Using the equations above and assuming you experienced imaginary rather than real space and time, if you were to look at the real universe, you would think IT were experiencing the imaginary space/time, rather than you. Stephen Hawking has made a speculation that the Riemannian geometry of general relativity can be made Euclidean, and thus finite and understandable, if time were substituted for imaginary time. All the same, any good science requires one thing - data - something which we are sorely lacking when it comes to probing the concepts of particles moving faster than light.

That is a very great question, but unfortunately one that cannot easily be answered.The only things that are able to travel faster than light are imaginary particles called tachyons. These particles, which don't actually exist, would blink out of existence almost immediately if they did exist.

Nothing exists that can travel faster than the speed of light, and anything that theoretically could travel faster than the speed of light wouldn't exist for more than a moment, so we can't say much on how it interacts with light.