Structural Medicine v1.3: Control, Intervention, and Irreversible Transitions in Structural Lifespan Dynamics

This work presents Structural Medicine v1.3, an extension of the Integrated Structural Generation Theory (IGS) that introduces control, intervention, and irreversible transitions into structural lifespan dynamics. Previous versions defined disease as structural transition (v1.0), introduced structural lifespan (v1.1), and interpreted diseases as trajectories in structural space (v1.2). In v1.3, we move from interpretation to control. We introduce a minimal dynamical model of structural persistence: dF/dt = -λF + αΓ + β(t)U(t) where λF represents structural decay, αΓ represents self-restoration, and β(t)U(t) represents external intervention. A central contribution is the definition of a structural irreversibility condition: αΓ + βU < λF This inequality defines a structural singularity beyond which recovery is no longer possible, even under intervention. We further introduce coupled dynamics between structural persistence and connectivity: dF/dt = -λF + αΓ dΓ/dt = -μΓ + ηF These equations capture cross-domain transitions, including the propagation of structural degradation across interacting subsystems. The framework is visualized through three core figures: - Fig11: Structural lifespan extension under intervention- Fig12: Structural singularity boundary separating recoverable and irreversible regions- Fig13: Coupled structural dynamics between F and Γ Together, these results establish a minimal and explicitly falsifiable framework in which disease progression is modeled as a controllable dynamical process. This framework does not replace empirical data; it reorganizes its interpretation within a unified structural language applicable to biological, cognitive, and artificial systems.