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Hardy relations and common cause

Higashi, Katsuaki (2020) Hardy relations and common cause. [Preprint]

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Abstract

Some researchers argued that in the non-existence proof of hidden variables, the existence of a common common-cause of multiple correlations is tacitly assumed and that the assumption is unreasonably strong. According to their idea, it is sufficient if the separate common-cause of each correlation exists. However, for such an idea, various no-go results are already known. Recently, Higashi showed that there exists no local separate common-cause model for the correlations that appear in Hardy's famous argument. In this paper, I give another simple and suggestive proof of the same content. First, I will show that there exists no local common common-cause model of the correlations that appear in Hardy's argument. Second, taking the proof as a hint, following almost the same steps, I will show the non-existence of a local separate common-cause model for those correlations. Finally, based on the argument in the previous sections, I will discuss what we can conclude about the issue of reducibility from a separate common-cause model to a common common-cause model. It will be concluded that it is irreducible at least by a usual method.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Higashi, Katsuakikahigashi@hotmail.co.jp
Keywords: Hardy's argument, Common cause, Separate common cause, Reducibility
Subjects: Specific Sciences > Physics > Quantum Mechanics
Depositing User: Dr. Katsuaki Higashi
Date Deposited: 25 Apr 2020 19:51
Last Modified: 25 Apr 2020 19:51
Item ID: 17108
Subjects: Specific Sciences > Physics > Quantum Mechanics
Date: 25 April 2020
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/17108

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