  In the present paper we develop the self-consistent $Spin(4,4)$-invariant
model of the unification of gravity with weak $SU(2)$ interactions in the
assumption of the existence of visible and invisible sectors of the Universe.
It was shown that the consequences of the multiple point principle predicting
two degenerate vacua in the Standard Model (SM) suggest a theory of Inflation,
in which the inflaton field $\sigma$ starts trapped in a cold coherent state in
the "false vacuum" of the Universe at the value of the Higgs field's VEV $v\sim
10^{18}$ GeV (in the visible world). Then the inflations of the two Higgs
doublet fields, visible $\phi$ and mirror $\phi'$, lead to the emergence of the
SM vacua at the Electroweak scales with the Higgs boson VEVs $v_1\approx 246$
GeV and $v'_1=\zeta v_1$ (with $\zeta \sim 100$) in the visible and invisible
worlds, respectively.
