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)
UNSW SYDNEY 2052                         hpco...@hpcoders.com.au
Australia                                http://www.hpcoders.com.au

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