  This paper describes work done in collaboration with Andy Cohen. In our
model, ordinary fermions are accompanied by an equal number `terafermions.'
These particles are linked to ordinary quarks and leptons by an unconventional
CP' operation, whose soft breaking in the Higgs mass sector results in their
acquiring large masses. The model leads to no detectable strong CP violating
effects, produces small Dirac masses for neutrinos, and offers a novel
alternative for dark matter as electromagnetically bound systems made of
terafermions.
