Series Paper — SM-Line
Standard Model Series
SM-9: The Quark Mass Scaling Exponent
The 7/3 quark-mass exponent derived from pair counting and linear cage dimension on the 600-cell
α = 7/3 derived
Abstract: SM-9 derives the quark mass scaling exponent alpha = 7/3 left calibrated in SM-8 through the angular-weighted pair model. A symmetry-degeneracy theorem reduces angular-weighted chain-chain pair sums to V^2/4 for vertex-transitive polyhedra, leaving edge structure as the mass-relevant distinction. The exponent emerges from the decomposition V^2 times V^(1/3) (pair count times linear cage dimension), with the prefactor M_0 = m_e z / phi derived from lattice connectivity and the post-gap multiplier corrected to z C_F = 16. An electroweak feedback correction at the 0.1% level is identified as a candidate strong-electroweak unification signal.
- Exponent 7/3 = 2 + 1/3 derived from V² pair count × V^(1/3) cage dimension
- Symmetry Degeneracy Theorem proves angular weights vanish
- Zero-parameter quark mass formula RMS 2.1%