Bell's - type inequalities revisted: new constraints from objective reality

The empirical evidence tends to confirm the quantum - mechanically (QM) predicted violation of Bell's - type inequalities. The latter are widely accepted to be correct representation of the objective reality (OR) underlying EPR's gedankenexperiment. Contrariwise, we argue here that the sta...

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Main Author: Hector A. Múnera
Format: Article
Language:English
Published: Universidad Nacional de Colombia 2002-07-01
Series:Momento
Subjects:
Online Access:https://revistas.unal.edu.co/index.php/momento/article/view/44239
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author Hector A. Múnera
author_facet Hector A. Múnera
author_sort Hector A. Múnera
collection DOAJ
description The empirical evidence tends to confirm the quantum - mechanically (QM) predicted violation of Bell's - type inequalities. The latter are widely accepted to be correct representation of the objective reality (OR) underlying EPR's gedankenexperiment. Contrariwise, we argue here that the starting premises leading to Bell's and CHSH's inequalities are not appropriate formulations of OR in the EPR context. Indeed, the essence of EPR argument is the correlation between pair of particles travelling with some well defined orientations. To measure such correlation, one requires detectors with high resolution, and some appropriately defined relative orientations. On the contrary, experimental tests of Bell's inequalities typically involve counting the number of particles with some value of spin (or polarisation) using low-resolution detectors and completely arbitrary orientations. Depending upon the relative orientation of good-resolution detectors, we obtain two families of CHSH-type inequalities. One of these families is the most often used version of CHSH inequality, that was derived by Clauser and Horne with the supplementary no - enhancement assumption: here, it is obtained without special provisions. The other family is completely new and refers to coincidence counts from multiple events. Experimental test to distinguish between the QM and OR descriptions of nature should take into account these new constraints.
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spelling doaj.art-f1ece24d465d42dc8dbe6dec8d46b82e2022-12-21T18:19:01ZengUniversidad Nacional de ColombiaMomento0121-44702500-80132002-07-0102532736574Bell's - type inequalities revisted: new constraints from objective realityHector A. Múnera0Departamento de Física, Universidad Nacional de Colombia, Bogotá.The empirical evidence tends to confirm the quantum - mechanically (QM) predicted violation of Bell's - type inequalities. The latter are widely accepted to be correct representation of the objective reality (OR) underlying EPR's gedankenexperiment. Contrariwise, we argue here that the starting premises leading to Bell's and CHSH's inequalities are not appropriate formulations of OR in the EPR context. Indeed, the essence of EPR argument is the correlation between pair of particles travelling with some well defined orientations. To measure such correlation, one requires detectors with high resolution, and some appropriately defined relative orientations. On the contrary, experimental tests of Bell's inequalities typically involve counting the number of particles with some value of spin (or polarisation) using low-resolution detectors and completely arbitrary orientations. Depending upon the relative orientation of good-resolution detectors, we obtain two families of CHSH-type inequalities. One of these families is the most often used version of CHSH inequality, that was derived by Clauser and Horne with the supplementary no - enhancement assumption: here, it is obtained without special provisions. The other family is completely new and refers to coincidence counts from multiple events. Experimental test to distinguish between the QM and OR descriptions of nature should take into account these new constraints.https://revistas.unal.edu.co/index.php/momento/article/view/44239Bell's inequalitiesCHSH inequalitiesEPR(non) localityobjective realityno-enhancement assumptionKolmogorovian probability
spellingShingle Hector A. Múnera
Bell's - type inequalities revisted: new constraints from objective reality
Momento
Bell's inequalities
CHSH inequalities
EPR
(non) locality
objective reality
no-enhancement assumption
Kolmogorovian probability
title Bell's - type inequalities revisted: new constraints from objective reality
title_full Bell's - type inequalities revisted: new constraints from objective reality
title_fullStr Bell's - type inequalities revisted: new constraints from objective reality
title_full_unstemmed Bell's - type inequalities revisted: new constraints from objective reality
title_short Bell's - type inequalities revisted: new constraints from objective reality
title_sort bell s type inequalities revisted new constraints from objective reality
topic Bell's inequalities
CHSH inequalities
EPR
(non) locality
objective reality
no-enhancement assumption
Kolmogorovian probability
url https://revistas.unal.edu.co/index.php/momento/article/view/44239
work_keys_str_mv AT hectoramunera bellstypeinequalitiesrevistednewconstraintsfromobjectivereality