Emergent Time Closure Ontology

Time is derived as an emergent, regime-dependent structure within a minimal correlational framework that postulates no fundamental entities, states, spacetime, or dynamics. Physical reality is described as an open correlational structure, accessed only through admissible projections that restrict and reorganize descriptive information. We show that the correlational substrate and its canonical response are intrinsically atemporal. Ordering relations arise only when projections induce stable relational structure among internal parameters. Physical time is identified with such ordering relations when they satisfy persistence conditions under admissible perturbations. Temporal directionality and irreversibility emerge exclusively from projection-induced asymmetry and irreversible structural information loss, rather than from fundamental dynamics. Internal parameters of the correlational structure are explicitly distinguished from physical time, eliminating hidden or multiple fundamental temporal variables. Different classes of projections give rise to distinct temporal regimes, including ordered propagating regimes, static regimes without time, and decoherent regimes with probabilistic temporal descriptions. This framework resolves the problem of time without circularity and reinterprets temporal concepts as emergent features of descriptive access. Time is neither fundamental nor illusory, but a structurally necessary consequence of the conditions under which physical description becomes possible.