On Fri, Oct 4, 2024 at 5:16 AM John Clark <[email protected]> wrote:
> On Wed, Oct 2, 2024 at 7:03 PM Brent Meeker <[email protected]> wrote: > > *>> All Many Worlds says is that everything always obeys Schrodinger's >>> Wave Equation, it never collapses,* >> >> >> * > That's right. It never says where the Born rule comes from. * >> > > *1) Many worlds is the only quantum interpretation that even tries to > derive the Born Rule, the others just assume it's true. * > > *2) Gleason's theorem mathematically proves that in dimensions of 3 or > greater and if all probabilities are required to be non-negative, and add > up to exactly 1, then the only consistent way to assign probabilities > is the squared amplitudes of the wavefunction, provided you also insist > that any combination of two valid quantum states is also a valid quantum > state. * > > *So the real question Many Worlds needs to answer is not why is > probability the squared amplitudes of the wavefunction but rather why is > probability necessary at all given the fact that Schrodinger's wave > equation is 100% deterministic? The answer is because of self locating > uncertainty.* > Self-locating uncertainty is not the answer. It requires branches to be split in ratios according to the Born rule. And no non-circular theory has ever been devised that can give this result. Besides, self-locating uncertainty, like any probability arising from ignorance, assumes some prior notion of randomness, or probability. It is also inherently dualist, since there is an unspoken assumption that only one of the copies on the different branches is really you. Bruce *In the instant after the split but before an observer has registered the > outcome of a measurement there is only one rational way to apportion > credence as to which branch of the wave function he is on and that is the > Born Rule.* > > *Sean Carroll and Charles Sebens go into much more detail here: * > > *Many Worlds, the Born Rule, and Self-Locating Uncertainty* > <https://arxiv.org/pdf/1405.7907> > > John K Clark > -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To view this discussion on the web visit https://groups.google.com/d/msgid/everything-list/CAFxXSLRmi_S3sePZ%3DyQRmhKNrd1X0PxiuMjKFVForvf4OcGOXw%40mail.gmail.com.
