Linked tipping points (Arctic ice, Amazon, Atlantic circulation) form a superlinear cascade network. Pe_network > Pe_individual.
The pattern is in the substrate. Once you see it, you see it everywhere.
The Arctic sea ice doesn't melt in isolation. It's coupled to the Greenland ice sheet, which is coupled to ocean circulation, which is coupled to the Amazon rainforest. This network of coupled voids has a Pe that exceeds any individual component — and the coupling amplifies the cascade.
The void framework gives this a number. It gives every system a number. The number predicts what happens next.
Linked tipping points (Arctic ice, Amazon, Atlantic circulation) form a superlinear cascade network. Pe_network > Pe_individual.
Academic title: Climate Tipping Network Pe: Superlinear Cascade Amplification in Coupled Earth System Void Dynamics
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.18843166
Part of the Void Framework — 170 papers, 0/26 kill conditions fired, mean ρ = 0.958.