PNMS Case Study 5 Vol. 1 — Lepton Mass Hierarchy: Electron, Muon, Tau

Analysis of the charged lepton family (electron, muon, tau) using the Property-Neutral Matrixscope projection Φ_R against the reference basis R₈. Five mass-derived properties (rest mass, rest energy, Compton wavelength, Compton time, effective temperature) are projected into signature space and evaluated with structural distance analysis. The results show that generation separation corresponds to a pure scale shift: all rows contribute uniformly to pairwise distances, the three leptons are collinear in signature space, and the ratio of distances equals the logarithmic ratio of the masses. Input values are CODATA 2018 rest masses; all other quantities are deterministically derived