Authors
Gábor Hofer-Szabó
Research Center For The Humanities, Budapest
Abstract
Bell inequalities, understood as constraints between classical conditional probabilities, can be derived from a set of assumptions representing a common causal explanation of classical correlations. A similar derivation, however, is not known for Bell inequalities in algebraic quantum field theories establishing constraints for the expectation of specific linear combinations of projections in a quantum state. In the paper we address the question as to whether a ‘common causal justification’ of these non-classical Bell inequalities is possible. We will show that although the classical notion of common causal explanation can readily be generalized for the non-classical case, the Bell inequalities used in quantum theories cannot be derived from these non-classical common causes. Just the opposite is true: for a set of correlations there can be given a non-classical common causal explanation even if they violate the Bell inequalities. This shows that the range of common causal explanations in the non-classical case is wider than that restricted by the Bell inequalities.
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DOI 10.1016/j.shpsb.2013.08.001
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References found in this work BETA

Algebraic Quantum Field Theory.Hans Halvorson & Michael Mueger - 2006 - In J. Butterfield & J. Earman (eds.), Handbook of the philosophy of physics. Kluwer Academic Publishers.
Stochastic Einstein Locality Revisited.Jeremy Butterfield - 2007 - British Journal for the Philosophy of Science 58 (4):805-867.
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Citations of this work BETA

The Primitive Ontology of Quantum Physics: Guidelines for an Assessment of the Proposals.Michael Esfeld - 2014 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 47:99-106.
Non-Local Common Cause Explanations for EPR.Matthias Egg & Michael Esfeld - 2014 - European Journal for Philosophy of Science 4 (2):181-196.
On Modifications of Reichenbach's Principle of Common Cause in Light of Bell's Theorem.Eric G. Cavalcanti & Raymond Lal - 2014 - Journal of Physics A: Mathematical and Theoretical 47 (42):424018.
Metaphysics of Science as Naturalized Metaphysics.Michael Esfeld - 2018 - In Anouk Barberousse, Denis Bonnay & Mikael Cozic (eds.), The philosophy of science. A companion. Oxford, U.K.: Oxford University Press. pp. 142-170.
On the Relation Between the Probabilistic Characterization of the Common Cause and Bell׳s Notion of Local Causality.Gábor Hofer-Szabó - 2015 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 49:32-41.

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