On 2/21/2020 4:19 PM, Bruce Kellett wrote:
On Sat, Feb 22, 2020 at 11:11 AM smitra <[email protected]
<mailto:[email protected]>> wrote:
On 16-02-2020 06:34, Bruce Kellett wrote:
>
> The probabilistic interpretation of QM arose in a single-world,
> collapse, model. Attempting to graft probability on to
many-worlds is
> a failure, as my arguments against Everett show. If the data for any
> sequence of trials are independent of the amplitudes, then some
ad hoc
> probability interpretation of the amplitudes is not going to affect
> the data. But the data is what we use to infer that Born rule
> probabilities are what we observe. This is a single-world result.
>
> Bruce
It's only a failure when attempting to describe the state in the
multiverse in that particular way where you can argue that the
amplitudes don't matter. It's not an argument against the multiverse
idea, as whether or not you have a large number of copies should not
affect the statistical outcome observed in any experiment.
No. And it has not been suggested that it will. But that is just to
take a single-world approach: statistics work fine in each branch of
the multiverse (each world), but the concepts of probability and the
Born rule break down when every result is obtained in experiments
because the data obtained in each world are independent of the
amplitudes of the original state.
This objection seems to rest on the idea that the set of sequences
(across all the worlds) cannot be regarded as an ensemble from which one
is picked by self-location. Otherwise applying probability theory to
the ensemble recovers the one-world statistics. Right? Of course you
can say there really is no ensemble (that is accessible to anyone), but
that's true of the hypothetical ensembles invoked in statistics all the
time.
Brent
Bruce
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