奇异性问题与相空间的非正则非对易性
The singularity problem and phase-space noncanonical noncommutativity
摘要：
本文考虑了Schwarzschild黑洞的Kantowski-Sachs模型的Wheeler-DeWitt方程，假设其尺度因子和动量满足Heisenberg-Weyl代数的非正则非对易扩张.运动积分用于将波函数分解为振荡部分和位形空间变量的函数。后者被证明是正常化使用渐近参数。在波函数振荡片幅角为常值的超曲面上，概率在黑洞奇点附近为零。
英文摘要：
The Wheeler-DeWitt equation arising from a Kantowski-Sachs model is considered for a Schwarzschild black hole under the assumption that the scale factors and the associated momenta satisfy a noncanonical noncommutative extension of the Heisenberg-Weyl algebra. An integral of motion is used to factorize the wave function into an oscillatory part and a function of a configuration space variable. The latter is shown to be normalizable using asymptotic arguments. It is then shown that on the hypersufaces of constant value of the argument of the wave function's oscillatory piece, the probability vanishes in the vicinity of the black hole singularity.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
