Traveling Through Time That Doesn't Exist

The End of Time by Julian Barbour

Terminator-type time travel, with its history-rewriting journeys along a linear timeline, is an attractive but ridiculous idea. The resulting universe would be utterly insane and impossible to order.

The problem in our thinking begins with the idea of the timeline. Time is not a line, or anything else we ordinarily perceive it to be, and all we ever do is journey through a universe that is essentially...at rest.