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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 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'''&prime;'''B'''&Prime; 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]].
 
 
 
 
 
| source      = {{own}}
| date        = 10 May 2006
| author      = [[User:Hillman|Hillman]] ([[User talk:Hillman|talk]]) ([[Special:ListFiles/Hillman|Uploads]])
}}
{{ShouldBeSVG|graph}}
== 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 <math>k</math> acceleration for proper time <math>\sigma</math> (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'''&prime;'''B'''&Prime; 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]].
 
== Licensing ==
{{GFDL-self-with-disclaimers|migration=relicense}}
 
{{Copy to Wikimedia Commons|bot=Fbot|priority=true}}

Latest revision as of 23:11, 28 March 2014

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