> On 30 Sep 2019, at 00:15, Russell Standish <[email protected]> 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.

Of course, with mechanism, the “non cul-sac conjecture” is a definition. The 
Kripke semantic of G makes a cul-de-sac accessible at every world, and as we 
need a notion of probability, it can be show it will be given only by []p & 
<>t. “<>t” garanties that “here and now” is not a cul-de-sac, that is world 
from which no world is accessible. This is also given by <>t, or <>p,  replaced 
by the much stronger “p”, like in “[]p & p”, which gives back Socrates proof of 
the immortality of the soul, seen as the knower.




> 
> 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.

I am not sure. I think that in physics, many apparently "geographical things" 
might appear to be necessary, and related to the number 24, the big constant of 
the Modular Forms, and the Monster groups. 

It is a bit like the origin of life on Earth, I begin to think that without the 
moon, and without Jupiter (which protects us from comet) life could not have 
appeared or developed very much. It makes me thing we could be very rare in the 
physical universe (despite uncountable in some multiverse, and surely so in the 
arithmetical reality. 

Bruno



> 
> 
> -- 
> 
> ----------------------------------------------------------------------------
> Dr Russell Standish                    Phone 0425 253119 (mobile)
> Principal, High Performance Coders
> Visiting Senior Research Fellow        [email protected]
> Economics, Kingston University         http://www.hpcoders.com.au
> ----------------------------------------------------------------------------
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