Dynamical Constraints on Transient Wormhole Traversability via Null Congruence Evolution and Response-Limited Actuation

We present a minimal control-theoretic reformulation of null congruence evolution in curved spacetime. Causal accessibility through a wormhole throat is modeled as a transient stability property governed by the stochastic Raychaudhuri equation subject to bounded external forcing with finite response delay and quantum vacuum fluctuations. We introduce a projection-gate framework in which a dimensionless gate functional serves as the operational criterion for traversability. Using a delay-dependent Lyapunov–Krasovskii functional, we derive an explicit upper bound on admissible processing latency. Stochastic exit-time analysis yields an analytical upper bound on allowable noise intensity beyond which no finite actuator saturation can prevent throat collapse. The resulting framework shows that traversability, when achievable under realistic control constraints, must be transient and resealing-biased. The model is compatible with both classical geometric stability analyses and holographic constructions that realize transient negative averaged null energy.