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Quantum Field Theory, Bell’s Inequalities and the Problem of Hidden Variables

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Bell’s Theorem, Quantum Theory and Conceptions of the Universe

Part of the book series: Fundamental Theories of Physics ((FTPH,volume 37))

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Abstract

The maximal and typical violation of Bell’s inequalities in relativistic quantum field theory (RQFT), which has been proved recently by Summers and Werner, is interpreted in this paper as the irrelevance of Bell’s inequalities for the problem of local hidden variables in connection with RQFT. This leads to the question how to formulate the problem of local hidden variables in RQFT. By giving a precise definition of hidden theory it is argued that the aim of hidden variable invstigations is to determine those classes of quantum theories whose elements represent a statistical content that can not be reduced in a given way. In particular a proposition is stated which distinguishes quantum field theories whose statistical content can not be reduced without violating some relativistic locality principle.

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References

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© 1989 Springer Science+Business Media Dordrecht

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Rédei, M. (1989). Quantum Field Theory, Bell’s Inequalities and the Problem of Hidden Variables. In: Kafatos, M. (eds) Bell’s Theorem, Quantum Theory and Conceptions of the Universe. Fundamental Theories of Physics, vol 37. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0849-4_11

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  • DOI: https://doi.org/10.1007/978-94-017-0849-4_11

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4058-9

  • Online ISBN: 978-94-017-0849-4

  • eBook Packages: Springer Book Archive

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