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$\begingroup$ The model you describe doesn't violate Bell's inequality. If the spin direction is chosen uniformly at random, then the model gives a triangle-shaped correlation function that you can see in many discussions of Bell's theorem (e.g. the red curve here), which saturates the inequality. Jaynes knew that, and wasn't making the argument that you think he was making. $\endgroup$benrg– benrg2022-11-13 02:43:01 +00:00Commented Nov 13, 2022 at 2:43
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$\begingroup$ @galen your edit has significantly changed the tone of the post. It is certainly improved but I suspect the OP was deliberately provocative so your edit goes against the intent of the OP. $\endgroup$ZeroTheHero– ZeroTheHero2022-11-13 04:15:36 +00:00Commented Nov 13, 2022 at 4:15
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2$\begingroup$ I do appreciate the edit, as my tone was uncalled for and I offer my apologies. I will study this more. but it does seem almost impossible to discuss without actual data, if any is available in a simple xls file. Also, without specifying what the measurment devices actually do, it is likewise difficult to discuss. My assumed method is likely far off., as I have written a simple C++ program that passes the 3 machine Randi challenge with this assumption quite easily. $\endgroup$Chris Mayer– Chris Mayer2022-11-14 00:11:22 +00:00Commented Nov 14, 2022 at 0:11
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