The Indeterministic Resilience Doctrine: Foundational Investigation

The Indeterministic Resilience Doctrine is an open, continuity-discipline methodology for governing agentic AI capabilities in critical operations. Classical business continuity practice rests on three assumptions that agentic systems break: that a process is a fixed sequence of steps, that recovery means restoring a known state, and that forensic reconstruction is a mechanical replay of logs. When the consequential decision is made by an agent rather than by a deterministic process or a human, classical practice runs short at exactly the points that matter. This investigation specifies the doctrine that closes that gap. It sets out three foundational frames and eight concepts, among them the AI Capabilities BIA, the Capability Envelope, recovery objectives for behavior, competence, and trust, the Last Reproducible Decision Point, the Forensic Reproducibility Objective, and the Indeterminism Tolerance Window. The doctrine extends classical methodology rather than replacing it, and complements the security-discipline frameworks the AI governance landscape has produced. It is offered to the community for review, adoption, and refinement under CC-BY 4.0.