Einstein's special relativity was a great and very bold insight, and was based on a sceptical philosophy of Ernst Mach's. This philosophy is that abstract concepts like time and space modify so that whatever it is you see of a process, in your reference frame, that is 'real', which means the normal laws of physics have to apply to it. That includes, presumably, the second law of thermodyamics that entropy/disorder must increase.
Now imagine, just for the sake of argument, that you're zooming away from a supernova at more than the speed of light. As you go, you're overtaking the light coming from the supernova, so you'll see the supernova going backwards in time (rather like the introduction to the film Contact, where a spaceship traveling away from the Earth at speeds greater than light relives radio history backwards). A layman might explain this as just being how you see it, but if we accept special relativity (and it has been well tested in this way, by Hafele and Keating, 1974) we have to go further and say that this backwards supernova is 'real' so the laws of physics must apply to it. This is alright for most of the laws of physics since most are easily reversible. For example, you can reverse the velocity of every particle in the supernova and they still obey Newton's laws, but if you see the supernova converging on itself then there is a reduction of entropy in time, since it is approaching a special state. This violates the second law of thermodynamics. So special relativity's insistence on what you see being 'real' forbids faster than light travel if we accept this second law. A related problem is that causality is violated too.
A more famous reason that relativity forbids faster than light travel is that when an object approaches light speed its inertial mass approaches infinity and you can't push it any faster so it has constant speed. However, MiHsC challenges this because at a constant velocity the Unruh waves that MiHsC assumes cause inertia would become larger than the Hubble scale and vanish, so the inertial mass would dissipate in a new way. This means, if you do the maths, that MiHsC predicts that a tiny minimum acceleration remains, even at the speed of light, meaning that this barrier can be broken.
The problem I have now is that, if this is true, how can I reconcile MiHsC and its tentative faster than light possibility, with the supernova problem and the violation of causality I mentioned above?
Quote by Werner Heisenberg: "How fortunate we have found a paradox. Now we have some hope of making progress!"