What Warrants Protected Continuation: Retained state and local guarantees

A favourable response now need not establish protection later. This working paper examines that distinction in published nonlinear equations for yeast peroxide response. Preparations with matching peroxide, enzyme, input and initial peroxide rate can initially move in opposite directions because their transcript states differ. A positive theorem combines local stability with an equilibrium strictly below a declared ceiling: nearby preparations remain protected under constant input for all future model time. A separate boundary preparation shows that extra initial enzyme can lower peroxide immediately yet produce a later ceiling violation. That enhanced state cannot be acquired from the nominated equilibrium while preserving the same ceiling throughout. These comparisons make retained-state participation and the conditions warranting continued protection precise. A separate representation test identifies a mismatch between local responses and the reference value in one fixed-weight Unified Coherence Model (UCM) mapping; it does not reject UCM generally. Ordinary kinetics, feedback and stability analysis explain the mechanisms, while the bounded UCM correspondence connects retained consequence with present organization. Complete proofs and supporting notes distinguish published equations, recovered analytical deductions and separate physical observations. The results establish neither biological safety, physical resource maintenance nor the complete originating UCM law. This is Paper 8 in the Ev5 working-paper series.