The entropic quasi-de Sitter instability time from the distance conjecture

Abstract

From the entropy argument for the dS swampland conjecture which connects the Gibbons-Hawking entropy bound with the distance conjecture, we find the entropic quasi-dS instability time given by 1/(ϵHH)log⁡(mPl/H) as the lifetime of quasi-dS spacetime. It depends on the slow-roll parameter, and contains the logarithmic factor log⁡(mPl/H) which can be found in the scrambling (or decoherence) time as well. Such a logarithmic factor enhances the geodesic distance of the modulus from the mere Planck scale, and also possibly relaxes the bound on mPl2∇2V/V.