A superweak solution of the Strong CP Problem

A non-axion solution to the Strong CP Problem is proposed that works even in the context of gravity-mediated supersymmetry breaking. Both $\epsilon'/\epsilon$ and indirect CP violation in the $B-\bar{B}$ are predicted to be unobservably small. $\mu \longrightarrow e \gamma$ is predicted to arise, typically, with branching ration $3 \times 10^{-12}$. A new source of dark matter is also predicted in the model.