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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

  • To define a framework for understanding the stability of structures within dynamic systems.
  • Introduces the concept of Global Complexity–Stability Theory.
  • Formulates the stability index relating complexity to stabilization capacity.
  • Analyzes the Universe as interconnected systems.
  • Establishes a balance between the rate of change and the capacity for recovery.
  • Suggests intelligence as a natural mechanism for complex systems.
  • Identifies critical boundaries of stability within system evolution.

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/69b5ff8083145bc643d1c28chttps://doi.org/10.5281/zenodo.18992662
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