Abstract
A brief review of theoretical models explaining the variation in the fine structure constant α in space and time is given. A method is described for constructing models in which variations in α and other fundamental physical constants, including the gravitational constant G, follow from the dynamics of extra space-time dimensions in the framework of a multidimensional theory of gravitation that is nonlinear with respect to curvature. An explicit example of such a model is constructed for explaining the observed spatial and temporal variations in α.
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