Image:Langevin Frame Cyl Desynchronization.png

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Image:Langevin Frame Cyl Desynchronization.png

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[edit] Summary

This figure illustrates the desychronization of a clock transported around a rotating ring.

The gold light cones are the light cones of various Langevin observers in Minkowski spacetime. These observers rotate rigidly with angular velocity ω; in the figure, ω = 1/2. The frame vectors are shown as black rods. The axis of cylindrical symmetry, r = 0, is shows as a dashed green line. The z coordinate is inessential has been suppressed.

The red curve is the world line (a timelike nongeodesic curve) of a particular Langevin observer. The blue curve (a spacelike curve) and shows why the clocks of Langevin observers riding on a rotating ring cannot be globally synchronized.

This figure was created by User:Hillman using Maple to export a jpg image, then using eog to convert to png format.

[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.
Subject to disclaimers.

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(del) (cur) 23:16, 17 May 2006 . . Hillman (Talk | contribs) . . 400×400 (43,148 bytes) (This figure illustrates the ''desychronization'' of a clock transported around a rotating ring. The gold light cones are the light cones of various ''Langevin observers'' in Minkowski spacetime. These observers rotate rigidly with angular velocity &o)