Admissibility–Execution–Witness Coupling: Necessary Requirements for Accountable Viability under Finite Horizons

This preprint formalises a minimal architectural necessity for finite-horizon viability under finite capacity. The core claim is that accountable admissibility-preservation cannot be realised by a constraint specification alone (which does not execute) nor by an execution system alone (which does not define the constraint) without collapsing one role into the other. We introduce the coupled AEW unit—Admissibility, Execution, and Witness—as the minimal unit of responsibility for auditable viability regimes. The paper proves a role-separation and structural necessity result (AEW Necessity): without valid coupling and a boundary-legible witness, at least one predictable structural failure mode must occur on some…