  We fit the three finestructure constants of the Standard Model with three, in
first approximation theoretically estimable parameters, 1) a
"unifiedscale",turning out not equal to the Planck scale and thus only
estimable by a very speculative story, 2) a "number of layers" being a priori
the number of families, and 3) a unified coupling related to a critical
coupling on a lattice. So formally we postdict the three fine structure
constants! In the philosophy of our model there is a physically lattice theory
with link variables taking values in a (or in the various) "small"
representations of the Standard Model Group. We argue for that these
representations functio in first approximation as were the theory a genuine
$SU(5)$ theory. Next we take into account fluctuation of the gauge fields in
the lattice and obtain a correction to the a priori $SU(5)$ approximation,
because of course the link fluctuations not corresponding any Standard model
Lie algebra, but only to the SU(5), do not exist. The model is a development of
our old anti-grand-unification model having as its genuine gauge group, close
to fundamental scale, a cross product of the standard model group S(U(3)x U(2))
with itself, there being one Cartesian product factor for each family. In these
old works we included the hypotesis of "multiple point criticallity principle"
which here effectively means the coupling constants be critical on the lattice.
Counted relative to the Higgs scale we suggest the in our sense "unified scale"
(where the deviations between the inverse fine structure constants deviate by
quantum fluctuations being only from standard model groups, not SU(5)) makes up
the 2/3 th power of the Planck scale relative to the Higgs scale, or better the
top quark mass scale.
