Abstract
We solve a renormalized Wheeler-DeWitt equation for Einstein gravity in $D+1$ dimensions with $D=\mathrm{\text{odd}}$ in the strong coupling limit, which is expected to be suited to probe quantum geometry at short distances, in order to test Ho\ifmmode \check{r}\else \v{r}\fi{}ava's idea that quantum gravity at short distances will be described by a nonrelativistic system with dynamical critical exponent $z>1$. Our results support the idea and show that the Wheeler-DeWitt equation possesses a solution associated with a $z=2$ Lifshitz point but no other $z>2$ solutions to leading order of the strong coupling expansion.
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