Fermion Mass Hierarchy from Topological Invariants in AME(4,6) — Paper X (v2)

Key Points

• To derive the mass hierarchy exponent α from topological invariants and match it with empirical values.
• Three independent derivations utilized: Weyl dimension ratio, conformal structure, and central charge scaling.
• Examination of 4 parameters: α and 3 sector scales.
• Analysis of empiri­cal agreement with the derived exponent.
• Derived mass hierarchy exponent α = (k+N-1)/k = 5/3.
• Empirical value matches at 99% accuracy with observed value of 1.65.
• Only 4 parameters are needed to determine 9 fermion masses.