  A new model of jet quenching in nuclear collisions, CUJET3.0, is constructed
by generalizing the perturbative QCD based CUJET2.0 model to include two
complementary non-perturbative features of the QCD confinement cross-over phase
transition near $T_c\approx 160$ MeV: (1) the suppression of quark and gluon
degrees of freedom and (2) the emergence of chromo-magnetic monopole degrees of
freedom. Such a semi-Quark-Gluon-Monopole Plasma (sQGMP) microscopic scenario
is tested by comparing predictions of the leading hadron nuclear modification
factors, $R^h_{AA}(p_T>10{\rm GeV/c},\sqrt{s})$, and their azimuthal elliptic
asymmetry $v^h_2(p_T>10{\rm GeV/c},\sqrt{s})$ with available data on
$h=\pi,D,B$ jet fragments from nuclear collisions at RHIC($\sqrt{s}=0.2$ ATeV)
and LHC($\sqrt{s}$=2.76 ATeV). The sQGMP model is shown to solve the long
standing $R_{AA}$ vs $v_2$ puzzle by predicting a maximum of the jet quenching
parameter field $\hat{q}(E,T)/T^3$ near $T_c$. The consistency of jet quenching
with observed bulk perfect fluidity is demonstrated by extrapolating the sQGMP
$\hat{q}$ down to thermal energy $E\sim 3 T$ scales and showing that the sQGMP
shear viscosity to entropy density ratio $\eta/s \approx T^3/\hat{q}$ falls
close to the unitarity bound, $1/4\pi$, in the range $(1-2)T_c$. Detailed
comparisons of CUJET2.0 and CUJET3.0 reveal that the remarkably different
$\hat{q}(T)$ could be consistent with the same $R_{AA}$ data and could only be
distinguished by anisotropy observables. These findings demonstrate clearly the
inadequacy of focusing on the jet path averaged quantity $<\hat{q}>$ as the
only relevant medium property to characterize jet quenching, and point to the
crucial roles of other essential factors, such as the chromo electric and
magnetic composites of the plasma, the screening masses and the running
couplings at multiple scales that all strongly influence jet energy loss.
