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Evolution of the fine structure constant driven by dark matter and the cosmological constant

Evolution of the fine structure constant driven by dark matter and the cosmological constant

Bekenstein's model of a scalar field, \phi, that affects the electromagnetic permeability (usually identified with ``changing \alpha'') predicts tiny variations of the effective fine structure constant up to very high red-shifts, |\alpha(z=3.5)/\alpha_0-1| < 10^{-10}, when the constraints from E\"otv\"os-Dicke-Braginsky types of experiments are imposed. We generalize this model by allowing …