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Comment on “A Loophole of All “Loophole-Free” Bell-Type Theorems”

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The Original Article was published on 15 May 2020

Abstract

In a recent article (Found Sci (2020) https://doi.org/10.1007/s10699-020-09666-0) Marek Czachor claims that the Bell inequality cannot be proved because variables of complementary measurements cannot be added or multiplied. Even though he has correctly identified the problems existing with the orthodox interpretation of the Bell inequality and dealt with them in an original way, the interpretation he addresses do not pertain to the original formulation given by John Stewart Bell.

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Notes

  1. Puzzled by many derivations that start by (1) or (12), presenting the Bell inequality as a trivial “Fact” (Gill 2014), Lambare (2017a) explains the correct interpretation being unaware of concepts such as measurement independence, the reproducibility hypothesis and counterfactual definiteness.

  2. In fact, we do not even know if such hidden variables exist, it is the result found in the experiment that falsifies their existence.

  3. We do not know if De Baere would agree with this interpretation, but we do credit him for the idea and the terminology.

  4. This manuscript contains two theorems proving the physical irrelevance of the counterfactual definiteness hypothesis.

  5. Sometimes this view takes the form of a presumed hidden assumption made by Bell, for a discussion see Lambare (2017b).

References

  • Bell, J. S. (1964). On the Einstein–Podolsky–Rosen paradox. Physics, 1, 195–200.

    Article  Google Scholar 

  • Bell, J. S. (1976). The Theory of Local Beables. Epistemological Letters, March 1976.

  • Bell, J. S. (1981). Bertlmann’s socks and the nature of reality. Journal of Physque, 42, 41–61.

    Google Scholar 

  • Clauser, J. F., Horne, M. A., Shimony, A., & Holt, R. A. (1969). Proposed experiment to test local hidden-variables theories. Physics Review Letters, 23, 880–884.

    Article  Google Scholar 

  • Czachor, M. (2020a). A Loophole of All ’Loophole-Free’ Bell-Type Theorems. Foundations of Science,. https://doi.org/10.1007/s10699-020-09666-0.

    Article  Google Scholar 

  • Czachor, Marek (2020b). Arithmetic loophole in Bell’s theorem: An overlooked threat for entangled-state quantum cryptography. arXiv:2004.04097 [physics.gen-ph]

  • De Baere, W. (1984). On the significance of Bell’s inequality for hidden-variables theories. Lettere Al Nuove Cimento, 39, 234–238.

    Article  Google Scholar 

  • Gill, R. D. (2014). Statistics, causality and Bell’s theorem. Statistical Science, 29, 512–528.

    Article  Google Scholar 

  • Lambare, J. P. (2017). On CHSH form of Bell’s inequalities. Foundations of Physics, 47, 321–326.

    Article  Google Scholar 

  • Lambare, J. P. (2017). On Nieuwenhuizen’s treatment of contextuality in Bell’s Theorem. Foundations of Physics, 47, 1591–1596.

    Article  Google Scholar 

  • Lambare, Justo Pastor (2019). Bell inequalities, Counterfactual Definiteness and Falsifiability. arXiv:1911.00343 [quant-ph]

  • Stapp, H. P. (1971). S-matrix interpretation of quantum theory. Physics Review D, 6B, 1303–1320.

    Article  Google Scholar 

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Lambare, J.P. Comment on “A Loophole of All “Loophole-Free” Bell-Type Theorems”. Found Sci 26, 917–924 (2021). https://doi.org/10.1007/s10699-020-09695-9

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  • DOI: https://doi.org/10.1007/s10699-020-09695-9

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