2005/08/17 by S. Carlip, Steven Carlip
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum cosmology #Quantum dynamics #Quantum field theory in curved spacetime #Quantum geometry #Quantum gravity #Quantum mechanics #Quantum process #Quantum tunnelling #Semiclassical physics #Spacetime #Theoretical physics #Universe #Wave function #Wheeler–DeWitt equation #gr-qc
paper · pdf · doi:10.1088/0264-9381/22/20/n03
published as Class.Quant.Grav.22:4381-4384,2005 · 5 pages
arxiv created 2005/08/17 · openalex publication_date 2005/10/04 · arxiv updated 2010/04/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In the Hartle–Hawking 'no boundary' approach to quantum cosmology, a real tunnelling 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 wavefunction.