  In this paper we generalize the black hole bound of arXiv:0706.2050 to de
Sitter spaces, and apply it to various vacua in the landscape, with a special
emphasis on slow-roll inflationary vacua. Non-trivial constraints on the
lifetime and the Hubble expansion rate emerge. For example, the general
tendency is, that for the fixed number and the increasing mass of the species,
vacua must become more curved and more unstable, either classically or quantum
mechanically. We also discuss the constraints on the lifetime of vacua in the
landscape, due to decay into the neighboring states.
