The proton-Boron11 (pB11) fusion reaction is enormously attractive. The reaction releases no radioactivity-producing neutrons. Both the proton and Boron11 reactants are readily available naturally and cheaply. But achieving economical pB11 fusion appears impossible. Its low fusion cross section is reachable only at very high temperatures, and if reached, then x-ray emission by electrons is so large as to preclude economical fusion power. Our approach exploits the unique features and requirements of pB11, including the highly disparate masses of the reactants, so as to hold the plasma far from thermal equilibrium, in a 2-plasma approach, with a fusion cell and a heat exchange cell.