Abstract
We show that the occurrence of quantum gravitational collapse and, more generally, the validity of Wheeler’s “rule of unanimity” are inextricably linked to the classical choice of time. The crucial distinction is between “fast” and “slow” times, that is, between times which give rise to complete or incomplete classical evolution respectively. We conjecture that unitary slow-time quantum dynamics is always non-singular, while unitary fast-time quantum dynamics inevitably leads to collapse. These findings are illustrated by an analysis of the dust-filled Friedmann-Lemaître-Robertson-Walker universes.
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Dedicated to the memory of a colleague and friend, Arsène Boury (J.D.)
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References
Scriven, L. (1954), Brit. J. Phil. Sci., 5, p. 181.
North, J.D. (1965), The Measure of the Universe (Clarendon Press, Oxford).
Whitrow, G.J. (1978), Brit. J. Phil. Soc., 29, p. 39; Popper, K. (1978), Ibid., 29, p. 47; Bell, J. (1979), Ibid., 30, p. 161; Craig, W.L. (1979), Ibid., 30, p. 165; Weingard, R. (1979), Ibid., 30, p. 170.
Misner, C.W. (1969), Phys. Rev., 186, p. 1328.
Wheeler, J.A. (1977), Gen. Rel. Grav., 8, p. 713.
Barrow, J.D. and Matzner, R.A. (1980), Phys. Rev. D21, p. 336
Birrell, N.D. and Davies, P.C.W. (1982), Quantum Fields in Curved Space, Sec. 7.4 (Cambridge U. Press, Cambridge).
MacCallum, M.A.H. (1975), in Quantum Gravity, eds. Isham, C. J., Penrose, R., and Sciama, D. (Clarendon Press, Oxford).
Gotay, M.J. and Demaret, J. (1983), Phys. Rev., D28, p. 2402.
DeWitt, B.S. (1967), Phys. Rev., 160, p. 1113.
Lund, F. (1973), Phys. Rev., D8, p. 3253.
Lapchinskii, V.G. and Rubakov, V.A. (1977), Teor. i. Mat. Fiz., p. 364.
Demaret, J. (1979), Gen. Rel. Grav., 11, p. 453; (1980), Phys. Lett., 95B, p. 413; (1980), Bull. Soc. Math. Belgique, 32, p. 99.
Misner, C.W. (1969), Phys. Rev., 186, p. 1319
Ryan, M. (1972), Hamiltonian Cosmology, Lecture Notes in Physics No. 13 (Springer, New York).
Gotay, M.J. and Isenberg, J.A. (1980), Phys. Rev. D22, p. 235; (1980), In Lecture Notes in Physics No. 135, p. 418 (Springer, New York).
Brill, D.R. (1975), In Quantum Theory and the Structures of Space and Time, eds. Castell, L., Drieschner, M., and von Weizsächer, C.F. (Carl Hansen Verlag, München).
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© 1984 D. Reidel Publishing Company, Dordrecht, Holland
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Demaret, J., Gotay, M.J. (1984). Time and Singularity. In: Berger, A. (eds) The Big Bang and Georges Lemaître. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6487-7_11
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DOI: https://doi.org/10.1007/978-94-009-6487-7_11
Publisher Name: Springer, Dordrecht
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