Authors: Andrew Beckwith
We ask the question if an entropy S = E/T with a usual value ascribed of initial entropy S ~ 105 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 T ~ 1019 GeV. We obtain the values consistent with up to 1038 gravitons contributing to an energy value of E ~ 1024 GeV if we assume a relic energy contribution based upon each graviton initially exhibiting a frequency spike of 1010 Hz. The value of E ~ 1024 GeV is picked from looking at the aftermath of what happens if there exists a quantum bounce with a peak density value of ρmaximum ~ 2.07 ρPlanck as has been considered recently by P. Malkiewicz and W. Piechocki  in the LQG bounce regime radii of the order of magnitude of l ~ 1035 meters. In this paper estimates specifically avoids using S = (E - μN)/T are done, by setting vanishing chemical potential μ = 0 for ultra high temperatures. Finally we compare briefly the obtained results with the ones recently investigated by G. 't Hooft  and L.A. Glinka [21, 22].
Comments: 12 pages, 1 figure. Part of what will be brought up in DICE 2010, as of September 13-17, 2010, in Italy . The other part of the DICE presentation will be finished by the end of next week
[v1] 18 Aug 2010
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