Authors: Andrew Beckwith
We look at early universe space-time which is characterized by a transition from Pre Planckian to Planckian space-time. In doing so, we look at, using Crowell’s book, a Berry phase, which in our case is proportional to the area integration of 1 over the square of variation of change in energy. Our variation of the change in energy in this case is due to the Pre Planckian space-time HUP (Heisenberg uncertainty principle). The change in the energy, times change in time, is in this case, is in minimization of the HUP, equal to Planck’s constant divided by the square of the minimum scale factor, times 1 over the initial inflaton value. Our result as derived, gives substance to the supposition that a change in pre Planckian space-time is, indeed a phase transition, in line with work the author has done earlier. And does it in line with the inflaton, as given by Padmanabhan.
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[v1] 2016-06-16 23:47:53
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