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Titlebook: Relativity in Rotating Frames; Relativistic Physics Guido Rizzi,Matteo Luca Ruggiero Book 2004 Springer Science+Business Media Dordrecht 20

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Space Geometry in Rotating Reference Frames: A Historical Appraisale conceptual evolution of this topic from Ehrenfest and Einstein to the present time. In particular we emphasize the importance of taking the relativity of simultaneity properly into account in order to obtain a full understanding of the issues connected with Ehrenfest’s paradox.
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Space, Time and Coordinates in a Rotating Worldn the course of our discussion we comment on a number of related issues, such as the question of whether a consideration of the behavior of rods and clocks is indispensable for the foundation of kinematics, the influence of acceleration on the behavior of measuring devices, the conventionality of simultaneity, and the Ehrenfest paradox.
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Uniform Rotation of Rigid Bodies and the Theory of Relativityas we obtain the following statement:.To say that a body remains relativistically rigid means: it deforms continuously by arbitrary motion so that each of its infinitesimal elements Lorentz contract (relative to its rest length) all the time in accordance with the instantaneous velocity of each of i
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