论文标题
随着时间的时间
A Wheeler-DeWitt Equation with Time
论文作者
论文摘要
惠勒（Wheeler）和德威特（Dewitt）在1960年代后期产生的规范重力方程仍然在其数学解决方案及其物理解释方面遇到了困难。众所周知，这些问题之一是没有明确的时间。在此简短的说明中，我们建议一种简单明了的方法来避免这种情况。我们回到了启发惠勒和德威特（即汉密尔顿 - 雅各比 - 因斯坦方程）的经典方程式，并在量化之前明确说明了一个已知的，经典有意义的时间概念。我们通过允许汉密尔顿的主要功能明确依赖于本地的本地。这种选择会随着时间的流逝而导致惠勒方程。显示了De Sitter MinisuperSpace的工作解决方案。
The equation for canonical gravity produced by Wheeler and DeWitt in the late 1960s still presents difficulties both in terms of its mathematical solution and its physical interpretation. One of these issues is, notoriously, the absence of an explicit time. In this short note, we suggest one simple and straightforward way to avoid this occurrence. We go back to the classical equation that inspired Wheeler and DeWitt (namely, the Hamilton--Jacobi--Einstein equation) and make explicit, before quantization, the presence of a known, classically meaningful notion of time. We do this by allowing Hamilton's principal function to be explicitly dependent on this time locally. This choice results in a Wheeler--DeWitt equation with time. A working solution for the de Sitter minisuperspace is shown.
