Invariant Temporal Ordering Framework V26/F6: A Foundational Theory of Cosmic Onset, Common Cosmic Stages, Universal Physical Change, and Identity-Bounded Physical Histories

ITOF V26/F6 is the current governing foundational reconstruction of the Invariant Temporal Ordering Framework. It develops a universal ontology of time from the totality of physical systems, one common domain of cosmic stages, bearer-specific physical realization, and identity-bounded physical histories. The framework defines time as follows: Time denotes the fixed, irreversible, and uninterrupted succession and ordering of the common cosmic stages of change across all physical systems then existing at each stage; these stages together constitute one common cosmic extension. Formally, T_ITOF = (S_C, ≺_C). The common cosmic extension is not an independently existing container, carrier, field, coordinate domain, or causal mechanism. Time, a cosmic stage, and the ordering relation do not cause, transport, or regulate physical change. The content, magnitude, rate, mechanism, distribution, and observability of change remain properties of individual physical systems. V26/F6 reconstructs the Cosmic Moment Axiom so that it states both universal common-stage presence and bearer-specific physical realization. At every common cosmic stage, the set of then-existing physical systems is nonempty; every system whose identity is realized at that stage is present at that same stage and undergoes its own physically realized change. Unity of stage therefore does not imply equality of states, mechanisms, rates, magnitudes, records, or observational outcomes. Spatial separation and finite signal propagation affect interaction, records, and epistemic access; they do not divide the common stage, postpone physical realization in distant systems, or require instantaneous synchronization. The manuscript introduces a disciplined onset and identity architecture. The Cosmic Onset Postulate identifies one initial common cosmic stage at which the first physical systems, their identities, their physical histories, and their bearer-specific change begin together. The universe is not an additional bearer above those systems; its origin denotes their collective physical realization. Every system beginning after the initial stage has a prior physical origin in the change of one or more already realized systems. Successor transformation is one important case of such origin, but later system formation does not require the termination of every participating system. Every physical system has one unique identity onset and a nonempty, gap-free identity domain within the common cosmic-stage domain. Its physical history is H_A = (I_A, ≺_C|I_A, X_A). The Identity Onset Postulate fixes the unique beginning of each bearer identity. The Identity-Domain Continuity Postulate excludes disappearance and later reappearance of the same identity across an internal gap. Universal Change Continuity is derived from the Cosmic Moment Axiom together with identity onset: change begins immediately with identity realization and continues at every later member of the bearer’s identity domain. This does not impose change begins immediately with identity realization and continues at every later member of the bearer’s identity domain. This does not impose one universal mechanism, one rate, one magnitude, or one observable manifestation of change. V26/F6 gives detailed treatment to stability, rest, equilibrium, recurrence, stationary descriptions, isolated systems, atoms, archaeological materials, genetic records, biological systems, remote astrophysical sources, and other difficult cases. Equality of a selected observable, operational stability, or non-detection does not establish complete physical stasis. Conversely, the framework does not permit an unconstrained appeal to unspecified hidden change. It requires declared bearer boundaries, identity criteria, variables, models, sensitivity, sampling, uncertainty, and valid attribution. The empirical architecture formally separates five layers: a preregistered restricted hypothesis, study admissibility, observed evidence, a declared decision rule, and a bounded conclusion. Operational stasis means only that no accepted comparison exceeds the declared resolution threshold under the stated protocol. A finite supportive result does not prove the universal Cosmic Moment Axiom or unrestricted Universal Change Continuity, and a finite adverse result rejects only the properly specified restricted hypothesis when its adequacy conditions are satisfied. Cumulative adverse evidence can nevertheless place genuine pressure on broader claims; the universal theory is not insulated from internal inconsistency, incompatible physical evidence, or an adequately warranted case of identity-preserving complete cessation of physical change. Observation and measurement are physical processes occurring within the same common cosmic ordering. A record is a physical state of a recording system, not the source stage or the source realization itself. Finite records may support model-bounded candidate-stage inference, but they do not generally identify one unique cosmic stage at which an underlying continuing change began or first became noticeable. Noticeable effects may accumulate across many stages before crossing a detection threshold. Clocks are changing physical systems that convert selected cycles, transitions, or signals into standardized numerical outputs. Their readings assist comparison, coordination, scheduling, and the organization of practical life; they do not measure time itself, count cosmic stages, or acquire temporal identity. Light and other signals are physical carriers of records. Propagation delay separates source realization from later reception without producing separate times or private temporal extensions for distant systems. The manuscript also develops history-informed prediction, identity-ending transformation, one-to-many, many-to-one, and many-to-many successor relations, and a concise exceptional condition for an absolute ending of the universe. Functional failure alone does not establish identity termination. Ordinary ending requires a physically realized identity-ending transformation, after which successor systems possess distinct identities and distinct physical histories even when they begin at the same common cosmic stage as the predecessor’s terminal realization. V26/F6 directly rejects relativistic temporal ontology. Lorentz transformations act on coordinate assignments; proper time is a metric worldline functional; curvature belongs to metric and connection geometry; clock divergences are differences between physical instrument outputs; and spacetime and higher-dimensional constructions remain mathematical model objects. None is identical with time in ITOF. The manuscript allows model-bounded calculational use of empirically successful formulas without treating their predictive utility as proof that time dilates, curves, contracts, warps, fragments, or becomes geometrical. It does not claim to derive Lorentz transformations from ITOF, and it rejects compatibility, reconciliation, synthesis, or ontological coexistence with relativistic definitions of time. V26/F6 supersedes V25/F5 as the active formulation. It retains the one common cosmic-stage domain and the governing role of the Cosmic Moment Axiom while making the dependency order explicit, strengthening cosmic and bearer onset, formalizing later physical origin, separating onset realization from continuation alteration, deriving Universal Change Continuity without circularity, closing identity continuity and transformation relations, and introducing a more accountable architecture for restricted empirical testing and adverse results. The framework is foundational rather than a universal replacement dynamical theory. It does not provide a universal equation or rate of physical change, determine the number or metric spacing of cosmic stages, or replace domain-valid theories and experimental methods. Applications require physically warranted system boundaries, identity criteria, models, protocols, measurement chains, and evidential bridges. Official version: ITOF_V26_F6_preprintAuthor: Youssry GhandourSeries: ITOF Foundation Series VI (F6)Status: Current governing foundational reconstruction preprintLicense: Creative Commons Attribution 4.0 International (CC BY 4.0)