This analysis derives quark configurations and wave equations in a specified metric, suggesting significant predictive accuracy.
Starting from the scalar field action in the Clausius-Mossotti (CM) metric, we derive the wave equation potential V = μ²(W⁻¹/³ − 1) with zero free parameters. This mass-dependent potential generates exponential quark mass spectra through positive feedback. Six quark positions on a 20-rung ladder follow from D = 3 spatial dimensions; 2D = D(D+1)/2 holds uniquely for D = 3. A CM-native spin correction V_frac × W × 2D/((D+1)(D+2)) — using only framework quantities, no angular momentum quantum number j — completes the formula. With m_u = m_e × (4/3)π (zero input), all six quark masses are predicted: average error 1.6%, maximum 3.9%, 6/6 within 5%. The proton interior profile W(r) = exp(ln4(x²−1)) is derived from ∇²Φ = const. Verified across 77 checks, 95% pass rate, zero fitted parameters. Paper 2026m in the Speed Gap Framework series.
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Mandeep Singh (2026) studied this question.
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