Journal Article

Outcomes in branching space-time and GHZ-Bell theorems

T Kowalski and T Placek

in The British Journal for the Philosophy of Science

Published on behalf of British Society for the Philosophy of Science

Volume 50, issue 3, pages 349-375
Published in print September 1999 | ISSN: 0007-0882
Published online September 1999 | e-ISSN: 1464-3537 | DOI: http://dx.doi.org/10.1093/bjps/50.3.349
Outcomes in branching space-time and GHZ-Bell theorems

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The paper intends to provide an algebraic framework in which subluminal causation can be analysed. The framework merges Belnap's 'outcomes in branching time' with his 'branching space-time' (BST). it is shown that an important structure in BST, called 'family of outcomes of an event', is a boolean algebra. We define next non-stochastic common cause and analyse GHZ-Bell theorems. We prove that there is no common cause that accounts for results of GHZ-Bell experiment but construct common causes for two other quantum mechanical setups. Finally, we investigate why some setups allow for common causes whereas other setups do not.

Journal Article.  0 words. 

Subjects: Philosophy of Science ; Science and Mathematics

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