This isn't the case: the electron postulated can travel no faster than the speed of light. It just happens to have a world-line which bounces back and forth, a lot, from the beginning of time to the end of time.
There's a variety of interesting theory-things which treat a particle's absorption as an emission back in time, as well; the difference is that here is the "same particle" tracing all those lines, instead of just one of those lines.
There's a variety of interesting theory-things which treat a particle's absorption as an emission back in time, as well; the difference is that here is the "same particle" tracing all those lines, instead of just one of those lines.