The best possible local realist imitation (red) for the quantum correlation of two spins in the singlet state (blue), insisting on perfect anti-correlation at zero degrees, perfect correlation at 180 degrees.
Bell considered an experiment in which there are "a pair of spin one-half particles formed somehow in the singlet spin state and moving freely in opposite directions."[2]
Bell says something other than local hidden variables must cause this. I never got his theory because I could not understand why he would take integrals as infinitely divisible in a finite bandwidth world. He claims no idea of local variable can explain quantum mechanics, he is right. That idea expands to the idea of taking integrals to the limit of zero and expecting free space to obey that law. The quantum correlations are the simple result of minimizing redundancy in a finite band width space.
If the speed of light not infinite, then free space is band limited, and free space will be curved, end of story. I can remove some restrictions. If the speed of light is not infinite then one can treat free space as if it were finite bandwidth.
Gill points out that in the same conference volume in which Jaynes argues against Bell, Jaynes confesses to being extremely impressed by a short proof by Steve Gull presented at the same conference, that the singlet correlations could not be reproduced by a computer simulation of a local hidden variables theory.
John Burg did it, simply, and got his Phd from Stanford. He converts the signal to white noise using a minimum phase filter, then after computing the filter, inverts it and the spectral peaks show up. Using just local information. Then he makes a 'curved ruler' to match the peaks so he is not plagued with divide by zero. Otherwise known as minimizing redundancy by making the number line fit the data. Others wise known as making the number line match the blue line above so as not to have that sharp peak in the red line. Who says that nature, or anyone else, should use the same, infinite number line?
The infinite number line exists in mathematical grammar because a whole class of problems that obey infinite rules can be simplified. It really does not exist in nature. Space is curved and particles with spin know it.
Anyway, here is the thing.
How could physicist look at the blue line and notice the thing is minimum phase? I mean, minimum phase is all the information the particles need. It tells them a hellava lot, local, general, whatever, that is a big piece of information.
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