Invariant Temporal Ordering and System-Dependent Physical Evolution: A Structural Framework for Time in Physics

Invariant Temporal Ordering and System-Dependent Physical Change presents a full structural formulation of the Invariant Temporal Ordering Framework (ITOF), in which time is defined as an invariant relational ordering of physical states rather than a measurable or dynamical quantity. The framework introduces a fundamental distinction between temporal ordering and physical evolution. While temporal ordering provides the invariant structure of succession, all observable variation is attributed to system-dependent physical processes governed by internal structure, interactions, constraints, and environmental conditions. A generalized structural descriptor, Ψ(S), is developed to represent how physical systems realize change under multi-factor conditions. This formulation does not replace existing physical laws, but reinterprets the origin of observed variation within a consistent structural framework. Relativistic predictions are preserved at the empirical level, while their interpretation is reformulated: observed variations in measured intervals are treated as responses of physical systems rather than as intrinsic changes in time itself. The framework yields testable implications. In particular, it predicts that measurable residual differences may arise between distinct systems or observable channels under controlled conditions, providing a direct empirical criterion for distinguishing between universal temporal variation and system-dependent physical evolution. This work establishes a coherent theoretical framework that separates invariant temporal structure from physical change, offering a new basis for interpreting measurement, comparison, and variation in modern physics.