标题： de Broglie-Bohm 解释在球对称时空中的 Wheeler-DeWitt 方程的解析解 显示英文标题

标题： de Broglie-Bohm Interpretatin for Analytic Solutions of The Wheeler-DeWitt Equation in Spherically Symmetric Space-time

摘要： 我们讨论波函数对量子引力的含义，该波函数仅以三维几何结构为参数，并且在一般的坐标变换下保持不变。 我们从球对称时空的Wheeler-DeWitt方程中推导出一个解析波函数，其中坐标系是任意的。 量子力学的德布罗意-玻姆解释被应用于该波函数。 在这一解释中，确定性动力学可以从完全量子区域以及半经典区域的波函数中得出。 通过引入一个额外的坐标系，我们获得了一个宇宙学黑洞图景，以补偿普遍协变性的损失。 我们的分析表明，德布罗意-玻姆解释为量子引力提供了一个合适的方案，以自然的方式引入坐标系，并由于普遍协变性的破坏而从波函数中提取信息。 显示英文摘要

摘要： We discuss the implications of a wave function for quantum gravity, which involves nothing but 3-dimensional geometries as arguments and is invariant under general coordinate transformations. We derive an analytic wave function from the Wheeler-DeWitt equation for spherically symmetric space-time with the coordinate system arbitrary. The de Broglie-Bohm interpretation of quantum mechanics is applied to the wave function. In this interpretation, deterministic dynamics can be yielded from a wave function in fully quantum regions as well as in semiclassical ones. By introducing a coordinate system additionally, we obtain a cosmological black hole picture in compensation for the loss of general covariance. Our analysis shows that the de Broglie-Bohm interpretation gives quantum gravity an appropriate prescription to introduce coordinate systems naturally and extract information from a wave function as a result of breaking general covariance.