MEASURE ON A SUBSPACE OF FRW SOLUTIONS AND THE FLATNESS PROBLEM OF STANDARD COSMOLOGY

We use the metric on the space of gravity fields given by DeWitt to construct a unique kinematic measure on the space of FRW simple fluids and show that when the mass parameter is used as a coordinate this measure is singular at =1. This singularity, combined with the time evolution of, distorts distributions of values to be concentrated in the neighborhood of 1 at early times. It is a distorted distribution of values that sometimes misleads the casual observer to conclude that must be exactly equal to 1. © 1994 The American Physical Society.