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Quantum Foundations
Inequality-free proof of Bell's theorem
arXiv
Authors: Andrea Aiello
Year
2024
Paper ID
37754
Status
Preprint
Abstract Read
~2 min
Abstract Words
93
Citations
N/A
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.
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- This paper contributes to the Quantum Foundations research area in the Quantum Articles archive.
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- Bell's theorem supposedly demonstrates an irreconcilable conflict between quantum mechanics and local, realistic hidden variable theories.
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