Even if neutrinos…
The possibility of faster-than-light phenomena is suddenly being taken very seriously. I am not in a position to judge that neutrino stuff — though, contrary to the Italian ministry of Education, I know that there is no tunnel 🙂
Suppose now that a new limiting speed v>c would be found. I want to stress that no signal at finite speed can explain quantum correlations arising from measurement of entangled states! How can one prove this? The final result has just been found; we are writing a paper, I shall link it when it comes out. If you are too curious to wait, you can get an idea from partial results: the first paper and some recent progress.
Bottom line: if the neutrinos are really faster than light, a lot of our knowledge of physics will have to be reconsidered; but it looks like the weirdness of quantum correlations and its implications will remain.
P.S. on 19/10/11: here is what I called above “the final result“.