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March 15, 20260 citationsOpen Access

Manifesto of Dynamic Equilibrium The Geometry of Structural Stability

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RLRoman Lukin

Key Points

  • The paper seeks to establish a framework for understanding the balance of stability within dynamic systems.
  • Introduces Global Complexity–Stability Theory (GCST)
  • Defines the stability index and discusses dimensions of stability and complexity.
  • Examines the Universe as a collection of interconnected systems near critical stability boundaries.
  • Positions intelligence and knowledge as mechanisms for self-description in complex systems.
  • Establishes a philosophical foundation for dynamic stability in the Universe.
  • Highlights the interplay between structural complexity and rate of change.

Abstract

Abstract The observable Universe may be interpreted not as a static collection of objects, but as a dynamic system in which the stability of structures is determined by the balance between the rate of change and the system’s capacity for recovery. Within the framework of Global Complexity–Stability Theory (GCST), this balance can be expressed through the dimensionless stability index 𝐺 = γ/𝑎𝐶 and 𝑎 denotes𝐶 the system’s stabilization capacity. γ where characterizes the structural complexity of the system, represents the rate of change, The present text formulates the philosophical and epistemological foundation of this idea. It considers the Universe as a hierarchy of interconnected systems whose evolution occurs near a critical boundary of stability. Within this perspective, intelligence and scientific knowledge may be interpreted as natural mechanisms through which a complex physical system describes itself.

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Cite This Study

Roman Lukin (2026) studied this question.

synapsesocial.com/papers/69b5ff5c83145bc643d1bbaehttps://doi.org/10.5281/zenodo.18992663
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