Non-singular cosmology from non-supersymmetric AdS instability conjecture

Abstract

We show that the non-supersymmetric AdS instability conjecture can point to how quantum gravity removes the initial Big Bang singularity, leading to a potential resolution for the past-incomplete inflationary universe. From the constraints on the dynamics of the universe realized as the nucleation of a thin-wall bubble mediating the decay of the non-supersymmetric AdS vacuum, we find the critical temperature $T_c$ and the critical scale factor $a_c$ for which the universe exists. These critical quantities are all finite and determined in terms of the parameters specifying the stringy 10D AdS vacuum solutions. Additionally, we derive the prediction of quantum gravity for $T_c$ and $a_c$ relying on the inflationary observations.