Apparently my conception of Gleason's Theorem is incorrect. However, I was struck by something the author of the answer, Mitchell Porter, said that is exactly what I thought the Gleason Theorem was about: "In my opinion, the sensible interpretation of a nonuniform measure in a multiverse theory (insofar as one can ever be "sensible" about such matters) is that it means that the worlds are duplicated, in proportion to the deviation from uniformity. The true measure will be the natural, uniform one, and the Born frequencies have to come about from the duplication of worlds."
On Tue, Apr 1, 2014 at 9:43 PM, meekerdb <meeke...@verizon.net> wrote: > On 4/1/2014 2:25 PM, LizR wrote: > >> I just read the definition of Gleason's theorem on Wikipedia and now my >> brain is full. A "for-dummies" version would be appreciated... >> > > I think what Gleason proved is that the only consistent probability > measure on a Hilbert space is given by the normalized inner product. But > it's not clear that there is a probability measure on the MW. > > http://physics.stackexchange.com/questions/20802/why-is- > gleasons-theorem-not-enough-to-obtain-born-rule-in-many-worlds-interpret > > Brent > > -- > 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 everything-list+unsubscr...@googlegroups.com. > To post to this group, send email to everything-list@googlegroups.com. > Visit this group at http://groups.google.com/group/everything-list. > For more options, visit https://groups.google.com/d/optout. > -- 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 everything-list+unsubscr...@googlegroups.com. To post to this group, send email to everything-list@googlegroups.com. Visit this group at http://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/d/optout.