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Summary
This study proposes a new model for self-organization based on elementary reductionism and cognitive stability. It explains how complex systems form through hierarchical interactions, differing from thermodynamic equilibrium.
Area of Science:
- Complexity science
- Systems theory
- Theoretical physics
Background:
- Self-organization is a fundamental process across various scientific disciplines.
- Existing models often struggle to explain the emergence of complex hierarchical structures.
- Understanding the principles governing system formation is crucial for diverse fields.
Purpose of the Study:
- To propose an empirical and mathematical model for self-organization.
- To introduce the concept of 'elementary reductionism' in hierarchical systems.
- To define and explore 'cognitive stability' as a mechanism for system stabilization.
Main Methods:
- Development of a theoretical framework based on elemental properties and interactions.
- Mathematical modeling of hierarchical element combinations.
- Comparative analysis with thermodynamic equilibrium principles.
Main Results:
- The proposed model explains self-organization through the 'cognitive' interaction of subelements, stabilizing higher elements.
- Elementary reductionism is illustrated across multiple scales, from quarks to societies.
- 'Cognitive stability' is defined as optimal dynamic interaction of nonidentical elements.
- Key differences between cognitive stability and thermodynamic equilibrium are identified.
Conclusions:
- The model provides a novel perspective on self-organization in complex systems.
- Elementary reductionism and cognitive stability offer a unifying principle for hierarchical structures.
- This framework has implications for understanding system formation in physics, biology, and social sciences.