Ghost inflation and de Sitter entropy
  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.
