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

@article{citeulike:5452729, abstract = {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.}, archivePrefix = {arXiv}, author = {Hess, Karl and Philipp, Walter}, citeulike-article-id = {5452729}, citeulike-linkout-0 = {http://arxiv.org/abs/quant-ph/0503044}, citeulike-linkout-1 = {http://arxiv.org/pdf/quant-ph/0503044}, day = {3}, eprint = {quant-ph/0503044}, keywords = {a, as, bass, bell, case, of, special, theorem}, month = {Mar}, posted-at = {2009-08-17 16:46:16}, priority = {2}, title = {The Bell Theorem as a Special Case of a Theorem of Bass}, url = {http://arxiv.org/abs/quant-ph/0503044}, year = {2005} }

TY - JOUR ID - citeulike:5452729 L3 - citeulike-article-id:5452729 N2 - 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. TI - The Bell Theorem as a Special Case of a Theorem of Bass KW - a KW - as KW - bass KW - bell KW - case KW - of KW - special KW - theorem AU - Hess, Karl AU - Philipp, Walter PY - 2005/Mar/03/ UR - http://arxiv.org/abs/quant-ph/0503044 ER -