If Nikita was on earth and her twin Atikin was on a very fast journey into space, then from Atikin's perspective Nikita's clock is ticking slower and from Nikita's perspective Atikin's clock is ticking slower. Consequentially they both believe that the other will be younger when they meet on Atikin's return. But they both cannot be younger; this is the twin paradox.
In reality, Atikin will be younger because, for Atikin, to attain that velocity, she must accelerate and before turning to return, she must decelerate. Again, on the return journey she must accelerate to attain that velocity and decelerate on returning to earth. Therefore, she is no longer in an inertial frame of reference. In the accelerating frame of reference, time appears to be ticking slower to an observer in it; therefore, Atikin will be younger on returning to earth.
In order to resolve the twin paradox the general theory of relativity was developed.
Haefele Keating Experiment:
from: http://www.youtube.com/watch?v=cmPebZA2ZdI
Questions:
from Hienneman:
IB:
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