In a Boltzmannian universe, there are lots of moments that recur — if not precisely, then to any degree of precision you might want. In an approximate sense, most moments of a Boltzmannian universe are like all the others, because all moments in equilibrium are roughly the same. The bulk quantities, such as temperature and density, that measure averages are uniform. True, the atoms fluctuate around those averages but almost never enough to amount to macroscopic levels of structure and organization. In a Boltzmannian universe, if you wait long enough the universe will come as close as you like
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