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

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.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-08-13
DOI
https://doi.org/10.5281/zenodo.21925983
Primary Topic
Particle physics theoretical and experimental studies
Type
preprint
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preprint

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

Sebastián Berón
Zenodo (CERN European Organization for Nuclear Research)
Particle physics theoretical and experimental studies
preprint

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

Sebastián Berón
preprint en

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.

Zenodo (CERN European Organization for Nuclear Research)
Particle physics theoretical and experimental studies
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