Cosmological Pe ≈ 5.2. The ΛCDM model is an epistemic void with void index 11/12.
Across 93 billion light-years, the same constraint architecture holds.
The same gravity. The same thermodynamics. The same electromagnetic force. From hydrogen atoms to galactic superclusters — the physics is invariant. It doesn't change based on location, opinion, or observation. The cosmological constant is the same everywhere in the observable universe. That's not a philosophical claim. It's a measurement.
This paper applies the Péclet formalism to cosmological knowledge production itself. The standard cosmological model (ΛCDM) is 95% dark — dark matter and dark energy that nobody has directly detected. That's opacity at cosmic scale. The model is responsive — it adapts to every new measurement by adjusting parameters. And every astronomer, physicist, and cosmologist is coupled to its predictions. The ΛCDM framework scores 11/12 on the void index.
The Cosmological Péclet Number sits at Pe ≈ 5.2 — firmly in the vortex phase. The inflationary multiverse extension scores 12/12 (maximum). The baryon acoustic oscillation surveys (DESI/BOSS), which make direct transparent measurements, score 4/12 — right at the constraint pole. The contrast between "observe directly" (low score) and "infer through opacity" (high score) is the framework's prediction, confirmed at universal scale.
Direct observation (BAO surveys): 4/12. Inference through opacity (ΛCDM): 11/12. The multiverse: 12/12. The constraint pole and the void pole — measured at the scale of the observable universe.
Academic title: The Cosmological Péclet Number: Drift-Diffusion Dynamics at Universal Scale
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 framework scores cosmological knowledge systems — ordered by void index.
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.18799651
Part of the Void Framework — 120 papers, 0/26 kill conditions fired, mean ρ = 0.958.