"Subhash Kak, Delaune Distinguished Professor of Electrical and Computer Engineering at LSU, recently resolved the twin paradox, known as one of the most enduring puzzles of modern-day physics."
http://www.sciencedaily.com/releases/2007/02/070214220824.htm
Basically, the paradox deals with identical twins: one is placed on a spacecraft moving at near the speed of light, while one remains earthbound. The twin who remains on earth would age dramatically when compared to his traveling sibling. It has been proven that time slows down with moving objects, but the paradox is that the earthbound twin is the one considered to be in motion from the twin in the ship, and should be aging slower. Kak says he's solved the paradox by defining motion in relation to distant stars, not in individual objects. This discovery could possibly communications systems used in space.
Comments on this? I'm pretty impressed by it and intrigued by what it could set in motion.