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arXiv · hep-th/9409152

Analysis of the Wheeler-DeWitt Equation beyond Planck Scale and Dimensional Reduction

T. Horiguchi·K. Maeda·M. Sakmaoto
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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.

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T. Horiguchi, K. Maeda, M. Sakmaoto. 1994-09-26. Analysis of the Wheeler-DeWitt Equation beyond Planck Scale and Dimensional Reduction. https://doi.org/10.1016/0370-2693(94)01501-3

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