The eeriest thing about time, to me, is this: The faster you travel, the slower time passes for you - and the quicker evertyhing around you seems to pass. If you could travel at the speed of light, that means that you can appear anywhere in the universe in an instant. The problem is that you wouldn't be able to return - or well, you could, but what you would return to would be the place you were at, aged relative to the distance that you traveled. If there was indeed a "restaurant at the end of the universe", could you visit it? Sure. At the speed of light, instantly. But upon your return, you'd find that the sun has burnt out, and the planets you have known, have likely turned to dust.
And the most incomprehensible part of it all? This is measurable fact, as far as we can tell from our experiments.
Time, the final frontier.