The empirical validity of the locality (LOC) principle of relativity is used to argue in favour of a local hidden variable theory (HVT) for individual quantum processes. It is shown that such a HVT may reproduce the statistical predictions of quantum mechanics (QM), provided the reproducibility of initial hidden variable states is limited. This means that in a HVT limits should be set to the validity of the notion of counterfactual definiteness (CFD). This is supported by the empirical evidence that past, present, and future are basically distinct. Our argumentation is contrasted with a recent one by Stapp resulting in the opposite conclusion, i.e. nonlocality or the existence of faster-than-light influences. We argue that Stapp’s argumentation still depends in an implicit, but crucial, way on both the notions of hidden variables and of CFD. In addition, some implications of our results for the debate between Bohr and Einstein, Podolsky and Rosen are discussed.
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References
J. S. Bell (1964) Physics (N.Y.) 1 195
S. Kochen E. P. Specker (1967) J. Math. Mech 17 59 Occurrence Handle0156.23302 Occurrence Handle219280
W. De Baere (1984) Lett. Nuovo Cimento 39 234 Occurrence Handle748269
W. De Baere (1984) Lett. Nuovo Cimento 40 488
I. Pitowsky (1982) Phys. Rev. Lett 48 1299 Occurrence Handle1982PhRvL..48.1299P Occurrence Handle653268
I. Pitowsky (1983) Phys. Rev. D 27 2316 Occurrence Handle1983PhRvD..27.2316P Occurrence Handle704118
K. Hess W. Philipp (2004) Proc. Natl. Acad. Sci. USA 101 1799 Occurrence Handle1064.81006 Occurrence Handle2004PNAS..101.1799H Occurrence Handle2033757
A. Cabello, quant-ph/0012089.
H. P. Stapp (1971) Phys. Rev. D 3 1303 Occurrence Handle1971PhRvD...3.1303S
H. P. Stapp (2004) Am. J. Phys 72 30 Occurrence Handle2004AmJPh..72...30S Occurrence Handle2028689
H. P. Stapp (1997) Am. J. Phys 65 300 Occurrence Handle1997AmJPh..65..300S Occurrence Handle1666414
N. D. Mermin (1998) Am. J. Phys 66 920 Occurrence Handle1998AmJPh..66..920M Occurrence Handle1650000
W. Unruh (1999) Phys. Rev. A 59 126 Occurrence Handle1999PhRvA..59..126U Occurrence Handle1670542
A. Shimony H. Stein (2001) Am. J. Phys 69 848 Occurrence Handle2001AmJPh..69..848S Occurrence Handle1849891
W. M. Muynck Particlede W. Baere ParticleDe (1990) Found. Phys. Lett 3 325
W. M. Muynck Particlede W. Baere ParticleDe H. Martens (1994) Found. Phys 24 1589 Occurrence Handle1994FoPh...24.1589D Occurrence Handle1309571
H. P. Stapp (1994) Found. Phys 24 665 Occurrence Handle1309572
H. P. Stapp (1998) Am. J. Phys 66 924 Occurrence Handle1998AmJPh..66..924S Occurrence Handle1650004
H. P. Stapp : quant-ph/9712043.
H. P. Stapp, in Philosophical Consequences of Quantum Theory, J. Cushing and E. McMullin, eds. (University of Notre Dame Press, 1989), p. 154.
R. M. F. Houtappel H. Dam ParticleVan E. P. Wigner (1965) Rev. Mod. Phys 37 595 Occurrence Handle1965RvMP...37..595H
A. Einstein, in Albert Einstein: Philosopher–Scientist, P. A. Schilpp, ed. (Cambridge,1987), p. 85.
G. C. Ghirardi T. Weber (1979) Lett. Nuovo Cimento 26 599 Occurrence Handle559413
G. C. Ghirardi A. Rimini T. Weber (1980) Lett. Nuovo Cimento 27 293 Occurrence Handle10.1007/BF02817189 Occurrence Handle574180
M. Stenner D. Gauthier M. Neifeld (2003) Nature 425 695 Occurrence Handle2003Natur.425..695S
A. M. Steinberg : Phys. World Sept. 2000, p. 21.
A. M. Steinberg : Phys. World Dec. 2003, p. 19.
Bjorken J.D. S.D. Drell (1965) Relativistic Quantum Fields McGraw–Hill New York 35
S. Weinberg : The Quantum Theory of Fields, Vol. I (Cambridge, 1995), p. 198.
R. Haag : Local Quantum Physics: Fields, Particles, Algebras, 2nd edn. (Springer, 1996).
D. Tommasini (2002) JHEP 7 39 Occurrence Handle2002JHEP...07..039T Occurrence Handle1940709
W. Baere ParticleDe (1996) Ann. Isr. Phys. Soc 12 95
W. Baere ParticleDe A. Mann M. Revzen (1999) Found. Phys 29 67 Occurrence Handle1690434
L. J. Landau (1987) Phys. Lett. A 120 54 Occurrence Handle1987PhLA..120...54L Occurrence Handle879718
B. S. Cirel’son (1980) Lett. Math. Phys 4 93 Occurrence Handle1980LMaPh...4...93C Occurrence Handle577178
N. G. Kampen ParticleVan (1988) Physica A 153 97 Occurrence Handle1988PhyA..153...97V Occurrence Handle969508
H. P. Stapp (1972) Am. J. Phys 40 1098 Occurrence Handle1972AmJPh..40.1098S
H. P. Stapp (1982) Found. Phys 12 363 Occurrence Handle1982FoPh...12..363S Occurrence Handle659604
M. Renninger (1953) Z. Phys 136 251 Occurrence Handle0052.22102 Occurrence Handle1953ZPhy..136..251R
M. Jammer : The Philosophy of Quantum Mechanics (John Wiley, New York, 1974),p253.
P. A. M. Dirac, in Directions in Physics, H. Hora and J. R. Shepanski, eds. (Sidney, 1976).
G. ’t Hooft (1997) Found. Phys. Lett 10 105 Occurrence Handle1456024
A. Peres (1996) Ann. Isr. Soc 12 305
H. P. Stapp (1988) Found. Phys 18 427 Occurrence Handle1988FoPh...18..427S Occurrence Handle950507
L. Hardy (1993) Phys. Rev. Lett 71 1665 Occurrence Handle0972.81522 Occurrence Handle1993PhRvL..71.1665H Occurrence Handle1234454
L. Hardy (1992) Phys. Lett. A 167 11 Occurrence Handle1992PhLA..167...11H Occurrence Handle1177567
W. Baere ParticleDe (1997) Found. Phys. Lett 10 119 Occurrence Handle1997pfdl.conf.....B Occurrence Handle1456026
M. Kupczynski (1987) Phys. Lett. A 121 205 Occurrence Handle1987PhLA..121..205K
Y. Aharonov P. G. Bergmann J.L. Lebowitz (1964) Phys. Rev. B 134 1410 Occurrence Handle1964PhRv..134.1410A Occurrence Handle163614
J. S. Bell, in Sixty-Two Years of Uncertainty, A. I. Miller, ed. (Plenum, New York, 1990), p. 17.
P. Carruthers M. Nieto (1968) Rev. Mod. Phys 40 411 Occurrence Handle1968RvMP...40..411C
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Baere, W.D. On the Consequences of Retaining the General Validity of Locality in Physical Theory. Found Phys 35, 33–56 (2005). https://doi.org/10.1007/s10701-004-1912-y
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DOI: https://doi.org/10.1007/s10701-004-1912-y