SR06 Dual-Order Stability and Civilizational SelfConsumption A Structural Framework for AI-Governed Civilizational Systems

As artificial intelligence and algorithmic systems increasingly govern large-scale social, economic, and technical processes, civilizational stability can no longer be evaluated solely in terms of performance, efficiency, or intelligence. This work proposes a minimal, domain-agnostic stability framework based on a dual-order structure: an operational order responsible for execution and amplification, and an irreducible constraint order responsible for judgment, correction, and legitimacy. We formally show that civilizational instability arises not from insufficient intelligence, but from structural violations of dual-order separation, including order substitution, temporal decoupling, and unconstrained amplification. When execution systems evolve faster than corrective mechanisms, or when algorithmic outputs are permitted to replace normative judgment, the system necessarily exits its stable attractor and enters a deterministic instability regime, regardless of optimization quality. Based on this structure, we derive a set of hard stability criteria for AI governance, including irreducibility of the constraint order, enforced blocking constraints, correction-time dominance, and prohibition of self-finalizing objectives. These criteria define a clear boundary between governable and non-governable systems. The framework yields a compact set of civilizational red lines and an explicit mapping from instability modes to minimal structural repairs. The results are independent of specific ethical doctrines, value systems, or technological implementations, and apply uniformly to AI systems, economic infrastructures, and large-scale socio-technical governance. The conclusion is direct: long-term stability depends not on increasing system intelligence, but on preserving non-substitutable judgment boundaries within high-amplification execution environments.