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English: A thought experiment related to one discussed by J. S. Bell (see Bell's spaceship paradox). Two observers in Minkowski spacetime accelerate with constant magnitude acceleration for proper time (acceleration and elapsed time measured by the observers themselves, not some inertial observer). They are comoving and inertial before and after this phase. As Bell pointed out, in Minkowski geometry, the length of the spacelike line segment AB′′ turns out to be greater than the length of the spacelike line segment AB.
Русский: Мысленный эксперимент, связанный с рассмотрением Дж. С. Беллом (см. Парадокс Белла). Два наблюдателя в пространстве-времени Минковского ускоряются с постоянной величиной ускорения за собственное время (ускорение и прошедшее время измеряются самими наблюдателями, а не сторонним инерциальным наблюдателем). Они являются сопутствующими и инерциальными до и после фазы ускорения. Как отметил Белл, в геометрии Минковского длина пространственноподобного отрезка AB′′ оказывается больше длины пространственноподобного отрезка AB.
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Source This svg image is a colored and labeled version of File:Bell observers experiment2.png by User:Hillman.
Author Prokaryotic Caspase Homolog

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Explanation of the Bell spaceship paradox

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