Abstract This appendix supplies the complete, self-contained validation bundle for the instantaneous admissibility protocol at the effective transition moment as defined in Appendix C. 4. 1 of the Beyond Containment 4. 0 framework. It includes rigorous symbolic proofs, a deterministic verification scheme, geometric manifold diagrams, and the full operational protocol ensuring that admissibility is evaluated exactly when a transition becomes effective. The external read of the reference set Eadm E₀₃₌ Eadm at the left-limit tb− tb^- tb− must remain independently falsifiable at the bind point itself. If this condition holds, the invariant is completely closed: no admissibility at tb− tb^- tb− implies no effective transition. All claims are strictly limited to the tested trajectories and reproduced artefacts. Empirical runtine demonstration of independent falsifiability at tb- is scheduled for a subsequent validation phase on physical hardware.
Medesani et al. (Tue,) studied this question.