Lepton and meson masses

TL;DR

This paper uses a geometric unified theory to calculate lepton and meson masses, providing theoretical predictions that closely match experimental values and suggesting a possible link to quark structure.

Contribution

It introduces a geometric approach to compute lepton and meson masses based on topological excitations, offering new insights into particle mass relationships.

Findings

Calculated muon mass: 107.59 MeV

Calculated pion mass: 140.88 MeV

Calculated kaon mass: 494.76 MeV

Abstract

The lepton mass ratios are calculated using a geometric unified theory, taking the leptons as the only three possible families of topological excitations of the electron or the neutrino. The theoretical results give 107.5916 Mev for the muon mass and 1770.3 Mev for the tau mass using the mass ratios. Using the additional geometric interaction energy in a muon-neutrino system, the main leptonic mass contribution to the pion and kaon mass is calculated to be, respectively, 140.88 Mev and 494.76 Mev. The necessary first order corrections, due to the interaction of the excitations, should be of the order of the discrepancies with experimental values. The three geometric families of leptonic excitations may be related to a quark structure.