Separate Common Causes and EPR Correlations: An “Almost No-Go” Result

Wroński, Leszek; Placek, Tomasz; Godziszewski, Michał Tomasz

doi:10.1007/978-3-319-55486-0_5

Cited by 16 publications

(3 citation statements)

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“…3. This is the issue raised and discussed by Hofer-Szabó [10,11,12] and recently discussed by Wroński et al [13].…”

Section: Introductionmentioning

confidence: 89%

“…the method Wroński et al used for Bell-Aspect correlations, 6 see Sect. 5.6 in [13]). To show irreducibility rigorously, not only we confirm that a particular method does not work, but also we need to show that, no matter what logical partition is constructed, there exist no common screening-off factors satisfying C2 and C3.…”

Section: Concluding Remarkmentioning

confidence: 95%

“…They consider what is needed to explain the quantum mechanical correlation is a separate common-cause for each correlation. Although this idea is very interesting, various no-go theorems for separate common-cause approaches are already known [7,8,9,10,11,12,13,14].…”

Section: Introductionmentioning

confidence: 99%

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Hardy Relations and Common Cause

Higashi

2020

Found Phys

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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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“…3. This is the issue raised and discussed by Hofer-Szabó [10,11,12] and recently discussed by Wroński et al [13].…”

Section: Introductionmentioning

confidence: 89%

Section: Concluding Remarkmentioning

confidence: 95%

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Hardy Relations and Common Cause

Higashi

2020

Found Phys

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Müller

Placek

2021

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This book develops a rigorous theory of indeterminism as a local and modal concept. Its crucial insight is that our world contains events or processes with alternative, really possible outcomes. The theory aims at clarifying what this assumption involves, and it does it in two ways. First, it provides a mathematically rigorous framework for local and modal indeterminism. Second, we support that theory by spelling out the philosophically relevant consequences of this formulation and by showing its fruitful applications in metaphysics. To this end, we offer a formal analysis of modal correlations and of causation, which is applicable in indeterministic and non-local contexts as well. We also propose a rigorous theory of objective single-case probabilities, intended to represent degrees of possibility. In a third step, we link our theory to current physics, investigating how local and modal indeterminism relates to issues in the foundations of physics, in particular, quantum non-locality and spatio-temporal relativity. The book also ventures into the philosophy of time, showing how the theory’s resources can be used to explicate the dynamic concept of the past, present, and future based on local indeterminism.

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2021

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Separate Common Causes and EPR Correlations: An “Almost No-Go” Result

Cited by 16 publications

References 10 publications

Hardy Relations and Common Cause

Hardy Relations and Common Cause

Branching Space-Times

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