Affine quantization, a parallel procedure to canonical quantization, needs to use its principal quantum operators, specifically <i>D</i> = (<i>PQ</i>+<i>QP</i>)/2 and <i>Q<...Affine quantization, a parallel procedure to canonical quantization, needs to use its principal quantum operators, specifically <i>D</i> = (<i>PQ</i>+<i>QP</i>)/2 and <i>Q</i> ≠ 0, to represent appropriate kinetic factors, such as <i>P</i><sup>2</sup>, which involves only one canonical quantum operator. The need for this requirement stems from path integral quantizations of selected problems that affine quantization can solve but canonical quantization fails to solve. This task is resolved for simple examples, as well as examples that involve scalar, and vector, quantum field theories.展开更多
The vector model for gravitational field is a modified theory of gravitational field. In this model, the gravitational field is a vector field and its source is the gravitational mass of matter. This model predicts th...The vector model for gravitational field is a modified theory of gravitational field. In this model, the gravitational field is a vector field and its source is the gravitational mass of matter. This model predicts the existence of a new universal object after the black hole disappeared. It is named the white-black hole （or white hole） in the vector model for the gravitational field. The white- black hole has many interesting properties different from that of black hole in Einstein＇s theory of gravity. This paper presents an investigation of the spherically-symmetric pressure free collapse of a white-black hole in the vector model for gravitational field from the point of view of an observer at infinity and on its surface. The obtained results have many interesting differences compared with that in the spherically-symmetric pressure free collapse of black holes. In addition, the metric of space-time of the white-black hole in modified Eddington-Finkelstein coordinates and modified Kruskal-Szekeres coordinates are found.展开更多
文摘Affine quantization, a parallel procedure to canonical quantization, needs to use its principal quantum operators, specifically <i>D</i> = (<i>PQ</i>+<i>QP</i>)/2 and <i>Q</i> ≠ 0, to represent appropriate kinetic factors, such as <i>P</i><sup>2</sup>, which involves only one canonical quantum operator. The need for this requirement stems from path integral quantizations of selected problems that affine quantization can solve but canonical quantization fails to solve. This task is resolved for simple examples, as well as examples that involve scalar, and vector, quantum field theories.
文摘The vector model for gravitational field is a modified theory of gravitational field. In this model, the gravitational field is a vector field and its source is the gravitational mass of matter. This model predicts the existence of a new universal object after the black hole disappeared. It is named the white-black hole （or white hole） in the vector model for the gravitational field. The white- black hole has many interesting properties different from that of black hole in Einstein＇s theory of gravity. This paper presents an investigation of the spherically-symmetric pressure free collapse of a white-black hole in the vector model for gravitational field from the point of view of an observer at infinity and on its surface. The obtained results have many interesting differences compared with that in the spherically-symmetric pressure free collapse of black holes. In addition, the metric of space-time of the white-black hole in modified Eddington-Finkelstein coordinates and modified Kruskal-Szekeres coordinates are found.
