John Bell Workshop 2014

What Does Bell's Theorem Really Tell Us?

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    Robert Griffiths

    The claim is often made that the violation of a Bell inequality by standard quantum mechanics (SQM), in agreement with experiments, means that there is an intrinsic nonlocality in the quantum world. I argue against this by examining some derivations of the Clauser-Horne-Shimony-Holt (CHSH) inequality using various assumptions. These indicate that the fundamental difference between SQM and CHSH is that the former employs a quantum Hilbert space with noncommuting operators instead of the classical hidden variables used in the latter. Hence experiments which confirm violations of Bell inequalities do not tell us that the quantum world is nonlocal, but rather that it is nonclassical.

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