Poincaré Recurrence Theorem

The Poincaré Recurrence Theorem states that, in a finite, isolated system with conserved energy, the system's state will, after a very long but finite time, return arbitrarily close to its initial configuration. Essentially, given enough time, the system will nearly repeat its past states, although these recurrences may be extremely rare and occur over timescales much longer than human lifespans. This principle underscores the idea that in such systems, complete disorder will eventually give way to a near-original order due to the underlying deterministic dynamics.