Appendix B.8: Complete Validation Bundle for Instantaneous Admissibility at the Effective Transition Moment (Beyond Containment 4.0 Geometric Framework)

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 E_{\text{adm}} Eadm at the left-limit tb− t_b^- tb− must remain independently falsifiable at the bind point itself. If this condition holds, the invariant is completely closed: no admissibility at tb− t_b^- 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.