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There are obvious discrepancies among various experimental constraints on thevariation of the fine-structure constant, $\alpha$. We attempt to discuss theissue in the framework of de Sitter invariant Special Relativity (${\calSR}_{c,R}$) and to present a possible solution to the disagreement. Inaddition, on the basis of the observational data and the discussions presentedin this Letter, we derive a rough theoretical estimate of the radius of theUniverse.Comment: 8 pages, no figure

Variation of the fine-structure constant from the de Sitter invariant special relativity