Is there paradox with infinite space

General Relativity and Gravitation

Volumn 36, Issue 9, 2004, Pages 2095-2106

  Coule, D H ^a  

^a UNIVERSITY OF PORTSMOUTH   (United Kingdom)

Author keywords

cellular automata; cosmology; inflation

Indexed keywords

EID: 4444237822     PISSN: 00017701     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:GERG.0000038474.55903.3f     Document Type: Article

References (49)

1. Luminet, J. P., Weeks, J. R., Riazuelo, A., Lehoucq, R., and Uzan, J. P. (2003). Nature 425, 593.
2. Luminet, J. P. (1995). Phys. Rep. 254, 135; Luminet, J. P. (1998). Spec. Issue Class. Quant. Grav. 15, 2529; Thurston, W. P., and Weeks, J. R. (1984). Sci. Am. 251(7), 108; Luminet, J. P., Starkman, G. D., and Weeks, J. R. (1999). Sci. Am. 280(4), 90.
3. Luminet, J. P. (1995). Phys. Rep. 254, 135; Luminet, J. P. (1998). Spec. Issue Class. Quant. Grav. 15, 2529; Thurston, W. P., and Weeks, J. R. (1984). Sci. Am. 251(7), 108; Luminet, J. P., Starkman, G. D., and Weeks, J. R. (1999). Sci. Am. 280(4), 90.
4. Luminet, J. P. (1995). Phys. Rep. 254, 135; Luminet, J. P. (1998). Spec. Issue Class. Quant. Grav. 15, 2529; Thurston, W. P., and Weeks, J. R. (1984). Sci. Am. 251(7), 108; Luminet, J. P., Starkman, G. D., and Weeks, J. R. (1999). Sci. Am. 280(4), 90.
5. Luminet, J. P. (1995). Phys. Rep. 254, 135; Luminet, J. P. (1998). Spec. Issue Class. Quant. Grav. 15, 2529; Thurston, W. P., and Weeks, J. R. (1984). Sci. Am. 251(7), 108; Luminet, J. P., Starkman, G. D., and Weeks, J. R. (1999). Sci. Am. 280(4), 90.
6. Ellis, G. F. R., and Brundrit, G. B. (1979). QJR Astr. Soc. 20, 37.
7. Garriga, J., and Vilenkin, A. (2002). Phys. Rev. D 64, 43511.
8. Linde, A. D. (1986). Phys. Lett. B 175, 395.
9. Bostrom, N. (2003). Philos. Q. 53, 243.
10. Knobe, J., Olum, K. D., and Vilenkin, A. Philosophical Implications of Inflationary Cosmology (Preprint: physics/0302071).
11. Hanson, R. (2001). J. Evol. Technol. 7 at web site http://jetpress.org
12. Tegmark, M. (2003). In Science and Ultimate Reality, J. D. Barrow, P. C. W. Davies, and C. Harper (Eds.), Cambridge Press, Cambridge; Tegmark, M. (2003). Sci. Am. 288N5, 30.
13. Tegmark, M. (2003). In Science and Ultimate Reality, J. D. Barrow, P. C. W. Davies, and C. Harper (Eds.), Cambridge Press, Cambridge; Tegmark, M. (2003). Sci. Am. 288N5, 30.
14. Rucker, R. (1982). Infinity and the Mind, Harvester Press, Sussex, UK.
15. Web site http: //Mathworld.woltram.com/Chess.html
16. Wolfram, S. (2002). A New Kind of Science, Wolfram media, Champaign, IL.
17. Omnès, R. (1994). The Interpretation of Quantum mechanics, Princeton University Press, Princeton.
18. Hawking, S. W. (2003). Lecture at KITP, Santa Barbara, USA.
19. 't Hooft, G. (2002). (quant-ph/0212095).
20. Coule, D. H. (2000). Phys. Rev. D 62, 124010.
21. Coule, D. H. (2003). Int. J. Mod. Phys. D 12, 963.
22. Davis, T. M., Davies, P. C. W., and Lineweaver, C. H. (2003). Class. Quant. Grav. 20, 2753.
23. Kunze, K. (2003). Phys. Lett. B 587, 1 (hep-th/0310200).
24. Turok, N. (2002). Class. Quant. Grav. 19, 3449.
25. Borde, A., Guth, A. H., and Vilenkin, A. (2003). Phys. Rev. Lett. 90, 151301.
26. Vilenkin, A. (1983). Phys. Rev. D 27, 2848; Guth, A. H. (2003). (astro-ph/0306275).
27. Vilenkin, A. (1983). Phys. Rev. D 27, 2848; Guth, A. H. (2003). (astro-ph/0306275).
28. Bucher, M., Goldhaber, A. S., and Turok, N. (1995). Phys. Rev. D 52, 3314.
29. Gasperini, M., and Veneziano, G. (1993). Mod. Phys. Lett. A 8, 3701.
30. Svozil, K. (2003). (physics/0305048).
31. Wittgenstein, L. (1969). On Certainty, Blackwell, Oxford.
32. Wittgenstein, L. (1958). Philosophical Investigations Blackwell, Oxford.
33. Rucker, R. (1988). Mind Tools, Penguin Books, London.
34. Barrow, J. D. (2003). The Constants of Nature, Vintage Press, London.
35. Putnam, H. (1981). Reason, Truth and History, Cambridge University Press, Cambridge.
36. Mackey, D. (1974). The Clockwork image, Intervarsity Press, London.
37. Barrow, J. D. (1998). Impossibility. Oxford University Press, Oxford.
38. Barrow, J. D. (June 7, 2003). New Scientist, p. 44.
39. Devlin, K. (1998). Mathematics: The New Golden Age, Penguin Books, London.
40. Casti, J. L. (1996). Five Golden Rules, Wiley, New York.
41. Wolpert, D. H. (2001). Phys. Rev. E 65, 016128.
42. Ashtekar, A. (2002). (math-ph/0202008) and references therein.
43. Lloyd, S. (2001). Phys. Rev. Lett. 88, 237901 (quant-ph/0110141).
44. Svozil, K. (1993). Randomness and Undecidability in Physics, World Scientific, Singapore.
45. Ellis, G. F. R., and Maartens, R. (2002). Class. Quant. Grav. 21, 223 (gr-qc/0211082).
46. Penrose, R. (1989). The Emperor's New Mind, Oxford University Press, Oxford.
47. 't Hooft, G. (2000). (hep-th/0003005).
48. Davies, P. C. W. (to appear). In Universe or Multiverse, B. Carr (Ed.), Cambridge University Press, Cambridge.
49. Ellis, G. F. R., Kirchner, U., and Stoeger, W. R. (2004). Mon. Not. Roy. Astron. Soc. 347, 921 (astro-ph/0305292).