Comment Re:How much does it drift? (Score 1) 75
This is actually a serious problem with trying to accurately measure "the time" in a global sense. Time is affected by gravity and movement, so a second in one place isn't the same as a second in another place (even if both places are on the surface of Earth). You can't really measure Earth time much more accurately than current atomic clocks, as the variation in the length of a second from place to place starts to outweigh the accuracy of the clocks.
So the answer is that your nuclear clock is indeed accurate to femtoseconds. Changing gravity by walking towards it will change time, but the clock will continue to tick accurately. However, you have to remember that the clock's count of time is only accurate for the clock itself. It's not accurately tracking your time, not because the clock is inaccurate, but because the time you're experiencing isn't the same as the time the clock is experiencing.