Invariant Temporal Ordering Framework V37/F17: Universal Cosmic Extension, Integrated Universal Common-Stage Change Realization, and Quantitative Bridge Architecture

The Invariant Temporal Ordering Framework V37/F17 defines time as the one universal cosmic extension of common cosmic change stages, constituted by their invariant earlier–later ordering and succession. Time is not matter, energy, a field, a force, a coordinate, a metric interval, a proper-time functional, a clock output, or a physical cause. These may describe physical systems and their behavior, but they remain distinct from the temporal referent itself. The universal earlier–later relation is strict and irreversible. A later stage remains later even if a physical system later realizes a state equivalent to an earlier one. State recurrence therefore does not imply temporal reversal. NoInterruption and NoTerminalStage separately govern succession without turning time into a metric continuum, stage-count scale, topology, or moving temporal medium. The physical architecture rests on three distinct commitments. CSPP requires a nonempty qualified physical-system population at every admitted common cosmic stage. CMA requires the complete then-realized qualified population to be literally co-realized at one and the same objective common cosmic stage. This unity is not produced by synchronization, signals, coordinates, spatial proximity, or interaction. UCC independently requires every qualified system to realize its own bearer-specific physical change throughout its identity range, without imposing a universal magnitude, rate, mechanism, or observable signature of change. Integrated UCSCR collects these distinct commitments without replacing them. The complete physical-realization profile then represents, at a common stage, the qualified population together with system-specific states, changes, and causal contributors. It enriches the physical description of what is realized at a stage without becoming a universal state of the universe or an additional component of time. Each qualified physical system has an identity-bounded physical history within the same universal order rather than a private time. Formation is the realization of a new numerical identity; ending is the physical transformation through which that identity ceases. A direct successor is attributed only where the ending transformation physically produces a distinct new numerical identity. Historical effects may remain embodied in the present state, but the past is not treated as a separate causal object acting from an earlier stage. Physical causation remains distinct from time. Time, the common stage, and the ordering relation do not cause change. Actual change requires physically admissible contributors internal to the system, external physical systems, or other external physical factors. This distinction remains valid across deterministic, stochastic, and quantum models. The same discipline governs observation. Physical models produce predictions; measurement bridges connect predictions to records; clocks and detectors are physical systems whose outputs depend on physical conditions. A successful clock model does not make a clock reading identical with time. V37/F17 applies the same distinction to relativity. Lorentz transformations, spacetime metrics, coordinate systems, synchronization procedures, and proper-time functionals may remain mathematically and physically useful, but ITOF does not identify them with the universal temporal referent. The foundational conflict arises where objective universal common-stage co-realization is denied. Experimental discrimination, however, requires an independently warranted physical difference that produces a genuinely distinct observable. V37/F17 therefore presents one universal temporal order and succession together with physically plural realization: many systems, states, changes, identities, histories, causes, and observations within one invariant universal cosmic ordering.