Possible Cosmological Implications of Time Varying Fine Structure Constant

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We make use of Dirac LNH and results for a time varying fine structure constant in order to derive possible laws of variation for speed of light, the number of nucleons in the Universe, energy density and gravitational constant. By comparing with experimental bounds on G variation, we find that the deceleration paramenter of the present Universe is negative. This is coherent with recent Supernovae observations.
Submitted to PRL. Rejected by the editor, after consulting two referees. We shall make eventual changes and resubmit to other journal very soon

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