  We discuss the possibility to extend the spectral action up to energy close
to the Planck scale, taking also into account the gravitational effects given
by graviton exchange. Including this contribution in the theory, the coupling
constant unification is not compromised, but is shifted to the Planck scale
rendering all gauge couplings asymptotically free. In the scheme of
noncommutative geometry, the gravitational effects change the main standard
model coupling constants, leading to a restriction of the free parameters of
the theory compatible with the Higgs and top mass prediction. We also discuss
consequences for the neutrino mass and the see-saw mechanism.
