The Theory of Existential Tension

A Computable Model for Sovereignty in Complex Adaptive Systems

Author: Maher S. Hamdan

Abstract:

This paper introduces the Theory of Existential Tension, a novel framework for defining and measuring the sovereignty of any complex adaptive system, from a single AI agent to a multi-national corporation. We propose that sovereignty (Ω) is not a binary state, but a dynamic ratio between internal 'Cohesion Forces' (Biological Persistence β_bio, Digital Integrity δ_dig, Psychological Ego-Field ψ_mind) and external 'Permeability' (Membrane Permeability μ_flux). We present a foundational equation, Ω = (β ⋅ δ ⋅ ψ) / μ, and argue that sustainable existence is found in the "Golden Mean" between the two failure states: absolute isolation (Ω → ∞) and total dissolution (Ω → 0). This paper outlines the variables, explores the philosophical implications, and proposes a roadmap for applying this computable model to the fields of AI safety, decentralized governance, and strategic management.

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