A Grand Unified Hemodynamic Model of Contrast Media: From Macroscopic Thermodynamics to Quantum Collision Dynamics

This paper proposes a novel theoretical pipelinefor diagnostic contrast media, integrating multi-ple physical and mathematical disciplines. Weestablish a deterministic trajectory starting fromthermal preconditioning and fluidic viscosity re-duction, transitioning through fractal dimension-ality collapse in capillary networks. The macro-scopic flow dynamics are algebraically mapped viaSO(3) rotational matrices to bypass non-linear tur-bulence. Ultimately, the framework terminatesin a Quantum Electrodynamical (QED) scatter-ing model, theoretically nullifying photoelectric ab-sorption through free-fermion boundary conditionsand deriving the absolute limit of Compton scat-tering via the Klein-Nishina cross-section.