General Canonical Quantum Gravity Theory and that of the Universe and General Black Hole

TL;DR

This paper develops a comprehensive canonical quantum gravity framework applicable to the universe and black holes, revealing symmetry relations and establishing multiple styles of high-order canonical quantization for nonlinear gravitational systems.

Contribution

It introduces a general canonical quantum gravity theory with multiple quantization styles and uncovers symmetry relations in the nonlinear gravitational Lagrangian.

Findings

Derived general commutation relations for gravitational field operators.

Established four styles of high-order canonical momentum operators.

Completed all four styles of canonical quantization for standard gravity.

Abstract

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.