The causal set approach to Quantum Gravity

Approaches to Quantum Gravity: Toward a New Understanding of Space, Time and Matter

Volumn 9780521860451, Issue , 2009, Pages 393-413

  Henson, J ^a  

^a UTRECHT UNIVERSITY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

QUANTUM THEORY;

MOST LIKELY; NEW APPROACHES; QUANTUM GRAVITY; SET OF QUESTIONS; SPACETIME;

GRAVITATION;

EID: 84927074639     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1017/CBO9780511575549.025     Document Type: Chapter

References (81)

1. L. Bombelli, J.-H. Lee, D. Meyer and R. Sorkin, Phys. Rev. Lett. 59 (1987) 521.
2. R. D. Sorkin, First steps with causal sets, in Proceedings of the Ninth Italian Conference on General Relativity and Gravitational Physics, Capri, Italy, September 1990, edited by R. Cianci et al. (Singapore, World Scientific, 1991), pp. 68-90.
3. R. D. Sorkin, Space-time and causal sets, in Relativity and Gravitation: Classical and Quantum, Proceedings of the SILARG VII Conference, Cocoyoc, Mexico, December 1990, edited by J. C. D'Olivo et al. (Singapore, World Scientific, 1991), pp. 150-173.
4. R. D. Sorkin, The causal set approach to quantum gravity, Talk given at the Santa Fe Workshop, New Directions in Simplicial Quantum Gravity, 28th July-8th August 1997, http://t8web.lanl.gov/people/emil/Slides/sf97talks.html.
5. R. D. Sorkin (2003), gr-qc/0309009.
6. R. D. Sorkin (1989), gr-qc/9511063.
7. F. Dowker (2005), gr-qc/0508109.
8. http://physics.syr.edu/sorkin/.
9. S. W. Hawking, The path integral approach to quantum gravity, in General Relativity: An Einstein Centenary Survey (Cambridge, Cambridge University Press, 1979), pp. 746-789.
10. R. D. Sorkin, Int. J. Theor. Phys. 36 (1997) 2759, gr-qc/9706002. 9706002;
11. M. Y. Kalmykov, Class. Quant. Grav. 12 (1995) 1401, hep-th/9502152. 9502152;
12. C. Correia da Silva and R. M. Williams, Class. Quant. Grav. 16 (1999) 2197, gr-qc/9903003.
13. L. Bombelli, R. K. Koul, J.-H. Lee and R. D. Sorkin, Phys. Rev. D34 (1986) 373.
14. R. D. Sorkin (1997), gr-qc/9705006.
15. J. D. Bekenstein (1994), gr-qc/9409015.
16. T. Jacobson and R. Parentani, Found. Phys. 33 (2003) 323, gr-qc/0302099. GR-QC 0302099
17. R. D. Sorkin (1995), gr-qc/9508002.
18. R. D. Sorkin (1996), gr-qc/9701056.
19. C. Barcelo, S. Liberati, and M. Visser (2005), gr-qc/0505065.
20. T. Jacobson, Phys. Rev. Lett. 75 (1995) 1260, gr-qc/9504004. 9504004;
21. G. Brightwell, H. F. Dowker, R. S. Garcia, J. Henson and R. D. Sorkin, Phys. Rev. D67 (2003) 084031, gr-qc/0210061.
22. S. W. Hawking, A. R. King and P. J. McCarthy, J. Math. Phys. 17 (1976) 174.
23. D. B. Malament, J. Math. Phys. 18 (1977) 1399.
24. J. Myrheim, CERN-TH-2538.
25. G. 't Hooft, Talk given at 8th Conf. on General Relativity and Gravitation, Waterloo, Canada, Aug. 7-12, 1977.
26. L. Bombelli, A. Corichi and O. Winkler, Annalen Phys. 14 (2005) 499, gr-qc/0409006.
27. R. P. Feynman, Rev. Mod. Phys. 20 (1948) 367.
28. J. von Neumann, Mathematical Foundations of Quantum Mechanics (Princeton University Press, 1955), chapter 6.
29. J. Henson, Macroscopic observables and Lorentz violation in quantum gravity, in preparation.
30. F. Markopoulou and L. Smolin, Nucl. Phys. B508 (1997) 409, gr-qc/9702025.
31. F. Markopoulou and L. Smolin, Phys. Rev. D58 (1998) 084032, gr-qc/9712067.
32. E. Hawkins, F. Markopoulou and H. Sahlmann, Class. Quant. Grav. 20 (2003) 3839, hep-th/0302111.
33. B. Z. Foster and T. Jacobson, JHEP 08 (2004) 024, hep-th/0407019.
34. B. Riemann, Uber die Hypothesen, welche der Geometrie zu grunde liegen, in The Collected Works of B. Riemann (Dover NY, 1953), pp. 746-789.
35. G. Brightwell and P. Winkler, Order 6 (1989) 235.
36. L. Bombelli and D. A. Meyer, Phys. Lett. A141 (1989) 226.
37. J. Noldus, Class. Quant. Grav. 21 (2004) 839, gr-qc/0308074.
38. D. Meyer, Ph.D. thesis, MIT, 1988.
39. D. D. Reid, Phys. Rev. D67 (2003) 024034, gr-qc/0207103.
40. G. Brightwell and R. Gregory, Phys. Rev. Lett. 66 (1991) 260. PRLTA, 66,260.
41. S. Major, D. Rideout and S. Surya, On recovering continuum topology from a causal set, in preparation.
42. J. Henson, Class. Quant. Grav. 23 (2006) L29, gr-qc/0601069.
43. D. P. Rideout and R. D. Sorkin, Phys. Rev. D63, (2001) 104011, gr-qc/0003117.
44. A. Borde, H. F. Dowker, R. S. Garcia, R. D. Sorkin and S. Surya, Class. Quant. Grav. 16 (1999) 3457, gr-qc/9901063.
45. S. W. Hawking, Nucl. Phys. B144 (1978) 349.
46. F. Dowker, J. Henson and R. D. Sorkin, Mod. Phys. Lett. A19 1829 (2004), gr-qc/0311055.
47. T. Jacobson, S. Liberati and D. Mattingly (2005), astro-ph/0505267. ASTRO-PH 0505267.
48. G. Amelino-Camelia (2004), astro-ph/0410076.
49. J. Collins, A. Perez, D. Sudarsky, L. Urrutia and H. Vucetich, Phys. Rev. Lett. 93 (2004) 191301, gr-qc/0403053.
50. A. Perez and D. Sudarsky, Phys. Rev. Lett. 91, (2003) 179101, gr-qc/0306113. GR-QC 0306113;
51. D. Stoyan, W. Kendall and J. Mecke, Stochastic Geometry and its Applications, 2nd edn (Wiley, 1995), chapter 2.
52. L. Bombelli, J. Henson and R. D. Sorkin (2006), gr-qc/0605006. 0605006.
53. J. Henson and R. D. Sorkin, Coherence of waves from distant sources in a causal set universe, in preparation.
54. C. Rovelli and S. Speziale, Phys. Rev. D67 (2003) 064019, gr-qc/0205108. GR-QC 0205108;
55. E. R. Livine and D. Oriti, JHEP 06 (2004) 050, gr-qc/0405085.
56. J. B. Hartle, Space-time quantum mechanics and the quantum mechanics of space-time, in Proceedings of the Les Houches Summer School on Gravitation and Quantizations, Les Houches, France, 6 Jul.-1 Aug. 1992, edited by J. Zinn-Justin and B. Julia (North-Holland, 1995), gr-qc/9304006.
57. R. D. Sorkin, Mod. Phys. Lett. A9, (1994) 3119, gr-qc/9401003. 9401003;
58. D. P. Rideout and R. D. Sorkin, Phys. Rev. D61 (2000) 024002, gr-qc/9904062.
59. M. Varadarajan and D. Rideout (2005), gr-qc/0504066.
60. D. Kleitman and B. Rothschild, Trans. Amer. Math. Society 205 (1975) 205.
61. F. Dowker and S. Surya (2005), gr-qc/0504069.
62. R. D. Sorkin, Int. J. Theor. Phys. 39 (2000) 1731, gr-qc/0003043.
63. X. Martin, D. O'Connor, D. P. Rideout and R. D. Sorkin, Phys. Rev. D63 (2001) 084026, gr-qc/0009063.
64. A. Ash and P. McDonald, J. Math. Phys. 44 (2003) 1666, gr-qc/0209020.
65. J. Henson (2005), quant-ph/0410051.
66. R. D. Sorkin, Int. J. Theor. Phys. 33 (1994) 523.
67. W. G. Unruh, Phys. Rev. D40 (1989) 1048.
68. R. S. Sorkin, A modified sum-over-histories for gravity, in Highlights in Gravitation and Cosmology, eds. C. V. B. R. Iyer and A. Kembhavi (Cambridge University Press, 1988).
69. G. Amelino-Camelia (2004), gr-qc/0402009.
70. M. Ahmed, S. Dodelson, P. B. Greene and R. Sorkin, Phys. Rev. D69 (2004) 103523, astro-ph/0209274.
71. R. D. Sorkin, Braz. J. Phys. 35 (2005) 280, gr-qc/0503057.
72. L. Anchordoqui, T. Paul, S. Reucroft and J. Swain, Int. J. Mod. Phys. A18 (2003) 2229, hep-ph/0206072.
73. A. Daughton, Recovering locality for causal sets, and related topics, Ph.D. thesis, Syracuse University, 1993.
74. D. Dou, F. Dowker, J. Henson and R. Sorkin, The d'Alembertian on a causal set, in preparation.
75. J. L. Synge, Relativity: The General Theory, (Amsterdam, North-Holland Pub. Co.; New York, Interscience Publishers, 1960).
76. A. Kempf, Phys. Rev. Lett. 92 (2004) 221301, gr-qc/0310035.
77. D. Dou and R. D. Sorkin, Found. Phys. 33 (2003) 279, gr-qc/0302009.
78. D. Dou (1999), gr-qc/0106024.
79. S. Major, D. Rideout and S. Surya (2005), gr-qc/0506133.
80. I. Raptis (2005), gr-qc/0507100.
81. C. J. Isham, Adv. Theor. Math. Phys. 7 331 (2003), gr-qc/0303060.