Came across this question and saw where physicist Jim Al-Khalili gave an interesting answer (http://m.askers.co/landing/message/17446?1496950990184). I am curious about what others think and why.

None of the links on that page seemed to relate to the subject of your post. Perhaps I need a login or perhaps the site's not self-explanatory or perhaps something else. Could you summarize the point of view you are asking about? In any event, the sequence 0,1,0,1, ... is infinitely long but 2 never appears. Maybe you should define your terms. Uh ... 33 cents to listen? Is this a joke? And "in any event" #2: In the infinite sequence 0, 1, 0,0,0,0,0,0,... it's true that 0 does infinitely recur. But 1 doesn't. Conclusion: If the universe is infinite but a bounded region of spacetime only allows a finite number of states, then SOME state recurs infinitely often. Probably not the state representing YOU. Some sea slug probably. It's simply false as false can be that in an infinite number of trials "everything must happen." It's just false. Doesn't matter how many people on the Internet think it's true.

Ha. Thanks! I linked to the wrong answer. The one I was sharing was free: http://m.askers.co/landing/message/17916?1496954878571 Also, thank you for your explanation. That makes a lot of sense. Embarrassed to admit that I hadn't considered a finite number of states as you had put it in the 0,1,0,0,0... example. I was solely considering an infinite 0,1,0,1.... sequence where all states are constantly re-occurring.

There is another Thread claiming that an infinite universe need not & will not contain a copy of me or any other individual human being. Note that identical twins have different finger prints & different memories. If identical twins are not actually identical, how can it be expected that two unrelated (or less closely related) people be identical.

Oh it's perfectly sensible, even with fingerprints. A fingerprint is a particular configuration of atoms. There are only finitely many atoms in any bounded region of space (say the size of your fingertip). So there are only finitely many (a large number but still finite) of possible configurations of atoms, hence finitely many possible fingerprints. Now if there are infinitely many people, SOME particular fingerprint MUST recur infinitely many times. But not everyone's fingerprint recurs. All we can say for sure is that at least one fingerprint recurs. The same reasoning applies to a body-sized region of space. Only finitely many configurations of atoms, quarks, strings, etc. are possible. Hence SOME configuration recurs infinitely many times. Just not you, and possibly not a human being. Someone or something else most likely. But maybe you personally. It's possible. (Under the assumption that there are infinitely many disjoint regions of space -- a highly dubious assumption, or at least one totally at odds with current theory).

I wonder if this may be pertinent to the subject; https://academic.oup.com/logcom/art...nd-estimation?redirectedFrom=fulltext[/quote]

Also, I am not familiar with the term "Poincare Recurrence". I have read some about the Poincare Conjucture, which; Please Register or Log in to view the hidden image! https://en.wikipedia.org/wiki/Poincaré_conjecture Ok, found it; https://physics.stackexchange.com/questions/94122/is-poincare-recurrence-relevant-to-our-universe

Hello. Just a thought. What if I travelled from A to B? B---------->A Now. What if I travelled from A to B? --->A \ x\ xx\ --B> What does this state about the infinity of the universe?