The Mechanics of Admissibility: Deterministic Admission Control and Certified Reachability for Cyber-Physical Substrates

A Formal Architecture Specification on Hybrid Inductive Invariants, Action-Attributable Frame Conditions, and the Cyber-Physical Formal Verification Boundary Autonomous artificial intelligence and neural motion planners operate over continuous latent manifolds, generating non-deterministic candidate action proposals. When commanding physical plants—such as high-inertia kinetic actuators, municipal power grids, or sovereign financial settlement rails—probabilistic proposals cannot provide verifiable safety guarantees. A controller executing on dynamic heaps with unconstrained operating-system scheduling jitter introduces unbounded temporal latency into hard real-time actuation paths. This document specifies a deterministic reference-monitor architecture for cyber-physical admission control, establishing verifiable closed-form barrier functionals, inductive hybrid simulation relations, and zero-allocation microarchitectural memory guarantees. Canonical Metadata & Epistemic Identifiers: Specification Series Code: ARC-CAPSTONE-2026-SYNTH-01-REV19 Status: Canonical Reference Specification (V19 — Final Canonical Archival Baseline) Master Epistemic Anchor: A-77-DELTA-SHIELD-LOCKED Canonical Web Root: https://admissibilityscience.com Primary Suite DOI: 10.5281/zenodo.22665852 Master Academic Suite DOI: 10.5281/zenodo.23371581 Cyber-Physical Monograph DOI: 10.5281/zenodo.24041851