Structural Medicine v1.1: Structural Lifespan and Emergence–Decay Dynamics in Integrated Structural Generation Theory (IGS)

This work introduces Structural Medicine v1. 1, a unified structural lifecycle framework that integrates structural emergence (SEI) and structural breakdown (medicine) within the Integrated Structural Generation Theory (IGS). The central concept is the structural lifespan, defined as the time interval during which a system maintains viability above a critical threshold: Tₗife = t | R (E, t) > 1 where the viability function R (E) = (C · Γ · dSC/dt) / Θ (E) captures the effective capacity of a system to sustain organized behavior. This formulation unifies three phases within a single minimal and falsifiable framework: - Emergence (SEI): increasing structural organization leading to threshold crossing- Persistence: sustained viability above the threshold- Decay (Structural Medicine): degradation of structure leading to loss of viability The framework further connects theoretical variables to measurable clinical observables, including imaging (MRI/CT), network activity (EEG/fMRI), longitudinal markers, and cognitive tests. Disease progression is interpreted as a measurable drift of these observables over time. All figures are reproducible and included with corresponding Python code. This work provides a unified structural interpretation of intelligence, biological organization, and disease, offering a minimal and directly testable foundation for understanding structural dynamics across domains.