Special Relativity in a Periodic Universe

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SUMMARY

The discussion focuses on the application of special relativity within a periodic universe, specifically modeled as a cylinder. Key topics include the twin paradox involving two inertial observers and the implications of periodic spatial dimensions on time dilation. A referenced paper from the American Journal of Physics explores the resolution of the twin paradox in a closed universe, emphasizing the transport of inertial frames in spacetime. Participants seek additional resources and examples related to these concepts.

PREREQUISITES
  • Understanding of special relativity principles
  • Familiarity with the twin paradox scenario
  • Knowledge of periodic spatial dimensions in physics
  • Basic grasp of inertial frames and time dilation
NEXT STEPS
  • Research the twin paradox in closed universes using the American Journal of Physics
  • Explore mathematical models of periodic universes, particularly cylindrical models
  • Investigate the effects of periodic spatial dimensions on time dilation
  • Study the transport of inertial frames in spacetime
USEFUL FOR

Students and researchers in theoretical physics, particularly those interested in special relativity, cosmology, and the implications of periodic spatial dimensions on time and motion.

beardless2
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Im doing a project this yr on the title in the subject and i have been struggling to find information on this problem when using a PERIODIC universe. It would be very useful for me in anyone can post any links to websites/acrobat reader docs regarding this.

I have found one where the universe was modeled as a cylinder and the twin paradox used on it where twin A stays at home so travels straight up the cylinder and twin B travels around the cylinder and eventually crosses twin A's path. so anymore examples like this would be great

Topics to be considered are:

*How can special relativity be formulated in a universe in which a spatial dimension is periodic (ie cylinder)

*twin paradox: What do the clocks of these two inertial observers show at each pass?

*Two general inertial oberservers:

*One inertial observer and light rays:

Thanx in advance

Beardless
 
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I read a paper last summer which discussed the resolution of the Twin Paradox in a closed universe. It was in Am J. Phys (American Journal of Physics), but unfortunately I can't find the exact reference. It was also rather mathematically complex, so you may find it difficult to follow (depending on your level). The upshot of the paper, though, was that the TP was not a paradox again, due to certain ways which inertial frames were transported in the spacetime.
 
would that happen to be the 1990 edition one? - as i have seen that and was looking for more. I really look for stuff on the difference it makes to time dilation when having a closed universe.
 

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