Splitting techniques on timelike congruences in GR yield local Minkowski descriptions, with Newtonian gravity arising as an effect of non-geodesic reference frame paths.
The Relative Space: Space Measurements on a Rotating Platform
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We introduce here the concept of relative space, an extended 3-space which is recognized as the only space having an operational meaning in the study of the space geometry of a rotating disk. Accordingly, we illustrate how space measurements are performed in the relative space, and we show that an old-aged puzzling problem, that is the Ehrenfest's paradox, is explained in this purely relativistic context. Furthermore, we illustrate the kinematical origin of the tangential dilation which is responsible for the solution of the Ehrenfest's paradox.
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Physics is simple only when analyzed locally
Splitting techniques on timelike congruences in GR yield local Minkowski descriptions, with Newtonian gravity arising as an effect of non-geodesic reference frame paths.