- #71
Ponder Stibbons
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Spacebound twin shifts reference frames
Ignoring periods of acceleration, the spacebound twin's journey involves two inertial reference frames: One leaving, one returning. So there's three reference frames you're likely to want to consider things from.
From the earthbound reference frame, the earthbound twin undergoes no time-dilation and the spacebound twin undergoes some each way. (I say undergoes because you don't experience it, you see it happening to others.) The spacebound twin is x years younger on return.
From the departing reference frame, the earthbound twin undergoes constant time-dilation. The spacebound twin initially undergoes no TD, then undergoes MORE TD than the earthbound one on the return leg, and is x years younger on catching up with Earth.
From the inbound reference frame, the earthbound twin undergoes constant TD. The spacebound twin initially undergoes more TD, so much that even though he/she/it undergoes no TD on the return leg he/she/it is still x years younger than the earthbound twin when Earth arrives.
See? No paradox - unless you didn't know you had a twin!
Ignoring periods of acceleration, the spacebound twin's journey involves two inertial reference frames: One leaving, one returning. So there's three reference frames you're likely to want to consider things from.
From the earthbound reference frame, the earthbound twin undergoes no time-dilation and the spacebound twin undergoes some each way. (I say undergoes because you don't experience it, you see it happening to others.) The spacebound twin is x years younger on return.
From the departing reference frame, the earthbound twin undergoes constant time-dilation. The spacebound twin initially undergoes no TD, then undergoes MORE TD than the earthbound one on the return leg, and is x years younger on catching up with Earth.
From the inbound reference frame, the earthbound twin undergoes constant TD. The spacebound twin initially undergoes more TD, so much that even though he/she/it undergoes no TD on the return leg he/she/it is still x years younger than the earthbound twin when Earth arrives.
See? No paradox - unless you didn't know you had a twin!