2017MNRAS.470.1101W

Previous works showed a correlation among radio luminosity, X-ray luminosity and black hole (BH) mass from stellar-mass BHs in X-ray binaries to supermassive BHs in active galactic nuclei, which leads to the so-called Fundamental Plane of BH activity. However, there are two competing explanations for this Fundamental Plane, including the jet-dominated model and the disc-jet model. Thus, the physical origin of this Fundamental Plane remains unknown. In this paper, we show that the X-ray luminosities, radio luminosities and BH masses of gamma-ray bursts (GRBs) and M82 X-1 also show a similar distribution. The universal scaling law among stellar-mass, intermediate and supermassive BH systems, together with the fact that the radio and X-ray emission of GRBs originates from relativistic jets, reveals that the Fundamental Plane of BH activity is controlled by a jet, i.e. the radio and X-ray emission is mainly from the jet. Our work also suggests that the jets are scale-invariant with respect to the BH mass.