The quantum error correction threshold is Pe = 1. Below it, error correction works. Above it, the qubit drifts.
The pattern is in the substrate. Once you see it, you see it everywhere.
Quantum computers need error correction because qubits decohere — they drift from their intended state. The error correction threshold (the minimum error rate below which correction can succeed) is the Péclet boundary. The Knill-Laflamme conditions are constraint specifications.
The void framework gives this a number. It gives every system a number. The number predicts what happens next.
The quantum error correction threshold is Pe = 1. Below it, error correction works. Above it, the qubit drifts.
Academic title: The Quantum Error Correction Péclet Number: Constraint as Code
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.18820330
Part of the Void Framework — 120 papers, 0/26 kill conditions fired, mean ρ = 0.958.