I don't think the Born rule is implied by MWI; but it's already known to be the only rational way to define a probability measure on a Hilbert space (Gleason's theorem).  So in a sense it's implicit in QM regardless of interpretation.

QBism, which is a version of CI+decoherence is at least as rational as MWI.  I think the proper measure of an interpretation is whether they suggest improvements and experiments.  MWI may be better in that respect.

Brent

On 11/29/2023 4:00 AM, John Clark wrote:
On Tue, Nov 28, 2023 at 7:30 PM Brent Meeker <meekerbr...@gmail.com> wrote:

    /> MWI fans assert that it is superior because it doesn't assume
    the Born rule, only the Schroedinger equation.  I wouldn't claim
    that the (modern) version of Copenhagen is superior to MWI, I'm
    just unconvinced of the converse./


A pretty convincing argument can be made that if the Many Worlds idea is true then the Born Rule must have the ability to predict the most probable outcome of any quantum experiment and as an added bonus, unlike its competitors, it can do so without adding any random elements. However I admit nobody has ever been able to prove that Many Worlds is the only possible explanation of why the Born Rule works, and we already know from experiments that it does. Put it this way, if Many Worlds is true then the Born Rule works, and if the Born Rule works (and we know that it does) then Many Worlds MIGHT be true. But that's still a hell of a lot better than any other quantum interpretation anybody has managed to come up with, at least so far. I'm not certain Many Worlds is correct, but I am certain its competitors are wrong, or so bad they're not even wrong.

And as far as assumptions are concerned,every scientist, not just physicists, has no choice but to assume that probability must be a real number between zero and one, and all the probabilities mustadd up to exactly one for any given situation, because otherwise the very concept of probability would make no sense. And we know that taking the square root of the absolute value is the only way to get a number like that out of a complex function like Schrodinger's wave equation. If Many Worlds is true, and If each version of Brent Meeker makes bets In accordance with the laws of probability so derived, then more Brent Meekers will make money by following the advice given by the Born Rule than if they followed any other betting strategy. Yes some Brent Meekers will still go broke even if they follow the Born Rule, but most will not.

John K Clark    See what's on my new list at Extropolis <https://groups.google.com/g/extropolis>
7ff




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