Abstract
A recent claim by Bassi and Ghirardi that the consistent (decoherent) histories approach cannot provide a realistic interpretation of quantum theory is shown to be based upon a misunderstanding of the single-framework rule: they have replaced the correct rule with a principle which directly contradicts it. It is their assumptions, not those of the consistent histories approach, which lead to a logical contradiction.
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REFERENCES
R. B. Griffiths, J. Stat. Phys. 36:219 (1984).
R. Omnès, J. Stat. Phys. 53:893 (1988); Rev. Mod. Phys. 64:339 (1992).
M. Gell-Mann and J. B. Hartle in Complexity, Entropy, and the Physics of Information, W. Zurek, ed. (Addison Wesley, Reading, 1990), p. 425; Phys. Rev. D 47:3345 (1993).
R. Omnès, The Interpretation of Quantum Mechanics (Princeton University Press, Princeton, 1994).
R. B. Griffiths, Phys. Rev. A 54:2759 (1996).
R. B. Griffiths, Phys. Rev. A 57:1604 (1998).
R. Omnès, Understanding Quantum Mechanics (Princeton University Press, 1999).
E. P. Wigner, Am. J. Phys. 31:6 (1963); reprinted in J. A. Wheeler and W. H. Zurek, eds., Quantum Theory and Measurement (Princeton University Press, 1983), p. 324.
R. B. Griffiths and R. Omnès, Phys. Today 52:26 (Aug. 1999).
P. Mittelstaedt, The Interpretation of Quantum Mechanics and the Measurement Process (Cambridge University Press, 1998). See in particular Sections 4.3, 5.1, and 5.2.
R. B. Griffiths, Am. J. Phys. 55:11 (1987); Phys. Rev. A 60:5 (1999).
P. R. Holland, The Quantum Theory of Motion (Cambridge University Press, 1993); D. Bohm and B. J. Hiley, The Undivided Universe (Routledge, 1993); K. Berndl, M. Daumer, D. Dü rr, S. Goldstein, and N. Zanghí, Nuovo Cimento B 110:737 (1995).
G. C. Ghirardi, A. Rimini, and T. Weber, Phys. Rev. D 34:470 (1986); P. Pearle, Phys. Rev. A 39:2277 (1989); G. C. Ghirardi, P. Pearle, and A. Rimini, Phys. Rev. A 42:78 (1990); G. C. Ghirardi, R. Grassi, and F. Benatti, Found. Phys. 25:5 (1995).
S. Goldstein, Phys. Today 51, March, 1998, p. 42 and April, 1998, p. 38; also see the Letters section of Phys. Today 52, February, 1999.
A. Kent, Phys. Rev. Lett. 81:1982 (1998).
A. Bassi and G. C. Ghirardi, Phys. Lett. A 257:247 (1999).
A. Bassi and G. C. Ghirardi, Decoherent histories and realism, J. Stat. Phys. 98:457 (2000).
A. Bassi and G. C. Ghirardi, Phys. Lett. A 265:153 (2000). (This is a reply to ref. 21.)
J. S. Bell, Rev. Mod. Phys. 38:447 (1966).
S. Kochen and E. P. Specker, J. Math. Mech. 17:59 (1967).
R. B. Griffiths, Phys. Lett. A 256:12 (2000).
W. Feller, An Introduction to Probability Theory and Its Applications, third ed. (John Wiley & Sons, New York, 1968), Vol. I. See Section 1 of Chap. I.
J. von Neumann, Mathematical Foundations of Quantum Mechanics (Princeton University Press, Princeton, New Jersey, 1955), Chap. III, Section 5.
G. Birkhoff and J. von Neumann, Annals of Math. 37:823 (1936).
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Griffiths, R.B. Consistent Quantum Realism: A Reply to Bassi and Ghirardi. Journal of Statistical Physics 99, 1409–1425 (2000). https://doi.org/10.1023/A:1018601225280
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DOI: https://doi.org/10.1023/A:1018601225280