Registry · Theorem
IV.T172
tau-effective
formalized
IV.T172 — Generation Mass Hierarchy from Eigenvalue Ordering
Mass hierarchy from T² Laplacian eigenvalue ordering: λ₁=1 (gen 1, lightest) < λ₂=ι_τ⁻²≈8.6 (gen 2, middle) < λ₃=1+ι_τ⁻²≈9.6 (gen 3, heaviest). Gen 2 exponent = 5 = N_generators; Gen 3 exponent = 15/2 = N_gen·dim(τ³)/N_lobes. NNLO: m_μ/m_e at +43 ppm, m_τ/m_e at +61 ppm (via Koide).
Book IV
Part 5
Ch. 35