Check A Slower Speed of Light out. Not only the net can reach ultra-classical limit case. Light can do that too, see experiments of Vestergaard Hau.
Special theory of relativity says that everything moves with light speed in Minkowski space - that's no news. You do too, of course. You do it always, sitting in your chair doing nothing except ignoring the motion of earth, sun, milky way and so on you move with light speed in time direction.
The question is just what part of velocity is not in time direction - this is Newtonian velocity. This one we have in mind, even now, 110 years later.