Physics Town

continues

Wheeler–DeWitt equation, 2

Posted on July 29, 2012 by rpflee

This wave function contains all of the information about the geometry and matter content of the universe.

In fact, the principle of general covariance in general relativity implies that global evolution per se does not exist; the time t is just a label we assign to one of the coordinate axes. Thus, what we think about as time evolution of any physical system is just a gauge transformation, similar to that of QED induced by U(1) local gauge transformation $\psi \rightarrow e^{i\theta(\vec{r} )} \psi$ , where $\theta(\vec{r})$ plays the role of local time.