Scalar potential model of galaxy central mass and central velocity dispersion

The galaxy central mass $M_\mathrm{c}$ and central velocity dispersion $\sigma_\mathrm{c}$ have been found to correlate with large scale galaxy parameters for samples of galaxies with a limited range of characteristics. A scalar potential model (SPM) that derived from considerations of galaxy clusters, of redshift, of discrete redshift, of H{\scriptsize{I}} rotation curves (RCs) of spiral galaxies and of RC asymmetry is applied to central region parameters. The $\sigma_\mathrm{c}$ and $M_\mathrm{c}$ are found to correlate to the host galaxy's and neighboring galaxy's B band luminosity. The sample included galaxies with rising, flat and declining RCs; galaxies with a wide range of characteristics; and galaxies excluded from samples of other studies of $\sigma_\mathrm{c}$ relationships. The equations have the same form as the SPM equations for the parameters of the H{\scriptsize{I}} RCs. Because the SPM is consistent with $M_\mathrm{c}$ and $\sigma_\mathrm{c}$ observations of the sample galaxies, the Sources and Sinks act as monopoles at the center of the galaxies around them. This suggests the outward scalar potential force of a Source holds the $M_\mathrm{c}$ from collapse into a supermassive black hole.