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Reconciling Spacetime and the Quantum: Relational Blockworld and the Quantum Liar Paradox

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The Relational Blockworld (RBW) interpretation of non-relativistic quantum mechanics (NRQM) is introduced. Accordingly, the spacetime of NRQM is a relational, non-separable blockworld whereby spatial distance is only defined between interacting trans-temporal objects. RBW is shown to provide a novel statistical interpretation of the wavefunction that deflates the measurement problem, as well as a geometric account of quantum entanglement and non-separability that satisfies locality per special relativity and is free of interpretative mystery. We present RBW’s acausal and adynamical resolution of the so-called “quantum liar paradox,” an experimental set-up alleged to be problematic for a spacetime conception of reality, and conclude by speculating on RBW’s implications for quantum gravity.

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References

  1. van Fraassen, B.C.: Quantum Mechanics: An Empiricist View. Oxford University Press, London (1991), p. 4

    Google Scholar 

  2. Smolin, L.: The Trouble with Physics. Houghton Mifflin, Boston (2006), p. 256

    Google Scholar 

  3. Schrödinger, E.: Ann. Phys. 79, 489–527 (1926)

    Article  Google Scholar 

  4. Einstein, A.: Science 91(5), 487–492 (1940)

    Article  ADS  Google Scholar 

  5. Howard, D.: In: Cohen, R.S., et al. (eds.) Potentiality, Entanglement and Passion-at-Distance, pp. 114–115. Kluwer Academic, Dordrecht (1997)

    Google Scholar 

  6. Howard, D.: In: Cohen, R.S., et al. (eds.) Potentiality, Entanglement and Passion-at-Distance, pp. 124–125. Kluwer Academic, Dordrecht (1997)

    Google Scholar 

  7. Einstein, A.: Dtsch. Litztg. Krit. 45, 1685–1692 (1924)

    Google Scholar 

  8. Howard, D.: Einstein and the development of twentieth-century philosophy of science. In: Cambridge Companion to Einstein (2008, to appear). From his website

  9. Stuckey, W.M., Silberstein, M., Cifone, M.: Phys. Essays 19 (2008, to appear). Preprint quant-ph/0503065

  10. Stuckey, W.M., Silberstein, M., Cifone, M.: In: Foundations of Probability and Physics, vol. 4, pp. 412–421. American Institute of Physics, Melville (2007)

    Google Scholar 

  11. Stuckey, W.M., Silberstein, M., Cifone, M.: In: Relativity and the Dimensionality of the World, Chap. 11. Springer, Berlin (2007). Preprint quant-ph/0605039

    Google Scholar 

  12. Lewis, P.: Br. J. Philos. Sci. 55(4), 713–729 (2004)

    Article  Google Scholar 

  13. Rovelli, C.: Preprint quant-ph/9609002v2 (1997)

  14. Rovelli, C.: Int. J. Theor. Phys. 35, 1637–1678 (1996)

    Article  MATH  MathSciNet  Google Scholar 

  15. Mermin, N.D.: Am. J. Phys. 66, 753–767 (1998)

    Article  ADS  Google Scholar 

  16. Barrett, J.: The Quantum Mechanics of Minds and Worlds. Oxford University Press, London (1999), p. 217

    Google Scholar 

  17. Ladyman, J., et al.: Everything Must Go: Metaphysics Naturalized. Oxford University Press, London (2007)

    Google Scholar 

  18. French, S., Krause, D.: Identity in Physics: A Historical, Philosophical and Formal Analysis. Clarendon, Oxford (2006), pp. 19–20

    Google Scholar 

  19. Dipert, R.: J. Philos. 94, 329–358 (1997)

    Article  MathSciNet  Google Scholar 

  20. Leitgeb, H., Ladyman, J.: Discussion note: Criteria of identity and structuralist ontology. Philos. Math. (2008, forthcoming)

  21. French, S.: In: Butterfield, J., Pagonis, C. (eds.) From Physics to Philosophy, pp. 187–207. Cambridge University Press, Cambridge (1999)

    Google Scholar 

  22. French, S.: Synthese 125, 103–120 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  23. Cassirer, E.: Philos. Phenomenol. Res. 5, 1–35 (1944)

    Article  Google Scholar 

  24. Eddington, A.: The Nature of the Physical World. Cambridge University Press, Cambridge (1928)

    Google Scholar 

  25. Schrödinger, E.: Proc. Cambridge Philos. Soc. 31, 555–563 (1935)

    MATH  Google Scholar 

  26. Schrödinger, E.: Proc. Cambridge Philos. Soc. 32, 446–451 (1936)

    Article  MATH  Google Scholar 

  27. Lyre, H.: Stud. Hist. Philos. Mod. Phys. 35, 643–670 (2004)

    Article  MathSciNet  Google Scholar 

  28. Weyl, H.: The Theory of Groups and Quantum Mechanics. Dover, New York (1931)

    MATH  Google Scholar 

  29. Geroch, R.: General Relativity from A to B. University of Chicago Press, Chicago (1978), pp. 20–21

    Google Scholar 

  30. Price, H.: Time’s Arrow and Archimedes Point. Oxford University Press, Oxford (1996) p. 260

    Google Scholar 

  31. Price, H.: Time’s Arrow and Archimedes Point. Oxford University Press, Oxford (1996), p. 15

    Google Scholar 

  32. Price, H.: Time’s Arrow and Archimedes Point. Oxford University Press, Oxford (1996), p. 224

    Google Scholar 

  33. Cramer, J.: Rev. Mod. Phys. 58, 647–687 (1986)

    Article  ADS  MathSciNet  Google Scholar 

  34. Lewis, P.: Towards a local hidden variable theories. Br. J. Philos. Sci. (2008, forthcoming)

  35. Barrett, J.: Relativistic quantum mechanics through frame-dependent constructions. Philos. Sci. Archives (July, 2004)

  36. Aharonov, Y., Bergmann, P., Lebowitz, J.: Phys. Rev. 134B, 1410–1416 (1964)

    Article  ADS  MathSciNet  Google Scholar 

  37. Elitzur, A.C., Vaidman, L.: Found. Phys. 23, 987–997 (1993)

    Article  ADS  Google Scholar 

  38. Cramer, J.: Rev. Mod. Phys. 58, 661 (1986)

    Article  ADS  MathSciNet  Google Scholar 

  39. Dainton, B.: Time and Space. McGill-Queen’s University Press, Montreal (2001), p. 119

    Google Scholar 

  40. Howard, D.: In: Cohen, R.S., et al. (eds.) Potentiality, Entanglement and Passion-at-Distance, pp. 124–129. Kluwer Academic, Dordrecht (1997)

    Google Scholar 

  41. Pauli, W.: Scientific Correspondence with Bohr, Einstein, Heisenberg a.o., vol. 2, 1930–1939. Springer, Berlin (1985), pp. 402–404 (von Meyenn, K. (ed.))

    Google Scholar 

  42. Kaiser, G.: J. Math. Phys. 22, 705–714 (1981)

    Article  ADS  MathSciNet  Google Scholar 

  43. Bohr, A., Ulfbeck, O.: Rev. Mod. Phys. 67, 1–35 (1995)

    Article  ADS  MathSciNet  Google Scholar 

  44. Anandan, J.: Int. J. Theor. Phys. 42, 1943–1955 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  45. Brown, H., Holland, P.R.: Am. J. Phys. 67(3), 204–214 (1999)

    Article  ADS  MathSciNet  Google Scholar 

  46. Lepore, J.V.: Phys. Rev. 119(2), 821–826 (1960)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  47. Ballentine, L.: Quantum Mechanics. Prentice Hall, Englewood Cliffs (1990), pp. 49–58

    Google Scholar 

  48. Brown, H.: Conversation with the authors while describing his work with P. Holland [45] (Apr 2005)

  49. Bohr, A., Mottelson, B., Ulfbeck, O.: Found. Phys. 34(3), 405–417 (2004)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  50. Bohr, A., Mottelson, B., Ulfbeck, O.: Phys. Today 57(10), 15–16 (2004). A very nice synopsis of their formal result is in the Appendix of their 2004 Foundations paper

    Article  Google Scholar 

  51. Georgi, H.: Lie Algebras in Particle Physics, 2nd edn. Perseus Books, Reading (1999), p. 14

    Google Scholar 

  52. Georgi, H.: Lie Algebras in Particle Physics, 2nd edn. Perseus Books, Reading (1999), p. 25

    Google Scholar 

  53. Georgi, H.: Lie Algebras in Particle Physics, 2nd edn. Perseus Books, Reading (1999), p. 18

    Google Scholar 

  54. Stuckey, W.M.: arXiv:quant-ph/0703039

  55. Toffoli, T.: Int. J. Theor. Phys. 42(2), 363–381 (2003)

    Article  MATH  Google Scholar 

  56. Misner, C.W., Thorne, K.S., Wheeler, J.A.: Gravitation. Freeman, New York (1973), p. 364

    Google Scholar 

  57. Stuckey, W.M.: Phys. Essays 12, 414–419 (1999)

    Article  MathSciNet  Google Scholar 

  58. Shankar, R.: Principles of Quantum Mechanics, 2nd edn. Plenum, New York (1994), p. 226

    MATH  Google Scholar 

  59. Feynman, R.P., Leighton, R.B., Sands, M.: The Feynman Lectures on Physics, Quantum Mechanics, vol. III. Addison-Wesley, Reading (1965), p. 1

    MATH  Google Scholar 

  60. Elitzur, A., Dolev, S.: In: Elitzur, A., Dolev, S., Kolenda, N. (eds.) Quo Vadis Quantum Mechanics, pp. 325–349. Springer, Berlin (2005)

    Chapter  Google Scholar 

  61. Elitzur, A., Dolev, S.: In: Buccheri, R., Elitzur, A., Saniga, M. (eds.) Endophysics, Time, Quantum and the Subjective, pp. 589–606. World Scientific, Singapore (2005)

    Chapter  Google Scholar 

  62. Hardy, L.: Phys. Lett. A 167, 11–16 (1992)

    Article  ADS  MathSciNet  Google Scholar 

  63. Aharonov, Y., Rohrlich, D.: Quantum Paradoxes: Quantum Theory for the Perplexed. Wiley, New York (2005). Esp. Sect. 6.4 and Chap. 17

    MATH  Google Scholar 

  64. Mermin, N.D.: Am. J. Phys. 49(10), 940–943 (1981)

    Article  ADS  Google Scholar 

  65. Elitzur, A.C., Dolev, S., Zeilinger, A.: arXiv:quant-ph/0205182

Download references

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Stuckey, W.M., Silberstein, M. & Cifone, M. Reconciling Spacetime and the Quantum: Relational Blockworld and the Quantum Liar Paradox. Found Phys 38, 348–383 (2008). https://doi.org/10.1007/s10701-008-9206-4

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