What question did this study set out to answer?

The aim is to establish the basic reproduction number R₀ as a Péclet number within the SIR model framework.

February 28, 2026Open Access

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

Key Points

The aim is to establish the basic reproduction number R₀ as a Péclet number within the SIR model framework.
Formally defines R₀ as the ratio of transmission drift to recovery diffusion.
Derives epidemic theorems from theoretical foundations.
Analyzes existing epidemiological data to support predictions.
Identifies super-spreader events as key population amplification cascades.
Frames herd immunity within a theoretical coupling floor.
Highlights the impact of regulatory capture on credibility of health organizations.

Abstract

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.

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Cite This Study

Anthony W. Eckert (Thu,) studied this question.

synapsesocial.com/papers/69a286950a974eb0d3c01a87 https://doi.org/https://doi.org/10.5281/zenodo.18792539

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