Analysis of the Wheeler-DeWitt Equation beyond Planck Scale and Dimensional Reduction
arXiv:hep-th/9409152 · doi:10.1016/0370-2693(94)01501-3
Abstract
We solve the Wheeler-DeWitt equation for {\it four}-dimensional Einstein gravity as an expansion in powers of the Planck mass by means of a heat kernel regularization. Our results suggest that in the universe with a very small radius or with a very large curvature beyond a Planck scale expectation values of operators are reduced to calculations in a path integral representation of {\it three}-dimensional Einstein gravity.
9 pages, latex file, KOBE-TH-94-04
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