Correlation functions, Bell's inequalities and the fundamental conservation laws

Published 14 January 2005 2005 EDP Sciences
, , Citation C. S. Unnikrishnan 2005 EPL 69 489 DOI 10.1209/epl/i2004-10378-y

0295-5075/69/4/489

Abstract

I derive the correlation function for a general theory of two-valued spin variables that satisfy the fundamental conservation law of angular momentum. The unique theory-independent correlation function is identical to the quantum-mechanical correlation function. I prove that any theory of correlations of such discrete variables satisfying the fundamental conservation law of angular momentum violates Bell's inequalities. Taken together with Bell's theorem, this result has far-reaching implications. No theory satisfying Einstein locality, reality in the EPR-Bell sense, and the validity of the conservation law can be constructed. Therefore, all local hidden-variable theories are incompatible with fundamental symmetries and conservation laws.

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10.1209/epl/i2004-10378-y