jreed wrote:FrediFizzx wrote:jreed wrote:Fred, you are computing the cosine in the lambda function using angles in degrees. You should use angles in radians since all the trig functions in Mathematica are set up for radians. I have corrected this in my version, and it doesn't seem to matter. You must have spent a lot of time coming up with that cosine output curve at the end. I don't understand what this calculation represents physically, but that cosine curve is really nice.
John, actually I am computing the cosine in the HV function using radians but feeding angles in degrees to it as if they are radians. That is on purpose as it helps to smooth out the very tail ends of the negative cosine curve. Not sure why yet. The calculation is a thought experiment on possibly how experimenters might be being tricked by Nature. I haven't seen a lot of simulations that use the conspiracy loophole concept.
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The conspiracy loophole, as I understand it, is that Bob knows what angle Alice has her detector set at. He can then adjust his angle to give the cosine output. What represents this concept in your simulation?
Bell’s theorem says that quantum mechanics is incompatible with locality+realism+freedom. Freedom, aka no-conspiracy, is the freedom to pick settings at will independently of the physics going on in source+transmission lines+detectors. As I understand it, in Fred’s model, the freely chosen settings are overwritten with settings created by the hidden variables in the system.
No conspiracy is also an assumption of reductionism. One can separate the universe into pieces, study them separately, then put the pieces together and understand the whole. The converse is some kind of holism. Everything depends on everything else, you cannot understand the whole by reducing it to separate components. David Bohm took that route. It fits many people’s spiritual yearnings but it is hard to see how it can be a basis for sound physics. A similar idea is that we are just living in a simulation, nothing is real at all, and our idea that we have agency is an illusion. The world is how it appears to be because whoever wrote the simulation program wanted us to experience that. Take the red pill!
Indeed it is possible that many earlier published experimental results are actually caused by mechanisms like that in Fred’s model. That’s why physicists adopted Bell’s ideas for how to perform a loophole-free experiment.
The results can always be explained away by claiming conspiracy, but the idea of a loophole free experiment is to make that explanation as far-fetched as possible. Do you really want to believe that Alice’s coin toss outcome which she uses to choose in which of two positions to set a toggle switch was physically predetermined to perfectly match hidden variables located in a photo-detector 50 miles away? And so as to exactly reproduce quantum correlations but not to exceed them? I’m sure Fred can easily tune his parameters to violate Tsirelson’s bound. Thereby experimentally disproving quantum mechanics!