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Hypothesis: Empirical Validation of the Law of Semantic Tolerance

Authors: Pérez Contreras, Benjamín Felipe;

Hypothesis: Empirical Validation of the Law of Semantic Tolerance

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). 

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green