The Bell Theorem as a Special Case of a Theorem of Bass

Details The Bell Theorem as a Special Case of a Theorem of Bass The Bell Theorem as a Special Case of a Theorem of Bass

2005-03-03

arxiv.org/abs/quant-ph/0503044v1

Physics

Quantum Physics

15 pages, 2 figures

Scientific paper

10.1007/s10701-005-6520-y

The theorem of Bell states that certain results of quantum mechanics violate inequalities that are valid for objective local random variables. We show that the inequalities of Bell are special cases of theorems found ten years earlier by Bass and stated in full generality by Vorob'ev. This fact implies precise necessary and sufficient mathematical conditions for the validity of the Bell inequalities. We show that these precise conditions differ significantly from the definition of objective local variable spaces and as an application that the Bell inequalities may be violated even for objective local random variables.

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