A global correlation linking young stars, clouds, and galaxies. Towards a unified view of star formation

(abridged) The star formation rate (SFR) linearly correlates with the amount of dense gas mass (Mdg) involved in the formation of stars both for distant galaxies and clouds in our Galaxy. Similarly, the mass accretion rate (Macc) and the disk mass (Mdisk) of young, Class II stars are also linearly correlated. We plotted the corresponding observational data together, finding a statistically significant correlation that spans ~ 16 orders of magnitude. This probably represents one of the widest ranges of any empirical correlation known, encompassing galaxies that are several kpc in size, pc-size star-forming clouds within our Galaxy, down to young, pre-main sequence stars with au-size protoplanetary disks. We propose a bottom-up hypothesis suggesting that a relation between Macc and the total circumstellar mass surrounding Class 0/I sources (Mcs; disk+envelope) drives the correlation in protostellar-hosting clouds and cloud-hosting galaxies. This is consistent with the fact that the SFRs derived for clouds over a timescale of 2 Myr can be roughly recovered from the sum of instantaneous Macc values of the protostars embedded within them, implying that galactic SFRs averaged over ~ 10-100 Myr should be constant over this period too. Moreover, the sum of the Mcs values directly participating in the formation of the protostellar population in a cloud likely represents a non-negligible fraction of the Mdg within the cloud. If such fraction is ~ 1-35% of the Mdg associated with star-forming clouds and galaxies, then the global correlation for all scales has a near unity slope and an intercept consistent with the (proto-)stellar accretion timescale, Mcs/Macc. Therefore, an additional critical test of our hypothesis is that the Macc-Mdisk correlation for Class II stars should also be observed between Macc and Mcs for Class 0/I sources with similar slope and intercept.