  A Wheeler-Dewitt quantum constraint operator for four-dimensional,
non-perturbative Lorentzian vacuum quantum gravity is defined in the continuum.
The regulated Wheeler-DeWitt constraint operator is densely defined, does not
require any renormalization and the final operator is anomaly-free and at least
symmmetric. The technique introduced here can also be used to produce a couple
of other completely well-defined regulated operators including but not
exhausting a) the Euclidean Wheeler-DeWitt operator, b)the generator of the
Wick rotation transform that maps solutions to the Euclidean Hamiltonian
constraint to solutions to the Lorentzian Hamiltonian constraint, c) length
operators, d) Hamiltonian operators of the matter sector and e) the generators
of the asymptotic Poincar\'e group including the quantum ADM energy.
