I have always been confused about time dilation in General Relativity. In the twins paradox, it is the traveling twin that ages slower. However, could you not just as easily say that it is the non-traveling twin that is moving away from the other? So why is it the traveling twin and not the non-traveling twin that experiences the slowing of time relative to the other. One difference I can see between the two is that the traveling twin accelerated away from non-traveler. However, the time dilation continues even after the acceleration ceases (i.e. based on velocity, not acceleration). Another difference would have to do with velocity through an absolute space, but I thought that did not exist. Please forgive my ignorance, but clearly I am missing something fundamental here. Can anyone enlighten me?