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A fundamental plane of black hole activity
Define the instantaneous state of activity of a black hole of mass M by its core radio luminosity at 5 GHz and by its X-ray luminosity in the 2-10 keV band;
Represent such an object as a point in the 3D space (log LR, log LX, log M)
Then all the points representing different black holes will lie preferentially on a plane (although with substantial scatter: R=0.88 dex)
The equation that defines the plane is the following