  We consider the application of the Multiple Point Criticality Principle to
the Standard Model and its extension to the anti-grand gauge group $SMG^3
\otimes U(1)_f$ at the Planck scale. In particular we discuss the predictions
for the fine structure constants: $\alpha^{-1}(0) = 137 \pm 9$,
$\alpha^{-1}_{1}(M_Z) =99 \pm 5$, $\alpha^{-1}_{2}(M_Z) =29 \pm 6$,
$\alpha^{-1}_{3}(M_Z) =12 \pm 6$. We also present our Standard Model
predictions for the top quark and Higgs masses and a $SMG^3 \otimes U(1)_f$ fit
of the quark-lepton masses and mixing angles. We characterise $SMG^3 \otimes
U(1)_f$ as the largest possible extension of the Standard Model gauge group
satisfying some relatively simple assumptions. The resolution of some other
fine-tuning problems ($\Lambda_{cosmological}$, $\Theta_{QCD}$, $M_{Higgs}$) by
the multiple point requirement of degenerate vacua is briefly discussed.
