On 5/8/2022 3:42 PM, Bruce Kellett wrote:
On Mon, May 9, 2022 at 6:37 AM smitra <smi...@zonnet.nl> wrote:
On 08-05-2022 05:58, Bruce Kellett wrote:
> It is when you take the SE to imply that all possible outcomes exist
> on each trial. That gives all outcomes equal status.
All outcomes can exist without these being equally likely. One can
make
models based on more branches for certain outcomes, but these are
just
models that may not be correct.
Such models are certainly inconsistent with the SE. So if your concern
is that the SE does not contain provision for a collapse, then you
should doubt other theories that violate the SE. You can't have it
both ways: you can't reject collapse models because they violate the
SE and then embrace other models that also violate the SE. Either the
SE is universally correct, or it is not.
What matters is that such models can be
formulated in a mathematically consistent way, which demonstrates
that
there is n o contradiction. The physical plausibility of such
models is
another issue.
This has been discussed. To allow for real number probabilities, the
number of branches on each split must be infinite.
I don't think that's a problem. The number of information bits within a
Hubble sphere is something like the area in Planck units, which already
implies the continuum is a just a convenient approximation. If the area
is N then something order 1/N would be the smallest non-zero
probability. Also there would be a cutoff for the off-diagonal terms of
the density matrix. Once all the off-diagonal terms are zero then it's
like a mixed matrix and one could say that one of the diagonal terms has
"happened".
Brent
The measure problem for infinite numbers of branches has not been
solved. It is unlikely that any consistent measure over infinite
numbers of branches can be defined. So this idea is probably a
non-starter. At least other models have a reasonable chance of success.
Bruce
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