No Access

THE HESS-PHILIPP MODEL IS NON-LOCAL

D. M. APPLEBY

Department of Physics, Queen Mary, University of London, Mile End Rd, London E1 4NS, United Kingdom

https://doi.org/10.1142/S021974990300005XCited by:0 (Source: Crossref)

Abstract

Hess and Philipp have constructed what, they claim, is a local hidden variables model reproducing the empirical predictions of quantum mechanics. In this paper explicit expressions for the conditional probabilities for the outcomes of the measurements at the two detectors are calculated. These expressions provide a conclusive demonstration of the falsity of the authors' claim. The authors give two different accounts of their model. The published version omits a crucial detail. As a result it disagrees with quantum mechanics. It also violates signal locality. The unpublished version agrees with quantum mechanics. However, it violates the condition of parameter independence, as Myrvold has previously shown.

Keywords:

References

K. Hess and W. Philipp, Proc. Natl. Acad. Sci. USA 98, 14228 (2001), DOI: 10.1073/pnas.251525098. Crossref, Web of Science, Google Scholar
K. Hess and W. Philipp , quant-ph/0103028 . Google Scholar
K. Hess and W. Philipp, Proc. Natl. Acad. Sci. USA 98, 14224 (2001), DOI: 10.1073/pnas.251524998. Crossref, Web of Science, Google Scholar
K. Hess and W. Philipp, Europhys. Lett. 57, 775 (2002), DOI: 10.1209/epl/i2002-00578-y. Crossref, Google Scholar
J. S. Bell , Speakable and Unspeakable in Quantum Mechanics ( Cambridge University Press , Cambridge ) . Google Scholar
W. C. Myrvold , Proc. 18th Biennial Meeting of the Philosophy of Science Association ( 2002 ) , quant-ph/0205032 . Google Scholar
R. D. Gill, G. Weihs and A. Zeilinger, Europhys. Lett. 61, 282 (2003), DOI: 10.1209/epl/i2003-00230-6. Crossref, Google Scholar
R. D. Gillet al., Proc. Natl. Acad. Sci. (USA) 99, 14632 (2002), quant-ph/0208187 DOI: 10.1073/pnas.182536499. Crossref, Web of Science, Google Scholar
N. D. Mermin, quant-ph/0206118 and quant-ph/0207140 . Google Scholar
K. Hess and W. Philipp , quant-ph/0209057 . Google Scholar
J. Jarrett, Nous 18, 569 (1984). Crossref, Web of Science, Google Scholar
A. Shimony , Quantum Concepts in Space and Time , eds. R. Penrose and C. Isham ( Oxford University Press , Oxford , 1986 ) . Google Scholar
A. Shimony , Sixty-Two Years of Uncertainty , ed. A. Miller ( Plenum Publishing Corp. , New York , 1990 ) . Google Scholar
A. Shimony , Search for a Naturalistic World View, Volume 2: Natural Science and Metaphysics 2 ( Cambridge University Press , Cambridge , 1993 ) . Crossref, Google Scholar