sickofthisshit

3 ms·

1. 1.▲
   by sickofthisshit 3y ago

   I'm not sure exactly what you mean by "space of subsets". All I was trying to point out was that the argument that proves the recurrence theorem itself uses a volume of space around the initial state, and how "preimages&
2. 2.▲
   by sickofthisshit 3y ago

   Except the recurrence theorem applies to subsets of the space, not just elements. Your "doesn’t apply to a volume of states" isn't really an exception, apart from technicalities about subsets of measure zero.
3. 3.▲
   by sickofthisshit 3y ago

   There is a tension between them. If you take the second law as 'rigorous', the entropy must always increase. But Poincare recurrence says you will inevitably return to the lower entropy state, which of course is a violation. One w