arXiv:2410.17912 · Physical Review A

Inequality-free proof of Bell's theorem

Andrea Aiello

Published Mar 4, 2025• 0 citations

Abstract

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.

DOI: 10.1103/physreva.111.032204

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