Nonsingularity in the no-boundary universe. (English) Zbl 0880.53082
Summary: 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-Jacobi 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 the \(S^1 \times S^m\) model \((m\geq 2)\) 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.
MSC:
| 53Z05 | Applications of differential geometry to physics |
| 83F05 | Relativistic cosmology |
| 83C47 | Methods of quantum field theory in general relativity and gravitational theory |
| 83C75 | Space-time singularities, cosmic censorship, etc. |
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