Dark Energy from teh Trans-Planckian regime

Abstract

As yet, there is no underlying fundamental theory for the transplanckian regime. There is a need to address the issue of how the observables in our present Universe are affected by processes that may have occurred at superplanckian energies (referred to as the transplanckian regime. Specifically, we focus on the impact the transplanckian regime has on the dark energy. We model the transplanckian regime by introducing a 1-parameter family of smooth non-linear dispersion relations which modify the frequencies at very short distances. A particular feature of the family of dispersion functions chosen is the production of ultralow frequencies at very high momenta $k$ (for $k>M_P$). We show that the range of modes with frequencies equal or less than the current Hubble rate $H_0$ which are still frozen today provides a strong candidate for the dark energy of the Universe.