The Violation of Bell-CHSH Inequalities Leads to Different Conclusions Depending on the Description Used
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Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Mexico City 04510, Mexico
2
Facultad de Filosofía y Letras, Universidad Nacional Autónoma de México, Mexico City 04510, Mexico
*
Author to whom correspondence should be addressed.
Academic Editors: Andrei Khrennikov and Karl Svozil
Entropy 2021, 23(7), 872; https://doi.org/10.3390/e23070872
Received: 19 June 2021
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Revised: 30 June 2021
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Accepted: 30 June 2021
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Published: 8 July 2021
(This article belongs to the Special Issue Quantum Probability and Randomness III)
Since the experimental observation of the violation of the Bell-CHSH inequalities, much has been said about the non-local and contextual character of the underlying system. However, the hypothesis from which Bell’s inequalities are derived differ according to the probability space used to write them. The violation of Bell’s inequalities can, alternatively, be explained by assuming that the hidden variables do not exist at all, that they exist but their values cannot be simultaneously assigned, that the values can be assigned but joint probabilities cannot be properly defined, or that averages taken in different contexts cannot be combined. All of the above are valid options, selected by different communities to provide support to their particular research program.
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Keywords:
probability; quantum theory; Bell-CHSH inequalities
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MDPI and ACS Style
Solis-Labastida, A.F.G.; Gastelum, M.; Hirsch, J.G. The Violation of Bell-CHSH Inequalities Leads to Different Conclusions Depending on the Description Used. Entropy 2021, 23, 872. https://doi.org/10.3390/e23070872
AMA Style
Solis-Labastida AFG, Gastelum M, Hirsch JG. The Violation of Bell-CHSH Inequalities Leads to Different Conclusions Depending on the Description Used. Entropy. 2021; 23(7):872. https://doi.org/10.3390/e23070872
Chicago/Turabian StyleSolis-Labastida, Aldo F. G., Melina Gastelum, and Jorge G. Hirsch. 2021. "The Violation of Bell-CHSH Inequalities Leads to Different Conclusions Depending on the Description Used" Entropy 23, no. 7: 872. https://doi.org/10.3390/e23070872
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