Is Time Travel Possible and How Does it Work?

[Imax]

to get back "home" would be quite a challenge

Following a Closed Timelike Curve (CTC) doesn't mean you go backwards in time. Locally, you still experience time going forwards, but as you follow this CTC you can end up at some time before you started. The problem is that it can take a very, very long time to follow a CTC, and as you're traveling along the CTC, spacetime continues to expand. It could be challenging to identify "home".