On Mon, Aug 25, 2014 at 12:10:49AM -0700, meekerdb wrote: > On 8/24/2014 9:18 PM, Russell Standish wrote: > >On Sun, Aug 24, 2014 at 08:56:03PM -0700, meekerdb wrote: > >>I think the idea is that quantum randomness is just > >>first-person-indeterminancy relative to the universes of the > >>multiverse. The holographic principle would imply that the > >>information content of any universe is always finite. If there are > >>infinitely many universes (per eternal inflation) then there would > >>be infinitely many copies of distinct universe. Or invoking > >>Leibniz's identity of indiscernibles there would be finitely many > >>distinct universes, but the number of those that are expanding would > >>increase without bound. So that would all be consistent with > >>"comp". > >> > >Why finitely many distinct universes? The number of things of finite > >information content will be \aleph_0, not finite. > > > >You would only get finitely many distinct universes if the information > >content is bounded for some reason, but I don't see any theory giving > >that - even the Lloyd limit only refers to this universe, not any > >others that might be out there. > > The holographic theory implies that any volume enclosed by an event > horizon can contain at most a number of bits of information equal to > it's surface area in Planck units. Since in an expanding universe > the Hubble sphere defines an event horizon, that would imply finite > information in each Hubble sphere volume. > > Of course this is a speculative application of the Beckenstein > bound, but it does give right order of magnitude value for the > cosmological constant if the degrees of freedom of quantum fields > are constrained this way. > > Brent >
My point was that even though each bubble universe had finite information content, there was no upper bound to the amount of information a bubble universe could contain. If I specify a certain ginormous number of bits, then somewhere in the level 2 multiverse, one will find a bubble universe whose information content exceeds that value. Cheers -- ---------------------------------------------------------------------------- Prof Russell Standish Phone 0425 253119 (mobile) Principal, High Performance Coders Visiting Professor of Mathematics [email protected] University of New South Wales http://www.hpcoders.com.au Latest project: The Amoeba's Secret (http://www.hpcoders.com.au/AmoebasSecret.html) ---------------------------------------------------------------------------- -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To post to this group, send email to [email protected]. Visit this group at http://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/d/optout.
