My apologies. By "generally infinite" I merely meant "generally thought of as infinite," not like I was invoking some special class of nigh-infinitude. By the w

My apologies. By "generally infinite" I merely meant "generally thought of as infinite," not like I was invoking some special class of nigh-infinitude. By the way, I wouldn't say an infinite universe doesn't necessarily imply that everything exactly repeats. Take any irrational number like pi. We know for a fact that it doesn't repeat itself exactly because if it did, it would not be irrational. Although it seems likely that pi is "normal" and that any finite segment of it will repeat infinitely many times, that is not a requirement of all infinite numbers. One could imagine a number called pu where every 9 but the first is replaced with a 0. So, 3.1415926535807032, etc. What can we say about pu? It a) is an actual number with a precise definition, b) is infinitely long, c) is aperiodic thus irrational, but d) only has one 9 in its entire infinitely long decimal expansion. Similarly, the cosmos might conceivably have some "one off" features that never repeat, even if it is infinite. But I still haven't answered your question. My answer is, yes, if spacetime curvature is exactly 0, then it's my understanding (as a non-cosmologist) that the equations imply that the universe is that infinite such that conceivably everything could in principle repeat an infinite number of times. Although I myself am curious what the estimated size of just the non-repeating part would be.