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Title: On the concept of Bell’s local causality in local classical and quantum theory

Abstract

The aim of this paper is to implement Bell’s notion of local causality into a framework, called local physical theory. This framework, based on the axioms of algebraic field theory, is broad enough to integrate both probabilistic and spatiotemporal concepts and also classical and quantum theories. Bell’s original idea of local causality will arise as the classical case of our definition. Classifying local physical theories by whether they obey local primitive causality, a property rendering the dynamics of the theory causal, we then investigate what is needed for a local physical theory to be locally causal. Finally, comparing local causality with the common cause principles and relating both to the Bell inequalities we find a nice parallelism: Bell inequalities cannot be derived neither from local causality nor from a common cause unless the local physical theory is classical or the common cause is commuting, respectively.

Authors:
 [1];  [2]
  1. Research Center for the Humanities, Budapest (Hungary)
  2. Wigner Research Centre for Physics, Budapest (Hungary)
Publication Date:
OSTI Identifier:
22403121
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Physics
Additional Journal Information:
Journal Volume: 56; Journal Issue: 3; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0022-2488
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGEBRAIC FIELD THEORY; BELL THEOREM; CAUSALITY; PROBABILISTIC ESTIMATION; QUANTUM MECHANICS

Citation Formats

Hofer-Szabó, Gábor, and Vecsernyés, Péter. On the concept of Bell’s local causality in local classical and quantum theory. United States: N. p., 2015. Web. doi:10.1063/1.4915292.
Hofer-Szabó, Gábor, & Vecsernyés, Péter. On the concept of Bell’s local causality in local classical and quantum theory. United States. https://doi.org/10.1063/1.4915292
Hofer-Szabó, Gábor, and Vecsernyés, Péter. 2015. "On the concept of Bell’s local causality in local classical and quantum theory". United States. https://doi.org/10.1063/1.4915292.
@article{osti_22403121,
title = {On the concept of Bell’s local causality in local classical and quantum theory},
author = {Hofer-Szabó, Gábor and Vecsernyés, Péter},
abstractNote = {The aim of this paper is to implement Bell’s notion of local causality into a framework, called local physical theory. This framework, based on the axioms of algebraic field theory, is broad enough to integrate both probabilistic and spatiotemporal concepts and also classical and quantum theories. Bell’s original idea of local causality will arise as the classical case of our definition. Classifying local physical theories by whether they obey local primitive causality, a property rendering the dynamics of the theory causal, we then investigate what is needed for a local physical theory to be locally causal. Finally, comparing local causality with the common cause principles and relating both to the Bell inequalities we find a nice parallelism: Bell inequalities cannot be derived neither from local causality nor from a common cause unless the local physical theory is classical or the common cause is commuting, respectively.},
doi = {10.1063/1.4915292},
url = {https://www.osti.gov/biblio/22403121}, journal = {Journal of Mathematical Physics},
issn = {0022-2488},
number = 3,
volume = 56,
place = {United States},
year = {Sun Mar 15 00:00:00 EDT 2015},
month = {Sun Mar 15 00:00:00 EDT 2015}
}