Thanks a lot for a detailed and simple answer! I have many keywords now to read more on. I just read about Poincaré's recurrence theorem here: https://en.wik

Thanks a lot for a detailed and simple answer! I have many keywords now to read more on. I just read about Poincaré's recurrence theorem here: https://en.wikipedia.org/wiki/Poincar%C3%A9_recurrence_theorem https://en.wikipedia.org/wiki/Poincar%C3%A9_recurrence_theor... Even with this, would the Poincaré recurrence time not be (probabilistically) be very large for any complex system, and thereby practically imply the second law of thermodynamics? I also just re-read about Maxwell's demon (https://en.wikipedia.org/wiki/Maxwell%27s_demon https://en.wikipedia.org/wiki/Maxwell%27s_demon), but see that there are already various arguments against it even before arguments about the demon moving the system towards Poincaré recurrence. Thanks.