Val,
P.S.
Even if we assume only two bodies in the universe, i.e. the Earth with the twin and the rocket, there is still a solution to the problem of who will be effected by the time dilation. Because one individual is in fact stationary and one is not. That solution is as stated in the previous posts, the twin who has to slow down and turn around (an effect that could be measured) will be the one who has felt the effects of time dilation. It just does not matter how many other bodies are around. If there is two or two billion, this still remains a nonparadox because there is the above solution which is stated in many textbooks.
P.S.
Even if we assume only two bodies in the universe, i.e. the Earth with the twin and the rocket, there is still a solution to the problem of who will be effected by the time dilation. Because one individual is in fact stationary and one is not. That solution is as stated in the previous posts, the twin who has to slow down and turn around (an effect that could be measured) will be the one who has felt the effects of time dilation. It just does not matter how many other bodies are around. If there is two or two billion, this still remains a nonparadox because there is the above solution which is stated in many textbooks.