[deleted]
Cristi,
You've been more than fair in critiquing the work that generally goes against your beliefs, which is admirable. I will respond to your points below.
1. If by "calculation of the angles" you mean "derivation of the formula", I agree. As for the hundred and 34 page reference, I wrote this after understanding the physics of energy exchange, but before I built a model and realized that it is Bell's unrealistic constraints that are the real problem.
2. Yes. I had assumed these details were to be part of a peer review paper and my FQXi results would be accepted as shown in the figures, while most of the essay should explain Bell's reasoning.
3. No. I didn't say there is no formula. The expectation value is the correlation formula, i.e., the sum of all terms weighted by their probability distribution. I have not seen how to derive a "local" formula in closed form for the probability distribution but it is easily determined from simple "frequentist" approach to probabilities. If one of the AB values shows up 10% of the time it's probability is 0.1, and this is done for all of the values calculated for a fixed (a,b). That is how p(AB) is obtained. I have been very surprised that this seems not to be understood.
4. I do not agree that to show Bell's Stern-Gerlach model is oversimplified and unjustified, I must also be able to explain the physics of photons. Very desirable, yes; necessary, no. Simply exhibiting a local model that produces quantum correlations should be enough to gain real interest.
Two points:
1.) The θ-dependence is not as obviously available in the test results, which are photon counts, not deflections. I have not analyzed photons as thoroughly as I have analyzed Stern-Gerlach.
2.) Zeilinger says photons (like particles) align with the last filter they go through. This is a key similarity to SG, but I don't yet see the 'hidden θ' for photons.
5. Teleportation is a misnomer. I do not believe in "quantum time travel", and I distinguish between "entanglement" in the Bell sense of non-locality versus the simple fact that interacting particles become correlated in the classical sense due to conservation of energy/momentum. I'm not convinced that if I present a theory and back it with experimental proof, that I'm required to explain all the rest of the (mostly photon-based) universe. Again, nice, but not necessary. My immediate goal is to present the Stern-Gerlach local model. Hopefully that would inspire some photon experts to re-analyze their situation.
6. The key to atoms is the fact that |ps> = |p> x |s> where x represents tensor product. I am treating |s> = spin states here, and most of the atomic properties derive from the wave aspects of linear momentum |p>. I can explain this, but I think it best to focus on spin, as this is the basis of Bell's theorem and is responsible for much of the 'weirdness' of QM.
7. I'm not sure why it is important to insist that Bell's theorem, if it is based on a faulty physical model of Stern-Gerlach, is "correct", but I do accept your advice that it is problematical for me to say otherwise. I've already begun to address the issue that Pauli's approach to QM spin is based on constant fields and that is why the precession-based quantized projection on the z-axis works. For inhomogeneous fields, the qubit approach is oversimplified. Dirac is different, and deals with helicity (see reference [4]). Quantum mechanics is a wonderful statistical theory, which I do not deny or in any way oppose. I love QM. But it is incomplete.
8. The experiment you propose is essentially the same as that I propose (see Mar 17 @ 20:32 above). This experiment should be eminently doable. You appear to be saying you would find such an experiment (performed competently) convincing, which is good. I actually met with someone today who may be interested in doing this experiment.
9. I agree with you.
10. No. I think you have been more than fair. We are all biased, but that does not prevent a fair and rational discussion of issues. I've been discussing my model with local physicists (Bell-believers, all) for six months, and was waiting to see what kind of feedback I got from FQXi. Yours is definitely some of the most valuable feedback I have received, for which I thank you again. Yesterday I had also written my first email to the authors of a recent Phys Rev Letters paper dealing with hidden variables. I would appreciate any suggestions you might have for whom I should contact.
Cristi, as I have noted, two generations of physicists have been so ingrained with Bell's theorem that, despite that his model does not produce the correct correlations, it is considered a fact that his model is valid. If my essay and other work will only get people to question his physical model (in favor of an energy exchange model) then that is progress.
My best to you,
Edwin Eugene Klingman