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- Inflation, Variable Speed of Light and BICEP2

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14060044

A variable speed of light (VSL) cosmology is developed with a spontaneous breaking of Lorentz invariance in the early universe. A non-minimal electromagnetic coupling to curvature and the resulting quantum electrodynamic vacuum polarization dispersive medium can produce c >> c_{0} in the early universe, where c_{0} is the measured speed of light today. Higher derivative curvature contributions to the effective gravitational action and quantum gravity vacuum polarization can produce a dispersive medium and a large increase in the speed of gravitational waves c_{g } >> c_{g0} in the early universe, where c_{g0} is the speed of gravitational waves today. The initial value problems of cosmology are solved: the horizon and flatness problems. The model predicts primordial scalar and tensor fluctuation spectral indices n_{s}=0.96 and n_{t}=- 0.04, respectively. The BICEP2 observation of r=0.2 yields r/n_{t}=-5 which is close to the single-field inflationary consistency condition r/n_{t}=-8.

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