  We quantize the interaction of gravity with Yang-Mills and spinor fields,
hence offering a quantum theory incorporating all four fundamental forces of
nature. Using canonical quantization we obtain solutions of the Wheeler-DeWitt
equation in a vector bundle and the method of second quantization leads to a
symplectic vector space $(V,\om)$ and a corresponding CCR representation for
the bosonic components and a CAR representation for the fermionic part. The
solution space of the Wheeler-DeWitt equation is invariant under gauge
transformations and under isometries in the spacelike base space $\so$ of a
given Riemannian metric $\rho_{ij}$. We also define a net of local subalgebras
which satisfy four of the Haag-Kastler axioms.
