The trans-Planckian censorship conjecture from the swampland distance conjecture

TL;DR

This paper derives the trans-Planckian censorship conjecture from the swampland distance conjecture, showing that quantum gravity principles prevent trans-Planckian fluctuations from crossing the Hubble horizon, with implications for de-Sitter space.

Contribution

It provides a novel derivation of the trans-Planckian censorship conjecture based on the swampland distance conjecture and species bound, linking quantum gravity principles to cosmological constraints.

Findings

Trans-Planckian fluctuations cannot cross the Hubble horizon.

Logarithmic corrections to the de-Sitter conjecture naturally emerge.

The derivation connects quantum gravity principles with cosmological conjectures.

Abstract

Starting from the swampland distance conjecture, and using the species bound for a large number of weakly-coupled particles, we give a derivation of the recently proposed trans-Planckian censorship conjecture. Our argument demonstrates how a quantum gravity principle requires that trans-Planckian quantum fluctuations should never cross the Hubble horizon. We also comment on how logarithmic corrections to the de-Sitter conjecture arise naturally from such an approach when one relaxes the requirement of traversing parametrically large distances on field space.