BVG Theorem and Entropy

The BVG Theorem, developed by Arvin Borde, Alexander Vilenkin and Allan Guth is an irrefutable proof of a beginning to all real and imaginable universes.  It states that the average rate of expansion of any possible universe be greater than zero.  A universe with an average expansion rate not greater than zero would at some point cease to exist (become nothing) and could not recreate itself except by a transcendent higher power.

An example of entropy is ice melting in a glass of water in a room which is warmer than ice. It is the rate of dissipation of the ice transformed into water and eventually into vapor.

The law of Entropy holds that disorder increases with time, which means that even if there could be an infinite number of universes expanding and contracting indefinitely, the one we have now should be in a maximum state of disorder (dead). Conversely, If you imagine a universe that gets bigger and bigger then it logically and mathematically must have a beginning (by following it backwards rewinding down to a beginning).