  q   N       beta  form                              m_pred[kg]       m_obs[kg]  resid
==============================================================================================================
  u  21     7.5176  K_Mex^2 * sqrt(3)                 3.8547e-30      3.8505e-30   0.107%
  d  21     4.1767  2*K_Mex + F_TRZ^2                 8.3191e-30      8.3250e-30   0.071%
  s  20     1.1623  sqrt(SO5) - sqrt(D_phys)          1.6654e-28      1.6650e-28   0.023%
  c  19    -0.1667  Phi_res - 1  =  -1/D_BSFG         2.2616e-27      2.2640e-27   0.106%
  b  18     4.6585  K_Mex * sqrt(5)                   7.4456e-27      7.4515e-27   0.080%

--- mass ratios (predicted vs observed) ---
  m_d/m_u:  pred=   2.1582   obs=   2.1620   resid=0.178%
  m_s/m_d:  pred=  20.0188   obs=  20.0000   resid=0.094%
  m_c/m_s:  pred=  13.5798   obs=  13.5974   resid=0.129%
  m_b/m_c:  pred=   3.2922   obs=   3.2913   resid=0.026%

--- integer ladder (mass-ordered) ---
  u : N=21 = D_crit - SO5/2     (= D_phys+D_BSFG+N_ch+2)
  d : N=21    (same as u; isospin doublet)
  s : N=20 = 2*SO5               (same as muon N_mu)
  c : N=19 = N_p                 (same as proton N_p)
  b : N=18 = 2*N_ch              (same as tau N_tau)
  t : closed via v_EW/sqrt(2)   (S272)
