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

Preprint

26 September 1994

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-th/9409152

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.

Keywords

INTEGRAL REPRESENTATION
WHEELER DEWITT EQUATION
EQUATION BEYOND PLANCK
DIMENSIONAL REDUCTION
PLANCK SCALE
GRAVITY

All Related Versions

Version 1, 1994-09-26, ArXiv
Published version: Physics Letters B, 344 (1-4), 105.

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