Dr. Dr. Gang Lee

Quantum Superposition Effect of Gravitational Field, Negative Pressure and Dark Energy

Noncommutative Quantum Gravity and Symmetry of Klein-Gordon Equation

In the paper ’A New Approach to Quantum Gravity’[1], we suggest a new approach to quantum gravity. Using this theory, we can study the noncommutative gravitational field in momentum space. In this paper, we obtain the general form of the Klein-Gordon equation in noncommutative gravitational field. Then we find the symmetry associated with noncommutative gravity from the Klein-Gordon equation. We study black hole in momentum space and conclude that the event horizon of black holes is formed by the dipoles in momentum space with limit state.

Noncommutative Quantum Gravity and Dark Matter

According to the theory of noncommutative quantum gravity[1][2], we calculate the self-interaction of gravitons in momentum space. It shows that the self-interaction of gravitons makes the gravitational field deviate from the inverse square law. By calculating the metric, it can be ob- tained that the stronger the gravitational source, the stronger the energy- momentum of the excited gravitons, and the stronger the gravitational effect produced by the self-interaction of gravitons. Maybe be it can be used to explain dark matter and the Pioneer anomaly.

Calculation of Macroscopic Effects of Quantum Gravity in General Static Isotropic Gravitational Fields

In this paper we calculated the self-interaction of the gravitational field in coordinate space by approximate method, and find the functional relationship between gravitational source and distance and self-interaction of quantum gravity. The calculation result shows that the selfinteraction of quantum gravity can explain the gravitational effects of dark matter. In the solar system, the self-interaction is extremely weak, but it is enough to explain the the Pioneer anomaly.

Macroscopic Effect of Quantum Gravity in General Static Isotropic Gravitational Field

In this paper we calculated the self-interaction of the gravitational field, and analyzed the effect of the self-interactions in a general static isotropic gravitational field using a semi classical approach. We found that the effects of the self-interaction on the gravitational field can be used to explain dark matter.

Quantum Superposition and the Emergence of Negative Energy in Gravitational Fields

In this paper, we calculated the quantum superposition between states of the gravitational fields by Feynman path integration and concluded that in general, the quantum effects can be interpreted as the negative energy in gravitational field, it will lead to gravitational mass defect. Negative energy is related to Einstein's cosmological constant, and therefore also to dark energy.

The Role of Noncommutative Quantum Gravity in Galactic Dynamics and Dark Matter Phenomena

This paper is based on the theory of noncommutative quantum gravity to interpret the observed gravitational effects caused by dark matter, such as dark matter halos and the flatness of the rotation curves of galaxies. In this work, we explore whether noncommutative quantum gravity where spacetime coordinates follow a noncommutative algebra can naturally reproduce dark matter-like gravitational effects. Our findings suggest that the self-interaction effects in noncommutative quantum gravity may provide an alternative explanation for dark matter-like gravitational effects, potentially reducing the need for exotic matter.

A New Approach to Quantum Gravity

In this paper, we introduce a different approach to the theory of gravitational field. This method can give the semiclassical graviton directly. We discuss the dynamics and quantization of graviton and obtain the field equation of graviton. Also we give proof to prove that the quantum field theory constructed in this paper is classically equivalent to the general theory of relativity. We obtain the Green’s function of the graviton by the field equation, and the difficulty of Feynman integral divergence can be solved by this method.