# Stochastic eternal inflation is in the swampland

## TL;DR

This paper argues that stochastic eternal inflation cannot be consistently described within the framework of the refined swampland de Sitter conjecture, challenging its viability in cosmological models.

## Contribution

It provides a theoretical proof that stochastic eternal inflation is incompatible with the refined swampland de Sitter conjecture, highlighting limitations in current inflationary theories.

## Key findings

- No controlled description of stochastic eternal inflation exists under the conjecture
- The refined swampland de Sitter conjecture constrains inflationary models
- Stochastic eternal inflation is incompatible with certain quantum gravity criteria

## Abstract

We demonstrate that there is no controlled description of stochastic eternal inflation consistent with the refined swampland de Sitter conjecture.