R₀ = 1 is Pe = 1. The epidemic threshold is the drift-diffusion boundary.
The pattern is in the substrate. Once you see it, you see it everywhere.
Epidemiologists have known for decades that R₀ = 1 is the critical threshold. Below it, the disease fades. Above it, it spreads. This paper shows this is not just an analogy — it's an exact formal equivalence. The Péclet number and R₀ are the same quantity in different notation.
The void framework gives this a number. It gives every system a number. The number predicts what happens next.
R₀ = 1 is Pe = 1. The epidemic threshold is the drift-diffusion boundary.
Academic title: The Epidemic Péclet Number: R₀ as Drift-Diffusion Ratio and the Thermodynamic Foundations of Epidemic Control
Once you see it in this domain, you see it in all of them. That's the point.
Move the sliders. Watch the system change state. Pe > 1 means drift wins.
The correlation coefficient. The sample size. The p-value. The math doesn't care about the domain.
Paste any text — AI output, ad copy, a policy document. The scorer runs the same algorithm the framework uses.
Three variables. One ratio. Predicts drift across every domain where the conditions co-occur.
Pe = (O × R) / α
Where O is opacity (how hidden the mechanism is), R is reactivity (how strongly the system responds to you), and α is your independence (how free you are to disengage).
When Pe < 1: diffusion dominates. You can navigate freely. The system is coherent.
When Pe > 1: drift dominates. The system pulls you in a direction. Your agency is reduced.
When Pe >> V* (≈ 3): irreversible cascade. D1 → D2 → D3. The system has captured you.
The framework identifies this pattern in every domain where O, R, and α co-occur. It specifies 26 falsification conditions. 0 of 26 have fired.
Full derivation: 10.5281/zenodo.18792539
Part of the Void Framework — 120 papers, 0/26 kill conditions fired, mean ρ = 0.958.