On 2/22/2025 4:49 PM, Quentin Anciaux wrote:


Le dim. 23 févr. 2025, 01:39, Brent Meeker <meekerbr...@gmail.com> a écrit :



    On 2/22/2025 3:09 PM, Quentin Anciaux wrote:
    Bruce,

    Your argument assumes that because the Born rule is not yet fully
    derived from unitary evolution, MWI must be incorrect.
    No, but it's only correct if you add the Born rule to it.  But
    that sort of makes MWI, "Just the Schroedinger equation" wrong. 
    If it can't explain the Born rule then postulating that every
    result happens just introduces an extra complication.  With the
    Born rule we can just say one result obtains, as predicted by the
    Born probability.

    Brent


Brent,

Saying MWI is "only correct if you add the Born rule" is just another way of saying that quantum mechanics, in any interpretation, must account for why we observe Born-rule probabilities. That is not unique to MWI—every interpretation either assumes or derives it.
That's what I said.  But you seem to think that the addition of the Born rule is unnecessary.  You think it can be derived.


If you take the Born rule as a fundamental postulate, then yes, you can just say "one result obtains" without further justification. But that’s an assumption, not an explanation.
And what would the explanation be.  What is the derivation of the Born rule without assuming it or something equivalent?

The challenge is understanding why quantum probabilities follow this specific rule rather than any other distribution.
I don't know why /understanding/ it is a challenge.  It's empirically verified.  People understood that the sky is blue long before the atomic theory of matter.

MWI does not introduce an extra complication—it raises the question of whether the Born rule follows from unitary evolution rather than being an additional postulate.
And the answer is "No."

If the Born rule cannot be derived from unitary evolution, that would be a major issue for MWI.
Exactly so.  I makes MWI otiose.

But that is not the same as saying it has been proven impossible. Simply assuming one result obtains because the Born rule says so does not address the deeper question of why it holds in the first place.
It's impossible because as Bruce has pointed out MWI has no mechanism for producing uneven probabilities between two possibilities.

That said, I personally think the real answer to these questions will not be found in MWI or any specific quantum interpretation, but in a computational theory of consciousness.
Then you're welcome to publish such an answer.  But remember that the probabilities of quantum experiments are recorded in instruments that are far to simple to be conscious.

Brent

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