Swampland Conjectures and Cosmological Expansion

Abstract: Swampland conjectures (SCs) of string theory require that a constant cosmological constant $\Lambda$ be replaced by a time-dependent scalar-field quintessence with constrained parameters. The constraints limit the duration of the present expansion era because, although the SCs may be fulfilled at the present time, they will be violated at a finite time in the future allowing only an order-one number of e-foldings. In contrast, cyclic cosmology requires $\sim94$ e-foldings of the present universe before turnaround from expansion to contraction. This presents a dilemma to the original SCs. One possibility is that one of the SCs, the range conjecture, be significantly weakened. A second possibility, difficult to believe, is that cyclic cosmology vastly overestimates the number of e-foldings. A third possibility, which is the least disfavoured, is that string theory is not the correct theory of quantum gravity.