Exponentially Large Probabilities in Quantum Gravity

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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9 pages in LaTeX, 4 figures in PostScript, the brief version of this paper is to appear in Proceedings of the XXIV ITEP Winter

Scientific paper

The problem of topology change transitions in quantum gravity is investigated from the Wheeler-de Witt wave function point of view. It is argued that for all theories allowing wormhole effects the wave function of the universe is exponentially large. If the wormhole action is positive, one can try to overcome this difficulty by redefinition of the inner product, while for the case of negative wormhole action the more serious problems arise.

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