We ask the question if a formula for entropy, as given by
with a usual value ascribed of initial entropy
of the onset of inflation can allow an order of magnitude resolution of the question of if there could be a survival of a graviton from a prior to the present universe, using typical Planckian peak temperature values of
. We obtain values consistent with up to 10
38 gravitons contributing to an energy value of
if we assume a relic energy contribution based upon each graviton initially exhibiting a frequency spike of 10
10 Hz. The value of
is picked from looking at the aftermath of what happens if there exists a quantum bounce with a peak density value of
[1] in a regime of LQG bounce regime radii of the order of magnitude of
meters. The author, in making estimates specifically avoids using
, by setting the chemical potential for ultra high temperatures for reasons which will be brought up in the conclusion.