Abstract
We analyze a simple quantum cosmological model with just a Λ term present. Different results for the expected value of Λ are obtained depending on the boundary conditions applied. In the Euclidean regime the Hartle-Hawking boundary condition gives the factor exp (1/Λ) but, in agreement with Rubakov et al.,10 is badly behaved for negative Λ. Tunneling boundary conditions suggest an initially large value for Λ. If only Lorentzian regions are considered, all boundary conditions suggest an initially large value of A for spatial curvature k=1. This differs from the previously obtained results of Strominger11 for such models, who implicitly assumed that the universe has occurred in its present (large size) form by a quantum event. Whereas, quantum behavior should be restricted to epochs when the universe was ~ Planck size.
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