I found a family of classical distributions for the classical entanglement, a question challenged by the EPR experiments lecturers, ie A. Aspect.

By adjusting 2 parameters, one can draw a Bell theoretical curve ( in cos² ), a specific curve of the experiments with difference at the extrema, a triangle curve and heralded curves ( more curved and observed in a lab ).

An example of distribution:

_{The arguments are an effective angle x and an other variable h. 3 classical states +, - and 0 which have respectively the probability distributions functions f, g and z depending on x and h. In Bell experiments, at each trial, h will be shared by the 2 emitted particles while each polarizer/detector system will have his own private variable x. k is an intermediate function for lisibility.}

\(k(x,h) = { { (1 - (1 - Cos^{2n}(x-h)-Sin^{2n}(x-h))^m) } } \\ f(x,h) = {k(x,h) \quad {{Cos^{2n}(x-h)} \over { (Cos^{2n}(x-h)+Sin^{2n}(x-h))}}} \\ g(x,h) = {k(x,h) \quad {{Sin^{2n}(x-h)} \over { (Cos^{2n}(x-h)+Sin^{2n}(x-h))} }}\\ z(x,h) = { 1 - f(x,h) - g(x,h) } = { (1 - Cos^{2n}(x-h)-Sin^{2n}(x-h))^m }\)

With only 15% of loss, the classical and quantum curves are almost identical. 15% is a lab dream, whatever you read quickly.

I wrote this article. It will never be published in a serious review since the subject is closed and papers are rejected. But, seriously, it is an important result asking the fundations of the Copenhagen interpretation with a kind of counter example defined by Bell and the experimenters. This calls professional deeper investigations because the potential consequences are not negligibles. Maybe, it removes any hope of seeing quantum applications in computing with the current models.

Perhaps, I turned crazy. Could you kindly check the distribution with an appropriate software for n=5 and m=6.25? Or ask someone familiar with EPR softwares to check it ? I am ok to bet my current small reputation in a review. I don't know if it is possible because the submission of the article was not examined by the serious journals ...