  A link between canonical quantum gravity and fermionic quantum field theory
is established in this paper. From a spectral triple construction which encodes
the kinematics of quantum gravity semi-classical states are constructed which,
in a semi-classical limit, give a system of interacting fermions in an ambient
gravitational field. The interaction involves flux tubes of the gravitational
field. In the additional limit where all gravitational degrees of freedom are
turned off, a free fermionic quantum field theory emerges.
