Law of Minimal Ontological Load: Mathematical Formalization and Empirical Validation - English Version

Mathematical formalization and empirical validation of the Law of Minimal Ontological Load (MOL). This document presents the rigorous mathematical framework of the theory, including the core optimization problem (E* = arg min O(E)), quantitative metrics of ontological load O(ℰ), and the dynamics of the Φ-operator. Provides results of experimental validation across biology (T4-lysozyme), physics (Chladni figures), and sociodynamics, demonstrating a strong negative correlation (r ≈ -0.76) between system stability and minimization of O(ℰ). Outperforms state-of-the-art AI in protein stability prediction. Project RepositoryFull documentation, source code, and additional materials: https://github.com/Singular-MOL/mol-foundation ContactThe MOL Foundation: [email protected] --- COMPLETE MOL FRAMEWORK This work is part of the comprehensive research on the Law of Minimal Ontological Load. The complete system includes: • Philosophical Foundations (DOI: 10.5281/zenodo.17454906)• Mathematical Formalization (this document)• Periodic Table of Meta-Principles (DOI: 10.5281/zenodo.17422129)• Core Whitepaper (DOI: 10.5281/zenodo.17445023)

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-10-28
DOI
https://doi.org/10.5281/zenodo.17464081
Primary Topic
Ecology and Vegetation Dynamics Studies
Type
article
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article

Law of Minimal Ontological Load: Mathematical Formalization and Empirical Validation - English Version

Zenodo (CERN European Organization for Nuclear Research)
Ecology and Vegetation Dynamics Studies
article

Law of Minimal Ontological Load: Mathematical Formalization and Empirical Validation - English Version

article en

Abstract

Mathematical formalization and empirical validation of the Law of Minimal Ontological Load (MOL). This document presents the rigorous mathematical framework of the theory, including the core optimization problem (E* = arg min O(E)), quantitative metrics of ontological load O(ℰ), and the dynamics of the Φ-operator. Provides results of experimental validation across biology (T4-lysozyme), physics (Chladni figures), and sociodynamics, demonstrating a strong negative correlation (r ≈ -0.76) between system stability and minimization of O(ℰ). Outperforms state-of-the-art AI in protein stability prediction. Project RepositoryFull documentation, source code, and additional materials: https://github.com/Singular-MOL/mol-foundation ContactThe MOL Foundation: [email protected] --- COMPLETE MOL FRAMEWORK This work is part of the comprehensive research on the Law of Minimal Ontological Load. The complete system includes: • Philosophical Foundations (DOI: 10.5281/zenodo.17454906)• Mathematical Formalization (this document)• Periodic Table of Meta-Principles (DOI: 10.5281/zenodo.17422129)• Core Whitepaper (DOI: 10.5281/zenodo.17445023)

Zenodo (CERN European Organization for Nuclear Research)
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Ecology and Vegetation Dynamics Studies
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