标题： 精确不确定性原理与量子化：对引力场的影响 显示英文标题

标题： Exact uncertainty principle and quantization: implications for the gravitational field

摘要： 引力场的量子化是在精确不确定性方法的框架下进行讨论的。 该方法可以描述为引力的哈密顿-雅可比量子化。 与以往从经典哈密顿-雅可比方程出发的方法不同，它包含了一些新的元素，特别是配置空间中系综形式的使用以及精确不确定性关系的假设。 这些提供了从经典理论过渡到量子理论所需的基本要素。 显示英文摘要

摘要： The quantization of the gravitational field is discussed within the exact uncertainty approach. The method may be described as a Hamilton-Jacobi quantization of gravity. It differs from previous approaches that take the classical Hamilton-Jacobi equation as their starting point in that it incorporates some new elements, in particular the use of a formalism of ensembles in configuration space and the postulate of an exact uncertainty relation. These provide the fundamental elements needed for the transition from the classical theory to the quantum theory.