AMA | October 2024

7751.766 - 7774.555 Sean Carroll

Even if you put aside questions of randomness and probability, under sufficiently controlled circumstances, you can prove that the system will do everything the system can possibly do given enough time. The time scale is what is called the Poincare recurrence time after Henri Poincare, and it is of order e to the power s, where s is the entropy of the system. So that is a huge time.