  This paper gives both a general canonical quantum gravity theory and the
general canonical quantum gravity theories of the Universe and general black
hole, and discovers the relations reflecting symmetric properties of the
standard nonlinear gravitational Lagrangian, which are not relevant to any
concrete metric models. This paper concretely shows the general commutation
relations of the general gravitational field operators and their zeroth, first,
second and third style, respectively, of high order canonical momentum
operators for the general nonlinear system of the standard gravitational
Lagrangian, and then has finished all the four styles of the canonical
quantization of the standard gravity.
