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[edit] Summary

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 $k$ acceleration for proper time $σ$ (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.

This png image was converted by eog from a jpeg image made using Maple by User:Hillman.

[edit] Licensing

I, the creator of this work, hereby grant the permission to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts.
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(del) (cur) 18:17, 10 May 2006 . . Hillman (Talk | contribs) . . 400×400 (29,544 bytes)
(del) (rev) 18:08, 10 May 2006 . . Hillman (Talk | contribs) . . 400×400 (45,996 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)