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Originally Posted by trinitree88
Madman. I believe you missed a key point in the twins paradox. The situation is not symmetrical. One twin remains "home" at rest. The other accelerates to a high velocity....travels at constant velocity for an extended period of time.....accelerates in a turn 180 degrees.....travels back same distance...and then must decelerate to meet his/her brother/sister in the original reference frame. The kinematics are not symmetrical, and the consequences of the asymmetry in their experienced forces is intimately involved in real time dilation. Try Max Born's paperback book "The Special Theory of Relativity" by Dover books....gives the entire turn of the century treatise in a very lucid manner....including the almost never mentioned....transverse Doppler shift. Ciao. Pete.
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I think most treatments of the twin paradox assume that one twin is already moving - the first acceleration you mentioned isn't considered, only the turnaround.