1994/03/02 by Alexander Vilenkin · 3 citations
Mathematics · Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Boundary (topology) #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #Equivalence (formal languages) #Mathematical analysis #Mathematical physics #Mathematics #Minisuperspace #Noncommutative and Quantum Gravity Theories #Path integral formulation #Physics #Pure mathematics #Quantization (signal processing) #Quantum #Quantum cosmology #Quantum gravity #Quantum mechanics #Superspace #Supersymmetry #Theoretical physics #Topology (electrical circuits) #Wave function #Wheeler–DeWitt equation #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.50.2581
published as Phys.Rev.D50:2581-2594,1994 · 38 pages
arxiv created 1994/03/02 · openalex publication_date 1994/08/15 · arxiv updated 2010/04/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Different proposals for the wave function of the Universe are analyzed, with an emphasis on various forms of the tunneling proposal. The issues discussed include the equivalence of the Lorentzian path integral and outgoing-wave-proposals, the definitions of the outgoing waves and of superspace boundaries, topology change, and the corresponding modification of the Wheeler-DeWitt equation. Also discussed are the ``generic'' boundary condition and the third quantization approach.