Invariant Temporal Ordering Framework V38/F18: Invariant Cosmic Extension, Objective Common-Stage Co-Presence, and Universal Change Continuity

The Invariant Temporal Ordering Framework (ITOF V38/F18) develops a formal account of time as the invariant cosmic extension and objective earlier–later succession of common cosmic stages of physically realized change. The temporal referent is represented by the ordered structure \\(T_{\\mathrm{ITOF}}=(\\mathcal S_C^{\\mathrm{tot}},\\prec_C)\\), where \\(\\mathcal S_C^{\\mathrm{tot}}\\) is the formal domain of admitted cosmic stages and \\(\\prec_C\\) is their objective invariant earlier–later ordering. Time is therefore distinguished from matter, energy, forces, fields, physical media, spatial coordinates, coordinate time, spacetime metrics, proper-time functionals, clock outputs, signals, records, and causal mechanisms. V38/F18 separates four roles that are often conflated in descriptions of temporal phenomena. Stage admissibility requires actual physical change in at least one qualified physical system. The Cosmic Moment Axiom (CMA) states that the complete qualified physical-system population realized at an admitted stage is objectively co-present at that same common cosmic stage. Universal Change Continuity (UCC) independently requires every qualified physical system to realize actual system-specific physical change throughout its realized identity range. The Causal Realization Postulate (CRP) separately governs the physically realized causes and contributors of change. CMA therefore concerns common-stage co-presence, UCC concerns continuing physical-change actuality, and CRP concerns causal realization; none of these functions is identified with the definition of time itself. The framework distinguishes qualified physical systems from non-system physical factors and introduces stage-relative system, factor, and physical-totality structures. Physical causes and contributors of change are organized into internal contributors of the affected system, external influencing physical systems, and external influencing non-system physical factors. Their effects are not assumed to be independent or linearly additive: the realized change may depend on interaction, reinforcement, opposition, transformation, constraint, structural susceptibility, coupling, internal cohesion, and the physical state of the affected system. ITOF also separates temporal ontology from spatial and spacetime representation. Spatial coordinates characterize the geometrical position of physical systems within a declared frame or model; they do not constitute time. CMA does not require spatial coincidence or equality of coordinates. Any mapping from cosmic stages to spacetime events, event sets, or hypersurfaces is treated as an additional representation bridge rather than as the definition of a cosmic stage or of time. The framework further addresses physical-system identity, formation boundaries, identity ending, conditional successor attribution, system-specific physical histories, measurement and record generation, clock models, relativistic representation, and quantum stationary-state tests. A warranted instance of complete physical non-change in a qualified physical system constitutes a direct countercondition to UCC; finite non-detection or a changing global quantum phase alone is not treated as sufficient evidence of physical change. V38/F18 does not claim that temporal ontology alone generates a unique observable residual. Empirical discrimination requires an independently specified physical model, a defined foundation-sensitive premise, a predeclared observable and measurement bridge, uncertainty control, and comparison with competing models on common physical inputs. The framework therefore keeps foundational commitments, physical dynamics, causal attribution, measurement, and empirical prediction formally distinct.