Consistent probabilities in Wheeler-DeWitt quantum cosmology

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 82, Issue 12, 2010, Pages

  Craig, David A ^a   Singh, Parampreet ^b,c  

^a LE MOYNE COLLEGE   (United States)

^b PERIMETER INSTITUTE FOR THEORETICAL PHYSICS   (Canada)

^c LOUISIANA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 78651271310     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.82.123526     Document Type: Article

References (57)

1. M. Gell-Mann and J.B. Hartle, in Proceedings of the 3rd International Symposium on the Foundations of Quantum Mechanics in the Light of New Technology, edited by, S. Kobayashi, H. Ezawa, M. Murayama, and, S. Nomura, (Physical Society of Japan, Tokyo, 1990).
2. M. Gell-Mann and J.B. Hartle, in Complexity, Entropy, and the Physics of Information, edited by, W. Zurek, SFI Studies in the Sciences of Complexity Vol. VII (Addison-Wesley, Reading, 1990).
3. J.B. Hartle, in Gravitation and Quantizations, Proceedings of the 1992 Les Houches Summer School, edited by, B. Julia, and, J. Zinn-Justin, (North Holland, Amsterdam, 1995).
4. R.B. Griffiths, J. Stat. Phys. 36, 219 (1984). JSTPSB 0022-4715 10.1007/BF01015734
5. R.B. Griffiths, Consistent Quantum Theory (Cambridge University Press, Cambridge, 2008).
6. R. Omnès, J. Stat. Phys. 53, 893 (1988); JSTPSB 0022-4715 10.1007/BF01014230
7. R. Omnès J. Stat. Phys. 53, 933 (1988); JSTPSB 0022-4715 10.1007/BF01014231
8. R. Omnès J. Stat. Phys. 53, 957 (1988); JSTPSB 0022-4715 10.1007/BF01014232
9. R. Omnès J. Stat. Phys. 57, 357 (1989); JSTPSB 0022-4715 10.1007/BF01023649
10. R. Omnès Ann. Phys. (N.Y.) APNYA6 0003-4916 201, 354 (1990); 10.1016/0003-4916(90)90045-P
11. R. Omnès Rev. Mod. Phys. 64, 339 (1992). RMPHAT 0034-6861 10.1103/RevModPhys.64.339
12. R. Omnès, The Interpretation of Quantum Mechanics (Princeton University Press, Princeton, 1994).
13. J.B. Hartle, in.
14. J.J. Halliwell, Phys. Rev. D PRVDAQ 0556-2821 60, 105031 (1999). 10.1103/PhysRevD.60.105031 (Pubitemid 40647503)
15. J.J. Halliwell and J. Thorwart, Phys. Rev. D PRVDAQ 0556-2821 64, 124018 (2001). 10.1103/PhysRevD.64.124018
16. J.J. Halliwell and J. Thorwart, Phys. Rev. D PRVDAQ 0556-2821 65, 104009 (2002). 10.1103/PhysRevD.65.104009 (Pubitemid 44628368)
17. J.J. Halliwell and P. Wallden, Phys. Rev. D PRVDAQ 1550-7998 73, 024011 (2006). 10.1103/PhysRevD.73.024011
18. J.J. Halliwell, Phys. Rev. D PRVDAQ 1550-7998 80, 124032 (2009). 10.1103/PhysRevD.80.124032
19. J.B. Hartle and D. Marolf, Phys. Rev. D PRVDAQ 0556-2821 56, 6247 (1997). 10.1103/PhysRevD.56.6247
20. D.A. Craig and J.B. Hartle, Phys. Rev. D PRVDAQ 0556-2821 69, 123525 (2004). 10.1103/PhysRevD.69.123525 (Pubitemid 44653861)
21. C. Anastopoulos and K. Savvidou, Classical Quantum Gravity CQGRDG 0264-9381 22, 1841 (2005). 10.1088/0264-9381/22/9/023 (Pubitemid 41238055)
22. D.A. Craig and P. Singh, Found. Phys. (in press). doi: 10.1007/s10701-010-9422-6 (2010) FNDPA4 0015-9018
23. D.A. Craig and P. Singh, in Quantum Theory: Reconsideration of Foundations-5, AIP Vol.1232, edited by, A. Krennikhov, (American Institute of Physics, 2010).
24. M. Gell-Mann and J.B. Hartle, Phys. Rev. D PRVDAQ 0556-2821 47, 3345 (1993). 10.1103/PhysRevD.47.3345
25. J. Halliwell, in.
26. D.A. Craig and P. Singh (unpublished).
27. A. Ashtekar, T. Pawlowski, and P. Singh, Phys. Rev. D PRVDAQ 1550-7998 74, 084003 (2006). 10.1103/PhysRevD.74.084003 (Pubitemid 44498346)
28. A. Ashtekar, A. Corichi, and P. Singh, Phys. Rev. D PRVDAQ 1550-7998 77, 024046 (2008). 10.1103/PhysRevD.77.024046
29. C.J. Isham and N. Linden, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 35, 5452 (1994). 10.1063/1.530759 (Pubitemid 24823399)
30. D.A. Craig (unpublished).
31. E. Joos, H.D. Zeh, C. Kiefer, D. Giulini, J. Kupsch, and I.-O. Stamatescu, Decoherence and the Appearance of a Classical World in Quantum Theory (Springer-Verlag, Berlin, 2003), 2nded.,.
32. M. Schlosshauer, Decoherence and the Quantum-to-Classical Transition (Springer-Verlag, Berlin, 2007).
33. L. Diosi, Phys. Rev. Lett. 92, 170401 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.92.170401
34. R.M. Wald, General Relativity (University of Chicago Press, Chicago, 1984).
35. A. Ashtekar, T. Pawlowski, and P. Singh, Phys. Rev. D PRVDAQ 1550-7998 73, 124038 (2006). 10.1103/PhysRevD.73.124038
36. C. Rovelli, Phys. Rev. D PRVDAQ 0556-2821 65, 124013 (2002). 10.1103/PhysRevD.65.124013 (Pubitemid 44628286)
37. D. Marolf, Classical Quantum Gravity CQGRDG 0264-9381 12, 1199 (1995). 10.1088/0264-9381/12/5/011
38. B. Dittrich, Classical Quantum Gravity CQGRDG 0264-9381 23, 6155 (2006). 10.1088/0264-9381/23/22/006
39. A. Ashtekar, J. Lewandowski, D. Marolf, J. Mourao, and T. Thiemann, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 36, 6456 (1995). 10.1063/1.531252
40. D. Marolf, arXiv:gr-qc/9508015.
41. A. Corichi and P. Singh, Phys. Rev. Lett. PRLTAO 0031-9007 100, 161302 (2008). 10.1103/PhysRevLett.100.161302 (Pubitemid 351585513)
42. N. Yamada and N. Takagi, Prog. Theor. Phys. 85, 985 (1991); PTPKAV 0033-068X 10.1143/PTP.85.985
43. N. Yamada N. Takagi Prog. Theor. Phys. 86, 599 (1991); PTPKAV 0033-068X 10.1143/PTP.86.599
44. N. Yamada N. Takagi Prog. Theor. Phys. 87, 77 (1992). PTPKAV 0033-068X 10.1143/PTP.87.77
45. N. Yamada, Sci. Rep. Tohoku Uni. 8, 177 (1992);
46. N. Yamada Phys. Rev. A 54, 182 (1996). PLRAAN 1050-2947 10.1103/PhysRevA.54.182
47. J. Whelan, Phys. Rev. D PRVDAQ 0556-2821 50, 6344 (1994). 10.1103/PhysRevD.50.6344
48. R. Micanek and J. Hartle, Phys. Rev. A PLRAAN 1050-2947 54, 3795 (1996). 10.1103/PhysRevA.54.3795
49. J.B. Hartle, R. Laflamme, and D. Marolf, Phys. Rev. D PRVDAQ 0556-2821 51, 7007 (1995). 10.1103/PhysRevD.51.7007
50. J.J. Halliwell, Phys. Rev. D PRVDAQ 0556-2821 58, 105015 (1998); 10.1103/PhysRevD.58.105015
51. J.J. Halliwell Phys. Rev. Lett. 83, 2481 (1999). PRLTAO 0031-9007 10.1103/PhysRevLett.83.2481
52. J.J. Halliwell, Phys. Rev. D PRVDAQ 0556-2821 39, 2912 (1989). 10.1103/PhysRevD.39.2912
53. T. Padmanabhan, Phys. Rev. D PRVDAQ 0556-2821 39, 2924 (1989). 10.1103/PhysRevD.39.2924
54. S. Habib and R. Laflamme, Phys. Rev. D PRVDAQ 0556-2821 42, 4056 (1990). 10.1103/PhysRevD.42.4056
55. A. Barvinsky and A. Kamenshchik, Classical Quantum Gravity CQGRDG 0264-9381 7, 2285 (1990); 10.1088/0264-9381/7/12/010
56. A. Barvinsky A. Kamenshchik Phys. Rev. D PRVDAQ 0556-2821 52, 743 (1995). 10.1103/PhysRevD.52.743
57. Quantum cosmology and baby universes: Proceedings of the 1989 Jerusalem Winter School for Theoretical Physics, edited by, S. Coleman, J.B. Hartle, T. Piran, and, S. Weinberg, (World Scientific, Singapore, 1991), Vol.7.