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Bell inequality and common causal explanation in algebraic quantum field theory

Hofer-Szabó, Gábor and Vecsernyés, Péter (2012) Bell inequality and common causal explanation in algebraic quantum field theory. In: [2012] Seventh Quadrennial Fellows Conference of the Center for Philosophy of Science (12-14 June 2012; Mugla, Turkey).

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    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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    Item Type: Conference or Workshop Item (UNSPECIFIED)
    Keywords: Bell inequality, common cause, noncommutativity, algebraic quantum field theory
    Subjects: General Issues > Causation
    Specific Sciences > Physics > Quantum Field Theory
    Conferences and Volumes: [2012] Seventh Quadrennial Fellows Conference of the Center for Philosophy of Science (12-14 June 2012; Mugla, Turkey)
    Depositing User: Gabor Hofer-Szabo
    Date Deposited: 25 Apr 2012 14:55
    Last Modified: 29 Jun 2012 19:43
    Item ID: 9101
    URI: http://philsci-archive.pitt.edu/id/eprint/9101

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