  We argue that CP violation has rather dramatic impact on the "gravity as the
weakest force" conjecture. Namely we find that new ultraviolet scale must be
$\Lambda \lesssim \theta g^3 M_P$, where $\theta$ is an effective parameter
describing CP violation and $g$ is the gauge coupling constant. The bound
implies that CP-conserving limit is discontinuous, and possibly indicates that
the class of effective theories with strict CP conservation is inconsistent
with a fundamental theory incorporating quantum gravity. At the same time, the
mass hierarchy problem can be explained due to the smallness of the CP
violation, $\theta \sim 10^{-15}$ or so.
