A universal relationship between stellar masses and binding energies of
  galaxies
  In this study we demonstrate that stellar masses of galaxies (Mstar) are
universally correlated through a double power law function with the product of
the dynamical velocities (Ve) and sizes to one-fourth power (Re^0.25) of
galaxies, both measured at the effective radii. The product VeRe^0.25
represents the fourth root of the total binding energies within effective radii
of galaxies. This stellar mass-binding energy correlation has an observed
scatter of 0.14 dex in log(VeRe^0.25) and 0.46 dex in log(Mstar). It holds for
a variety of galaxy types over a stellar mass range of nine orders of
magnitude, with little evolution over cosmic time. A toy model of
self-regulation between binding energies and supernovae feedback is shown to be
able to reproduce the observed slopes, but the underlying physical mechanisms
are still unclear. The correlation can be a potential distance estimator with
an uncertainty of 0.2 dex independent of the galaxy type.
