A Note on the Swampland Distance Conjecture

We discuss the trans-Planckian censorship conjecture in the framework of black hole thermodynamics. In particular, we consider black holes in de Sitter space and we show that the trans-Planckian censorship conjecture is a consequence of the fact that apparent horizons are always inside cosmic event horizons whenever they exist. In addition, we show that the Bekenstein and the Hubble entropy bounds for the entropy in a region of spacetime lead similarly to the trans-Planckian censorship conjecture. Finally, we show that the conjecture gives a bound on the number of e-folds relating the latter to the field theory cutoff and the number of species.