How are phase values able to capture motion from video?

Hello everyone, I know that the phase spectrum contains most of the structural information about the image. But I want to know more about importance of phase spectrum related to video signals.

I have read that temporal variations of phase values are able to capture most of the dynamical characteristics of the video sequence like global motion in the video. phase based modelling

but i dont understand how it does?

please consider any real time example say video of rotating wheel or wave (or video of traffic on road.) if i compute its phase spectrum using Fourier Transform,the phase values captures motion of rotating wheel (or complex motion of moving car on road). but i don't understand how it does?By which property of Fourier transform could u explain it to me?

Also is there any mathematical relation between motion and phase? thanks in advance.