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
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