Mathematics – Logic
Scientific paper
Jun 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986phrvd..33.3560v&link_type=abstract
Physical Review D (Particles and Fields), Volume 33, Issue 12, 15 June 1986, pp.3560-3569
Mathematics
Logic
266
Origin And Formation Of The Universe
Scientific paper
The problem of boundary conditions for the cosmological wave function ψ is analyzed using a simple model as an example. The model has two degrees of freedom: the scale factor and a homogeneous scalar field. A tunneling wave function is found for this model which describes an ensemble of universes tunneling from ``nothing'' to a de Sitter space, then evolving along the lines of an inflationary scenario and eventually collapsing to a singularity. A boundary condition in superspace is proposed which selects the tunneling solution for ψ. This boundary condition can be thought of as a quantum version of the Penrose condition in classical general relativity. The probability current, the concept of time, and the possibility of an experimental test of quantum cosmology are also discussed.
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