Outcomes in branching space-time and GHZ-Bell theorems

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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DOI 10.1093/bjps/50.3.349
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Leszek Wroński & Tomasz Placek (2009). On Minkowskian Branching Structures☆. Studies in History and Philosophy of Science Part B 40 (3):251-258.
Jeremy Butterfield (2007). Stochastic Einstein Locality Revisited. British Journal for the Philosophy of Science 58 (4):805 - 867.
Tomasz Placek (2011). Possibilities Without Possible Worlds/Histories. Journal of Philosophical Logic 40 (6):737-765.
J. Cachro & Tomasz Placek (2002). On Cartwright's Models for EPR. Studies in History and Philosophy of Science Part B 33 (3):413-433.

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