**Authors:** Michael John Sarnowski

What determines the mass of particles like the muon and tauon? No, reasonable, mainstream model, has been predictive the mass of particles. Michael John Sarnowski’s empirical equations for the proton and electron use an equation that shows that a resonant frequency created by a resonance between bremsstrahlung and Cherenkov like radiation and the ratio of orbital energy ratios.(1) In those two papers the masses of the electron and proton are due one of the solutions the resonances. In addition a small fraction of the proton mass is due to relativistic effects of most of the electron, a small fraction of the electron is due to relativistic effects of the second solution to the mass equation of the proton. In “Evidence for Granular Granulated Spacetime it is shown that charge is directly dependent on the mass ratio of the electron to neutron and the proton to the neutron(2). These empirical equations are accurate to the CODATA values for the mass ratios of the electron to the neutron and the proton to the neutron. Also this equations are also predictive for the value for elementary charge. The following paper shows that the mass ratios of the muon to the neutron and the tauon to the neutron can be calculated from both solutions to resonant equation of a Cherenkov like radiation and Bremsstrahlung type radiation. These mass ratios are also accurate to the CODATA values for these two particles and are likely predictive of more accurate measurements of these particles in the future. What is unique for the muon-neutron and tauon-neutron is that the mass ratios of the use the same resonance and use one of the solutions for the resonance of the proton to the neutron mass ratio. The consistent use of resonances, consistent use of mass ratios to the neutron, and consistent interdependence of the mass ratios of particles indicates that the developing model is consistent and hints at underlying structure to space-time. When a charged particle travels faster than light, it emits Cherenkov radiation. When a charged particle is accelerated it emits a braking radiation called Bremsstrahlung. Inside an electron are the many configurations of the constituent particles. 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 electron or other particles. It is proposed that the ratios of the masses of particles to the mass of the neutron is related to ratio of the Bremsstrahlung to the Bremsstrahlung where velocity is parallel to acceleration. This paper is an attempt of an explanation and derivation for the equation that very closely, within the known Codata 2014 mass ratio of both the muon and tauon to the neutron. An equation is developed below that uses the coupling dependence and Cherenkov radiation angles summing the radiation angles from 0 to pi/2 angles, assuming an ideal case of a non-dispersive medium (where phase and group velocity are the same(4), and integrating through what may appear to be multiple levels of dimensions. This is a continuation of Sarnowski’s Sphere Theory for the construction of the universe.

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[v1] 2016-12-08 02:14:53

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