Abstract
CLASSICAL relativistic singularities remain one of the most puzzling problems of contemporary physics. Although no consensus of opinion has been attained on their status, a great deal of work has been devoted to the search for physical mechanisms capable of eliminating the cosmological singularities, whose existence follows from the theorems of Hawking and Penrose1,2. The alternative view that the initial singularity of big-bang models is essential for the coming into being of the Universe, has also been advocated3,4. Some suggestions of cosmological singularity avoidance have recently come to light, in the ‘classical’ quantum regime (from 10−43–10−23s) (refs 5–8) or even without resorting to quantum effects9. The quantum gravitational period (t < 10−43 s) remains potentially very interesting for searching for singularity avoidance mechanisms. An interesting approach is that of quantum cosmology, based on the hamiltonian formulation of general relativity (Dirac's10 or Arnowitt, Deser and Misner's11 (ADM) method). This approach was initiated by De Witt12 and then followed by Misner13 and many others (see refs 14,15) and is used here to derive a non-singular quantum cosmological model.
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References
Hawking, S. W. & Penrose, R. Proc. R. Soc. A314, 529–548 (1969).
Hawking, S. W. & Ellis, G. F. R. The Large Scale Structure of Space-time (Cambridge University Press, 1973).
Misner, C. W. Phys. Rev. 186, 1328–1333 (1969).
Patton, C. M. & Wheeler, J. A. in Quantum Gravity: An Oxford Symposium (eds Isham, C. J., Penrose, R. & Sciama, D. W.) 538–605 (Clarendon, Oxford, 1975).
Parker, L. & Fulling, J. A. Phys. Rev. D 7, 2357–2374 (1973).
Davies, P. C. W. Phys. Lett. 68 B, 402–404 (1977).
Jacobs, K. C., MPI-PAE/Astro 124, Max-Planck- Institut für Physik und Astro-physik, München (1977).
Brout, R., Englert, F. & Gunzig, E. The Creation of the Universe as a Quantum Phenomenom (Preprint, Université libre de Bruxelles, 1977).
Bekenstein, J. D. Phys. Rev. D 11, 2072–2075 (1975).
Dirac, P. A. M. Lectures on Quantum Mechanics, Belfer Graduate School of Science Monograph Series No. 2 (Yeshiva University, New York, 1964).
Arnowitt, R., Deser, S. & Misner, C. W. Gravitation: An Introduction to Current Research, (ed. Witten, L.) ch. 7, 227–265 (Wiley, New York, 1962).
De Witt, B. S. Phys. Rev. 160, 1113–1148 (1967).
Misner, C. W. Phys. Rev. 186, 1319–1327 (1969).
Ryan, M. Hamiltonian Cosmology, Lecture Notes in Physics, 13, (eds Ehlers, J., Hepp, K. & Weidenmüller, H. A.) (Springer, Berlin, 1972).
Maccallum, M. A. H. in Quantum Gravity: An Oxford Symposium 174–218 (eds Isham, C. J., Penrose, R. & Sciama, D. W.) (Clarendon, Oxford, 1975).
Schutz, B. F. Jr Phys. Rev. D 2, 2762–2773 (1970).
Schutz, B. F. Jr Phys. Rev. D 4, 3559–3566 (1971).
Seliger, R. L. & Whitham, G. B. Proc. R. Soc. A305, 1–25 (1968).
Lund, F. Phys. Rev. D 8, 3253–3259 (1973).
Kuchar̂, K. in Relativity, Astrophysics and Cosmology (ed. Israël, W.) 237–288 (Reidel, Dordrecht, 1973).
Wheeler, J. A. in Analytical Methods in Mathematical Physics (eds Gilbert, R. P. & Newton, R. G.) 335–378 (Gordon and Breach, New York, 1970).
Misner, C. W. in Magic without Magic (ed. Klauder, J. R.) 441–473 (Freeman, San Francisco, 1972).
Blyth, W. F. & Isham, C. J. Phys. Rev. D 11, 768–778 (1975).
Narlikar, J. V. Nature 269, 129–130 (1977); Mon. Not. R. astr. Soc. 183, 169–168 (1978).
Barrow, J. D. & Carr, B. J. Mon. Not. R. astr. Soc. 182, 537–558 (1978).
Hagedorn, R. in Cargèse Lectures in Physics, Vol. 5 (ed. Schatzman, E.) (Gordon and Breach, New York, 1973).
Barrow, J. D. Nature 267, 117–120 (1977).
Carr, B. J. & Rees, M. J. Astr. Astrophys. 61, 705–709 (1977).
Moncrief, V. Phys. Rev. D 16, 1702–1705 (1977).
Zel'dovich, Y. B. Sov. Phys. JETP 14, 1143–1147 (1962).
Collins, J. & Perry, M. J. Phys. Rev. Lett. 34, 1353–1356 (1975).
Wheeler, J. A. Gen. Relativ. Gravitat. 8, 713–715 (1977).
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DEMARET, J. A non-singular quantum Universe. Nature 277, 199–201 (1979). https://doi.org/10.1038/277199b0
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DOI: https://doi.org/10.1038/277199b0
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