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 $1/(\sqrt{{\epsilon }_H}H)\log (m_{\mathrm{Pl}}/H)$ as the lifetime of quasi-dS spacetime. It depends on the slow-roll parameter, and contains the logarithmic factor $\log (m_{\mathrm{Pl}}/H)$ 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 $m_{\mathrm{Pl}}^2{\nabla }^{2}V/V$.

5 pages, 2 figures, version published in Phys. Lett. B

References in corpus (3)

• On the Geometry of the String Landscape and the Swampland
• The Swampland: Introduction and Review
• Path Integral for Inflationary Perturbations

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