TNA in Cardiovascular Systems: Throughput, Incoherence, and the Mechanics of Vascular Stability

Cardiovascular health is conventionally modeled through the lenses of blood pressure regulation, lipid metabolism, and hemodynamics. This paper introduces a novel framework based on the Theorem of Axiomatic Necessity (TNA), conceptualizing the heart and vasculature as an open, non-equilibrium system. In this model, vascular stability is maintained by a continuous throughput (Psi) that must effectively discharge incoming incoherence generation (G). When $G$ chronically exceeds $\Psi$, accumulated incoherence (aleph) manifests as arterial plaque, structural stiffness, and microvascular damage. By reframing conditions such as hypertension, atherosclerosis, and heart failure as throughput saturation events rather than isolated anatomical failures, the TNA provides a falsifiable and predictive engineering-based perspective. This unified framework integrates mechanistic physiology with lifestyle-based interventions, suggesting that vascular persistence is a function of maintaining a positive throughput margin.