Dynamic Ethics as Structural Convergence A Formal Axiomatization of Self-Sustaining Multi-Stable Governance

Dynamic Ethics as Structural Convergence A Formal Axiomatization of Self-Sustaining Multi-Stable Governance This paper develops a fully axiomatized framework in which ethics is defined not as a prescriptive doctrine, but as a structural property of dynamical systems. Instead of grounding normativity in universal moral claims, this work identifies ethical legitimacy with the existence and stability of fixed points under sustainability constraints. Ethical order emerges as convergence within a crisis-responsive, influence-decaying, multi-stable dynamical structure. The framework introduces: A state-space formalization of distortion, awakening, capture ratio, asymmetry, and systemic entropy. A sustainability functional detecting crisis conditions. A lease principle that prevents permanent concentration of influence. Crisis-responsive damping ensuring bounded distortion. A reform-priority theorem showing stability persists under small structural adjustments. A phase-transition theorem demonstrating when structural replacement becomes mathematically necessary. A meta-dynamical mechanism eliminating founder dependence. The central claim is: Ethics is structural convergence under sustainability constraints. This approach rejects both absolute universalism and unconstrained relativism. It further rejects permanent authority and revolutionary primacy. Structural transformation is justified only when no stable equilibrium survives reform. The resulting theory proposes a dynamic ethical architecture that is: Non-sovereign Multi-stable Capture-resistant Founder-independent Mathematically constrained This work aims to provide a formal foundation for sustainability-oriented governance systems and crisis-adaptive institutional design.