Abstract
We analyze the proof given by J. S. Bell of an inequality between mean values of measurement results which, according to him, would be characteristic of any local hidden-parameter theory. It is shown that Bell's proof is based upon a hypothesis already contained in von Neumann's famous theorem: It consists in the admission that hidden values of parameters must obey the same statistical laws as observed values. This hypothesis contradicts in advance well-known and certainly correct statistical relations in measurement results: One must therefore reject the type of theory considered by Bell, and his inequality has no general meaning.
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Lochak, G. Has Bell's inequality a general meaning for hidden-variable theories?. Found Phys 6, 173–184 (1976). https://doi.org/10.1007/BF00708958
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DOI: https://doi.org/10.1007/BF00708958