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
Unique-IP document downloads: 122 times
Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.