Baby universes and the dimensionality of spacetime

Physics

Scientific paper

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Scientific paper

Recently Coleman argued that wormholes have the effect of making the cosmological constant vanish. In this paper we discuss wormholes in multidimensional spacetime in order to investigate whether they can lead to the derivation of the dimensionality of spacetime. A criterion for spontaneous compactification is considered according to which a smaller euclidean action corresponds to the more probable vacuum solution. In the model considered, we find that the probability for the universe to undergo a spontaneous compactification down to a four-dimensional spacetime is greater than to remain in the original homogeneous multidimensional state.
Permanent address: Steklov Mathematical Institute, Vavilov St. 42, GSP-1, 117 966 Moscow, USSR.

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