  It is an old speculation in physics that, once the gravitational field is
successfully quantized, it should serve as the natural regulator of infrared
and ultraviolet singularities that plague quantum field theories in a
background metric. We demonstrate that this idea is implemented in a precise
sense within the framework of four-dimensional canonical Lorentzian quantum
gravity in the continuum. Specifically, we show that the Hamiltonian of the
standard model supports a representation in which finite linear combinations of
Wilson loop functionals around closed loops, as well as along open lines with
fermionic and Higgs field insertions at the end points are densely defined
operators. This Hamiltonian, surprisingly, does not suffer from any
singularities, it is completely finite without renormalization. This property
is shared by string theory. In contrast to string theory, however, we are
dealing with a particular phase of the standard model coupled to gravity which
is entirely non-perturbatively defined and second quantized.
