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Quantum Theory and Local Causality pp 17–23Cite as

Locality and Causality Principles

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Part of the book series: SpringerBriefs in Philosophy ((BRIEFSPHILOSOPH))

Abstract

This Chapter provides a brief overview of the interconnections between the various causality and locality concepts in algebraic quantum field theory such as causal dynamics, primitive causality, local primitive causality, no-signaling, selective and nonselective measurements, local determinism, stochastic Einstein locality.

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Notes

  1. 1.

    The domain of dependence \(D(\mathcal{S})\) of a (piece of) a Cauchy surface \(\mathcal{S}\) consists of those points in \(\mathcal{M}\) for which any causal curve containing them intersects \(\mathcal{S}\).

  2. 2.

    If \(V''\notin \mathcal{K}\) this requirement would mean that by extending \(\mathcal{K}\) by the globally hyperbolic bounded subspacetime regions \(V'', V\in \mathcal{K}\) and defining \(\mathcal{A}(V''):=\mathcal{A}(V)\) one obtains an extended net of local algebras satisfying isotony, microcausality, and covariance.

  3. 3.

    Butterfield (1995, Eqs. 3.6 and 3.7) and Earman and Valente (2014, Sect. 7.2) called (3.6) and (3.9) parameter independence and outcome independence, respectively (Shimony 1986). For the difference between parameter independence, where \(\phi \) in (3.6) is conditioned on the common cause, and no-signaling, where \(\phi \) is unconditioned, see Maudlin (2002) and Norsen (2011).

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Authors and Affiliations

  1. Institute of Philosophy, Research Centre for the Humanities, Budapest, Hungary

    Gábor Hofer-Szabó

  2. Theoretical Physics, Wigner Research Centre for Physics, Budapest, Hungary

    Péter Vecsernyés

Authors
  1. Gábor Hofer-Szabó
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  2. Péter Vecsernyés
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Correspondence to Gábor Hofer-Szabó .

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Hofer-Szabó, G., Vecsernyés, P. (2018). Locality and Causality Principles. In: Quantum Theory and Local Causality. SpringerBriefs in Philosophy. Springer, Cham. https://doi.org/10.1007/978-3-319-73933-5_3

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