Empirical Relationships among Lepton and Quark Masses
Abstract
We derive empirical relationships among elementary fermion masses based on relatively simple exponential formulae involving quantum numbers for the electromagnetic and strong interactions, with a weak correction factor motivated by a simple linear combination of mass terms for the weak and electromagnetic interactions of charged leptons. This results in a prediction of mτ = 1776.81234 (33) MeV, to be compared to the world average measurement of 1776.84 (17) MeV. We find a simple 2π relationship among neutrino mass ratios agrees well with present neutrino oscillation measurements. We extend the form of the mass ratios to the quark sector, giving qualitative agreement with quark masses.
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.