The Bell inequality is satisfied by quantum correlations computed consistently with quantum non-commutation

Abstract

In constructing his theorem, Bell assumed that correlation functions among non-commuting variables are the same as those among commuting variables. However, in quantum mechanics, multiple data values exist simultaneously for commuting operations while for non-commuting operations data are conditional on prior outcomes, or may be predicted as alternative outcomes of the non-commuting operations. Given these qualitative differences, there is no reason why correlation functions among non-commuting variables should be the same as those among commuting variables, as assumed by Bell. When data for commuting and noncommuting operations are predicted from quantum mechanics, their correlations are different, and they now satisfy the Bell inequality.

9 pages, 2 figures

References in corpus (4)

• All quantum observables in a hidden-variables model must commute simultaneously
• Correlations for a new Bell's inequality experiment
• Bell's inequality violation due to misidentification of spatially non stationary random processes
• Logical difficulty from combining counterfactuals in the GHZ-Bell theorems

Cited by in corpus (1)

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