On 8/24/2014 9:24 PM, LizR wrote:
On 25 August 2014 16:18, Russell Standish <[email protected]
<mailto:[email protected]>> 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.
I imagine you can have universes of any (finite) age, much as you can have an
arbitrarily long trace generated by the UD. So there would be no logical upper limit on
the information capacity of universes. Perhaps.
The holographic principle wouldn't put an absolute bound on the information in a universe;
so long as it continued to expand the possible information in it would increase. But it
would be finite for every Hubble volume, even if the universe were spacially infinite. So
there would just be repetitions of "the same" universe.
Brent
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