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The British Journal for the Philosophy of Science 1999 50(3):349-375; doi:10.1093/bjps/50.3.349
© 1999 by British Society for the Philosophy of Science
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Outcomes in branching space-time and GHZ-Bell theorems

T Kowalski and T Placek

Department of Philosophy, Jagiellonian University, Krakow, Poland. E-mail: {uzplacek/uzkowals}@kinga.cyf-kr.edu.pl

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.


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