On Mon, May 03, 2010 at 02:08:44PM -0400, Jesse Mazer wrote: > If this notion of considering the frequency of different finite sequences in > an infinite sequence is a well-defined one, perhaps something similar could > also be applied to an infinite spacetime and the frequency of Boltzmann > brains vs. ordinary observers, although the mathematical definition would > presumably be more tricky. You could consider finite-sized chunks of > spacetime, or finite-sized spin networks or something in quantum gravity, > and then look at the relative frequency of all the ones of a given "size" > large enough to contain macroscopic observers. Suppose you knew the > frequency F1 of "chunks" that appeared to be part of the early history of a > baby universe, with entropy proceeding from lower on one end to higher on > the other end, vs. the frequency F2 of "chunks" that seem to be part of a de > Sitter space that had high entropy on both ends. Then if you could also > estimate the average number N1 of ordinary observers that would be found in > a chunk of the first type, and the average number N2 of Boltzmann brains > that would be found spontaneously arising in a chunk of the second type, > then if F1*N1 was much greater than F2*N2 you'd have a justification for > saying that a typical observer is much more likely to be an ordinary one > than a Boltzmann brain. > > Jesse >
It is far more likely that the distribution of Boltzmann brains follows a Solomonoff-Levin distribution, which arises from a uniform distribution over descriptions, and considering equivalences between those descriptions. I'm sure you've read my book, so you would be aquainted with the idea. -- ---------------------------------------------------------------------------- Prof Russell Standish Phone 0425 253119 (mobile) Mathematics UNSW SYDNEY 2052 hpco...@hpcoders.com.au Australia http://www.hpcoders.com.au ---------------------------------------------------------------------------- -- You received this message because you are subscribed to the Google Groups "Everything List" group. To post to this group, send email to everything-l...@googlegroups.com. To unsubscribe from this group, send email to everything-list+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/everything-list?hl=en.
