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arXiv:2211.01331 · Nature Physics

Bell’s theorem allows local theories of quantum mechanics

Jonte R. Hance, Sabine Hossenfelder

Published Oct 31, 2022• 28 citations
arXivHTMLPDF
DOI
10.1038/s41567-022-01831-5

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Bell's theorem supposedly demonstrates an irreconcilable conflict between quantum mechanics and local realistic hidden-variable theories. Most proofs of Bell's theorem, are based on inequalities. In this paper we present an alternative proof which does not involve inequalities, but only a direct comparison between correlation functions calculated using quantum mechanics on the one hand, and those calculated according to local realistic hidden-variable theories on the other. Our proof is based on a physically motivated use of Fourier series for periodic functions, and confirms that local realistic hidden-variable theories are incompatible with quantum mechanics.