Phase Medicine Invariants of Biological Reintegrability under Radiative and Metabolic Stress

This work presents a unified theoretical framework derived from Causal Theory (CT) for describing biological systems as open, non-equilibrium causal systems. It focuses on their ability to maintain structural reintegrability under irreversible perturbations, including ionizing radiation (Z) and environmental fluxes (X). Key contributions include: Identification of Point X, a threshold defining whether a system can reintegrate after perturbation. Formalization of the interplay between external perturbations, ingestion/environmental inputs, and internal structural topology. Analysis of empirical data (e.g., \textit{Arabidopsis thaliana}) showing low residual damage and high reintegration consistency associated with invariant geometric ratios. Distinction between descriptive observation and prescriptive claims: the framework does not suggest interventions or protections, but provides a mathematically falsifiable model for survival and structural stability under stress. Integration of radiobiology, genetics, and metabolic geometry under a single causal invariant formalism, laying the foundation for what is termed Phase Medicine.