On 9/29/2019 3:15 PM, Russell Standish wrote:
On Fri, Sep 27, 2019 at 06:27:16PM -0700, 'Brent Meeker' via Everything List 
wrote:
When I wrote "lowest" I was assuming the context of MWI...not a single
universe.  The Bekenstein bound implies that the Hubble volume has an upper
bound for information capacity of it's surface area in Planck units.  This
number is around 2.4e106.  So as I read Zurek, he thinks this provides a kind
of probability cutoff and branches less probable than 0.4e-106 have zero
probability.   And, more to the point, in the limit of large N, where N is the
number of degrees of freedom in the environment the off diagonal terms of the
reduced density matrix go to zero; but this cutoff makes them exactly zero for
N>2.41e106.  I haven't figured out many branchings it would take to reach this
number, but with some 1e98 particles it wouldn't take very many.

Brent
Its an interesting idea, and a plausible mechanism for denying the
"no cul-de-sac conjecture" and quantum immortality.

However, I do have to wonder the significance of a 2.4x10^106 planck
distance quare hubble volume. This surely is a geographical factoid
rather than of fundamental significance.

It's not /just/ geographical.  The Bekenstein bound on the information that can be contained within a the Hubble sphere depends on how big the sphere is which in turn depends on the expansion rate of the universe.  The expansion rate of the universe might be a fundamental constant.

Brent



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