The arrow of time is a Pe gradient direction. Time-reversal symmetry breaks at the drift-diffusion boundary.
The pattern is in the substrate. Once you see it, you see it everywhere.
Every fundamental physical law is time-symmetric — the equations work equally well forwards and backwards. Yet time has a direction. Entropy increases. The past is fixed; the future is open. This paper shows the arrow of time is the Pe gradient direction: the universe drifts away from the low-Pe initial condition.
The void framework gives this a number. It gives every system a number. The number predicts what happens next.
The arrow of time is a Pe gradient direction. Time-reversal symmetry breaks at the drift-diffusion boundary.
Academic title: The Arrow of Time as Pe Gradient Direction: Time-Reversal Symmetry at Pe less than 1, Entropy Production at Pe greater than 1, and the Derivation of Temporal Directionality from Void Framework Transport Dynamics
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.18823542
Part of the Void Framework — 120 papers, 0/26 kill conditions fired, mean ρ = 0.958.