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Hi Peter,
I did think some more about your essay, but am not sure I fully got the point. This is not the fault of the essay but as I said I find Bell's theorem discussions very subtle and for me it takes time to digest. I had the same reaction the first time we covered Bell's theorem in grad school (we were using Sakaurai's non-relativistic QM text which has a good description of Bell's theorem). It took some late night discussions with some friends to get to the point where I *thought* I understood what was going on in Bell's original arguments.
Anyway let me ask some questions to see what I did and did not get from the essay. First it seems you are saying that there is a way for classical mechanics to give the same violations of Bell's inequalities as predicted by QM. I got this from the statement "Classical dynamics appeared to reproduce QM quantum correlations, which was not possible with the singlet
spin assumption John Bell inherited." Also you have some kit where one can verify this for oneself (this is the point of the technical end notes right?). There is a disk in figure 4 which then can be used to give reproduce the same (or similar?) correlations as in QM. Actually looking at the table it appears that the correlations you get are close but distinguishable (in principle) from QM. From table 1 I take the cloumn that says "Green Bias ^2" as your prediction while QM Cos^2 (theta)" is the standard QM prediction. They are close to one another but not exactly identical. For example for 45^o you have a Green Bias ^2 value of 0.54 versus the QM value of 0.5 (one technical question at this point -- it appears Green Bias ^2 column is gotten by squaring the "Green Bias column". If this is correct then I get 0.55 (after rounding) for the "Green Bias ^2" column for 45^o. All the other values seem to be rounded correctly. Anyway in principle there is a way to distinguish your model from teh QM case (I think if I have understood things correctly up to this point). If this is the case then it certainly would be very useful to do a refined version of the Aspect et al. experiments to see which is correct -- your model or QM. If I misunderstood some point let me know.
However, even if everyone in this forum agreed (and they probably would) that it would be good to re-run the Aspect experiment to to check this in some sense there is the problem that this is the wrong forum. You need to try and convince an experimentalist to do this and most of the audience here are theorists. And convincing experimentalists to invest time in doing any experiment is hard since they usually have their own ideas of what is interesting. For example, when I was in grad school and did figure out to some degree (at least this is what I told myself) that I knew what Bell's theorem was about I talked to some of the older grad students who were already doing their research in one of the many good atomic/molecular groups for which UVA is known. I asked them why they didn't work on this type of experiment (i.e. an experiment similar to Aspects) since this seemed very coll and foundational. The answer was "Well we don't set the research agenda for the group. We're grad students! And even if we did set the agenda we probably wouldn't switch from our present projects to Bell's theorem stuff. these are complex and messy experiments. The stuff we are working on (Rydberg-like atoms with super high n-quantum numbers so that the orbitals were really classical) is also very cool and the results are much cleaner and this is what our NSF grant says we are working on." The lesson I took away form this is that what and theorist thinks of as a good project and what an experimentalist views as a good project are often different things.
But I do agree (assuming I understood the general outline of you proposal) one should do such an experiment to distinguish your model from the QM model (again from the table it appears the results are close but not exactly the same).
I have some more comments that are not related to the main point of the essay which I will add later.
Best,
Doug