Unified Spatiotemporal Coordination Framework: An Architectural Formulation of Δt-Based Therapeutic Coordination

Experimental research note This manuscript presents an experimental theoretical framework currently under active development.The concepts, terminology, and variable definitions are still being consolidated, and version consistency across related manuscripts has not yet been fully standardized. The present document integrates elements from a prior theoretical note and several tumor-specific analyses.It is released here for transparency and early documentation of the conceptual development process. This version should therefore be regarded as a working research manuscript, not a finalized publication.Subsequent versions may revise terminology, parameters, and structural definitions as the framework evolves. This work presents Version 4.0 of an evolving theoretical framework describing therapeutic efficacy as a spatiotemporal coordination process emerging from dynamically coupled biological and microenvironmental constraints. Rather than interpreting treatment outcome primarily through administered dose or drug potency, the framework formalizes therapeutic action as coordinated pressure sustained across time. The formulation integrates tumor burden, hypoxia, interstitial fluid pressure, extracellular signaling dynamics, and conditional immune amplification within a unified dynamical architecture. A central invariant, the effective coordination interval (Δt_eff), is defined as the time-integrated expression of coordinated therapeutic pressure. An inverse coupling mechanism is introduced whereby therapeutic response modifies microenvironmental constraints, enabling feedback between treatment action and accessibility conditions. Imaging-calibrated state interpretation, stochastic robustness, and a conservative Safe-Fail policy are incorporated as structural elements of the framework. A reduced clinical projection is presented as an observable approximation intended to support future operational development while preserving structural consistency with the full formulation. Version 4.0 is provided as a reference theoretical architecture rather than a validated clinical protocol. Empirical calibration and reproducible clinical operationalization are reserved for subsequent development stages.