I am sorry but that doesn't work. A vertical asymptote means that before you get to warp 11 for example, there is an infinity to go through first. I don't care what you do when you're at wrap eleven if to get there you have to go through an impossibility first. Same thing about real physics. You can't get to the speed of light without an infinite amount of energy. You could argue that once you're at say twice the speed of light things get normal again but to get there you must dispose of an infinite amount of energy and that's impossible.