The theory involves a fermion X, and its antiparticle X, both of which may couple into quarks in the visible sector, and into hidden particles in a hidden sector, a sector which is not part of the Standard Model. The hidden states have masses near a GeV and very weak couplings to particles in the Standard Model. X and X respectively decay into either baryonic matter or hidden baryonic matter, and into either antibaryonic matter or hidden antibaryonic matter, violating CP and quark baryon number.