Our latest measurements of varying alpha:


Indications of a Spatial Variation of the Fine Structure Constant                    John K. Webb, Julian A. King, Michael T. Murphy, Victor V. Flambaum, Robert F. Carswell, Matthew B. Bainbridge, Phys. Rev. Lett. 107, 191101, 2011. (http://link.aps.org/doi/10.1103/ and http://arxiv.org/abs/1008.3907)

and

Spatial variation in the fine-structure constant - new results from VLT/UVES Julian A. King, John K. Webb, Michael T. Murphy, Victor V. Flambaum, Robert F. Carswell, Matthew B. Bainbridge, Michael R. Wilczynska, F. Elliot Koch.  Published online MNRAS April 2012.(http://arxiv.org/abs/1202.4758)

Also see:

Manifestations of a spatial variation of fundamental constants on atomic clocks, Oklo, meteorites, and cosmological phenomena

by Julian Berengut, Victor Flambaum (http://xxx.lanl.gov/abs/1008.3957)

and

Is there further evidence for spatial variation of fundamental constants?

by Julian Berengut, Victor Flambaum, Julian King, Steve Curran, John Webb

Phys. Rev. D, 83:123506, (2011) (http://arxiv.org/abs/1009.0591)

and

Is there a spatial gradient in values of the fine-structure constant? A reanalysis of the results

by Julian Berengut, E.M. Kava, Victor Flambaum

Submitted to A&A March 2012 (http://xxx.lanl.gov/abs/1203.5891)