## How to Use the Cosmological Schwinger Principle to Predict Energy Flux, Entropy, and an Effective Electric Field at the Start of Inflation in Terms of Inflaton Potentials.

**Authors:** Andrew Beckwith

The idea is to cut down on the number of independent variables to get as simple an emergent space
time structure of entropy and its generation as possible. Initial assumptions as to
T_{Planck} ~ 10^{19}. An effective electric field, based upon the Cosmological Schwinger
principle is derived, via dimensional analysis, then a heat flux, with subsequent entropy
production in a manner tied in with candidates as to inflaton potentials in a way the author has not
seen in the literature. The effective electric field is important because it enables a direct analogy
with the Schwinger result, 1951, of an E field leading to a numerical count of
pairs of e^{+}e^{-} echarges
nucleated in a space time volume V.t . Note that in most inflationary models, the usual
assumption is for a magnetic field, not electric field. Having an electric field permits a kink anti
kink construction in lieu of what Beckwith did in CDW (PhD dissertation) plus allows for explicit
emergent relic particle frequency range between one to 100 GigaHertz. The novel contribution is
the importance of a relic E field, instead of a B field, in inflationary relic particle formation and
vacuum nucleation for reasons explained in this manuscript.

**Comments:**
9 pages, 2 figures. Will be brought up as part of poster in DICE 2010, as part of Beckwith's DICE 2010
contribution to the conference proceedings.

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### Submission history

[v1] 6 Sep 2010

[v2] 8 Sep 2010

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