  Kalberla et al. used HI4PI data to analyze velocity and density fluctuations
in the interstellar medium (ISM). They applied the Yuen et al. (2021) velocity
decomposition algorithm (VDA) for separating such fluctuations in the
position-position-velocity (PPV) space. In the first version of this manuscript
they came to the conclusion that velocity and density fields are statistically
correlated. Yuen et al. (2021) tried to reproduce these results and pointed to
a likely mistake in the VDA expression that was used. We confirm that there was
such a software problem. The statement that VDA derived density and velocity
fields from HI4PI are anti-correlated needs to be withdrawn. Correct is that
these density and velocity fields are uncorrelated. In turn major parts of the
conclusions in the first version of this manuscript, based on an erroneous
correlation, are invalid. The submission to A&A was withdrawn on 24 February
2022.
