On 09 Dec 2012, at 02:23, meekerdb wrote:
On 12/8/2012 2:47 AM, Bruno Marchal wrote:
People change over time and the meaning of the pronoun associated
with that changing person will change over time too, and the
meaning of the pronoun will change even more suddenly if a
duplicating chamber is used.
But both remember the protocol, and make sense of the P=1/2, and
use it correctly in future iterated experiences.
I suppose P=1/2 comes from an implicit symmetry. But that's not
analogous to probabilities in QM which and take a range of real
values. And that's one of the problems with Everett's MWI - it
implies that when there are two equi-probable choices then there
must be two orthogonal worlds which by symmetry have
probability 1/2, but if the two outcomes have probabilities
0.5+x and 0.5-x where x is some transcendental number then
infinitely many parallel worlds must come into existence to
instantiate the right measure, even though x is very small.
In QM+CTM, the probabilities are given by P = A^2 (with A the
amplitude of the wave, and it gives the relative measure, always on an
infinite sets of worlds). I know this can be debated (and infinities
can be replaced by big numbers in some discrete physics, but they
contradict CTM).
In "pure CTM", you can manage to have any proportion you want in any
iteration, if only by "killing" some consistent extensions.
Bruno
Brent
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