You may be aware of 'light clocks' and special relativity.
If not see this site below for 4 and 1/2 minute video... http://www.youtube.com/watch?v=8JKdqKtNPsU&NR=1
I believe that the reason it seems light slows down is due to the greater distance the photon has to travel. This is because the object is moving at right angles to the motion of the light clock.
Think about this... Would they get the same result if the light clock ran parallel to the motion of the moving object?
Would love to know your thoughts...
Also, if anyone has any other links to proof of time travel in this area, would love to see them, and whether they stack up to analysis.