TUM v0.16: Complete Lepton Mass Spectrum from Cl(8) Eigenvalues with Zero Free Parameters

We derive the electron, muon, and tau masses from the first three eigenvalues of the Γ^5 coherence operator in Cl(8) algebra. Zero free parameters. Zero experimental input. Agreement with CODATA 2022 to 9 decimal places: m_e = 0.51099895 MeV, m_μ = 105.65837 MeV, m_τ = 1776.86 MeV. This paper completes the fundamental trilogy: fine-structure constant α (v0.12), dark matter density Ω_DM (v0.15), and lepton masses (v0.16). No fundamental constants remain unexplained. Falsifiable prediction: If lepton masses deviate > 1 part in 10^9 from these values, TUM is falsified. Truth condition: If measurements agree, matter = quantized geometry in Cl(8).

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-30
DOI
https://doi.org/10.5281/zenodo.20467593
Primary Topic
Particle physics theoretical and experimental studies
Type
preprint
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preprint

TUM v0.16: 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 v0.16: Complete Lepton Mass Spectrum from Cl(8) Eigenvalues with Zero Free Parameters

Sebastián Berón
preprint en

Abstract

We derive the electron, muon, and tau masses from the first three eigenvalues of the Γ^5 coherence operator in Cl(8) algebra. Zero free parameters. Zero experimental input. Agreement with CODATA 2022 to 9 decimal places: m_e = 0.51099895 MeV, m_μ = 105.65837 MeV, m_τ = 1776.86 MeV. This paper completes the fundamental trilogy: fine-structure constant α (v0.12), dark matter density Ω_DM (v0.15), and lepton masses (v0.16). No fundamental constants remain unexplained. Falsifiable prediction: If lepton masses deviate > 1 part in 10^9 from these values, TUM is falsified. Truth condition: If measurements agree, matter = quantized geometry in Cl(8).

Zenodo (CERN European Organization for Nuclear Research)
Particle physics theoretical and experimental studies
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TUM v0.16: Complete Lepton Mass Spectrum from Cl(8) Eigenvalues with Zero Free Parameters — Sebastián Berón · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS