Abstract
Three claims about what makes a theory “physically complete” are (1) Shimony's assertion that a complete theory says “all there is to say” about nature; (2) EPR's requirement that a complete theory describe all “elements of reality”; and (3) Ballentine and Jarrett's claim that a “predictively complete” theory must obey a condition used in Bell deviations. After introducing “statistical completeness” as a partial formalization of (1), we explore the logical and motivational relationships connecting these completeness conditions. We find that statistical completeness motivates but does not imply Jarrett's completeness condition, because Jarrett's condition encodes further intuitions about locality and causality. We also dispute Ballentine and Jarrett's claim that EPR-completeness implies Jarrett's completeness condition.
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References
A. Einstein, B. Pdolsky, and N. Rosen,Phys. Rev. 47, 777 (1935).
A. Shimony,Proceedings of the International Symposium: Foundations of Quantum Mechanics in Light of New Technology (Physical Society of Japan, Tokyo, 1984), p. 225.
L. Ballentine and J. Jarrett,Am. J. Phys. 55, 696 (1987).
J. Jarrett,Noûs 18, 569 (1984).
J. von Neumann,Mathematical Foundations of Quantum Mechanics (Springer, Berlin, 1932); English translation (Princeton University Press, Princeton, New Jersey, 1955), Chap. 4.
H. R. Brown, “Nonlocality in Quantum Mechanics,”Aristotelian Society, Supplementary VolumeLXV, 141 (1991).
G. Ghirardi, A. Rimini, and T. Weber,Nuovo Cimento B 29, 135 (1975).
B. d'Espagnat,Conceptual Foundations of Quantum Mechanics (Benjamin, Reading, Massachusetts, 1976).
D. Bohm and B. Hiley,Phys. Rep. 144, 321 (1987).
S. Foster and H. R. Brown,Int. J. Theor. Phys. 27, 1507 (1988).
B. van Fraassen,Synthese 52, 25 (1982).
H. Reichenbach,The Direction of Time (University of California Press, Berkeley, 1956).
M. Redhead,Nonlocality, Incompleteness, and Realism (Clarendon Press, Oxford, 1987).
A. Elby,Philos. Sci. 58, 16 (1992).
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Elby, A., Brown, H.R. & Foster, S. What makes a theory physically “complete”?. Found Phys 23, 971–985 (1993). https://doi.org/10.1007/BF00736011
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DOI: https://doi.org/10.1007/BF00736011