@vzn One thing which was always clear to me is that normalization to 1 would be an artificial restriction for optical models. I first noticed that the restriction to (quasi-)monochromatic light prevents interesting dynamical behavior, because only two different eigenvalues (+1/-1) are available. Next I noticed that the Fermion/Boson symmetries won't be reproduced by this sort of optical model. Then I noticed that I the collapse variant of the Born rule won't be there.
After that I tried to learn more about the "Probability from Expectation" formulation of axiomatic probability theory, because that seemed both interesting from a mathematical point of view, and important for reconciling toy models without stochastic Born rule with the real QM. I also noticed the thing with the absolute eigenvalues vs. differences between eigenvalues, but got the impression that this could be solved by blowing up the dimension of the corresponding space a bit.
was looking up/ googling undergraduate acoustics experiments yesterday, found some stuff
got some )( nano-reaction over in the physics chat room too :|
& found some ref to (isolated) spherical wavefronts in an old dover PDE book in a few brief pages...
re Lubos Motl, am not aware of his position on LHVs or alternative theories can you cite something there? blog ok... have read his blog a bit... he has a big/ long semifriendly rivalry going with aaronson...
the Khrennikov ref looks like a !!!big deal to me, whaddya think?
admit some surprise to finding 't hooft, neumaier etc posting in Physics! (had never poked around the site much until recently.) but one can see some )( disappointment reading between the lines...
have urge to learn more about khrennikov as of this nanosecond...
seems strange though how little ref to experiments there are on the site, need to look into that... wonder about that right now... tags etc... do any undergrads show up to ask about college laboratory experiments etc? any site policy on that? ...?
& so when do you want to hear the story/ gedanken of the pinball mechanism? :p
did you give it any thought?
btw there is one teeny )( ref to term acoustics in the khrennikov paper refs! which was what helped me google it!
Currently, I have too much to digest from Qiaochu Yuan's blog, so I don't intent to overload my digesting facilities any more than to just finish the things I already started. You know, with all your links, I found so many things here on this site, that I probably already forgot half of them again.
this 2011 paper "Born's rule from measurements of classical signals by threshold detectors which are properly calibrated" by Khrennikov investigates the theoretical possibility of Born-like measurement rule/ dynamics for classical systems but appears largely theoretical.
are there any reporte...
We can observe double-slit diffraction with photons, with light of such low intensity that only one photon is ever in flight at one time. On a sensitive CCD, each photon is observed at exactly one pixel. This all seems like standard quantum mechanics. There is a probability of detecting the photo...
