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At the redshifts under investigation (2.1 \u2272 z \u2272 2.7), the Lyman forests along the two sightlines are separated by sub-kiloparsec physical distances and exhibit a strong correlation. We find that the two forests are indistinguishable at the present level of signal-to-noise ratio and do not show any global velocity shift, with the cross-correlation peaking at \u0394v\u00a0= 12\u00a0\u00b1\u00a048 $\\rm m~s^{-1}$. The distribution of the difference in velocity of individual Ly\u00a0\u03b1 features is compatible with a null average and a mean absolute deviation of 930 $\\rm m~s^{-1}$. Significant differences in NH\u00a0i column density are not detected, putting a limit to the RMS fluctuation in the baryon density on \u22721 proper kpc scales of \u0394\u03c1\/\u03c1 \u2272 3\u00a0per cent. On the other hand, metal lines show significant differences both in velocity structure and in column density. A toy model shows that the difference in velocity of the metal features between the two sightlines is compatible with the motions of the baryonic component associated with dark matter haloes of typical mass M \u2243 2\u00a0\u00d7\u00a01010\u00a0M\u2299, also compatible with the observed incidence of the metal systems. The present observations confirm the feasibility of the Sandage test of the cosmic redshift drift with high-fidelity spectroscopy of the Lyman forest of distant, bright quasars, but also provide an element of caution about the intrinsic noise associated with the usage of metal features for the same purpose.<\/jats:p>","DOI":"10.1093\/mnras\/stae432","type":"journal-article","created":{"date-parts":[[2024,2,9]],"date-time":"2024-02-09T22:16:10Z","timestamp":1707516970000},"page":"6845-6860","source":"Crossref","is-referenced-by-count":4,"title":["Probing the small-scale structure of the intergalactic medium with ESPRESSO: spectroscopy of the lensed QSO UM673"],"prefix":"10.1093","volume":"528","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2115-5234","authenticated-orcid":false,"given":"Stefano","family":"Cristiani","sequence":"first","affiliation":[{"name":"INAF \u2013 Osservatorio Astronomico di Trieste , via G.B. 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