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Somewhat related concept: http://en.wikipedia.org/wiki/Boltzmann_brain

The estimated time for a Boltzmann Brain to appear in the dead vacuum of space from random spontaneous entropy decrease is on the order of 10^10^50 years[0]. No time at all, compared to infinity.

[0]: http://en.wikipedia.org/wiki/Timeline_of_the_far_future#Post...

You are much more likely to be half of a boltzmann brain with the input from the other half fed by random fluctuations.

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