The ``twin paradox in relativistic rigid motion
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Publication:2835954
DOI10.1088/0143-0807/37/5/055601zbMATH Open1349.83004arXiv1701.02731OpenAlexW2432289454MaRDI QIDQ2835954
Publication date: 30 November 2016
Published in: European Journal of Physics (Search for Journal in Brave)
Abstract: Relativistic rigid motion suggests a new version for the so-called `twin paradox', comparing the ages of two astronauts on a very long spaceship. Although there is always an instantaneous inertial frame in which the whole spaceship, being rigid, is simultaneously at rest, the twins' ages, measured as the proper-times along their individual world lines, are different when they are located at remote parts of the spaceship. The age, or proper-time, difference depends on the distance at rest between the astronauts and the rapidity difference between start to end. The relation of the age difference with the relative Doppler shift of light signals transmitted between the astronauts, and implications for the possibility to assign common age (proper-time) to complex, spatially extended, relativistic systems, are also discussed. The condition for simultaneous arrival of light signals emitted simultaneously from the opposite ends of a rigidly accelerating spaceship is resolved.
Full work available at URL: https://arxiv.org/abs/1701.02731
rapiditytwin paradoxproper-timeextended relativistic systemsrelativistic agerelativistic rigid motion
Related Items (2)
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