V13·Act III · Time
Entropy rise and the ln N ceiling
Disagreement falling and entropy rising on one time axis, with ln N drawn as a hard lid the entropy curve presses against and settles under.
The relation on screen
The count of microstates consistent with a public record rises along repair, giving the second law a combinatorial reading.
Symbols
- number of microstates compatible with the record
- record entropy in nats
- equipartition ceiling
loading traces
what to look for · The trace approaches ln N from below and stops. That ceiling is equipartition.
Consensus to physics
- 01repair spreads probability over record classes
- 02the record-packet entropy rises as classes fill
- 03it saturates at ln N, the maximum for N patches
- 04the saturated state is equilibrium of the record ensemble
In standard physics
The second law, with equipartition at equilibrium
ln(65536) = 11.090355 and the run measures 11.084308, which is 99.945% of maximum. The 16k run reaches 99.979% of its own ceiling. Same behaviour at four times the scale.
boundary · Entropy of the record-class distribution in nats. Turning it into a thermodynamic entropy would need a temperature the run does not define.