A resolution of the trans‐Planckian problem in the Rh = ct universe

Abstract

The recent measurement of a cutoffk(min)in the fluctuation power spectrumP(k)of the cosmic microwave background may vitiate the possibility that slow-roll inflation can simultaneously solve the horizon problem and account for the formation of structure via the growth of quantum fluctuations in the inflaton field. Instead, we show thatk(min)may be interpreted more successfully in theR(h) = ctcosmology as the first mode exiting from the Planck scale into the semiclassical universe shortly after the Big Bang. In so doing, we demonstrate that such a scenario completely avoids the well-known trans-Planckian problem plaguing standard inflationary cosmology.