The Quantum Mechanics of the Universe
Classical general relativity predicts that the universe had a singular origin. I show that the singularity can be removed by quantum mechanics, just as in the case of the classical model of the atom. I propose that the quantum state of the universe is defined by a path integral over compact positive definite metrics. I show that in a simple model this boundary condition leads to a wave function which can be regarded as a superposition of wave functions peaked around classical oscillating solutions with a long inflationary period.
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- Hartle, J.B., and Hawking, S.W.: 1983, “Wave Function of the Universe”, Phys. Rev., D, to be published.Google Scholar
- Hawking, S.W.: 1979a, “The Path-integral approach to quantum gravity”, in S.W. Hawking, and W. Israel (eds), General Relativity: An Einstein Centenary Survey, Cambridge University Press, Cambridge, p. 746.Google Scholar
- Hawking, S.W.: 1979b, “Euclidean Quantum Gravity”, in S. Deser, and M. Levy (eds), Recent Developments in Gravitation, Plenum Press, New York, p. 145.Google Scholar
- Hawking, S.W.: 1983a, “Quantum Cosmology”, in Les Houches lectures, to be published.Google Scholar
- Hawking, S.W.: 1983b, “The Quantum State of the Universe”, University of Cambridge preprint.Google Scholar
- Moss, I.G., and Wright, W.A.: 1983, “The Wave Function of the Inflationary Universe”, Newcastle University preprint.Google Scholar