OP7 — Non-Equilibrium Survival Theory of Constructibility

Constructibility collapse is fundamentally a time-to-failure phenomenon. While OP6b describes the spatial dynamics of degradation, a predictive operational theory requires a temporal survival formalism. This paper develops the OP7 non-equilibrium survival theory of constructibility: a rigorous time-to-failure framework for neural learning systems under deployment stress, grounded in the spatial field theory of OP6b and extending it into the temporal domain of hazard dynamics, critical lifetime scaling, and optimal intervention control. We introduce the constructibility lifetime space, define the KA hazard ansatz connecting survival theory to causal entropy observables, derive critical scaling of mean collapse time E[T] ~ |r0|ψ with collapse susceptibility exponent ψ = νz, establish finite-size scaling of the survival function, and solve the optimal intervention scheduling problem via Hamilton-Jacobi-Bellman theory. We derive a quantitative monitoring latency bound Δ < Δtint − λ−1log(1/ε) providing the theoretical foundation for OP9 operational deployment. Together with OP6b, the present work completes the spatial-temporal unification of constructibility theory: OP6b governs where collapse begins; OP7 governs when and how fast, and how to intervene optimally.