Invariant Temporal Ordering Framework (ITOF) V14: Structure-Dependent Measurable Realization within Invariant Ordered Succession

This preprint presents Version 14 of the Invariant Temporal Ordering Framework (ITOF), a unified ontological and operational framework in which time is defined as invariant ordered succession rather than measurable duration, dynamical flow, accumulated physical change, or a directly deformable physical entity. Within the framework, temporal ontology is represented as an invariant succession structure underlying physically distinguishable states, while observable measurable evolution is assigned to physical systems, interaction pathways, structural response organization, and realization-dependent measurable behavior. ITOF V14 develops a generalized structure-dependent realization architecture in which measurable physical response emerges through organized interaction between physical influence and physical structure: ΔXA = FA (ΘA, E₁, E₂,. . . , Eₙ). Here, measurable evolution depends on the structure-dependent response organization of the system and the physical influences acting on it. Observable asymmetry, nonlinear response behavior, comparative residual structure, coupled interaction effects, and measurable diversity are therefore interpreted as properties of physical realization rather than measurable deformation of temporal ontology itself. The manuscript further develops comparative residual architecture, nonlinear realization behavior, coupled multi-influence response, operational geometry, relativistic measurement reinterpretation, interaction-level grounding pathways, and progressive empirical constraint structure across multiple measurable domains, including pressure-sensitive systems, chemical realization systems, resonant environments, and coupled interaction architectures. Experimentally observed relativistic phenomena are preserved as operationally valid observable structures, while their explanatory interpretation is assigned to structure-dependent physical response within invariant ordered succession rather than to measurable deformation of time itself. Version 14 represents the most comprehensive formulation of ITOF to date. It integrates invariant temporal ontology, measurable physical evolution, comparative residual structure, constrained structural diversity, nonlinear and coupled realization behavior, operational geometry, experimental architecture, and progressive interaction-level grounding into a unified theoretical framework.