A simple quantum cosmology

A simple and surprisingly realistic model of the origin of the universe can be developed using the Friedmann equation from general relativity elementa ry quantum mechanics, and the experimental values of h, c, G and the proton mass mp. The model assumes there are N space dimensions (with N > 6), and the potential constraining the radius r of the invisible N - 3 compact dime nsions varies as r(4). In this model, the universe has zero total energy an d is created from nothing. There is no initial singularity. If space-time i s eleven dimensional, as required by M theory, the scalar field correspondi ng to the size of the compact dimensions inflates the universe by about 26 orders of magnitude (60 e-folds). If H-0 = 65 km sec(-1) Mpc(-1), the energ y density of the scalar field after inflation results in Omega (Lambda) = 0 .68, in agreement with recent COBE and Type SNe Ia supernova data.