On Saturday, September 7, 2019 at 4:09:27 AM UTC-5, John Clark wrote: > > > On Sat, Sep 7, 2019 'Brent Meeker' via Everything List < > [email protected] <javascript:>> wrote: > > *>> Sean Carroll is on a nationwide speaking tour now evangelizing Many >> Worlds. What is the predictive power of Many Worlds?* >> >> > None, unless someone can figure out how to derive Born's rule from >> it...which I think is impossible. >> > > Many Worlds predicts that the best any observer will be able to do is make > probabilistic predictions, and Gleason's theorem says that in 3 spatial > dimensions only the square of Schrodinger's wave (the Born rule), and not > the cube or anything else, can yield a probability without inconsistencies. > > John K Clark >
*Many Worlds, the Born Rule, and Self-Locating Uncertainty* Sean M. Carroll, Charles T. Sebens (Submitted on 30 May 2014 (v1), last revised 25 Mar 2015 (this version, v3)) We provide a derivation of the Born Rule in the context of the Everett (Many-Worlds) approach to quantum mechanics. Our argument is based on the idea of self-locating uncertainty: in the period between the wave function branching via decoherence and an observer registering the outcome of the measurement, that observer can know the state of the universe precisely without knowing which branch they are on. We show that there is a uniquely rational way to apportion credence in such cases, which leads directly to the Born Rule. Our analysis generalizes straightforwardly to cases of combined classical and quantum self-locating uncertainty, as in the cosmological multiverse. @philipthrift -- 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/14ee888b-d6d5-4d8d-b650-1fd3a621e5e2%40googlegroups.com.
