Universal MOND relation between the baryonic and `dynamical' central
  surface densities of disc galaxies
  I derive a new MOND relation for pure-disc galaxies: The `dynamical' central
surface density, $\Sigma^0_D$, deduced from the measured velocities, is a
universal function of only the true, `baryonic' central surface density,
$\Sigma^0_B$: $\Sigma^0_D=\Sigma_M \mathcal{S}(\Sigma^0_B/\Sigma_M)$, where
$\Sigma_M\equiv a_0/2\pi G$ is the MOND surface density constant. This
surprising result is shown to hold in both existing, nonrelativistic MOND
theories. $\mathcal{S}(y)$ is derived: $\mathcal{S}(y)=\int_0^y\nu(y')dy'$,
with $\nu(y)$ the interpolating function of the theory. The relation aymptotes
to $\Sigma^0_D=\Sigma^0_B$ for $\Sigma^0_B\gg\Sigma_M$, and to
$\Sigma^0_D=(4\Sigma_M\Sigma^0_B)^{1/2}$ for $\Sigma^0_B\ll\Sigma_M$. This
study was prompted by the recent finding of a correlation between related
attributes of disc galaxies by Lelli et al. (2016). The MOND
central-surface-densities relation agrees very well with these results.
