  We consider a Graviweak Unification model with the assumption of the
existence of the hidden (invisible) sector of our Universe parallel to the
visible world. This Hidden World (HW) is assumed to be a Mirror World (MW) with
broken mirror parity. We start with a diffeomorphism invariant theory of a
gauge field valued in a Lie algebra g, which is broken spontaneously to the
direct sum of the spacetime Lorentz algebra and the Yang-Mills algebra: $\tilde
{\mathfrak g} = {\mathfrak su}(2)^{(grav)}_L \oplus {\mathfrak su}(2)_L$ -- in
the ordinary world, and $\tilde {\mathfrak g}' = {{\mathfrak
su}(2)'}^{(grav)}_R \oplus {\mathfrak su}(2)'_R$ -- in the hidden world. Using
an extension of the Plebanski action for general relativity, we recover the
actions for gravity, SU(2) Yang-Mills and Higgs fields in both (visible and
invisible) sectors of the Universe, and also the total action. After symmetry
breaking, all physical constants, including the Newton's constants,
cosmological constants, Yang-Mills couplings, and other parameters, are
determined by a single parameter $g$ presented in the initial action, and by
the Higgs VEVs. The Dark Energy problem of this model predicts a too large
supersymmetric breaking scale ($\sim 10^{10}-10^{12}$ GeV), which is not within
the reach of the LHC experiments.
