On 3/5/2020 2:01 PM, Bruce Kellett wrote:
On Fri, Mar 6, 2020 at 8:17 AM 'Brent Meeker' via Everything List
<[email protected]
<mailto:[email protected]>> wrote:
On 3/5/2020 3:07 AM, Bruce Kellett wrote:
there is no "weight" that differentiates different branches.
Then the Born rule is false, and the whole of QM is false.
No, QM is not false. It is only Everett that is disconfirmed by
experiment.
Everett + mechanism + Gleason do solve the core of the problem.
No. As discussed with Brent, the Born rule cannot be derived
within the framework of Everettian QM. Gleason's theorem is
useful only if you have a prior proof of the existence of a
probability distribution. And you cannot achieve that within the
Everettian context. Even postulating the Born rule ad hoc and
imposing it by hand does not solve the problems with Everettian QM.
What needs to be derived or postulated is a probability measure on
Everett's multiple worlds. I agree that it can't be derived. But
I don't see that it can't be postulated that at each split the
branches are given a weight (or a multiplicity) so that over the
ensemble of branches the Born rule is statistically supported,
i.e. almost all sequences will satisfy the Born rule in the limit
of long sequences.
Unfortunately, that does not work. Linearity means that any weight
that you assign to particular result remains outside the strings, so
data within each string are independent of any such assigned weights.
The weights would not, therefore, show up in any experimental results.
The weights can only work in a single-world version of the model.
True. But the multiplicity still works.
Brent
Bruce
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