Author(s)

Louis Sica^1,2*

¹Institute for Quantum Studies, Chapman University, Orange, CA & Burtonsville, MD, USA.
²Inspire Institute Inc., Alexandria, VA, USA.

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.

Bell’s Theorem, Bell Inequality, Hidden Variables, Correlations, Commutation, Noncommutation

Sica, L. (2016) The Bell Inequality Is Satisfied by Quantum Correlations Computed Consistently with Quantum Non-Commutation. Journal of Modern Physics, 7, 404-412. doi: 10.4236/jmp.2016.74041.