# A finite inflationary history need not equilibrate

Positive, conservative Fokker–Planck evolution for a specified light spectator at fixed H, compared with the stationary distribution. Explicit initial conditions remain important. Only five saved times are played, with their unequal e-fold spacing labeled. This does not derive reheating, late domains or a cosmological measure.

Probability curves starting in opposite minima retain different weights over a finite duration. A central initial state spreads into both wells, and all are compared with the stationary reference.

## Potential tilt 0

Five independently saved finite-time distributions; equal playback intervals do not mean equal elapsed e-folds. No interpolation between solutions or reheating evolution is implied.

First: After 1 e-folds, positive-phase probabilities for initial fields −3, 0, +3 are 0.00000, 0.50000, 1.00000. These are conditional comoving-patch probabilities, not observer probabilities.

Last: After 2000 e-folds, positive-phase probabilities for initial fields −3, 0, +3 are 0.05515, 0.50000, 0.94485. These are conditional comoving-patch probabilities, not observer probabilities.

## Potential tilt 0.003

Five independently saved finite-time distributions; equal playback intervals do not mean equal elapsed e-folds. No interpolation between solutions or reheating evolution is implied.

First: After 1 e-folds, positive-phase probabilities for initial fields −3, 0, +3 are 0.00000, 0.49778, 1.00000. These are conditional comoving-patch probabilities, not observer probabilities.

Last: After 2000 e-folds, positive-phase probabilities for initial fields −3, 0, +3 are 0.04390, 0.46837, 0.93119. These are conditional comoving-patch probabilities, not observer probabilities.