On Wed, Nov 29, 2023 at 2:59 PM Brent Meeker <meekerbr...@gmail.com> wrote:

> 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 must add 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.
> Yes, I knew all that.  But does it follow from the Schroedinger equation
> alone.  Reading the Carroll/Sebens paper is suggestive, but it depends on
> transforming to a basis that makes the number of components match the Born
> rule.  But it seems to me that one could transform to basis where the
> number of components did not match the Born rule.  Their example is chosen
> so that in the transformed basis each component has amplitude 1 ,  but
> that's just scaling.  They even start with eqn (33) which is not
> normalized.  So it shows how to convert a weighted superposition into a
> branch count.  But it appears to me that it could produce any number of
> branches.  The example is chosen to neatly produce all branches of
> amplitude 1, but that cannot be significant since eqn(35) is not
> normalized.  So the number of branches is not actually determined and could
> be anything.

I found this interesting, on comparing whether all bases are really on
equal footing or not:



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