Universe before planck time - A quantum gravity model

Abstract

A model for quantum gravity can be constructed by treating the conformal degree of freedom spacetime as a quantum variable. An isotropic, homogeneous cosmological solution in this quantum gravity model is presented. The spacetime is nonsingular for all the three possible values of three-space curvature, and agrees with the classical solution for time scales larger than the Plank time scale. A possibility of quantum fluctuations creating the matter in the universe is suggested.