Randomized trial derives lepton masses in a theoretical framework, suggesting a new understanding of fundamental physics.
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).
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Sebastián Berón (2026) studied this question.
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