CO-001 - Continuity Ontology: A Foundational Ontology of Persistence, Recoverability, Identity, Irreversibility, and Continuity Across State Transition

CO-001 formalizes a continuity-centered ontology governing persistence, recoverability, identity, irreversibility, admissibility, and continuity across state evolution within the Recoverability-Constrained Systems corpus. The framework establishes continuity not merely as an operational property of systems, but as a foundational ontological condition governing the persistence of distinguishable entities across transition. The ontology formalizes: state, transition, continuity, persistence, identity, recoverability, irreversibility, dependency, admissibility, collapse, reconstruction, continuity topology, as primitive ontological structures. CO-001 establishes: identity as continuity preserved across admissible transition, existence as recoverable distinguishability preserved across transition, irreversibility as ontological continuity loss, continuity topology as mathematically formalizable continuity structure, and continuity-bearing existence as recursively stabilizable under recoverability-constrained transition conditions. Under this interpretation: biological systems, informational systems, institutions, ecosystems, civilizations, computational systems, and artificial intelligence systems are treated as continuity-bearing entities whose persistence depends upon recoverable transition conditions. The ontological structures formalized in CO-001 are mathematically stabilized through the recursively closed continuity mathematics established in CM-001. CO-001 derives from: TCB-001 - Terminal Conceptual Boundary, recursively closed continuity mathematics, and the Recoverability-Constrained Systems corpus, and functions as the ontological foundation beneath: recursively closed continuity mathematics, continuity logic, continuity science, substrate sciences, civilization continuity architectures, recoverability-constrained operational systems. The publication establishes continuity ontology as: a recursively stabilized continuity ontology, a recoverability-centered ontology of persistence, and an ontological bridge between recursive conceptual boundary conditions and operational continuity systems. CO-001 formalizes a recursively stabilized continuity ontology governing persistence, recoverability, admissibility, identity, irreversibility, continuity-bearing existence, and continuity-preserving transition beneath recursively closed continuity mathematics, continuity logic, continuity science, substrate sciences, and civilization continuity architectures within the Recoverability-Constrained Systems corpus.