On 2/14/2025 4:55 AM, John Clark wrote:
On Fri, Feb 14, 2025 at 12:13 AM Brent Meeker <[email protected]> wrote:

        *>> Schrodinger's equation producesa complex-valued wave that
        evolves in time, the square of the absolute value of the
        amplitude of that wave determines probabilities.You just take
        the Born Rule as a given because experimenters tell you that
        it works. Many Worlds can tell you _why_ it works and why you
        need it.*

    /> So you say.  But all attempts to derive it, assuming MWI, have
    failed./


*I admit there is some controversy concerning the validity of the derivations of the Born Rule that Many Worlds advocates have come up with, but they are the only ones that have even tried. Copenhagen, Objective Collapse, the Bayesian Interpretation and of course Shut Up And Calculate haven't even tried to derive it from their respective interpretations, they just accept the Born Rule as a starting assumption. *
You said you read the papers by Brandes, Weinberg, and Pearle to which I posted links.  That's exactly what they were about.  Of course if you can /only/ be satisfied by an ignorance interpretation of probability, then any one-world interpretation is going to conflict with your theology.



*Deutsch and Wallace have proven that if the Many Worlds idea is correct then a rational agent in a branching universe would bet according to the probabilities theBorn Rule produces; the only assumptions they needed is that similar quantum states should have similar probabilities, and probability assignments should be stable over time. But some complain that they have not defined "rationality" with enough mathematical rigor. *

*And in 2014 Sean Carroll and Charles Sebens used Many Worlds to find another derivation of the Born Rule based on self‐locating uncertainty. However some complain that if you know the full wave function then you should not have any uncertainty at all; I believe that complaint is invalid resulting from confusion over the personal pronoun "you". Another complaint is that they are assuming something called the "Epistemic Separability Principle", the idea that an observer’s credences about local measurements shouldn’t be affected by distant changes in the environment; I can't comment further about that because I don't know what the hell it means.*

        *>> Many Worlds says everything always obeys Schrodinger's
        equation including the observer, therefore there will always
        be self-location uncertainty, it can't be avoided.*

Fallacious reasoning.  There won't be any self-location uncertainty if only one world happens...as a properly interpreted Schroedinger plus Born rule says.

    /< And how does that result in uncertainty, when you are located
    in every branch. /


*Brent Meeker is in every branch but Mr.You is in only one branch, and until Mr.You opens the box and looks at the cat Mr.You lacks sufficient information to know which branch Mr.You is in. If personal pronouns had never been invented the Many Worlds idea would have been universally accepted by the physics community 50 years ago. *

A semantic solution to a physics problem?

Brent

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