On 02 Apr 2014, at 03:43, meekerdb 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
Interesting. It looks like, at first sight, that Gleason + the FPI (+
some abandon of the naïve view on "worlds") might solve the Born Rule.
I might dig on this when I have more time. I have to revise Quantum
logic and algebra to do this, but musing on Gleason theorem augments
my feeling that the Z1* logics might be closer to QM than I hope!
Note that your link contains a link to the original proof of Gleason.
Bruno
Brent
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