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References
W. Heisenberg, Physics and Philosophy (Harper, New York 1962)
E. Schrödinger, “Discussion of probability relations between separated systems,” Proceedings of the Cambridge Philosophical Society 31, 555–563 (1935)
A. Einstein, B. Podolsky, and N. Rosen, “Can Quantum-Mechanical Description of Physical Reality be Considered Complete?” Physical Review 48, 777–780 (1935)
This formulation follows that given in A. Shimony, “The Logic of EPR,” Annales de la Fondation Louis de Broglie 26, 399–411 (2001). To my knowledge, the first to use inductive logic explicitly in a discussion of EPR was B. d’Espagnat, Conceptual Foundations of Quantum Mechanics (Benjamin, Menlo Park, CA 1971); 2nd edn (1976); 3rd edn (1989).
Einstein, Podolsky and Rosen (Ref 3)
G.-C. Ghirardi and R. Grassi, “Outcome Predictions and Property Attribution: the EPR Argument Reconsidered,” Studies in History and Philosophy of Science 25, 397–423 (1994); and M. Redhead and P. la Rivière, “The Relativistic EPR Argument,” in R. S. Cohen, M. Horne and J. Stachel, eds, Potentiality, Entanglement and Passion-at-a-Distance (Kluwer, Dordrecht 1997), pp 197–215. A. Shimony and H. Stein, “On quantum nonlocality, special relativity, and counterfactual reasoning,” in A. Ashtekar, R. S. Cohen, D. Howard, J. Renn, S. Sarkar, and A. Shimony (eds), Revising the Foundations of Relativistic Physics: Festschrift in Honor of John Stachel (Kluwer, Dordrecht 2001), have argued that the assumption of non-quantum mechanical elements of physical reality is needed for justifying a large class of counterfactual inferences.
J. S. Bell, “On the Einstein-Podolsky-Rosen Paradox,” Physics 1, 195–200 (1964); reprinted in J. S. Bell, Speakable and Unspeakable in Quantum Mechanics (Cambridge University Press, Cambridge 1987)
This generalization draws upon the following. J. S. Bell, “Introduction to the Hidden-Variable Question,” in B. d’Espagnat, ed, Foundations of Quantum Mechanics (Academic, New York 1971), pp 171–181; reprinted in Bell, Speakable and Unspeakable (Ref 7). J. F. Clauser, M. A. Horne, A. Shimony and R. A. Holt, “Proposed Experiment to Test Local Hidden Variable Theories,” Physical Review Letters 23, 880–883 (1969). J. F. Clauser and M. A. Horne, “Experimental Consequences of Local Objective Theories,” Physical Review D 10, 526–535 (1974). J. Jarrett, “On the Physical Significance of the Locality Conditions in the Bell Arguments,” Nous 18, (1984). A. Shimony (1990), “An Exposition of Bell’s Theorem,” in A. Miller, ed, Sixty Years of Uncertainty (Plenum, New York 1990), pp 33–43; reprinted in A. Shimony, Search for a Naturalistic World View, vol 2 (Cambridge University Press, Cambridge 1993).
Jarrett, “On the Physical Significance of the Locality Conditions” (Ref 8)
S. J. Freedman and J. F. Clauser, “Experimental Test of Local Hidden-Variable Theories,” Physical Review Letters 28, 938–941 (1972)
Unpublished, though widely reported. For details see R. A. Holt, Ph. D. thesis, Physics Department, Harvard University, 1973.
J. F. Clauser, “Experimental Investigation of a Polarization Correlation Anomaly,” Physical Review Letters 36, 1223–1226 (1976)
A. Aspect, J. Dalibard, and G. Roger, “Experimental Test of Bell’s Inequalities Using Variable Analyzers,” Physical Review Letters 49, 1804–1807 (1982)
W. Tittel, J. Brendel, H. Zbinden, and N. Gisin, “Violation of Bell Inequalities by Photons More than 10 km Apart,” Physical Review Letters 81, 3563–3566 (1998)
G. Weihs, T. Jennewein, C. Simon, H. Weinfurter, and A. Zeilinger, “Violation of Bell’s Inequality under Strict Einstein Locality Conditions: Photons Do not Wear Socks,” Physical Review Letters 81, 5039–5043 (1998)
Clauser and Horne, “Experimental Consequences of Local Objective Theories” (Ref 8)
T. Maudlin, Quantum Non-locality and Relativity (Blackwell, Oxford 1994)
N. D. Mermin and G. M. Schwarz, “Joint distributions and local realism in the higher-spin Einstein-Podolsky-Rosen experiment,” Foundations of Physics 12, 101–135 (1982). A. Garg and N. D. Mermin, “Detector inefficiencies in the Einstein-Podolsky-Rosen experiment,” Physical Review D 35, 3831–3835 (1987)
E. Fry and T. Walther, “A Bell Inequality Experiment Based on Molecular Dissociation — Extension of the Lo-Shimony Proposal to 199Hg (Nuclear Spin 1/2) Dimers,” in R. S. Cohen, M. Horne and J. Stachel, eds, Experimental Metaphysics (Kluwer, Dordrecht 1997), pp 61–71
E. Fry (private commnication).
P. H. Eberhard, “Bell’s Theorem and the Different Conceptions of Locality,” Nuovo Cimento B 46, 392–419 (1978). G.-C. Ghirardi, A. Rimini and T. Weber, “A General Argument against Super-luminal Transmission through the Quantum Mecahnical Measurement Process,” Lettere al Nuovo Cimento 27, 293–298 (1980). D. Page, “The Einstein-Podolsky-Rosen physical reality is completely described by quantum mechanics,” Physics Letters A 91, 57–60 (1982)
A. Connes, Noncommutative Geometry (Academic, New York 1994)
M. Heller and W. Sasin, “Noncommutative Unification of General Relativity and Quantum Mechanics,” International Journal of Theoretical Physics 38, 1619–1642 (1999); M. Heller, W. Sasin, and Z. Odrzygozdz, “State Vector Reduction as a Shadow of a Noncommutative Dynamics,” Journal of Mathematical Physics 41, 1–12 (2000)
A. Shimony, “Can the Fundamental Laws of Nature be the Results of Evolution?” in J. Butterfield and C. Pagonis, eds, From Physics to Philosophy (Cambridge University Press, Cambridge 1999), pp 208–223
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Shimony, A. (2007). Aspects of Nonlocality in Quantum Mechanics. In: Quantum Mechanics at the Crossroads. The Frontiers Collection. Springer, Berlin, Heidelberg . https://doi.org/10.1007/978-3-540-32665-6_6
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