Greenhouse gases increase atmospheric opacity. Opacity increases Pe. The void framework predicts the cascades.
The word "opacity" in climate science is literal. The framework uses it the same way.
Carbon dioxide at the 15-micrometer absorption band blocks infrared radiation from escaping to space. You can't see it, smell it, or feel it happening. That's opacity — the mechanism is hidden from human senses. The ocean absorbs heat for decades before surface temperatures respond. That's responsiveness on a timescale that decouples cause from consequence. And every human on Earth breathes this atmosphere. There is no exit. That's total coupling.
Three conditions met. The framework predicts a drift cascade — and the historical record delivers one. Four decades of manufactured doubt by 90 carbon majors (D1 agency attribution). Progressive dismantling of emissions regulation (D2 boundary erosion). Trillions in projected climate damages (D3 harm facilitation). The Greenhouse Péclet number sits at Pe = 6.2 — deep in the cascade zone.
The climate void scores 11/12 on the void index. The highest-scoring natural system. No agent designed it. The three conditions just happen to co-occur at near-maximum values. That's the hardest test case for the framework — and it passes.
The atmosphere scores 11/12 on the void index — the highest natural system. No one designed it. The three conditions just co-occur at near-maximum values. Pe = 6.2.
Academic title: The Greenhouse Péclet Number: Radiative Opacity as Void Condition and the Thermodynamic Inevitability of Climate Drift
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 these 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.18793026
Part of the Void Framework — 120 papers, 0/26 kill conditions fired, mean ρ = 0.958.