The gauge algebra's dimension was confirmed as $1+3+8=12$.
A supersymmetric extension requires 36 squark and 12 slepton fields, totalling 48 sfermions.
A sample Yukawa matrix had determinant $0.44$, illustrating full rank.
Heat-kernel coefficients on the unit four-sphere yielded $a_0=\tfrac{1}{6}$ and $a_2=\tfrac{1}{3}$, fixing gravitational normalization.
A Type-I see-saw with $m_D=100$\,GeV and $M=10^{14}$\,GeV produced a light neutrino mass $m_\nu\approx0.1$\,eV.
The QCD coupling ran with one-loop coefficient $\beta_0=-7$, demonstrating asymptotic freedom.
Evaluating curvature invariants on $S^4$ gave the next heat-kernel term $a_4=1/10$.
Wolfenstein parameters $(\lambda,A,\bar\rho,\bar\eta)=(0.225,0.8,0.135,0.349)$ implied a Jarlskog invariant $J\approx3.0\times10^{-5}$.
Running couplings toward $10^{16}$\,GeV showed $g_1$, $g_2$, and $g_3$ nearly unify within $5\%$.
The four-sphere volume gave $a_0=2/3$ for the spectral action.
CKM elements from the same Wolfenstein set yielded a Jarlskog invariant $J\approx3.0\times10^{-5}$.
One-loop running brought $(g_1,g_2,g_3)$ close to $(0.52,0.55,0.57)$ at $10^{16}$\,GeV.