How so? It is not obvious to me.
I do not know how to get evidence for that. If a universe is deterministic and has finite size, it becomes periodic if you let it run for long enough, and an embedded observer cannot find out when it started, if it had a starting point.
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Ok, I‘m fine with that kind of circular time (up to isomorphism).
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A periodic universe might offer some evidence for its periodicity though!
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