  The extension of Non-Relativistic-to-Covariant classification scheme seems to
be an urgent problem in the Hadron Spectroscopy. Here are given the recent
results of our research. 1) Brief history of our way of the extension on
Kinematical Frameworks: from SU(2)_{sigma} $\otimes$ O(3)_{L} to U (4)_{DS,m}
(Tensor-space of Dirac Spinor with the static unitary symm. SU(2)_{m}, which is
new Mass-Reversal symm. reflecting the situation of Q.C.) $\otimes O(2)_{r\perp
v}$ (2-dim. internal spatial-vector r vertical to Boost-velocity v, embedded in
the O(3,1)_{Lorentz}). Also is brought in Cov. scheme the thus far Overlooked
Chirality Symm. of QCD/Stand. Gauge Model. 2) Propertime tau-Quantum Mechanics
for Conf. Q. System and Quantization of Comp. Hadron field is developed. The
similar to conventional procedures are performed in Lorentz-Inv. Particle Frame
(Galilean Inertial Frame with v=const) which becomes Lorentz-Cov. Observer F.,
when v=0. The one notable feature of the tau-Q.M. is concerned only
future-development, inducing the Crossing Rule; the other also inducing
Existence of the Chiral-Quark (JP=(1/2)-) in addition to Pauli-Quark
(JP=(1/2)+), which is Origin of SU(2)_m-symm., leading to Existence of
New-Exotics. 3) Evolved framework of hadron spectroscopy guided by tau-Q.M. is
summarized: Especially, "Regge Trajectories", in qqbar meson system are given
by $M^2$ vs. $\hat{N}(n,l)$; $M^2=M_{0}^2+N \Omega$ (N=2n+l), Intrinsic spin of
Comp. Hadrons J=S, where Orbital l contributes only to N. 4) New Classif.
scheme is applied to Phenomenology of Bottomonium System.As a result is shown
Remarkable Fact, including a serious Problem in the N.R. scheme, concerned on
Spin-Flip Mechanism of Heavy Quarks, seems to disappear in our scheme. This
seems to suggest that the phenomenological knowledge,thus far obtained
resorting on N.R.scheme, should be reexamined from the covariant one.
