Insight Of the Quantized Gravity: From Harmonic Oscillator to Black Hole

Abstract

In the long history of physics development, harmonic oscillator is always a very important tool. This is because of its beauty in not only the motion but also the relevant mathematic form. This paper states the history related to harmonic oscillators, and explores its probable application in quantized gravity and the quantum Banados-Teitelboim-Zanelli (qBTZ) black hole especially. This paper starts from the harmonic oscillators in classical mechanics, and then stresses the introduction of creation and annihilation operators in quantum harmonic oscillators. This indicates the importance of the idea that harmonic oscillator system can be described by annihilation (creation) operator. In addition, before expanding the idea that depict the system by annihilation(creation) operator on gravity, this paper shows a brief introduction on quantum field theory. After that, the quantized gravity will be mentioned, where this paper deems black hole as an important system for people to study the essence of gravity. Finally, the qBTZ black hole is introduced as an example.