State Space Admissibility Framework

The State Space Admissibility Framework (SSAF) is a constraint-based structural layer over standard quantum mechanics. Working over a single configuration space, the density-operator space of a Hilbert space, it supplies a context-indexed account of which configurations, coexistences and inferences are well posed under a fixed classical context E, carried by a small set of structural objects: an admissible set, a compatibility predicate, an addressability relation with its observational interface, a connectivity structure and an admissibility measure. Updating remains linear and completely positive trace-preserving and no new microdynamics are introduced. Sequencing is not assumed: irreversible order is treated as a reconstruction from realized restrictions of admissibility. The framework's central falsifiable prediction, the NS1 rate-independence test, requires that under a witness-confirmed fixed context, fitted decoherence-rate parameters be statistically indistinguishable across quantum state preparations, a test that can be run on existing superconducting-qubit and trapped-ion platforms. This release, v1.0, contains the complete manuscript source in RevTeX 4.2, approximately 345 pages compiled, together with all fifteen figures and the fourteen Python scripts that generate them. Several generators are verifying figures: they assert the claims made in their corresponding captions before saving, including negativity monotonicity under adversarial local channels, Gibbs passivity over random cyclic protocols, marginal invariance to machine precision and inclination invariance obtained by direct numerical integration. All randomized generators use fixed seeds. An executable verification suite for the manuscript's finite toy constructions is maintained in the companion repository ssaf-verification. Mathematical formalization, structural auditing and figure generation were carried out with AI assistance directed by the author, as disclosed in the manuscript's acknowledgments; the framework, its concepts and final responsibility for the content are the author's.