Coupled Resource Divergence in Closed Self-Authorizing Physical Systems A Constraint Theorem

No closed physical system can guarantee its own continuation indefinitely.We prove that bounded cumulative failure under persistent disturbance forces superlinear information-processing growth, which conflicts with finite physical channel capacity.The result establishes a coupled divergence across energy, delay, memory, and feedback capacity — a structural limit analogous to a “second law” of self-authorization.Implications extend to AI alignment, robotics, fault-tolerant computation, and long-horizon autonomous systems.