I was thinking about the twin paradox and something came to my attention:

Say Person A is on earth and Person B gets in a rocket ship and flies off into space.

Now because of relativity, B's frame of reference will undergo time delation relative to A's frame of ref. because of B's motion relative to A.

But considering B's frame of reference, as B is on the rocket ship accelerating away from earth it would appear to him that A (standing on earth) would be the one accelerating away and B should see A's clock running slower than his own.

How can this be?

Maybe you should read more about the twin paradox. That's the whole point of it!

Yes, both A and B observe the other one's clocks to be running slower. They are perfectly symmetrical, as long as one doesn't do something (like changing reference frames, or entering a deep gravity well) to break the symmetry.

Here's a good link about the twin paradox (http://math.ucr.edu/home/baez/physics/Relativity/SR/TwinParadox/twin_paradox.html).

Keep in mind that B is accelerating relative to A and the space between A and B, whereas A is accelerating relative only to B. That's what's asymmetrical about their trips to affect B's clock such that it measures less less elapsed time than A's when compared side-by-side after B completes a round trip.