Abstract
A proof is given, at a greater level of generality than previous “no-go” theorems, of the impossibility of formulating a modal interpretation that exhibits “serious” Lorentz invariance at the fundamental level. Particular attention is given to modal interpretations of the type proposed by Bub.
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REFERENCES
M. Dickson and R. Clifton, “Lorentz-Invariance in Modal Interpretations,” in The Modal Interpretation of Quantum Mechanics, D. Dieks and P. Vermaas, eds. (Kluwer Academic, Dordrecht, 1998), pp. 9–47.
K. Berndl, D. Dürr, S. Goldstein, and N. Zanghì, “Nonlocality, Lorentz invariance, and Bohmian quantum theory,” Phys. Rev. A 53, 2062–2073 (1996).
F. Arntzenius, “Curiouser and Curiouser: A Personal Evaluation of Modal Interpretations,” in The Modal Interpretation of Quantum Mechanics, D. Dieks and P. Vermaas, eds. (Kluwer Academic, Dordrecht, 1998), pp. 337–377.
J. Bub, “Quantum mechanics without the projection postulate,” Found. Phys. 22, 737–754 (1992).
K. Kraus, States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer, Berlin, 1983).
R. Clifton and H. Halvorson, “Entanglement and open systems in algebraic quantum field theory,” Studies Hist. Phil. Mod. Phys. 32, 1–31 (2001).
A. Fine, “Correlations and physical locality,” in PSA 1980, Vol. 2, P. Asquith and R. Giere, eds. (Philosophy of Science Association, East Lansing, MI, 1981), pp. 535–62.
L. Hardy, “Nonlocality for two particles without inequalities for almost all entangled states,” Phys. Rev. Lett. 71, 1665–1668 (1992). T. Jordan, “Testing Einstein-Podolsky- Rosen assumptions without inequalities with two photons or particles with spin,” Phys. Rev. A 50, 62-66 (1994).
L. Hardy, “Quantum mechanics, local realistic theories, and Lorentz-invariant realistic theories,” Phys. Rev. Lett. 68, 2981–2984.
J. Bub, Interpreting the Quantum World (Cambridge University Press, Cambridge, 1998).
A. Einstein, “Zur Elektrodynamik bewegter Körper,” Ann. Phys. (Leipzig) 17, 891–921 (1905). English translation in H. Lorentz et al., The Principle of Relativity (Dover, New York, 1952), pp. 37–65.
J. Bell, Speakable and Unspeakable in Quantum Mechanics (Cambridge University Press, Cambridge, 1992).
D. Dieks, “Locality and Covariance in the Modal Interpretation of Quantum Mechanics,” in The Modal Interpretation of Quantum Mechanics, D. Dieks and P. Vermaas, eds. (Kluwer Academic, Dordrecht, 1998), pp. 49–67.
D. Dürr, S. Goldstein, K. Münch-Berndl, and N. Zanghì, “Hypersurface Bohm-Dirac models,” Phys. Rev. A 60, 2729–36 (1999).
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Myrvold, W.C. Modal Interpretations and Relativity. Foundations of Physics 32, 1773–1784 (2002). https://doi.org/10.1023/A:1021406924313
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DOI: https://doi.org/10.1023/A:1021406924313