Bridging Formal Control Theory and Cryptographic Provenance: An Architectural Synthesis for Deterministic State Control

This document presents the Tri-Loop Invariant-Governed Architecture (T-IGA), a formal architectural synthesis for achieving deterministic and verifiable state control in complex systems. It establishes high-level prior art by integrating principles of Nagumo-based forward invariance from formal control theory with a novel framework for cryptographic provenance. The T-IGA introduces a tri-loop topology, conceptual separation of state, evolution, and invariants, and hardware-attested process interdependency to ensure state integrity, resilience against analytical noise, and verifiable system evolution from genesis to terminal state. This work lays the foundational principles for systems requiring robust, auditable, and secure autonomous operation.