  The three-dimensional complexified exteriour bundle $C \otimes \Lambda(R^3)$
is proposed as a geometric interpretation of electroweak doublets of Dirac
fermions. The Dirac equation on this bundle allows a staggered discretization
on a three-dimensional scalar complex lattice field $C(Z^3)$.
  The three-dimensional affine group $Aff(3)$ is proposed as a geometric
interpretation for the matrix defined by the three generations, with the three
quark doublets and a lepton doublet in each generation. The corresponding
lattice space $(Aff(3) \otimes C)(Z^3)$ allows a simple condensed matter
(ether) interpretation. A possibility to construct anticommuting fermion
operators based on canonical quantization is given.
  A set of axioms of the gauge action is defined such that the gauge action of
the SM gauge group $SU(3)_c x SU(2)_L x U(1)_{Y}$ is the maximal possible one.
This includes preservation of Euclidean symmetry and the symplectic structure,
anomaly freedom, ground state neutrality, and the possibility of realization on
the lattice. Strong interactions are realized as Wilson-like gauge fields, weak
gauge fields as effective gauge fields describing lattice deformations, and the
EM field as a combination of above types.
  Some possibilities to explain the qualitative characteristics of the mass
parameters are discussed.
