for a beam of light is time fully dilated? as in via length contraction a beam of light traverses an infinitly small distance at the speed of light?

 

is this why light always has to travel along the shortest path? (in GR)

[math]\lim_{v{\to}c}d\sqrt{1-\frac{v^2}{c^2}}=0[/math]

 

light has to travel the shortest path, because it can't change it's own direction.

One interpretation is that light itself doesn't experience time: time rate = 0.

One interpretation is that light itself doesn't experience time: time rate = 0.

...to an outside observer. to light, time would be the same.