Journal ArticleDOI
The case of the identically accelerated twins
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In this paper, a variation on the twin paradox of special relativity is presented where twins undergo the same acceleration for the same length of time, yet they age differently, and it is shown that the acceleration experienced by a relativistic traveler is directly related to the rate at which that traveler ages.Abstract:
A variation on the ‘‘twin paradox’’ of special relativity is presented wherein twins undergo the same acceleration for the same length of time, yet they age differently. Although this problem is simple to solve, it gets to the heart of the behavior of clocks in special relativity and, hopefully, will help to dispel the notion students develop that the acceleration experienced by a relativistic traveler is directly related to the rate at which that traveler ages.read more
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Journal ArticleDOI
Differential aging from acceleration: An explicit formula
TL;DR: In this paper, the authors considered a clock paradox where an observer leaves an inertial frame, is accelerated, and after an arbitrary trip returns, and discussed a simple equation that gives an explicit relation in 1+1 dimensions between the time elapsed in the inertial frames and the acceleration measured by the accelerating observer during the trip.
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The twin paradox and space topology
Jean-Philippe Uzan,Jean-Philippe Uzan,Jean-Philippe Uzan,Jean-Pierre Luminet,R. Lehoucq,Patrick Peter,Patrick Peter +6 more
TL;DR: In this article, the asymmetry between trajectories of spacetime trajectories lies in a topological invariant of their spatial geodesics, namely the homotopy class, and the symmetry invariance group is broken down globally as soon as some points of space are identified.
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How do two moving clocks fall out of sync? A tale of trucks, threads, and twins
TL;DR: The thread-between-spaceships paradox and the Bell spaceship paradox have been investigated in this paper, showing that a pair of clocks synchronized in their own reference frame are not synchronized in another.
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Einstein and the twin paradox
TL;DR: Einstein was the first to discuss and resolve the "twin paradox", which in 1905 he did not consider paradoxical and treated as a consequence of lack of simultaneity as mentioned in this paper.However, in 1918 Einstein brought forward arguments about accelerated frames of reference that tended to overshadow his initial resolution.
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The role of acceleration and locality in the twin paradox
TL;DR: In this paper, the role of acceleration in the twin paradox was studied from the point of view of an accelerated observer, and it was shown that the rate of the differential lapses of time depends not only on the relative velocity, but also on the product of the acceleration and the distance between the observers.