%0 Journal Article
%T Koide Lepton Relation Explained by Lepton Radius (Compton Wavelength)/4
%A T. R. Mongan
%J Journal of Modern Physics
%P 1954-1959
%@ 2153-120X
%D 2021
%I Scientific Research Publishing
%R 10.4236/jmp.2021.1214111
%X The intriguing Koide relation between lepton masses, <img src=\"Edit_40543526-c5d7-4ba4-9bb2-4cca5659c61a.png\" alt=\"\" />, involving electron mass<em> m</em><sub><em>e</em></sub>, muon mass <span style=\"white-space:nowrap;\"><em>m</em><sub><em><span style=\"white-space:nowrap;\"><span style=\"white-space:nowrap;\">&amp;mu;</span></span></em></sub></span>, and tau mass <em>m</em><sub><em>t</em></sub>, was first presented in 1982. The reason why <span style=\"white-space:nowrap;\"><em>Q</em><sub>1</sub> <span style=\"white-space:nowrap;\"><span style=\"white-space:nowrap;\">&amp;asymp;</span></span> 2/3</span> has long been unclear. However, describing Standard Model fermions as spheres with radius (Compton wavelength)/4, allows only three fermions in each charge state and avoids the infinite energy density of point particles. Then the Koide parameter <span style=\"white-space:nowrap;\"><em>Q</em><sub>1</sub> <span style=\"white-space:nowrap;\"><span style=\"white-space:nowrap;\">&amp;asymp;</span></span> 2/3</span> because the electron Compton wavelength is more than 200 times the muon and tau Compton wavelengths. A tau mass equivalent of 1776.98 MeV, within experimental error bars, would result in <em>Q</em><sub>1</sub> = 2/3. The analysis is discussed in the context of efforts to extend the Standard Model of particle physics.
%K Koide Relation
%K Standard Model Fermions
%K Extending the Standard Model
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=113928