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# Solutions to the Puzzles of Quantum Gravity and General Theory of Quantum Gravity and Quantum Gravity of the Universe and General Black Hole

Version 1
: Received: 1 July 2021 / Approved: 2 July 2021 / Online: 2 July 2021 (14:05:31 CEST)

Version 2 : Received: 7 July 2021 / Approved: 8 July 2021 / Online: 8 July 2021 (13:17:17 CEST)

Version 2 : Received: 7 July 2021 / Approved: 8 July 2021 / Online: 8 July 2021 (13:17:17 CEST)

(This article belongs to the Research Topic Quantum Computing)

How to cite:
Huang, C.; Huang, Y.; Li, X. Solutions to the Puzzles of Quantum Gravity and General Theory of Quantum Gravity and Quantum Gravity of the Universe and General Black Hole. *Preprints* **2021**, 2021070054 (doi: 10.20944/preprints202107.0054.v2).
Huang, C.; Huang, Y.; Li, X. Solutions to the Puzzles of Quantum Gravity and General Theory of Quantum Gravity and Quantum Gravity of the Universe and General Black Hole. Preprints 2021, 2021070054 (doi: 10.20944/preprints202107.0054.v2).

## Abstract

This paper gives both the solutions to the puzzles of quantum gravity and a general theory of quantum gravity, further shows quantum gravity of the Universe and general black hole, and discovers their relations reflecting symmetric propertis 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 quantization of the standard gravity. No needing, as usual, to solve the Euler-Lagrange equation to complete the whole process of the quantization of the standard gravitational fields, namely, this paper novelly simplifies all the current quantization theories of the standard gravitational fields. So lots of the complex calculations of quantum gravitational field theories up to now can be omitted to make the physical picture clearer, simpler and more easily understanding. Therefore, the solutions to puzzles of quantum gravity are given. Consequently, this paper opens a door to study and give a general theory of the quantum gravitational field don't depending on any concrete metric models.

## Subject Areas

general relativity, Lagrangian, operators, quantum gravity, the universe, general black hole

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Commenter: Yong-Chang Huang

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