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Sep 18, 2022 at 22:29 comment added Chiral Anomaly @AndrewSteane That's a good point. In a system governed by reversible microscopic laws, we can tune the initial conditions so that the system ends up in any special state we want. Still, if we view probability in the Bayesian sense as advocated by Jaynes, then we can think about the second law something like this: if we don't know that the initial conditions are tuned in any special way, then the safest bet is that the molecules will end up distributed throughout the whole available space. I admit that's not quite what I said in my answer, though, so I'm glad you highlighted the issue.
Sep 14, 2022 at 7:43 comment added Andrew Steane ... the point being that molecules are not like coins jiggling independently. If, after an increase of entropy, we reverse the velocities then after that the entropy will decrease. The physical state at the reversal of velocities cannot be ruled out a priori.
Sep 14, 2022 at 7:38 comment added Andrew Steane What about correlations in the initial state? I mean Loschmidt's paradox and the like. Surely this issue is central and may not be simply omitted or ignored.
Nov 9, 2018 at 13:20 comment added Nicolas Man, that's probably the best answer to this question there's going to be, ever.
Nov 8, 2018 at 18:18 vote accept Dimitris
Nov 8, 2018 at 16:52 history edited Chiral Anomaly CC BY-SA 4.0
Worded more carefully
Nov 8, 2018 at 15:48 history answered Chiral Anomaly CC BY-SA 4.0