On the Growth of the Number of Hyperbolic Gravitational Instantons with respect to Volume
John G. Ratcliffe, Steven T. Tschantz
Abstract
In this paper, we show that the number of hyperbolic gravitational instantons grows superexponentially with respect to volume. As an application, we show that the Hartle-Hawking wave function for the universe is infinitely peaked at a certain closed hyperbolic 3-manifold.
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