A constraint on a varying proton--electron mass ratio 1.5 billion years after the Big Bang
J. Bagdonaite (1), W. Ubachs (1), M. T. Murphy (2), J. B. Whitmore (2), ((1) VU University Amsterdam, Netherlands (2) Swinburne University of, Technology, Australia)

TL;DR
This study uses high-resolution quasar spectra from 12.4 billion years ago to constrain possible variations in the proton-electron mass ratio, finding no significant deviation from current values.
Contribution
It provides one of the earliest constraints on the variation of the proton-electron mass ratio using molecular hydrogen absorption at high redshift.
Findings
No significant variation detected in μ over 12.4 billion years.
Achieved a limit of Δμ/μ = (-9.5 ± 5.4_stat ± 5.3_sys) × 10^{-6}.
Utilized high-resolution VLT spectra of quasar J1443+2724.
Abstract
A molecular hydrogen absorber at a lookback time of 12.4 billion years, corresponding to 10 of the age of the universe today, is analyzed to put a constraint on a varying proton--electron mass ratio, . A high resolution spectrum of the J14432724 quasar, which was observed with the Very Large Telescope, is used to create an accurate model of 89 Lyman and Werner band transitions whose relative frequencies are sensitive to , yielding a limit on the relative deviation from the current laboratory value of .
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