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Nonsingularity in the no-boundary Universe

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Abstract

In the no-boundary Universe of Hartle and Hawking, the path integral for the quantum state of the Universe must be summed only over nonsingular histories. If the quantum corrections to the Hamilton-lacobi equation in the interpretation of the wave packet is taken into account, then all classical trajectories should be nonsingular. The quantum behaviour of the classical singularity in theS 1×S m model (m⩾2) is also clarified. It is argued that the Universe should evolve from the zero momentum state, instead from a zero volume state, to a 3-geometry state.

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Authors and Affiliations

  1. Center for Astrophysics, University of Science and Technology of China, 230026, Hefei, China

    Zhongchao Wu

  2. Department of Physics, Beijing Normal University, 100875, Beijing, China

    Zhongchao Wu

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  1. Zhongchao Wu
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Wu, Z. Nonsingularity in the no-boundary Universe. Sci. China Ser. A-Math. 40, 501–514 (1997). https://doi.org/10.1007/BF02896958

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  • DOI: https://doi.org/10.1007/BF02896958

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