[Tycho?]

Put your hand on a wall where there's a corner. Then move your hand to the opposite wall. (I'm assuming that the corner is a right corner.) The hand of your shadow can move faster than the actual hand. (I'm assuming this because it took your hand's shadow the same time to travel a greater distance than your hand in that same amount of time.) If you did this in a plane perpendicular to the source of light' date=' then we can draw a right triangle ABC. c is the the distance your hand traveled. a + b is the distance the shadow of the hand traveled. a+b>c.

 

suppose that someone constructed this on a grander scale. c is a light-second. my hand travels at the speed of light (or very close to it). Will the shadow surpass the speed of light?[/quote']

 

Yeah. Well it could anyway, as long as the triangle you made was big enough. A shadow is not an object, its only lack of light. So nothing is actually moving, aside from the thing casting the shadow. Interesting question though.