Outcomes in branching space-time and GHZ-Bell theorems

British Journal for the Philosophy of Science 50 (3):349-375 (1999)
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Abstract

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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Citations of this work

Stochastic Einstein Locality Revisited.Jeremy Butterfield - 2007 - British Journal for the Philosophy of Science 58 (4):805-867.
On Minkowskian branching structures.Leszek Wroński & Tomasz Placek - 2009 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 40 (3):251-258.
Stochastic outcomes in branching space-time: Analysis of bell's theorem.Tomasz Placek - 2000 - British Journal for the Philosophy of Science 51 (3):445-475.
Possibilities Without Possible Worlds/Histories.Tomasz Placek - 2011 - Journal of Philosophical Logic 40 (6):737-765.

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References found in this work

Nature's capacities and their measurement.Nancy Cartwright - 1989 - New York: Oxford University Press.
The direction of time.Hans Reichenbach - 1956 - Mineola, N.Y.: Dover Publications. Edited by Maria Reichenbach.
Branching space-time.Nuel Belnap - 1992 - Synthese 92 (3):385 - 434.
Bell’s Theorem: What It Takes.Jeremy Butterfield - 1992 - British Journal for the Philosophy of Science 43 (1):41-83.

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