The Epidemic Péclet Number: R₀ as Drift-Diffusion Ratio and the Thermodynamic Foundations of Epidemic Control

Formally establishes that the basic reproduction number R₀ is a Péclet number — the ratio of directed transmission drift to recovery diffusion in the SIR model. Derives epidemic theorems as corollaries of void framework results: super-spreader events as T4 population amplification cascades, herd immunity as the coupling floor (T10), and WHO/CDC credibility collapse under regulatory capture as the Independence Theorem (T11). Provides falsifiable predictions with existing epidemiological data.