A Lorentzian analysis of the cosmological constant problem

Physics – Nuclear Physics

Scientific paper

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Scientific paper

We argue that the essential features of the Baum-Coleman-Hawking mechanism for setting the cosmological constant to zero are (a) the existence of variable cosmological constant, and (b) the boundary value data for the wave function of the universe are supplied at small three-geometries. In particular topology change, baby universe, or other details of Planck-scale physics are not essential. We analyze the problem by solving the Wheeler-DeWitt equation for a large single universe with variable Λ using the (real time) WKB approximation. It is argued that the only sensible questions in this context are joint probabilities for the cosmological constant and the scale factor a (or other suitable observable) of an expanding universe. The most probable values of Λ in this model are found to be highly peaked around 9Mp2/16a2, in minor disagreement with previous authors, but consistent with the experimental bounds in our universe.

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