Invariant Temporal Ordering and System-Dependent Rate Variation: A Structural Reinterpretation of Time and Measurement

This work presents the Invariant Temporal Ordering Framework (ITOF), in which time is interpreted as an invariant ordering of physical states rather than as a dynamical variable. Observable rate variation is attributed to system-dependent physical processes, interactions, and structural properties, rather than to variation in time itself. The formulation preserves agreement with established empirical observations while providing a distinct interpretational structure. Version V6 introduces further refinement of the conceptual and mathematical structure, including a clearer separation between invariant temporal ordering and system-dependent physical change, improved formulation of the measurement framework, and strengthened interpretation of observed rate variation. The framework remains consistent with relativistic observations while offering an alternative interpretation in which differences in observed rates are attributed to physical systems rather than to changes in time itself.