  The arbitrary mass scale in the spectral action for the Dirac operator in the
spectral action is made dynamical by introducing a dilaton field. We evaluate
all the low-energy terms in the spectral action and determine the dilaton
couplings. These results are applied to the spectral action of the
noncommutative space defined by the standard model. We show that the effective
action for all matter couplings is scale invariant, except for the dilaton
kinetic term and Einstein-Hilbert term. The resulting action is almost
identical to the one proposed for making the standard model scale invariant as
well as the model for extended inflation and has the same low-energy limit as
the Randall-Sundrum model. Remarkably, all desirable features with correct
signs for the relevant terms are obtained uniquely and without any fine tuning.
