It is attempted to construct a group-dependent quantity that could be used to
single out the Standard Model group S(U(2) x U(3)) as being the "winner" by
this quantity being the biggest possible for just the Standard Model group. The
suggested quantity is first of all based on the inverse quadratic Cassimir for
the fundamental or better smallest faithful representation in a notation in
which the adjoint representation quadratic Cassimir is normalized to unity.
Then a further correction is added to help the wanted Standard Model group to
win and the rule comes even to involve the Abelian group U(1) to be multiplied
into the group to get this correction be allowed. The scheme is suggestively
explained to have some physical interpretation(s). By some appropriate
proceedure for extending the group dependent quantity to groups that are not
simple we find a way to make the Standard Model Group the absolute "winner".
Thus we provide an indication for what could be the reason for the Standard
Model Group having been chosen to be the realized one by Nature.Comment: already publiched in 2011 in Bled Conference proceedings "What comes
beyond the Stadard Models