Published — OSF Preprint

600-Cell Standard Model Emergence Series

SM-4: Charged Lepton Masses from the K3 Spectral Theorem

Thomas Lee Abshier, ND · Grok (xAI) · Claude Sonnet (Anthropic)

Version 5, 26 March 2026 · OSF →

Abstract: The K3 Spectral Theorem (SM-3) proves K = 2/3 as one constraint on three lepton masses, reducing three free parameters to two. The phase θ = 132.73 is extracted from PDG values. A structural theorem proves θ is undetermined within K3+SSV; its derivation is the principal open problem gating the electroweak series. Nature satisfies K = 2/3 to 11 ppm.