We examine the time discontinuity in rotating space–times for which the topology of time is S1. A kinematic restriction is enforced that requires the discontinuity to be an integral number of the periodicity of time. Quantized radii emerge for which the associated tangential velocities are less than the speed of light. Using the de Broglie relationship, we show that quantum theory may determine the periodicity of time. A rotating Kerr–Newman black hole and a rigidly rotating disk of dust are also considered; we find that the quantized radii do not lie in the regions that possess CTCs.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
G. Rizzi and M. L. Ruggiero, eds., Relativity in Rotating Frames. (Kluwer Academic, Dordrecht, 2004).
F. Lobo and P. Crawford, in R. Buccheri, M. Saniga, and W. M. Stuckey, ed., The Nature of Time: Geometry, Physics and Perception, NATO Science Series II. Mathematics, Physics and Chemistry, Vol. 95 (Kluwer Academic, Dordrecht, 2003) p. 289.
D. Dieks, in G. Rizzi and M. L. Ruggiero, eds., Relativity in Rotating Frames (Kluwer Academic, Dordrecht, 2004) p. 29.
T. Weber, in G. Rizzi and M. L. Ruggiero, eds., Relativity in Rotating Frames (Kluwer Academic, Dordrecht, 2004) p. 139.
Anandan J. (1981) . Phys. Rev. D 24: 338
Bergia S., Guidone M. (1998) . Found. Phys. Lett. 11: 549
M. B. Cranor, E. M. Heider, and R. H. Price, Am. J. Phys., 68, 1016 (2000).
G. Rizzi and A. Tartaglia, Found. Phys., 28, 1663 (1998).
R. Klauber, in G. Rizzi and M. L. Ruggiero, eds., Relativity in Rotating Frames, (Kluwer Academic, Dordrecht, 2004) p. 103.
F. Selleri, in G. Rizzi and M. L. Ruggiero, eds., Relativity in Rotating Frames, (Kluwer Academic, Dordrecht, 2004) p. 57.
P. J. Nahin, Time Machines: Time Travel in Physics, Metaphysics and Science Fiction (Springer-Verlag and AIP Press, New York, 1999).
W. J. van Stockum, Proc. Roy. Soc. Edinburgh, 57, 135 (1937).
F. Tipler, Phys. Rev. D 9, 2203 (1974).
K. Godel, Rev. Mod. Phys. 21, 447 (1949).
B. Carter, Phys. Rev. 174, 1559 (1968).
S. Deser, R. Jackiw, and G. ’t Hooft, Ann. Phys. (NY) 152, 220 (1984).
J. Gott, Phys. Rev. Lett. 66, 1126 (1991).
R. M. Wald, Phys. Rev. Lett. 26, 1653 (1971).
R. L. Mallett, Found. Phys. 33, 1307 (2003).
W. B. Bonnor, Class. Quantum Grav. 18, 1381 (2001).
W. B. Bonnor, Phys. Lett. A 284, 81 (2001).
W. B. Bonnor and J. P. Ward, Commun. Math. Phys. 34, 123 (1973).
J. Bicak and V. Pravda, Phys. Rev. 60, 044004 (1999).
W. B. Bonnor, Int. J. Mod. Phys. D 12, 1705 (2003).
S. Hawking, Phys. Rev. D 46, 603 (1992).
S.-W. Kim and K. S. Thorne, Phys. Rev. D 43, 3929 (1991).
L. Landau and E. Lifshitz, The Classical Theory of Fields (Pergamon Press, Oxford, 1971).
L. de Broglie, C. R. Acad. Sci. 177, 507 (1923).
D. R. Brill and J. M. Cohen, Phys. Rev. 143, 1011 (1966).
M. Lachièze-Rey and J. P. Luminet, Phys. Rep. 254, 135 (1995).
R. P. Kerr, Phys. Rev. Lett. 11, 238 (1963).
E. T. Newman, E. Couch, R. Chinnapared, A. Exton, A. Prakash, and R. Torrence, J. Math. Phys. 6, 918 (1965).
G. Neugebauer and R. Meinel, Astrophys. J. 414, L97 (1993).
G. Neugebauer and R. Meinel, Phys. Rev. Lett. 73, 2166 (1994).
G. Neugebauer and R. Meinel, Phys. Rev. Lett. 75, 3046 (1995).
D. Petroff and R. Meinel, Phys. Rev. D 63, 064012 (2001).
R. Penrose, Revistas del Nuovo Cimento 1, 252 (1969).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Bock, R.D. Radial Quantization in Rotating Space–Times. Found Phys 37, 977–988 (2007). https://doi.org/10.1007/s10701-007-9137-5
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10701-007-9137-5