Invariant Temporal Ordering Framework V33/F13: Cosmic Succession, Cumulative Physical Change, and Eventual Identity Ending

Abstract

The Invariant Temporal Ordering Framework (ITOF) V33/F13 develops a foundational account of time centered on one invariant universal cosmic ordering and the uninterrupted succession of common cosmic stages in one common cosmic extension. Time denotes this universal ordering and succession; it is not identified with matter, energy, a field, a force, a coordinate, a metric interval, a proper-time functional, a clock output, or a causal participant in physical change. The universe is defined as the physical totality constituted by all actually realized physical systems rather than as a container or additional bearer. At every common cosmic stage, all then-existing physical systems are co-present at that same common cosmic stage while each realizes its own bearer-specific physical change. The Cosmic Moment Axiom (CMA) governs this universal stagewise realization, and Universal Change Continuity (UCC) expresses the non-suspension of physical change throughout each realized bearer identity. V33/F13 introduces a decisive cumulative architecture. Previously realized bearer-specific changes generate actual cumulative physical change. The mathematical physical history represents that ordered past but is neither identical with the cumulative physical object nor itself a causal agent. The primitive postulate CPCES states that established universal cumulative physical change entails a unique eventual identity ending for every physical system. Under the full CMA+CPCES commitments, the entire cumulative physical change generated strictly before the ending stage is physically available there as one history-dependent input and, together with the operative bearer-specific causal profile, participates in the physical production of the identity-ending transformation. Necessary Successor Closure requires the realization of at least one distinct successor identity at each ending transformation. The framework distinguishes uninterrupted physical change from criterion-relative stability, recurrence, relative rest, and observability. Motion is one possible form of physical change, while physical change may be beneficial, harmful, mixed, neutral, minute, sub-threshold, or presently inaccessible to a declared observational protocol. Observation, clocks, and quantitative records are treated as physical and epistemic relations among changing bearers. The strengthened quantitative bridge includes carrier-specific response models, parameter provenance, uncertainty and covariance treatment, residual testing, out-of-sample evaluation, and a carrier-differential falsifiable comparison target. No completed experimental closure or independently derived nonzero differential coefficient is claimed. The carrier-differential double-ratio remains a predeclared falsifiable discrimination target rather than an achieved separating prediction. Relativistic quantities may serve as external numerical comparators, recovery targets, or rival predictions, but their empirical success does not transfer the identity of time to coordinates, metric intervals, proper-time functionals, spacetime geometry, synchronization conventions, or clock records.