We present a set of new generalized kinematic imbalance variables that can be
measured in neutrino scattering. These variables extend previous measurements
of kinematic imbalance on the transverse plane, and are more sensitive to
modeling of nuclear effects. We demonstrate the enhanced power of these
variables using simulation, and then use the MicroBooNE detector to measure
them for the first time. We report flux-integrated single- and
double-differential measurements of charged-current muon neutrino scattering on
argon using a topolgy with one muon and one proton in the final state as a
function of these novel kinematic imbalance variables. These measurements allow
us to demonstrate that the treatment of charged current quasielastic
interactions in GENIE version 2 is inadequate to describe data. Further, they
reveal tensions with more modern generator predictions particularly in regions
of phase space where final state interactions are important