## Could Gravitons from Prior Universe Survive Quantum Bounce to Reappear in Present Universe

**Authors:** Andrew Beckwith

We ask the question if an entropy S = E/T with a usual value
ascribed of initial entropy S ~ 10^{5} 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 ~ 10^{19} GeV. We obtain the
values consistent with up to 1038 gravitons contributing to an energy
value of E ~ 10^{24} GeV if we assume a relic energy contribution based
upon each graviton initially exhibiting a frequency spike of 1010 Hz.
The value of E ~ 10^{24} GeV is picked from looking at the aftermath of
what happens if there exists a quantum bounce with a peak density
value of ρ_{maximum} ~ 2.07 ρ_{Planck} as has been considered recently by
P. Malkiewicz and W. Piechocki [15] in the LQG bounce regime radii
of the order of magnitude of l ~ 10^{35} 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 [20] 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

**Download:** **PDF**

### Submission history

[v1] 18 Aug 2010

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