Article 31(5) of the EU AI Act creates a structural thermodynamic constraint. This paper maps the isomorphism.
The pattern is in the substrate. Once you see it, you see it everywhere.
The legislators who drafted the EU AI Act didn't know about the Péclet number. But Article 31(5) — which prohibits notified body assessors from holding positions in the systems they assess — is a prohibition-ritual pair. The law independently derived the constraint.
The void framework gives this a number. It gives every system a number. The number predicts what happens next.
Article 31(5) of the EU AI Act creates a structural thermodynamic constraint. This paper maps the isomorphism.
Academic title: The Rosetta Stone: Mapping the Void Framework to EU AI Act Conformity Requirements
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.18746358
Part of the Void Framework — 170 papers, 0/26 kill conditions fired, mean ρ = 0.958.