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Let’s get one more perspective on the twin paradox. It is always interesting to ask what each twin sees during the trip. Now, note that what you actually see has to do with light rays, and with when a bit of light happens to reach your eye. So, to study this question, we should study light rays sent from one twin to the other. We will again have Gaston go off to Alpha Centauri (4 light-years away) and back at .8c while Alphonse stays at home. (a) Let’s first think about what Gaston (the traveling twin) sees. Start by drawing a spacetime diagram for the trip in any inertial frame (itis easiest to use Alphonse’s frame of reference). Now, suppose that Alphonse emits one light ray every year (according to his own proper time). Draw these light rays on the diagram. How many of these light rays does Gaston see on his way out?
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