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

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/(root epsilon H-H)log(m(pl)/H) as the lifetime of quasi-dS spacetime. It depends on the slow-roll parameter, and contains the logarithmic factor log(m(pl)/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 m(Pl)(2)del V-2/V. (C) 2020 The Author(s). Published by Elsevier B.V.