Hypothesis: Empirical Validation of the Law of Semantic Tolerance

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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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-01-14
DOI
https://doi.org/10.5281/zenodo.18249763
Primary Topic
Adversarial Robustness in Machine Learning
Type
article
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article

Hypothesis: Empirical Validation of the Law of Semantic Tolerance

Benjamín Felipe Pérez Contreras
Zenodo (CERN European Organization for Nuclear Research)
Adversarial Robustness in Machine Learning
article

Hypothesis: Empirical Validation of the Law of Semantic Tolerance

Benjamín Felipe Pérez Contreras
article en

Abstract

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).

Zenodo (CERN European Organization for Nuclear Research)
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Adversarial Robustness in Machine Learning
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