Since we're talking about a timescale in billionths of a second, perhaps we've simply got the speed of light wrong and CERN just handed us a more accurate means to measure it?
This is an interesting concept. But even if that is the case them it still ruins Einsteins theories and such because then E =/= mc^2, because, as far as I'm aware, the speed of light was deduced from this equation, and later verified by measuring it.