Trinity VI: connection between galaxy star formation rates and supermassive black hole accretion rates from z = 0 − 10

We infer supermassive black hole (SMBH) accretion rates and Eddington ratios as a function of SMBH/host galaxy mass and redshift with the empirical Trinity model of dark matter halo-galaxy-SMBH connection. The galaxy-SMBH mass and growth rate connection from Trinity match galaxy observables from and SMBH observables from. Key findings include: (1) the ratio between cosmic SMBH accretion rate and galaxy star formation rate stays constant at from, and decreases by 2 orders of magnitude from; (2) the average SMBH Eddington ratio increases towards higher redshifts, nearly reaching at; (3) at fixed redshift for, SMBHs/galaxies with higher masses have lower, consistent with active galactic nucleus (AGN) downsizing; (4) the average ratio of specific SMBH accretion rate to average specific star formation rate is nearly mass-independent, with a value, which decreases slightly from to; (5) similar to galaxies, SMBHs reach their peak efficiency to convert baryons into mass when host haloes reach; (6) given galaxy and SMBH growth histories from Trinity, the local descendants of overmassive JWST AGNs will remain outliers from the local SMBH mass-galaxy mass relation. These findings combine to give a simple explanation for massive quasars at: at these redshifts, dark matter haloes grow with an e-folding time of Myr, driving similar growth in both galaxies and SMBHs.