A Bipolar Model of Oscillations in a Chain System for Elementary Particle Masses

The philosophical idea of a bipolar nature (the Chinese “Yin and Yang”) is combined with the mathematical formalism of a fractal scaling model originally published by Muller in this journal. From this extension new rules for the calculation of proton and electron resonances via continued fractions are derived. The set of the 117 most accurately determined elementary particle masses (all with error < 0.13%) was expressed through this type of continued fractions. Only one outlier was found, in all other cases the numerical errors were smaller than the standard deviation. Speaking in terms of oscillation properties, the results suggest that the electron is an inverted or mirrored oscillation state of the proton and vice versa. A complete description of elementary particle masses by the model of oscillations in a chain system is only possible when considering both, proton and electron resonances.