Sexual selection, social dominance, and gambling cognition share identical drift-diffusion architecture. Different species, same Pe.
The pattern is in the substrate. Once you see it, you see it everywhere.
Darwin's finches adapted their beaks. Sexual selection adapted their displays. But the underlying drift-diffusion dynamics of fitness signaling follow the same Péclet structure — whether you're a peacock, a human trader, or a slot machine player.
The void framework gives this a number. It gives every system a number. The number predicts what happens next.
Sexual selection, social dominance, and gambling cognition share identical drift-diffusion architecture. Different species, same Pe.
Academic title: The Fitness Void: Three Independent Derivations of the Void Péclet Number
Move the sliders. Watch the system change state. Pe > 1 means drift wins.
The framework scores these systems — ordered by Pe.
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.18746147
Part of the Void Framework — 170 papers, 0/26 kill conditions fired, mean ρ = 0.958.