  We construct a `non-unital spectral triple of finite volume' out of the Moyal
product and a differential square root of the harmonic oscillator Hamiltonian.
We find that the spectral dimension of this triple is d but the KO-dimension is
2d. We add another Connes-Lott copy and compute the spectral action of the
corresponding U(1)-Yang-Mills-Higgs model. We find that the `covariant
coordinate' involving the gauge field combines with the Higgs field to a
unified potential, yielding a deep unification of discrete and continuous parts
of the geometry.
