Protons to Neutron Mass Ratio and Coupling Dependence on Cherenkov Radiation Angles

When a particle travels faster than light it emits Cherenkov radiation. When a charged particle is accelerated it emits radiation called bremsstrahlung radiation. Inside a proton are the many configurations of the nucleons. It is proposed here, and likely proposed by others that there may be some equivalent process that there is a constant acceleration of charged particles or superluminal movement of charged particles that causes the mass of the proton or other particles. In the case of the mass ratio of the proton to the neutron, the possible equation was found first. This paper is an attempt of an explanation and derivation for the equation that very closely, within the known Codata 2014 mass ratio of the proton to the neutron, gives the mass ratio of the proton to the neutron. An equation is developed below that uses the coupling dependence and Cherenkov radiation angles summing the radiation angles from –pi/2 to pi/2 angles and integrating through what may appear to be multiple levels of dimensions.