Can thermal input from a prior universe account for relic graviton   production?
  Primer for how intense graviton production can be obtained in the first 10 to the minus 43 seconds of cosmological inflation. In addition several cosmological models which appear to have conclusions which are orthogonal, i.e. LQG and its quantum bounce and Brane world models which appear to rule out quantum bounce behavior, are shown to in part blend into each other as a direct solution to how to reconcile S. Carroll's prediction of low temperature, low entropy as a starting point of cosmological inflation with the ten to the 12 power degree kelvin behavior seen at the onset of Guth style chaotic inflation. 
A.W.Beckwith