  Experimental observation of Majorana fermion matter gives a new impetus to
the understanding of the Lorentz symmetry and its extension, the geometrical
properties of the ambient space-time structure, matter--antimatter symmetry and
some new ways to understand the baryo-genesis problem in cosmology. Based on
the primordial Majorana fermion matter assumption, we discuss a possibility to
solve the baryo-genesis problem through the the Majorana-Diraco genesis in
which we have a chance to understand creation of Q(em) charge and its
conservation in our D=1+3 Universe after the Big Bang. In the Majorana-Diraco
genesis approach there appears a possibility to check the proton and electron
non-stability on the very low energy scale. In particle physics and in our
space-time geometry, the Majorana nature of the neutrino can be related to new
types of symmetries which are lying beyond the binary Cartan-Killing-Lie
algebras/superalgebras. This can just support a conjecture about the
non-completeness of the SM in terms of binary Cartan--Killing--Lie
symmetries/supersymmetries. As one of the very important applications of such
new ternary symmetries could be related with explanation of the nature of the
three families and three colour symmetry. The Majorana neutrino can directly
indicate the existence of a new extra-dimensional geometry and thanks to new
ternary space-time symmetries, could lead at high energies to the
unextraordinary phenomenological consequences.
