Semantic Manifold Topology

Semantic Manifold Topology (SMT) is a governance-relative formal framework for evaluating semantic continuity under admissible transformation. Rather than treating meaning-preservation as a function of similarity, embedding proximity, or latent geometry, SMT models continuity as an authority-governed invariant-survival problem. The framework introduces bindings, admissibility constraints, authority regimes, path-governance semantics, and collapse conditions for semantic systems operating under constitutional continuity rules. SMT defines semantic manifolds not as smooth latent spaces but as governance-relative reachability structures induced by lawful participation and admissible traversal. The framework supports constitutional AI systems, governed orchestration, semantic provenance, admissibility-gated retrieval, Constitutional Semantic Hashing (CSH), MCIR, CONDEX, and Constitutional Meaning Bases (CMB). The work additionally demonstrates operational SMT behavior within a constitutional orchestration harness, where retrieval, interpretation, memory participation, and semantic traversal are governed through receipt-bound admissibility structures rather than statistical similarity alone.