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This topic has appeared in the English Wikipedia rankings 1 time. It first appeared on 2026-06-17 and was most recently seen on 2026-06-17.
In mathematics and physics, the Poincaré recurrence theorem states that certain dynamical systems will, after a sufficiently long but finite time, almost certainly return to a state arbitrarily close to their initial state. The result applies to isolated mechanical systems subject to some constraints, e.g., all particles must be bound to a finite volume. Systems to which the Poincaré recurrence theorem applies are called conservative systems. The Poincaré recurrence time is the length of time elapsed until the recurrence. This time may vary greatly depending on the exact initial state and required degree of closeness.
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