Summary

DescriptionBell observers experiment2.png	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 ${\displaystyle k}$ acceleration for proper time ${\displaystyle \sigma }$ (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 A′B″ 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 ${\displaystyle k}$ за собственное время ${\displaystyle \sigma }$ (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 A′B″ "оказывается больше длины пространственноподобного отрезка AB.
Date	10 June 2006
Source	This png image was converted from a jpeg image made using Maple by User:Hillman.
Author	Hillman (talk) (Uploads)

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Original upload log

• 2017-06-11 09:15 Stigmatella aurantiaca 320×320× (13178 bytes) Aligned A' and B'. Cleaned up the more objectionable jpeg artifacts. Strengthened the primes.
• 2017-06-09 19:16 Stigmatella aurantiaca 320×320× (27504 bytes) Trimmed excess whitespace, otherwise unchanged from the version that Chris Hillman uploaded.
• 2006-05-10 18:17 Hillman 400×400× (29544 bytes)
• 2006-05-10 18:08 Hillman 400×400× (45996 bytes) 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 <math>k</math> acceleration for proper time <math>sigma</math> (acceleration and e