A new constraint on cosmological variability of the proton-to-electron mass ratio

Exotic cosmologies predict the variability of the fundamental physical constants over the cosmic time. Using the Very Large Telescope/Ultraviolet-Visual Echelle Spectrograph (VLT/UVES) high-resolution spectra of the quasar Q0347-3819 and unblended electronic-vibrational-rotational lines of the H-2 molecule identified at z(abs) = 3.025 we test possible changes in the proton-to-electron mass ratio mu(0) = m(p)/m(e) over the period of similar to11 Gyr. We obtained a new constraint on the time-averaged variation rate of mu(0) of \(mu) over dot/mu(0)\ < 5x10(-15) yr(-1) (1 sigma confidence level). The estimated 1 sigma uncertainty interval of the \Delta mu/mu(0)\ ratio of about 0.004 per cent implies that since the time when the H-2 spectrum was formed at z(abs) = 3.025, mu(0) has not changed by more than a few thousandths of a per cent.