A Universal fundamental plane and the $M_{dyn}-M_{\star}$ relation for
  galaxies with CALIFA and MaNGA
  We use the stellar kinematics for $2458$ galaxies from the MaNGA survey to
explore dynamical scaling relations between the stellar mass $M_{\star}$ and
the total velocity parameter at the effective radius, $R_e$, defined as
$S_{K}^{2}=KV_{R_e}^{2}+\sigma_{\star_e}^{2}$, which combines rotation velocity
$V_{R_e}$, and velocity dispersion $\sigma_{\star_e}$. We confirm that
spheroidal and spiral galaxies follow the same $M_{\star}-S_{0.5}$ scaling
relation with lower scatter than the $M_{\star}-V_{R_e}$ and
$M_{\star}-\sigma_{\star_e}$ ones. We also explore a more general Universal
Fundamental Plane described by the equation $log(\Upsilon_{e}) = log
(S_{0.5}^{2}) - log (I_{e}) - log (R_{e}) + C$, which in addition to
kinematics, $S_{0.5}$, and effective radius, $R_e$, it includes surface
brightness, $I_e$, and dynamical mass-to-light ratio, $\Upsilon_e$. We use
sophisticated Schwarzschild dynamical models for a sub-sample of 300 galaxies
from the CALIFA survey to calibrate the so called Universal Fundamental Plane.
That calibration allows us to propose both: (i) a parametrization to estimate
the difficult-to-measure dynamical mass-to-light ratio at the effective radius;
and (ii) a new dynamical mass proxy consistent with dynamical models within
$0.09\ dex$. We reproduce the relation between the dynamical mass and the
stellar mass in the inner regions of galaxies. We use the estimated dynamical
mass-to-light ratio from our analysis, $\Upsilon_{e}^{fit}$, to explore the
Universal Fundamental Plane with the MaNGA data set. We find that all classes
of galaxies, from spheroids to disks, follow this Universal Fundamental Plane
with a scatter significantly smaller $(0.05\ dex)$ than the one reported for
the $M_{\star}-S_{0.5}$ relation $(0.1\ dex)$, the Fundamental Plane $(\sim
0.09\ dex)$ and comparable with Tully-Fisher studies $(\sim 0.05\ dex)$, but
for a wider range of galaxy types.
