gwern comments on Cryonics without freezers: resurrection possibilities in a Big World - Less Wrong
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http://lesswrong.com/lw/ws/for_the_people_who_are_still_alive/
Google search query: "duplicate earth lightyears away site:lesswrong.com". Estimated time to search and go through first page: 30 seconds.
This is simply the distance where the information content of the position is on same order that the information content of the brain for which the second instance is being 'found'. Essentially, infinite universe allows to encode brains into spatial positions.
Dangit! Pointing to a Google search is normally my modus operandi.