, demonstrating that the information-theoretic threshold α_task = R(D_max) accurately predicts system collapse with R²=0.993. Through rigorous experimental protocols involving controlled information degradation, bootstrap confidence intervals, and cross-validation, we establish that the law provides a reliable predictor of failure thresholds independent of architecture, dataset size (100× scaling), 
or learning algorithm. Key contributions: (1) Reproducible experimental methodology for α_task validation, (2) Multi-domain evidence spanning cybersecurity, robotics, autonomous systems, and natural language, (3) Statistical robustness analysis including sensitivity to D_max and architecture independence, (4) Historical case study validation (Boeing 737 MAX, financial crashes), (5) Open-source validation framework for community replication. Results: 100% validation rate across all tested domains (7/7), mean prediction error 0.041 bits (4.1% of threshold), ontological invariance confirmed (±0.4% variation under 
100× data scaling), architecture-independent (identical α across neural networks, decision trees, Bayesian classifiers). 

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Accepted
2026-01-14

References

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