Invariant Temporal Ordering Framework V35/F15: Universal Cosmic Succession and System-Specific Physical Change

The Invariant Temporal Ordering Framework V35/F15 develops a foundational account of time based on a strict separation between universal temporal ordering and the physical changes realized by individual systems. Time is defined as the invariant universal ordering and succession of common cosmic stages in one common cosmic extension. On this account, time is not matter, energy, a field, a force, a physical system, a clock output, a signal, a coordinate value, a metric interval, a proper-time functional, or a causal agent. These quantities may have indispensable physical or mathematical roles, but their usefulness does not establish their identity with time. The framework assigns temporal unity to one universally common cosmic-stage domain and one fixed, irreversible earlier–later ordering. A common cosmic stage is not a private stage belonging to an individual system and is not produced by synchronizing separate system-specific times. Physical systems may have different states, mechanisms, rates of change, causal histories, and observational records while nevertheless being realized at one and the same common cosmic stage. Spatial separation and signal delay affect physical access and reconstruction; they do not divide the common stage into different temporal domains. V35/F15 distinguishes several foundational commitments that perform different logical functions. The Cosmic Stage Population Postulate requires every actual common cosmic stage to contain a nonempty physical-system population. The Cosmic Moment Axiom states that the complete population existing at a given common cosmic stage is realized at literally that same objective stage; it therefore excludes an ontology of independent private cosmic stages later equated by convention. Universal Change Continuity separately requires every physical system whose identity is realized at a common cosmic stage to undergo its own system-specific physical change there. The content, magnitude, mechanism, physical significance, consequence, and observability of that change remain properties of the individual system. The conjunction of population and universal system-specific change means that no actual populated cosmic stage is physically change-empty, while criterion-relative observational stability remains compatible with physical change below the resolution of a declared measurement. The cosmic succession is also distinguished from mathematical notions that are often implicitly attached to continuity. Uninterrupted succession does not mean that the cosmic order is mathematically dense, discrete, metrically continuous, equally spaced, or equipped with immediate successors. It excludes an independent temporal gap or waiting layer inserted between actual stages. Non-termination is a separate commitment: every actual common cosmic stage has a later common cosmic stage. V35/F15 therefore places continued cosmic succession directly in the cosmic-succession architecture rather than deriving it from the ending or successor histories of particular physical systems. Physical-system identity is treated through identity-bounded histories within the same common cosmic ordering. A system begins its own physical history when its numerical identity becomes physically realized and ends as that identity when an identity-ending transformation satisfies the applicable physical identity criterion and the same identity is not realized at later stages. Universal Eventual Identity Ending is retained as an independent lifecycle commitment requiring not only an ending for each qualified physical-system identity but also a nonempty strict pre-ending identity history. This excludes one-member completed identity histories without introducing a metric lifetime, a universal number of stages, or a cumulative threshold for ending. The framework also separates three notions that can otherwise be conflated: the earlier portion of a system’s formal history, historical physical accumulation, and the present cumulative physical resultant. Historical physical accumulation denotes the system-specific physical changes actually realized earlier in the system’s history. It is neither an arithmetic sum nor a stored historical object acting causally from the past. Earlier change may leave effects that persist, transform, combine, diminish, cancel, or cease. Only those retained or transformed effects that remain physically embodied in the current developed condition contribute to the present cumulative physical resultant. Identity ending is therefore not attributed to accumulation alone. Ending-specific causation belongs to the actual physical causal profile at the ending boundary, while the final change remains continuous with the same uninterrupted physical development that preceded it. Successor formation is likewise conditional rather than universal. The ending of one identity does not by itself require the production of another. A successor relation is asserted only where the ending transformation physically produces a genuinely new physical-system identity. Cosmic continuation is therefore independent of universal successor production. Observation is treated as a physical relation among sources, signals, propagation paths, detectors, record-bearing systems, and inference procedures. A valid record can warrant that a physical manifestation occurred within a system’s history without identifying the exact common cosmic stage at which it occurred or its exact position in the total cosmic ordering. Non-detection does not establish absence of physical change. Distant astronomical records illustrate this distinction: a large absolute signal-propagation delay does not erase the ordered development carried by successive records, while propagation, source motion, detector response, lensing, cosmological corrections, and uncertainty must be treated as physical components of the source–path–detector model rather than as alterations of time itself. Clocks are treated as physical systems that generate records. Clock comparisons therefore require physical response models, parameter provenance, acquisition conditions, uncertainty analysis, control channels, and explicit criteria for recovery, prediction, discrimination, and failure. Successful prediction of clock-record differences supports the relevant physical model within its tested domain; it does not establish that the clock output is time or that the universal cosmic ordering has changed. This distinction is decisive in the framework’s treatment of relativity. V35/F15 rejects the identification of relativistic coordinate time, proper-time functionals, metric intervals, synchronization relations, spacetime foliations, or clock readings with the entity denoted by time in ITOF. An interpretation that denies universal common cosmic realization conflicts directly with the Cosmic Moment Axiom at the foundational level. At the same time, ontological disagreement does not by itself constitute an experimentally discriminating prediction. Any empirical competition requires an independently specified physical bridge, explicit parameters, controlled uncertainty, model separation, and reproducible observational consequences. Predictive success and temporal identity are therefore treated as different questions. V35/F15 consequently presents ITOF as a typed foundational framework rather than a universal replacement dynamics. It fixes the meaning and ordering of time, the common-stage status of physical systems, the system-specific character of physical change, the structure of identity-bounded histories, the logical status of ending and successor relations, and the evidential limits of records and measurements. Detailed physical mechanisms and quantitative predictions remain the responsibility of independently specified domain physics. The result is a framework in which universal temporal ordering is kept conceptually distinct from the diverse physical processes, models, clocks, signals, and records through which change is physically realized and scientifically investigated.