On the Impossibility of Observability-Based Authorization: A Formal Impossibility Result for Ex-Ante AI Governance

This technical note establishes a formal impossibility result for AI governance in regulated environments: no observability architecture can produce an artifact satisfying the ex-ante authorization requirement imposed by a regulatory regime. Under ex-ante regimes, each consequential action must be authorized prior to execution through a reproducible, independently verifiable decision over policy, context, and proposed action specification. The proof proceeds by three lemmas. First, observability signals are causally posterior to the governed system’s generation of the candidate action. Second, artifacts derived from observational characterization cannot be verified independently of the governed system. Third, no composition of observational outputs escapes these constraints. The result’s corollaries establish latency independence and intervention independence. The implication is structural rather than empirical. Monitoring, observability, guardrails, and human-in-the-loop approval systems may describe, filter, or interrupt system behavior, but they do not produce the authorization artifact required for regulated execution. This note provides the formal underpinning for conclusions developed across the FERZ research corpus on deterministic AI governance, including the distinction between observability and enforcement, the definition of execution-time authorization, and the Enforcement Test Protocol. The theorem establishes that this distinction is structural: architectures grounded in observation cannot satisfy the requirements of pre-execution authorization, regardless of sophistication, latency, or intervention capability.