Thought I'd chime in on this one, since I've had this one thought in my head for such a long time:
You're travelling from point A to point B. You keep doing, each time going twice as fast as the previous time. If it were possible to reach a speed that the time to take you from point A to point B was 0 (instantaneously), then if you were to go any faster than that speed, you would have to be at point B BEFORE you left point A, thereby jumping somewhere in time...
But, you will never reach "Instantaneous" speed, because if you graph out all this junk, you get an asymtope that represents instantaneous speed, which you can never reach. Is this the speed of light? I dunno.
Just thought I'd throw that out as something else to think about...
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