Foundation of The Two dimensional Quantum Theory of Gravity

TL;DR

This paper explores the two-dimensional structure of gravity and quantum effects of black holes, performing canonical quantization and deriving uncertainty relations and a quantum gravitational length to explain black hole phenomena.

Contribution

It introduces a two-dimensional quantum gravity framework, providing new insights into black hole quantum effects and the origin of the Planck length.

Findings

Unveiled the 2D substructure of gravity and quantum effects of black holes.

Performed canonical quantization of 2D gravity theory.

Derived uncertainty relations explaining black hole quantum phenomena.

Abstract

The two dimensional substructure of general relativity and gravity, and the two dimensional geometry of quantum effect by black hole are disclosed. Then the canonical quantization of the two dimensional theory of gravity is performed. It is shown that the resulting uncertainty relations can explain black hole quantum effects. A quantum gravitational length is also derived which can clarify the origin of Planck length.