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.
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