Earlier quoted context omitted.
I'm not the down-voter, but I think you were likely down-voted because this article/discussion is not about time travel. And your first statement is that "you can't have faster-than-light travel..." is precisely what this paper discusses -- that with certain loopholes in physics (and consistent with General Relativity), faster-than-light travel is at least theoretically possible.
I think the "faster than light" part wording seems a bit off since from what I gather the point is not to go fast to get to a location but to get there through warped space-time. I imagine a 100 km long and 1km high brick wall, you're in the middle but want to get to the other side of the wall. Option #1 is to travel as fast as you can 50km to one end and then 50km back to the spot on the other side. Option #2 tunnel…
You're still effectively traveling faster than light, however, and you'd still be able to use this to travel backwards in time.