John S. Bell's concept of local causality

American Journal of Physics

Volumn 79, Issue 12, 2011, Pages 1261-1275

  Norsen, Travis ^a  

^a SMITH COLLEGE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 82855181624     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.3630940     Document Type: Article

References (50)

1. Born M. The Born-Einstein Letters 1971, Irene Born, translated by (Walker and Company, New York)
2. Hesse M. Forces and Fields: The Concept of Action at a Distance in the History of Physics 2005, (Dover, Mineola, NY)
3. McMullin E. The Explanation of Distant Action: Historical Notes. Philosophical Consequences of Quantum Theory 1989, James T. Cushing, E. McMullin in edited by and (University of Notre Dame Press, Notre Dame)
4. Newton I. Newton's philosophy. The Stanford Encyclopedia of Philosophy Edward N. Zalta, February 25, 1693 letter to Richard Bentley. See, for example, Andrew Janiak in edited by .
5. Bernard Cohen I. A guide to Newton's Principia. Isaac Newton, The Principia 1999, 60-64 and 277-280. I. B. Cohen, Anne Whitman in translated by and (University of California Press, Berkeley, ). See especially
6. Einstein A. Relativity: The Special and the General Theory 2006, 47. (Penguin Classics, New York)
7. Bell J. La nouvelle cuisine. Between Science and Technology 1990, 232-248. A. Sarlemijn, P. Kroes, in edited by and (Elsevier Science, Amsterdam, ); reprinted in Ref. 8,
8. Bell J. Speakable and Unspeakable in Quantum Mechanics 2004, 2nd ed. (Cambridge U.P., Cambridge)
9. Einstein A. Podolsky B. Rosen N. Can quantum-mechanical description of reality be considered complete?. Phys. Rev. 1935, 47:777-780. 10.1103/PhysRev.47.777
10. Norsen T. Einstein's boxes. Am. J. Phys. 2005, 73(2):164-176. 10.1119/1.1811620
11. Tumulka R. Understanding Bohmian mechanics: A dialogue. Am. J. Phys. 2004, 72(9):1220-1226. The terminology of "hidden variables" is unfortunate because, at least in the one existing example of a serious hidden variables theory (the de Broglie-Bohm "pilot wave" theory, which adds to the standard quantum mechanical wave function definite particle positions obeying a deterministic evolution law), the "hidden variables" are not hidden. In Ref. 18, Bell remarked that "it would be appropriate to refer to the ×s as 'exposed variables' and to ψ as a 'hidden variable.' It is ironic that the traditional terminology is the reverse of this." Similarly in Ref. 12, he writes "Although [in Bohmian mechanics] ψ is a real field it does not show up immediately in the result of a single 'measurement,' but only in the statistics of many such results. It is the de Broglie-Bohm variable X that shows up immediately each time. That X rather than ψ is historically called a 'hidden' variable is a piece of historical silliness."12 It is also relevant that the wave function ψ is "hidden" in the sense of being not accessible via experiment, even in orthodox quantum theory, which is the primary example of a non-hidden-variable theory. See, 10.1119/1.1748054
12. Bell J. On the impossible pilot wave. Found. Phys. 1982, 12:989-99. 10.1007/BF01889272 reprinted in Ref. 8, pp. 159-168.
13. Bell J. Bertlmann's socks and the nature of reality. J. Physique, Colloque C2, suppl. au numero 3, Tome 1981, 42(C2):41-61 reprinted in Ref. 8, pp. 139-158.
14. Bell J. On the Einstein-Podolsky-Rosen paradox. Physics 1964, 1:195-200 reprinted in Ref. 8, pp. 14-21.
15. Bell J. Speakable and unspeakable in quantum mechanics. 1984, 169-172. introductory remarks at Naples-Amalfi meeting, May 7, reprinted in Ref. 8,
16. Aspect A. Dalibard J. Roger G. Experimental test of Bell's inequalities using time-varying analyzers. Phys. Rev. Lett. 1982, 49:1804-1807. 10.1103/PhysRevLett.49.1804
17. Weihs G. Jennewein T. Simon C. Weinfurter H. Zeilinger A. Violation of Bell's inequality under strict Einstein locality conditions. Phys. Rev. Lett. 1998, 81:5039-5043. 10.1103/PhysRevLett.81.5039
18. Bell J. Quantum mechanics for cosmologists. Quantum Gravity 2 1981, 117-138. C. Isham, R. Penrose, D. Sciama in edited by and (Clarendon Press, Oxford, ); reprinted in Ref. 8,
19. The Ghost in the Atom 1986, P. C. W. Davies, J. R. Brown, interview with J. S. Bell, edited by and (Cambridge U.P., Cambridge, ), Chap. 3.
20. Bell J.S. How to teach special relativity. Progress in Scientific Culture 1976, 1:67-80. See reprinted in Ref. 8,
21. Price H. Time's Arrow and Archimedes' Point 1997, (Oxford U.P., Oxford)
22. Bell J. Are there quantum jumps?. Schrödinger: Centenary celebration of a Polymath 1987, 201-212. C. W. Kilmister in edited by (Cambridge U.P., Cambridge, ); reprinted in Ref. 8,
23. Tumulka R. relativistic version of the Ghirardi-Rimini-Weber model. J. Stat. Phys. 2006, 125:821-840 See also Tim Maudlin, "Non-local correlations in quantum theory: how the trick might be done," in Einstein, Relativity and Absolute Simultaneity, edited by W. L. Craig and Q. Smith (Routledge, New York, 2008).
24. Shimony A. Bell's theorem. The Stanford Encyclopedia of Philosophy Edward N. Zalta in edited by .
25. Wigner E. Unterpretation of quantum mechanics. Quantum Theory and Measurement 1983, J. A. Wheeler, W. H. Zurek in edited by and (Princeton U.P., Princeton)
26. David Mermin N. Hidden variables and the two theorems of John Bell. Rev. Mod. Phys. 1993, 65(3):803-815. 10.1103/RevModPhys.65.803
27. Jarrett J. Bell's theorem: A guide to the implications. Philosophical Consequences of Quantum Theory 1989, J. T. Cushing, E. McMullin in edited by and (University of Notre Dame Press, Notre Dame)
28. Zeilinger A. The message of the quantum. Nature 2005, 438:743. 10.1038/438743a
29. Greenstein G. Zajonc A. The Quantum Challenge 2005, and 2nd ed. (Jones and Bartlett, Sudbury, MA)
30. Griffiths D. Introduction to Quantum Mechanics 1995, (Prentice Hall, Upper Saddle River, NJ)
31. Townsend J. A Modern Approach to Quantum Mechanics 1992, (McGraw-Hill, New York)
32. Sakurai J.J. Modern Quantum Mechanics 1994, (Addison-Wesley, Boston)
33. For Bell, there was no important distinction between "locality" and "local causality." For example, Bell first used the phrase "local causality" in print in Ref. 36. In the same paper, he refers to the inequality (which he has shown how to derive from "local causality") as "the locality inequality" and remarks that the detailed discussion of "local causality" in Sec. 2 was "an attempt to be rather explicit and general about the notion of locality, along lines only hinted at in previous publications," see Ref. 36. This usage is consistent with his later publications. See, for example, Ref. 8, pp. xi-xii and Ref. 7.
34. Mann C. Crease R. John Bell, particle physicist". Omni 1988, 10(8):84-92. (interview), and 121.
35. Bell J. Beables for quantum field theory. 173-180. CERN-TH 4035/84, August 2, 1984; reprinted in Ref. 8,
36. Bell J. The theory of local beables. Epistemological Lett. 1976, 9:11-24 reprinted in Ref. 8, pp. 52-62.
37. Bell J. Against 'measurement'. 62 Years of Uncertainty 1989, 213-231. A. I. Miller in edited by (Plenum Publishers, New York, ); reprinted in Ref. 8,
38. Norsen T. Against 'Realism'. Found. Phys. 2007, 37(3):311-340. 10.1007/s10701-007-9104-1
39. Clauser J. Horne M.A. Shimony A. Holt R.A. Proposed experiment to test local hidden-variable theories. Phys. Rev. Lett. 1969, 23:880-884. 10.1103/PhysRevLett.23.880
40. Bell J. Free variables and local causality. Epistemological Lett. 1977, 15:100-104 reprinted in Dialectica 39 103-106 (1985) and in Ref. 8,
41. Butterfield J. Bell's theorem: What it takes. British J. Philos. Sci. 1992, 42:41-83. 10.1093/bjps/43.1.41 ,.
42. Brown H. Physical Relativity 2005, (Oxford University Press, Oxford)
43. Maudlin T. Quantum Non-Locality and Relativity 2002, 2nd ed. (Blackwell, Malden, MA)
44. What we call "local signaling" is also sometimes called "no signaling" or "signal locality.".
45. Ballentine L. Jarrett J. Bell's theorem: Does quantum mechanics contradict relativity?. Am. J. Phys. 1987, 55(8):696-701. See, for example, Refs. 33 and 34 and, 10.1119/1.15059
46. Norsen T. Bell Locality and the nonlocal character of nature. Found. Phys. Lett. 2006, 19:633-655. For a more detailed version of this argument see, 10.1007/s10702-006-1055-9
47. David Mermin N. Bringing home the atomic world: Quantum mysteries for anybody. Am. J. Phys. 1981, 49:940-943. 10.1119/1.12594
48. Shimony A. Horne M.A. Clauser J.F. Comment on 'The theory of local beables'. Epistemological Lett. 1976, 9:97-101. and reprinted as "An exchange on local beables," Dialectica39, (1985).
49. About the de Broglie-Bohm theory, Bell wrote: "No one can understand this theory until he is willing to think of ψ as a real objective field rather than just a 'probability amplitude.' Even though it propagates not in 3-space but in 3N-space" in Ref. 18. Some proponents of the de Broglie-Bohm pilot wave theory prefer to interpret the wave function in that theory not as a beable, but rather as a law. See, for example, S. Goldstein and N. Zanghi, 1618 "Reality and the role of the wavefunction in quantum theory," forthcoming in D. Albert and A. Ney, eds. The Wave Function: Essays in the Metaphysics of Quantum Mechanics (Cambridge, UP., 2011).
50. Norsen T. The theory of (exclusively) local beables. Found. Phys. 2010, 40:1858-1884. 10.1007/s10701-010-9495-2