There are more 1 cubic-meters of matter units in a googolplex-meter-wide universe than there are possible quantum states of 1 cubic-meters of matter units, so at least one of those quantum states of 1 cubic-meters of matter occurs in more than one 1 cubic-meters of matter somewhere. In fact there are at least as many duplicates of some kind, to make up the difference between the number of possible states, and the number of total volumes. But, this does not imply that any particular configuration is duplicated. Heaven forbid there be more of me out there. Maybe a rather simple configuration accounts for Well, the universe has evidently produced you at least once, so we can certainly say the probability of producing you is nonzero.
Of course, you're the end result of a very long chain of events, encompassing all sorts of cultural, biological, planetary, astrophysical, and cosmological processes.
Ultimately well, to the extent of our cosmological knowledge your existence traces back to certain random quantum fluctuations during the inflationary era of the Big Bang, which acted as the seeds for galaxies to form, and so on. All of this would be done by exactly the same physical processes that produced you. It doesn't require that the universe be filled with a random distribution of all possible physical states; it only requires that whatever random processes contributed to your existence will randomly occur again, which they certainly will in a big enough universe.
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I won't attempt to quantify it, but if a googolplex meters is not enough, just make it bigger. That idea concerns repetition of states over time , due to arbitrarily-unlikely fluctuations occurring if you wait long enough, but it's straightforward to think also of repetition in space due to arbitrarily-unlikely fluctuations occurring if you have enough space for them to occur in. Another such argument was made by Jaume Garriga and Alexander Vilenkin, see here:. A generic prediction of inflation is that the thermalized region we inhabit is spatially infinite. Thus, it contains an infinite number of regions of the same size as our observable universe, which we shall denote as O-regions.
We argue that the number of possible histories which may take place inside of an O-region, from the time of recombination up to the present time, is finite. Hence, there are an infinite number of O-regions with identical histories up to the present, but which need not be identical in the future. Moreover, all histories which are not forbidden by conservation laws will occur in a finite fraction of all O-regions. The ensemble of O-regions is reminiscent of the ensemble of universes in the many-world picture of quantum mechanics.
An important difference, however, is that other O-regions are unquestionably real. But you can just consider all the useful information stored in your brain that you are aware of.
googol / googolplex
This means that the local environment only needs to be approximately the same. A copy of me doesn't have to have the exact same number of hairs growing in his head, because I have never counted the exact number. The Earth's radius can be several meters more or less. The copy of the Milky Way galaxy does not need to contain the exact same number of stars. Only what I am aware of must be the same, and it's only the awareness that counts not if it is actually true, although the two things will be strongly correlated.
Thank you for your interest in this question.
Because it has attracted low-quality or spam answers that had to be removed, posting an answer now requires 10 reputation on this site the association bonus does not count. Would you like to answer one of these unanswered questions instead? Home Questions Tags Users Unanswered. Ask Question. The claim can be summed up as this: In a universe which is "a Googolplex meters across", if you would travel far enough, you would expect to eventually begin finding duplicates of yourself. So, I'm curious to know two things: Who originally proposed this idea? EDIT To resolve some comments A note regarding the size of the universe, in respect to this question.
googolplex - Computer Definition
Stated at in the video. So, to simplify the problem for the purposes of this question, let's assume: Our universe is finite, and much less than a Googolplex in diameter.
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The "Googolplex Universe" suggested in the video, and in question here, is also finite. Iszi Iszi 1 1 gold badge 2 2 silver badges 9 9 bronze badges. Brandon Enright Rick Rick 31 1 1 bronze badge. There is no reason to believe that. Nathan Reed Nathan Reed 1, 11 11 silver badges 21 21 bronze badges.
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You get the idea. T : If you counted by 10, could you ever get to googolplex in your life? T : If you counted by 11,?
T : 12,? T : Well, what if you counted by googolplex? Me: Well sure. T : Googolplex. T : Eventually, numbers just go back to the beginning. Me: So if you keep counting, you get to zero? Me: One? T : No, Daddy!