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Remarks on Space-Time and Locality in Everett’s Interpretation

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Non-locality and Modality

Part of the book series: NATO Science Series ((NAII,volume 64))

Abstract

Interpretations that follow Everett’s idea that (at some level of description) the universal wave function contains a multiplicity of coexisting realities, usually claim to give a completely local account of quantum mechanics. That is, they claim to give an account that avoids both a non-local collapse of the wave function, and the action at a distance needed in hidden variable theories in order to reproduce the quantum mechanical violation of the Bell inequalities. In this paper, I sketch how these claims can be substantiated in two renderings of Everett’s ideas, namely the many-minds interpretation of Albert and Loewer, and versions of many-worlds interpretations that rely on the concepts of the theory of decoherence.

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References

  1. Albert, D. (1992) Quantum Mechanics and Experience, Harvard University Press, Cambridge, MA.

    Google Scholar 

  2. Albert, D. and Loewer, B. (1988) Interpreting the many worlds interpretation, Synthese 77, 195–213.

    Article  MathSciNet  Google Scholar 

  3. Bacciagaluppi, G. (2000) Delocalized properties in the modal interpretation of a continuous model of decoherence, Foundations of Physics 30, 1431–1444.

    Article  MathSciNet  Google Scholar 

  4. Bacciagaluppi, G. (to appear) The role of decoherence in quantum theory, The Stanford Encyclopedia of Philosophy, http://plato.stanford.edu/.

  5. Bacciagaluppi, G. (to appear) The arrow of time in decoherent histories.

    Google Scholar 

  6. Bacciagaluppi, G. and Dickson, M. (1999) Dynamics for modal interpretations, Foundations of Physics 29, 1165–1201.

    Article  MathSciNet  Google Scholar 

  7. Barrett, J. A. (1998) Everett’s relative-state formulation of quantum mechanics, The Stanford Encyclopedia of Philosophy, http://plato.Stanford.edu/entries/qm-everett/.

  8. Barrett, J. A. (1999) The Quantum Mechanics of Minds and Worlds, Oxford University Press, Oxford.

    Google Scholar 

  9. Bell, J. S. (1987) Speakable and Unspeakable in Quantum Mechanics, Cambridge University Press, Cambridge.

    MATH  Google Scholar 

  10. Belnap, N. (1992) Branching space-time, Synthese 92, 385–434.

    Article  MathSciNet  MATH  Google Scholar 

  11. Belnap, N. (2002) EPR-like “funny business” in the theory of branching space-times, this volume.

    Google Scholar 

  12. Bohm, D. (1952) A suggested interpretation of the quantum theory in terms of ‘hidden’ variables, I and II, Physical Review 85, 166–193. Reprinted in [67], pp. 369-396.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  13. Broglie, L. de (1928) La nouvelle dynamique des quanta, in Électrons et photons. Rapports et discussions du cinquième conseil de physique Solvay, Gauthier-Villars, Paris, pp. 105–132.

    Google Scholar 

  14. Bub, J. (1997) Interpreting the Quantum World, Cambridge University Press, Cambridge.

    MATH  Google Scholar 

  15. Busch, P., Grabowski, M., and Lahti, P. (1995) Operational Quantum Physics, Springer, Berlin.

    MATH  Google Scholar 

  16. Butterfield, J. N. (1995) Worlds, minds and quanta, Aristotelian Society Supplementary Volume 69, 113–158.

    Google Scholar 

  17. Butterfield, J. N. (1996) Whither the minds?, British Journal for the Philosophy of Science 47, 200–221.

    Article  MathSciNet  Google Scholar 

  18. Butterfield, J. N. (2001) Some worlds of quantum theory, Pittsburgh PhilSci Archive, http://phi1sci-archive.pitt.edu/documents/diskO/00/00/02/03/.

  19. Donald, M. J. (1995) A mathematical characterisation of the physical structure of observers, Foundations of Physics 25, 529–571.

    Article  MathSciNet  ADS  Google Scholar 

  20. Donald, M. J. (1996) private communication.

    Google Scholar 

  21. Donald, M. J. (1997) On many-minds interpretations of quantum theory, Los Alamos E-Print Archive, http://www.arxiv.org/abs/quant-ph/9703008.

  22. Donald, M. J. (1999) Progress in a many-minds interpretation of quantum theory, Los Alamos E-Print Archive, http://www.arxiv.org/abs/quant-ph/9904001.

  23. Dowker, F. and Kent, A. (1995) Properties of consistent histories, Physical Review Letters 75, 3038–3041.

    Article  ADS  Google Scholar 

  24. Dowker, F. and Kent, A. (1996) On the consistent histories approach to quantum mechanics, Journal of Statistical Physics 82, 1575–1646.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  25. Everett, H. III (1957) ‘Relative state’ formulation of quantum mechanics’, Reviews of Modern Physics 29, 454–462. Reprinted in [67], pp. 315-323.

    Article  MathSciNet  ADS  Google Scholar 

  26. Fleming, G. N. (1988) Lorentz-invariant state reduction and localization, PSA 1988, Vol. 2, 112–126.

    Google Scholar 

  27. van Fraassen, B. C. (1991) Quantum Mechanics: An Empiricist View, Clarendon Press, Oxford.

    Google Scholar 

  28. Gell-Mann, M. and Hartle, J. B. (1990) Quantum mechanics in the light of quantum cosmology, in W. H. Zurek (ed.), Complexity, Entropy and the Physics of Information, Addison-Wesley, Reading, MA, pp. 425–458.

    Google Scholar 

  29. Ghirardi, G. C, Rimini, A., and Weber, T. (1986) Unified dynamics for microscopic and macroscopic systems, Physical Review D 34, 470–479.

    MathSciNet  ADS  Google Scholar 

  30. Giulini, D., Joos, E., Kiefer, C, Kupsch, J., Stamatescu, I.-O., and Zeh, H. D. (1996) Decoherence and the Appearance of a Classical World in Quantum Theory, Springer, Berlin.

    MATH  Google Scholar 

  31. Griffiths, R. (1984) Consistent histories and the interpretation of quantum mechanics, Journal of Statistical Physics 36, 219–272.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  32. Haag, R. (1996) Local Quantum Physics: Fields, Particles, Algebras, 2nd revised and enlarged edition, Springer, Berlin.

    MATH  Google Scholar 

  33. Haag, R. and Kastler, D. (1964) An algebraic approach to quantum field theory, Journal of Mathematical Physics 5, 848–861.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  34. Halliwell, J. J. (1995) A review of the decoherent histories approach to quantum mechanics, Annals of the New York Academy of Sciences 755,126–140.

    Article  MathSciNet  Google Scholar 

  35. Hartle, J. B. (1997) Quantum pasts and the utility of history, Los Alamos E-Print Archive, http://www.arxiv.org/abs/gr-qc/9712001.

  36. Hemmo, M. and Pitowsky, I. (to appear) Probability and nonlocality in many-minds interpretations of quantum mechanics.

    Google Scholar 

  37. Ismael, J. (to appear) The reality of time, chapter from The Situated Self.

    Google Scholar 

  38. Jarrett, J. P. (1984) On the physical significance of the locality conditions in the Bell arguments, Nous 18, 569–589.

    Article  MathSciNet  Google Scholar 

  39. Jones, M. and Clifton, R. K. (1993) Against experimental metaphysics, in P. A. French, T. E. Euling, Jr., and H. K. Wettstein (eds.), Philosophy of Science, Mid-West Studies in Philosophy, Vol. XVIII, 295–316.

    Google Scholar 

  40. Kent, A. (1996) Quasiclassical dynamics in a closed quantum system, Physical Review A 54, 4670–4675.

    Article  MathSciNet  ADS  Google Scholar 

  41. Lockwood, M. (1989) Mind, Brain and the Quantum: The Compound ‘I’, Blackwell, Oxford

    Google Scholar 

  42. McCall, S. (1994) A Model of the Universe: Time, Probability and Decision, Oxford University Press, Oxford.

    Google Scholar 

  43. McCall, S. (2000) QM and STR: the combining of quantum mechanics and relativity theory, Philosophy of Science 67 (Proceedings), S535–S548.

    Article  MathSciNet  Google Scholar 

  44. Müller, T. (2002) Branching Space-Time, Modal Logic and the Counterfactual Conditional, this volume.

    Google Scholar 

  45. Nelson, E. (1985) Quantum Fluctuations, Princeton University Press, Princeton.

    MATH  Google Scholar 

  46. Parfit, D. (1984) Reasons and Persons, Oxford University Press, Oxford.

    Google Scholar 

  47. Pearle, P. (1989) Combining stochastic dynamical state-vector reduction with spontaneous localization, Physical Review A 39, 2277–2289.

    ADS  Google Scholar 

  48. Percival, I. (1998) Quantum State Diffusion, Cambridge University Press, Cambridge.

    MATH  Google Scholar 

  49. Placek, T. (2000) Is Nature Deterministic?, Jagiellonian University Press, Cracow.

    Google Scholar 

  50. Placek, T. (2002) Indeterminism is more than enough, this volume.

    Google Scholar 

  51. Ridderbos, K. (1999) The loss of coherence in quantum cosmology, Studies in History and Philosophy of Modern Physics 30, 41–60.

    Article  MathSciNet  MATH  Google Scholar 

  52. Rudolph, O. (1999) Consistent histories and POV measures, Helvetica Physica Acta 72, 33–70.

    MathSciNet  MATH  Google Scholar 

  53. Saunders, S. (1995) Time, quantum mechanics, and decoherence, Synthese 102, 235–266.

    Article  MathSciNet  MATH  Google Scholar 

  54. Saunders, S. (1996) Time, quantum mechanics, and tense, Synthese 107, 19–53.

    Article  MathSciNet  Google Scholar 

  55. Saunders, S. (1998) Time, quantum mechanics, and probability, Synthese 114, 405–444.

    Article  MathSciNet  Google Scholar 

  56. Saunders, S. (2000) Tense and indeterminateness, Philosophy of Science 67 (Proceedings), S600-S611.

    Google Scholar 

  57. Schrödinger, E. (1926) Der stetige Übergang von der Mikro-zur Makromechanik, Naturwissenschaften 14, 664–666.

    Article  ADS  MATH  Google Scholar 

  58. Shimony, A. (1986) Events and processes in the quantum world, in R. Penrose and C. J. Isham (eds.), Quantum Concepts in Space and Time, Clarendon Press, Oxford, pp. 182–203.

    Google Scholar 

  59. Tappenden P. (2000) Identity and probability in Everett’s multiverse, British Journal for the Philosophy of Science 51, 99–114.

    Article  MathSciNet  Google Scholar 

  60. Unruh, W. (2002) Is Quantum Mechanics Non-Local?, this volume.

    Google Scholar 

  61. Vaidman, L. (1994) On the paradoxical aspects of new quantum experiments, PSA 1994, Vol. 2, 211–217.

    Google Scholar 

  62. Vaidman, L. (1998) On schizophrenic experiences of the neutron or why we should believe in the many-worlds interpretation of quantum theory, International Studies in the Philosophy of Science 12, 245–261.

    Article  MathSciNet  MATH  Google Scholar 

  63. Vaidman, L. (to appear) The many-worlds interpretation of quantum mechanics, The Stanford Encyclopedia of Philosophy, http://plato.Stanford.edu.

  64. Vink, J. (1993) Quantum mechanics in terms of discrete beables, Physical Review A 48, 1808–1818.

    Google Scholar 

  65. Wallace, D. (2001) Worlds in the Everett interpretation, Studies in History and Philosophy of Modern Physics, forthcoming. Also available at the Pittsburgh PhilSci Archive, http://phi1sei-archive.pitt.edu/documents/diskO/00/00/02/08/.

  66. Wallace, D. (2001) Implications of quantum theory in the foundations of statistical mechanics, Pittsburgh PhilSci Archive, http://philsci-archive.pitt.edu/documents/diskO/00/00/04/10/.

  67. Wheeler, J. A. and Zurek, W. H. (1983) Quantum Theory and Measurement, Princeton University Press, Princeton.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Philosophy, University of California at Berkeley, 314 Moses Hall, Berkeley, CA, 94720-2390, USA

    Guido Bacciagaluppi

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  1. Guido Bacciagaluppi
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Editors and Affiliations

  1. Jagiellonian University, Cracow, Poland

    Tomasz Placek

  2. All Souls College, Oxford, UK

    Jeremy Butterfield

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Bacciagaluppi, G. (2002). Remarks on Space-Time and Locality in Everett’s Interpretation. In: Placek, T., Butterfield, J. (eds) Non-locality and Modality. NATO Science Series, vol 64. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0385-8_7

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  • DOI: https://doi.org/10.1007/978-94-010-0385-8_7

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-0662-3

  • Online ISBN: 978-94-010-0385-8

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