标题： 黑洞和虫洞在尘埃壳引力坍缩中的量子形成 显示英文标题

标题： Quantum Formation of Black Hole and Wormhole in Gravitational Collapse of a Dust Shell

摘要： 自引力尘埃壳的量子力学模型被考虑。 为了明确壳塌缩形成的经典和量子时空之间的关系，我们考虑了各种时间切片，在这些切片上发展了量子力学。 通过考虑对应于在恒定周长半径处的观察者的静态时间切片，我们得到了壳运动的波函数以及确定由壳塌缩形成的球对称时空全局结构的离散质量谱。 发现当静止质量与普朗克质量尺度相当时，由于零点量子涨落，虫洞态是被禁止的。 显示英文摘要

摘要： Quantum-mechanical model of self-gravitating dust shell is considered. To clarify the relation between classical and quantum spacetime which the shell collapse form, we consider various time slicing on which quantum mechanics is developed. By considering the static time slicing which corresponds to an observer at a constant circumference radius, we obtain the wave functions of the shell motion and the discrete mass spectra which specify the global structures of spherically symmetric spacetime formed by the shell collapse. It is found that wormhole states are forbidden when the rest mass is comparable with Plank mass scale due to the zero-point quantum fluctuations.