A Note on the Swampland Distance Conjecture

TL;DR

This paper explores the Swampland Distance Conjecture through black hole thermodynamics in de Sitter space, linking it to horizon properties and entropy bounds, suggesting it as a consequence of cosmic horizon dynamics.

Contribution

It demonstrates that the Swampland Distance Conjecture naturally arises from black hole thermodynamics and entropy bounds in de Sitter space, providing a new perspective on its origin.

Findings

Swampland Distance Conjecture follows from black hole horizon relations.

Apparent horizons are always inside cosmic event horizons during fast-roll inflation.

Entropy bounds imply the same conjecture, connecting thermodynamics and quantum gravity.

Abstract

We discuss the Swampland Distance Conjecture in the framework of black hole thermodynamics. In particular, we consider black holes in de Sitter space and we show that the Swampland Distance Conjecture is a consequence of the fact that apparent horizons are always inside cosmic event horizons whenever they exist in the case of fast-roll inflation. In addition, we show that the Bekenstein and the Hubble entropy bounds for the entropy in a region of spacetime lead similarly to the same conjecture.