I am well aware of entropy and the second law of thermodynamics. I however claim that the second law of thermodynamics does not completely rule out the possibility that time is running in reverse. There may be a mechanism that reverses the flow of time in the universe. The cellular automata Critters is a reversible cellular automaton so Critters exhibits the second law of thermodynamics. However, Critters also has a time reversal mechanism. In other words, time may be going backwards locally even though it is going forwards globally.
Its an interesting thought, but there are still the other issues that'd take place. For time to move from forward 1 second/s to -1 second/s, there would be a point where time is stopped. As an object approaches the speed of light, time in its reference frame comes to a stop, and its mass approaches infinity. If you could continue to supply energy a proportionally larger amount than infinity, perhaps you could reach a state of negative time? I haven't done the derivation in quite a while, so I don't recall what the physical implications of negative time would be.
I'd be interested in whether black holes have some sort of observable temporal distortion, they are the only infinite mass application that I can think of. Maybe thats a stepping stone in figuring out negative time?