标题： 关于宇宙弦和量子引力的备注 显示英文标题

标题： Remarks on Cosmic Strings and Quantum Gravity

摘要： 由引力相位算符构成的量子等价原理被提出，该算符是庞加莱群的一个元素。 这被应用于自旋宇宙弦，表明它可能包含引力扭力，但不一定。 得到了爱因斯坦-卡坦-斯嘉玛-基布尔方程在具有扭力的引力场中的新精确解，对于具有均匀能量密度、自旋密度和通量的宇宙弦在所有地方都成立。 伦敦和德维特提出的通量量子化条件被推广以包括自旋通量。 利用宇宙弦的量子化引力场对弦外粒子波函数的新奇效应，说明在量子引力中时空点是没有意义的。 显示英文摘要

摘要： A quantum equivalence principle is formulated by means of a gravitational phase operator which is an element of the Poincare group. This is applied to the spinning cosmic string which suggests that it may, but not necessarily, contain gravitational torsion. A new exact solution of the Einstein- Cartan-Sciama-Kibble equations for the gravitational field with torsion is obtained everywhere for a cosmic string with uniform energy density, spin density and flux. The quantization condition for fluxoid due to London and DeWitt is generalized to include the spin flux. A novel effect due to the quantized gravitational field of the cosmic string on the wave function of a particle outside the string is used to show that spacetime points are not meaningful in quantum gravity.