We can consider the hidden variable as the random rotation angle of a third polarizer, let us call Dervish, coupled with each of the first two Alice and Bob.
The underlying mechanisms interpretations of the first family of functions can be very creative. But this one is obvious when we analyze the code. The random rotations of the dervish may be the hidden variables. See the polarization function that uses the cos² of the difference between the shared variable and the rotation of the polarizer, miming the macroscopic Malus law.
Thus, the two polarizers would no longer be correlated with each other, but the couples Alice / Derviche and Bob / Derviche would be.
Thus, the hidden variable concept weaks in the digital experience. In addition, three conventional polarizers are needed to emulate two quantum dots. Where would this third polarizer be physically? Bohrians can exult up to a precise experience.
Simulation Hidden Variables
It is indeed a kind of variables but they must above all be as random as a polarization without being a polarization: it does not work well when we leave them with binary values. At least 16 values must be statistically distributed uniformly to approach optimal quality. I also observe an almost good calculation when the pseudo angle defined by the hidden variable varies only over a range of 90 °. It’s better at 135 ° and it’s almost perfect at 180 °. We can abandon the 360 ° in the next version.
Using floating numbers does not provide a benefit at this time, but this is largely due to the averaging to get out of the ratios per degree.
Temporal uniformity of a wave amplitude or satellite orbit is also well suited. The variables order does not affect a calculation without memory but it is better that the whole cycle is represented. Calculations with hidden variables distribution patterns do not provide any new results at this time.
The need to have a hidden variable is relative. Alice and Bob could agree to start with 0, then add 1 to each try. The assumed common variable can therefore come from a common algorithm learned before the tests. This can be checked with the program by producing a file of hidden values / consecutive common values modulo 90, 180 or 360 since we use degrees
Any sequence of circular variables more or less well distributed can do the trick.
A third polarizer?
Not yet found without new postulates but it may be a similar mechanism. The project’s team studies the behavior of the two polarizers A and B with a lot of Dervishes. The calculations are much longer and the search for the best values made more difficult by the enlargement of the ranges. The preliminary results show a clear improvement in the regularity of the curve but a reduction of the final efficiency to 65%. This is not discouraging at all, the most beautiful valleys are often surrounded by splendid mountains.
However, the explanation is surely not extraordinary. But each one of his work, to the physicists to dare …