Is the Infinite monkey theorem helpful for determining the existence of the very same our universe somewhere else?
closed as not constructive by Sklivvz♦, Manishearth♦ Dec 29 '12 at 21:27
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No. Well, not really, though some amusement can be had by calculating how far you'd have to go to find an exact copy of your mother in law. However these calculations are not based on any rigorous science, so while they're fun take care with them.
The basic idea is that if you take some system (e.g. your mother in law) containing $n$ Planck volumes then the maximum number of configurations of this system is 2$^n$. So you need to look at about 2$^n$ such volumes to stand a reasonable chance of finding a duplicate of your mother in law. This is the origin of claims that an exact copy of the Earth must exist if you take a big enough region of the universe. Whether such claims have any physical validity is open to debate.
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