Law of Minimal Ontological Load (MOL)

Universal Meta-Principle of Directed Self-Organization in Complex Systems

$$E^* = \arg\min O(\mathcal{E}) \quad \text{subject to:} \quad \mathcal{I} \geq \mathcal{I}_{\min}, \quad C \geq C_{\min}$$

MOL states: any stable system evolves toward a state where its ontological load ($O(\mathcal{E})$) — a measure of non-functional redundancy in its structure — is minimized while maintaining sufficient informational integrity ($\mathcal{I}$). This is a selection principle: reality prefers the most economical way of being.

📚 Official Publications

MOL Whitepaper v1.0 (DOI)
Complete formalization, mathematical apparatus and roadmap. (Main document)

Philosophical Foundations of MOL (DOI)
Conceptual basis, meta-principle and the role of Operator $\Phi$.

Mathematics and Empirics of MOL (DOI)
Metrics, proxy formulas, quantitative evidence.

Principles Guide & Meta-Principles Table (DOI) NEW
Complete system of 11 principles, diagnostic matrices, practical applications.

Local document versions
Whitepaper, philosophical introduction and scientific core in Markdown format.

🧩 Periodic Table of Meta-Principles Completed

MOL manifests through 11 universal principles, grouped by fundamental aspects of reality:

🔄 DYNAMICS (Operator $\Phi$)

PPD, PCR, PAD

Managing system transitions and phase jumps that resolve ontological contradictions.

🏛️ STRUCTURE (Space)

PFE, PLAO, PNCF

Organizing hierarchical structures, scale-invariant minimization of $O(\mathcal{E})$.

💡 INFORMATION (Essence)

PDC, PSR, PICC

Cycle of information processing, compression, stabilization and resonance.

⏳ TIME / SYMMETRY

PAA, PHD

Primary act of symmetry breaking and directionality of temporal evolution.

Two Documentation Versions Available:

📖 Quick Reference - Concise overview of all 11 principles
📚 Complete Guide - Full detailed descriptions with diagnostic matrices and practical examples

🔬 Empirical Evidence

Biology (T4-lysozyme): Thermodynamic stability strongly correlates with minimized $O(\mathcal{E})$ ($r \approx -0.76$).
Physics (Chladni Figures): Complex stable order emerges in local minima of $O(\mathcal{E})$.
Sociodynamics: Distributed, adaptive institutions demonstrate low hidden structural inconsistency (DSI).
Cognitive Systems: Placebo effect as an example of reducing $O(\mathcal{E})$ through ontological plane shift in perception.

🚀 Quantitative Predictions

Historical Analysis - Prediction of state collapse with 75% accuracy
Materials Science - 5x improvement in thermal conductivity in nanostructures
Social Platforms - Lifecycle modeling according to MOL transitions

🛠 Tools and Implementation

Available tools:

mol_demo.py - MOL principles demonstration
mol_real_analyzer.py - Real systems analyzer
Data Instructions - Usage guide

🎯 Practical Significance

For Researchers:

Predictive power criterion for complex system models
Universal stability metric O(ℰ) for systems of any scale
Contradiction resolution mechanism through operator Φ

For Applied Tasks:

Architecture optimization (neural networks, software systems)
Design of sustainable institutions and social structures
Prediction of bifurcation points in complex systems

🌐 Research and Resources

Research Repository - Case studies, predictions and verification protocols
GitHub Repository - Source code and documentation
Integration Strategy - MOL implementation plan for AI systems
Perspective: Development of phase diagnostics simulator for real-time $O(\mathcal{E})$ assessment