If there's no collapse then every possible sequence of results is
observed in some world and the relative counts of UP v. DOWN in the
ensemble of worlds will have a binomial distribution. So for a large
numbers of trials those worlds in which UPs and DOWNs are roughly equal
will predominate, regardless of what the Born rule says. So in order
that the Born rule be satisfied for values other than 50/50 there must
be some kind of selective weight that enhances the number of sequences
close to the Born rule instead of every possible sequence being of equal
weight. But then that is inconsistent with both values occuring on
every trial.
Brent
On 10/12/2025 6:56 PM, Alan Grayson wrote:
Correct me if I'm mistaken, but as far as I know the wf has never been
observed; only the observations of the system it represents. This
being the case, in a large number of trials. Born's rulle will be
satisfied regardless of which interpretation an observer affirms;
either the MWI with no collapse of the wf, or Copenhagen with collapse
of the wf. That is, since we can only observe the statistical results
of an experiment from a this-world perspective, and we see that Born's
rule is satisfied, so I don't see how it can be argued that the rule
fails to be satisfied if the MWI is assumed. I think the same can be
said about the other worlds assumed by the MWI, namely, that IF we
could measure their results, the rule would likewise be satisfied.AG --
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