Originally posted by Chen
But isn't time relative, i.e it changes if you travel at great speeds?
Yes. In fact, there is a very useful analogy which Brian Green uses near the opening of his book "The Elegant Universe". He proposes that it might be useful to think of all material objects as having a total velocity of
c. The analogy he uses is that of a car driving across a dry lake bed. On this lake bed there are lines drawn north-to-South. These lines are one kilometer apart. If you drive your car straight eastward, at a speed of 60 kilometers per hour, you will cross one line every minute. But if you turn to the Northeast, at a 45
o angle, it will take you two minutes to get from one line to the next. Although your total velocity is still 60 kph, only half of that total velocity is assisting you in your eastward progress.
In the same way (says Green), whenever we move through one of the three "spatial" dimensions, that velocity must be subtracted from our progress through time, so that our total velocity still equals
c. If you were to turn your car straight north, you would never reach the next line on the lake bed because 100% of your total velocity would be devoted to NorthWard progress. Likewise, if you accelerate to
c in any of the three spatial directions, your progress through time will stop. The next "moment" of your life will never arrive, because you have brought yourself parallel to it.
So, when you are stationary relative to some spatial frame of reference, time passes at lightspeed. When you travel at lightspeed through space, you become stationary relative to time.