A Note on Real Tunneling Geometries

Details A Note on Real Tunneling Geometries A Note on Real Tunneling Geometries

2005-08-17

arxiv.org/abs/gr-qc/0508072v1

Class.Quant.Grav.22:4381-4384,2005

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages

Scientific paper

10.1088/0264-9381/22/20/N03

In the Hartle-Hawking ``no boundary'' approach to quantum cosmology, a real tunneling geometry is a configuration that represents a transition from a compact Riemannian spacetime to a Lorentzian universe. I complete an earlier proof that in three spacetime dimensions, such a transition is ``probable,'' in the sense that the required Riemannian geometry yields a genuine maximum of the semiclassical wave function.

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