Which word is better to translate "crossing" into English?

Dictionary:

Pass through; Crosscutting; Time travel; Time travel is short for time travel and space travel. Generally speaking, it refers to an event that a person enters another time and space (B time and space) from his own time and space (A time and space) through a certain process for some reason.

But there is a saying in a BBC feature film that it is used to bring it back. This time, I went back to the period of the US-Mexico War. This time I traveled back to the Zhan dispute between Mexico and the United States.