Tachyonic chaos and causality in the open universe

Chaos, Solitons and Fractals

Volumn 7, Issue 5, 1996, Pages 753-768

  Tomaschitz, Roman ^a  

^a HIROSHIMA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000879751     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/0960-0779(95)00106-9     Document Type: Article

References (52)

1. L. Infeld and A. Schild, Phys. Rev. 68, 250 (1945).
2. E. Schrödinger, Expanding Universes. Cambridge University Press (1956).
3. O. Heckmann and E. Schücking, Handbuch d. Physik 53, 489 (1959).
4. N. Hurt, Geometric Quantization in Action. Reidel, Dordrecht (1983).
5. N. Birrell and P. C. Davies, Quantum Fields in Curved Space. Cambridge University Press (1982).
6. M. Gutzwiller, Chaos in Classical and Quantum Mechanics. Springer, New York (1990).
7. N. Balazs and A. Voros, Phys. Rep. 143, 109 (1986).
8. V. I. Arnold, Mathematical Methods of Classical Mechanics. Springer, New York (1978).
9. C. Misner, in Magic, without Magic, edited by R. Klauder. Freeman, San Francisco (1972).
10. C. Misner, in Deterministic Chaos in General Relativity, edited by D. Hobill. Plenum, New York (1994).
11. D. Chitre, Phys. Rev. D6, 3390 (1972).
12. J. D. Barrow, Phys. Rep. 85(1) (1982).
13. C. Lockhart, B. Misra and I. Prigogine, Phys. Rev. D25, 921 (1982).
14. D. Hobill, A. Burd and A. Coley (eds), Deterministic Chaos in General Relativity. Plenum, New York (1994).
15. G. Contopoulos, Proc. Roy. Soc. A435, 551 (1991); ibid. A431, 183 (1990).
16. G. Contopoulos, Proc. Roy. Soc. A435, 551 (1991); ibid. A431, 183 (1990).
17. Y. Sota, S. Suzuki, and K. Maeda, in Dynamical Systems and Chaos. Tokyo (1994), Y. Aizawa et al., (eds). World Scientific, Singapore (1995).
18. M. S. El Naschie, Chaos, Solitons & Fractals 2, 211 (1992), ibid. 4, 2121 (1994), ibid. 5, 1503 (1995), ibid. 5, 1551 (1995).
19. M. S. El Naschie, Chaos, Solitons & Fractals 2, 211 (1992), ibid. 4, 2121 (1994), ibid. 5, 1503 (1995), ibid. 5, 1551 (1995).
20. M. S. El Naschie, Chaos, Solitons & Fractals 2, 211 (1992), ibid. 4, 2121 (1994), ibid. 5, 1503 (1995), ibid. 5, 1551 (1995).
21. M. S. El Naschie, Chaos, Solitons & Fractals 2, 211 (1992), ibid. 4, 2121 (1994), ibid. 5, 1503 (1995), ibid. 5, 1551 (1995).
22. R. Tomaschitz, J. Math. Phys. 32, 2571 (1991).
23. R. Tomaschitz, Complex Systems 6, 137 (1992).
24. R. Tomaschitz, in Chaotic Dynamics: Theory and Practice, edited T. Bountis. Plenum, New York (1992).
25. R. Tomaschitz, in Quantum Chaos-Quantum Measurement, edited by P. Cvitanovic et al. Kluwer, Dordrecht (1992).
26. R. Tomaschitz, J. Math. Phys. 34, 3133 (1993).
27. R. Tomaschitz, in Deterministic Chaos in General Relativity, edited by D. Hobill. Plenum, New York (1994).
28. W. Thurston, Bull. Am. Math. Soc. (New Series) 6, 357 (1982).
29. S. Krushkal, B. Apanasov and N. Grusevskii, Kleinian Groups and Uniformization in Examples and Problems. Am. Math. Soc., Providence, R.I. (1986).
30. B. Maskit, Kleinian Groups. Springer, New York (1986).
31. G. F. Ellis and R. Tavakol, in Deterministic Chaos in General Relativity, edited by D. Hobill. Plenum, New York (1994).
32. J. Friedman, K. Schleich and D. Witt, Phys. Rev. Lett. 71, 1486 (1993).
33. R. Tomaschitz, Intern. J. Theoret. Phys. 33, 353 (1994).
34. R. Tomaschitz, J. Math. Phys. 35, 1573 (1994).
35. R. Tomaschitz, in Dynamical Systems and Chaos. Tokyo (1994), edited by Y. Aizawa et al. World Scientific, Singapore (1995).
36. O. Bilaniuk, V. Deshpande and E. Sundarshan, Am. J. Phys. 30, 718 (1962).
37. G. Feinberg, Phys. Rev. 159, 1089 (1967).
38. R. Tomaschitz, Physica D34, 42 (1989).
39. R. Tomaschitz, Intern. J. Theoret. Phys. 31, 187 (1992).
40. R. Bowen, J. Diff. Eq. 18, 333 (1975).
41. D. B. Epstein and A. Marden, in Analytical and Geometrical Aspects of Hyperbolic Space, edited by D. B. Epstein. Cambridge University Press (1987).
42. E. Recami and R. Mignani, Riv. Nuovo Cimento 4, 209 (1974).
43. R. Newton, Phys. Rev. 162, 1274 (1967).
44. M. Arons and E. Sundarshan, Phys. Rev. 173, 1622 (1968).
45. M. MacCallum, in Deterministic Chaos in General Relativity, edited by D. Hobill. Plenum, New York (1994).
46. A. F. Beardon, The Geometry of Discrete Groups. Springer, New York (1982).
47. L. Bers, Ann. Math. 91, 570 (1970).
48. R. Sachs, and A. Wolfe, Astrophys. J. 147, 73 (1967).
49. R. Tomaschitz, in Proceedings of the 7th Marcel Grossman Meeting, Stanford 1994, edited by R. Ruffini and E. Keiser. World Scientific, Singapore (1995).
50. G. Smoot et al., Astrophys. J. 396. L1 (1992).
51. R. Tomaschitz, J. Math. Phys. 34, 1022 (1993).
52. J. A. Wheeler, in The Physicist's Conception of Nature, edited by J. Mehra. D. Reidel, Dordrecht (1973).