I am quite sure physics will disagree with you. Time can be reversed and a theoretical physicist will confirm this to you. What we lack currently to me is the engineering, not the mathematics.

With science I do not think impossible is an answer. Remember some years back, it was impossible to move from one place to another, but today we have cars and different mode of transportation. Have you thought about teleportation, so many will say it is impossible in a classical world but this is different in the world of science as we are already experiencing quantum teleportation.