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Are Prohibitions of Superluminal Causation by Stochastic Einstein Locality and by Absence of Lewisian Probabilistic Counterfactual Causality Equivalent?

Published online by Cambridge University Press:  01 April 2022

Miklós Rédei*
Affiliation:
Faculty of Natural Sciences, Loránd Eötvös University
*
Send reprint requests to the author, Faculty of Natural Sciences, Loránd Eötvös University, H-1088 Budapest, Rákóczi út 5., Hungary.

Abstract

Butterfield's (1992a,b,c) claim of the equivalence of absence of Lewisian probabilistic counterfactual causality (LC) to Hellman's stochastic Einstein locality (SEL) is questioned. Butterfield's assumption on which the proof of his claim is based would suffice to prove that SEL implies absence of LC also for appropriately given versions of these notions in algebraic quantum field theory, but the assumption is not an admissible one. The conclusion must be that the relation of SEL and absence of LC is open, and that they may be independent.

Type
Research Article
Copyright
Copyright © Philosophy of Science Association 1993

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Footnotes

This work was supported in part by the Hungarian National Foundation for Scientific Research, grant no. 1900, and was completed while I was staying on a TEMPUS Individual Mobility Grant in the Faculty of Philosophy of the University of Groningen. I am indebted to Professor J. D. North and Professor D. Atkinson for their hospitality while staying in Groningen. I also wish to thank an anonymous referee for helpful comments. Special thanks go to Dr. J. Butterfield for providing me with the manuscripts of his forthcoming works and for valuable discussions and correspondence.

References

Butterfield, J. (1992a), “Bell's Theorem: What it Takes”, British Journal for the Philosophy of Science 58: 4183.10.1093/bjps/43.1.41CrossRefGoogle Scholar
Butterfield, J. (1992b), “David Lewis Meets John Bell”, Philosophy of Science 59: 2648.10.1086/289652CrossRefGoogle Scholar
Butterfield, J. (1992c), “Outcome Dependence and Stochastic Einstein Nonlocality”, in D. Parwitz and D. Westerdahl (eds.), Papers from LMPS91 Congress in Uppsala. In press.Google Scholar
Fleming, G. and Butterfield, J. (1991), “Is there Superluminal Causation in Quantum Theory?” Paper presented at the conference Bell's Theorem and the Foundations of Modern Physics. Cesena, Italy, October 1991.Google Scholar
Haag, R. and Schroer, B. (1962), “Postulates of Quantum Field Theory”, Journal of Mathematical Physics 3: 248256.10.1063/1.1703797CrossRefGoogle Scholar
Hellman, G. (1982a), “Einstein and Bell: Strengthening the Case for Microphysical Randomness”, Synthese 53: 445460.10.1007/BF00486161CrossRefGoogle Scholar
Hellman, G. (1982b), “Stochastic Einstein-locality and the Bell Theorems”, Synthese 53: 461504.10.1007/BF00486162CrossRefGoogle Scholar
Horuzhy, S. S. (1990), Introduction to Algebraic Quantum Field Theory. Dordrecht: Kluwer.Google Scholar
Lewis, D. (1986), Collected Papers, vol. 2. Oxford: Oxford University Press.Google Scholar
Rédei, M. (1991), “Bell's Inequalities, Relativistic Quantum Field Theory and the Problem of Hidden Variables”, Philosophy of Science 58: 628638.10.1086/289644
Summers, S. J. (1990), “On the Independence of Local Algebras in Quantum Field Theory”, Reviews of Mathematical Physics 2: 201247.10.1142/S0129055X90000090CrossRefGoogle Scholar
Summers, S. J. and Werner, R. (1987a), “Bell's Inequalities and Quantum Field Theory. I. General Setting”, Journal of Mathematical Physics 28: 24402447.10.1063/1.527733CrossRefGoogle Scholar
Summers, S. J. and Werner, R. (1987b), “Bell's Inequalities and Quantum Field Theory. II. Bell's Inequalities are Maximally Violated in the Vacuum”, Journal of Mathematical Physics 28: 24482456.10.1063/1.527734CrossRefGoogle Scholar
Summers, S. J. and Werner, R. (1987c), “Maximal Violation of Bell's Inequalities is Generic in Quantum Field Theory”, Communications in Mathematical Physics 110: 247259.10.1007/BF01207366CrossRefGoogle Scholar
Summers, S. J. and Werner, R. (1988), “Maximal Violation of Bell's Inequalities for Algebras of Observables in Tangent Spacetime Regions”, Annales de l'Institut Henri Poincaré—Physique theorique 49: 215243.Google Scholar