Actually the 'if time stops speed should be infinite' kind of reminds me of that paradox by that ancient greek: The one with the arrow, the reasoning being: If an arrow flies trough the air, it is at a certain point at a certain time, it is there at the moment -not somewhere else-, therefor the arrow is standing still.

Total paradoxal Bull, but just poped into my mind.

For the actual question: I have no clue. All I know is, is that the theory einstein made up doens't always work, like when mixed with quantum mechanics.