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The entropic quasi-de Sitter instability time from the distance conjecture. (English) Zbl 1473.83014

Summary: 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 \(m_{\mathrm{Pl}}^2 \nabla^2 V/V\).

MSC:

83C15 Exact solutions to problems in general relativity and gravitational theory
76E20 Stability and instability of geophysical and astrophysical flows
28D20 Entropy and other invariants
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