Finiteness and the Swampland

TL;DR

This paper discusses various Swampland criteria in quantum gravity, linking them to the finiteness of black hole entropy and quantum gravity amplitudes, suggesting a fundamental underlying principle.

Contribution

It proposes that Swampland criteria may fundamentally stem from the finiteness of quantum gravity amplitudes, unifying several conjectures under this principle.

Findings

Evidence supporting Swampland criteria from black hole entropy bounds

Proposed connection between Swampland statements and finiteness of quantum gravity amplitudes

Insight into the fundamental nature of quantum gravity constraints

Abstract

We view and provide further evidence for a number of Swampland criteria, including the Weak Gravity Conjecture, Distance Conjecture and bounds on the finiteness of the quantum gravity vacua from the prism of the finiteness of black hole entropy. Furthermore we propose that at least all of these Swampland statements may be more fundamentally a consequence of the finiteness of quantum gravity amplitudes.