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Example of Twins Paradox explanations

     This example is from About Time by P. C. W. Davies, (1995, Simon & Schuster, 59-65). This explanation covers seven pages and provides a good insight into Davies' thinking. The following is from these pages.


THE PUZZLE OF THE TWINS

     So far so good. But now we hit a puzzle. If the motion of clocks is relative, then surely the time-dilation effect is also relative? Suppose we have two clocks, A and B, each in the lap of a human observer, moving relative to each other. In the reference frame of A, it is clock B that is moving, and hence slowed by time dilation. But in the reference frame of B, it is A that is moving, and therefore running slow. So each observer sees the other clock running slow! How can that be? It seems like a paradox. If A runs slow, it must fall behind clock B. But if B runs slow, A must gain relative to B. How can A be both behind and ahead of B at the same time? ...

     In fact, there is no paradox, as Einstein, who first raised the twins problem in passing in his 1905 paper, was quick to realize. The resolution comes from the fact that the two perspectives, Ann's and Betty's are actually not completely symmetric. To accomplish her trip, Betty must accelerate away from Earth, cruise at uniform speed for a while, then brake, turn around, accelerate again, cruise some more, and finally brake again to land on Earth. Ann merely remains immobile. All Betty's maneuvers, acceleration and deceleration, break the symmetry between the two sets of observations. The principle of relativity, remember, applies to uniform motion, not to accelerations. An acceleration is not relative; it is absolute. Taking this into account, it is Betty who ages less. On her return, Ann would be older.
     It is important to realize two things. First, the twins effect is a real effect, not just a thought experiment. Second, it has nothing to do with the effect of motion on the aging process. You must not imagine that the years spent in the rocket ship are somehow kinder to Betty on account of her confinement or movement through space.


     The above indicates that Davies believes that the cause of the decrease in aging of a traveling clock or twin is the "accelerations and decelerations" encountered during the trip. If accelerations were responsible for the decreased aging, then the amount of the constant-velocity travel time during the trip should have no bearing on the decrease in aging. This is not what Eq. (3) and special relativity say, nor it is consistent with experimental evidence. Both theory and experiment say that two clocks can make round trips with exactly the same accelerations and decelerations and cruise with exactly the same constant velocity relative to their home base clock, but if one of the clocks makes a longer trip, that clock will have aged less than the clock that made the shorter trip. The quantum medium view explains why this is so.
     Davies also states that the twins effect "... has nothing to do with the effect of motion on the aging process." The reader should now be aware of reasons to doubt this statement.

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