On 11/29/2023 4:17 PM, Bruce Kellett wrote:
On Wed, Nov 29, 2023 at 10:49 PM Stathis Papaioannou <stath...@gmail.com> wrote:

    On Wed, 29 Nov 2023 at 12:34, Bruce Kellett
    <bhkellet...@gmail.com> wrote:

        On Wed, Nov 29, 2023 at 12:02 PM Stathis Papaioannou
        <stath...@gmail.com> wrote:


            The Born rule allows you to calculate the probability of
            what outcome you will see in a Universe where all outcomes
            occur.


        You are still conflating incompatible theories. The Born rule
        is a rule for calculating probabilities from the wave function
        -- it says nothing about worlds or existence. MWI is a theory
        about the existence of many worlds. These theories are
        incompatible, and should not be conflated.


    “The Born rule is a rule for calculating probabilities from the
    wave function -- it says nothing about worlds or existence”  -and-
    “MWI is a theory about the existence of many worlds” are not
    incompatible statements.


Perhaps that is the wrong way to look at it. The linearity of the Schrodinger equation implies that the individuals on all branches are the same: there is nothing to distinguish one of them as "you" and the others as mere shadows or zombies. In other words, they are all "you". So you are the person on the branch with all spins up and your probability of seeing this result is one, since this branch certainly exists, and, by linearity, "you" are the individual on that branch. This is inconsistent with the claim that the Born rule gives the probability that "you" will see some particular result. As we have seen, the probability that "you" will see all ups in one, whereas the Born probability for this result is 1/2^N. These probability estimates are incompatible.

How is this different than throwing a die and seeing it came up 6. Is that incompatible with that result having probability 1/6?  Why don't we have a multiple-worlds theory of classical probabilities?

Brent

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