I'm sorry but this will sound snarky: What's wrong is that the axes are not labeled and arrowed and I have no Idea what it should represent. First I thought the yellow lines are supposed to be some kind of light cone of the object in the red line, as viewed from a moving observer, but that doesn't make it make sense.

As far as I can tell a teleporter was moving with a large speed in front of the yellow lines and then teleported onto the line whose speed he matched. I did not see any instance of cause preceding effect or someone being able to percieve his own future.(My definition of time travel here.)