A Note on Real Tunneling Geometries

Abstract

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.

5 pages

References in corpus (1)

• Semiclassical Universe from First Principles

Cited by in corpus (2)

• The Most Probable Size of the Universe
• Horizon Complementarity and Casimir Violations of the Null Energy Condition