On 10/17/2025 7:54 PM, Alan Grayson wrote:


    On 10/17/2025 5:42 AM, Alan Grayson wrote

            To use Born's rule, you need a wf.
            Not if you already know the probability of |1> and |0>
            which values I just assumed.  Do you need me to take the
            square roots and write down the corresponding wave
            function, 0.949|0> + 0.316|1>


        *So, IMO, we need a computer simulation which systematically
        tests a huge number of probabilities, and their wf's, to
        determine any difference between collapse and no-collapse
        interpretations. I suspect the latter will fail Born's rule
        in every case, falsifying the no-collapse interpretation.
        Also, one need to do this experiment in this-world only,
        since the worlds of the MWI are indistinguishable. AG *


    *So you're not interested in possibly falsifying the MWI? Your
    attitude is puzzling. AG *

            What is the wf one gets from your h-t scenarios? That
            is, how do you calulate Born's rule in your scenario.
            Why is  this so hard to understand?
            For who?
            if we have two ways to do the calculation, with
            collapse and no-collapse in this-world, and we get
            different answers, then the MWI is falsified (assuming
            that Born's rule give the correct answer). We can share
            the prize. AG
            No because those aren't the only two possibilities.  In
            fact advocates of MWI also use the Born rule as a
            "weight" for the various worlds, but brushing under the
            rug the fact that this weight is just the probability of
            that world happening.  They don't like that because they
            want all the worlds to happen, so they think of it as
            the probability that you experience that world...even
            though you experience all of them.


        *How can we experience all the worlds? We only experience
        one world, this world. AG *
        Why don't you ask somebody who believes in MWI, instead of me?


    *Because you structured your scenario as if multiple worlds can
    make your measurements. But AFAICT, that's not what the true
    believers claim. Anyway, doing all measurements in one world,
    this world, seems sufficient to possibly falsify the
    interpretation. IMO, it needs to be falsified, so this false path
    to reality can finally be put in the dust bin of history. AG*
    But it can't be falsified if you add the Born rule to it, which
    advocates of MWI do.  They just apply it to what they call
    "self-locating uncertainty", which I think is double-talk for "the
    only world that happened".

    If you think it can be falsified, write out the experiment that
    will do so.

    Brent


*Yes, now that I understand your coin tossing model, I believe I know how it can done, and when I write it up, I'll ask AI to write the program and do the calculation. I think if we work only in this-world, we might be able to show that the collapse model, which we know gives the right result, will differ from the no-collapse model. Do you agree that if no-collapse is falsified in this world, this is sufficient for the proof that it's nonsense? AG*
Depends on what you mean by "falsified".  QM is a probabilistic theory, so simply showing it is wrong about one particular experiment can be marked up to statistics.  But if you mean statistically falsified at a high confidence level, sure.

Brent

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