Joy Christian wrote:Since 2007 I have argued that the strong (or "quantum") correlations we observe in Nature are entirely topological effects, originating from the very topology of the physical space we live in [ cf. discussions in my book ; see also "Topology", by James R. Munkres (2000) ]. In other words, the so-called "quantum" correlations have nothing to do with the bizarre notions like "quantum entanglement", or "non-locality", or "non-reality", or "irreducible randomness", as some would have us believe.
Joy Christian
You might find the following of interest in regards to this simulation. I've just finished a Mathematica program that can simulate quantum experiments, hidden variable experiments, several hidden variable with loopholes, Michel's EPR simple, and Joy's simulation being discussed here. Some of the Mathematica program comes from Sascha Vongehr's Randi challenge. I've corrected several things in that program and added a lot.
The simulations all use the same two sets of angles: {0, 135} and {0,90}. The simulations involve random choices of the detector angles, and random values of the spin vectors. I use 10,000 trials. Here are some results:
quantum mechanical calculation:
Cross correlation at zero lag is 0
Bell violated
CHSH violated at 2.43 (can't be greater than 2)
Hidden variables:
Cross correlation is 0
Bell not violated
CHSH = 1.07, not violated
Hidden variables with 50% loophole:
Cross correlation is 0
Bell violated (after several runs)
CHSH = 2.016, violated
Hidden variables with 85% loophole:
Cross correlation is 87% correct
Bell violated
CHSH = 1.98, not violated
EPR simple:
Cross correlation is 83% correct
Bell violated
CHSH = 1.96
Joy's simulation, being discussed here:
Cross correlation is zero
Bell violated
CHSH = 2.395
Comments:
Joy's simulation and quantum mechanical simulation appear very close.
EPR simple looks very much like the 85% loophole simulation.
John Reed