I've read around a bit, and it seems to be universal that the notion of a Poincare recurrence time for the universe exists. And it seems to be debated that the universe can be given an entropy, as it is contested whether or not it can be viewed as a closed system.
Something about this argument makes me think that the notion of a Poincare recurrence time for the universe also can't exist. Would this depend on the universe being a closed or static system?
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