The physical fundamental plane of black hole activity: revisited
  The correlation between the jet power and accretion disk luminosity is
investigated for active galactic nuclei (AGNs) and black hole X-ray binaries
(BHXBs) from the literature. The power-law correlation index is steep ($\mu
\sim$ 1.0--1.4) for radio loud quasars and the `outliers' track of BHXBs, and
it is flatter ($\mu \sim$ 0.3--0.6) for radio loud galaxies and the standard
track of BHXBs. The steep-index groups are mostly at higher accretion rates
(peaked at Eddington ratio $>$ 0.01) and the flatter-index groups are at
relatively low accretion rates (peaked at Eddington ratio $<$ 0.01), implying
that the former groups could be dominated by the inner disk accretion of black
hole, while the jet in latter groups would be a hybrid production of the
accretion and black hole spin. We could still have a fundamental plane of black
hole activity for the BHXBs and AGNs with diverse (maybe two kinds of)
correlation indices. It is noted that the fundamental plane of black hole
activity should be referred to the correlation between the jet power and disk
luminosity or equivalently to the correlation between jet power, Eddington
ratio and black hole mass, rather than the jet power, disk luminosity and black
hole mass.
