Ghost inflation and de Sitter entropy

TL;DR

This paper examines ghost inflation within the ghost condensation model, demonstrating it respects the de Sitter entropy bound and proposing a cosmological Page time concept, linking black hole thermodynamics and early universe cosmology.

Contribution

It shows that ghost inflation satisfies the de Sitter entropy bound and introduces a new notion of cosmological Page time after inflation.

Findings

Ghost inflation respects the de Sitter entropy bound.

Couplings between ghost condensate and matter are Planck-suppressed.

A new concept of cosmological Page time is proposed.

Abstract

In the setup of ghost condensation model the generalized second law of black hole thermodynamics can be respected under a radiatively stable assumption that couplings between the field responsible for ghost condensate and matter fields such as those in the Standard Model are suppressed by the Planck scale. Since not only black holes but also cosmology are expected to play important roles towards our better understanding of gravity, we consider a cosmological setup to test the theory of ghost condensation. In particular we shall show that the de Sitter entropy bound proposed by Arkani-Hamed, et.al. is satisfied if ghost inflation happened in the early epoch of our universe and if there remains a tiny positive cosmological constant in the future infinity. We then propose a notion of cosmological Page time after inflation.