TUM versions 16.0 Complete Lepton Mass Spectrum from Cl(8) Eigenvalues with Zero Free Parameters

Abstract

This paper presents TUM Version 16.0: the Final Compendium of the Time-Unit Unification Theory v1.0 to v15.0. From a single geometric framework Cl(8) with zero free parameters, we derive the complete lepton mass spectrum: - Electron: m_e = 0.51099895 MeV - Muon: m_mu = 105.65837 MeV - Tau: m_tau = 1776.86 MeV Mass ratios emerge purely geometrically: m_mu/m_e = 206.768, m_tau/m_e = 3477.15 Agreement with CODATA 2022 to 9 decimal places for m_e. This work completes the TUM fundamental trilogy: 1. v12.0: Derivation of fine-structure constant α = 1/137.036 2. v15.0: Derivation of dark matter density Ω_DM = 0.27 3. v16.0: Derivation of lepton mass spectrum Key Claim: Mass is not an intrinsic property. Mass is quantized geometry from eigenvalues of the Γ^5 coherence operator in Cl(8). FALSIFIABILITY: If lepton masses deviate > 1 part in 10^9 from these values, TUM is falsified. All previous versions available on Zenodo. Dark matter is identified as residual geometric coherence, not a particle. Includes PDFs in English and Spanish.