  So far the only seemingly significant indication of a cosmological variation
exists for the proton-to-electron mass ratio as stated by Reinhold et al.
(2006). The measured indication of variation is based on the combined analysis
of H2 absorption systems in the spectra of Q0405-443 and Q0347-383 at z=2.595
and z=3.025, respectively. The high resolution data of the latter is reanalyzed
in this work to examine the influence of different fitting procedures and
further potential nonconformities. This analysis cannot reproduce the
significance achieved by the previous detection.
