We examine the fundamental question of velocity measurements in astrophysics. We show that following the way these measurements are interpreted, a lot of phenomena appealing for various and distinct paradigms such as dark matter, wave density for the spiral galaxies, superluminal velocities in jets of active galaxies and "sleeping" black holes could strongly be correlated between them and eventually could stem from an unique paradigm. A test to validate (or not) this paradigm is supplied. The new paradigm does not alter the phenomena at the scale of a planetary system, nor does it modify the conclusions based on the standard model of cosmology as for the age of the Universe, its size, the chain of processes leading to the formation of first stars and galaxies. The interest of this paradigm is that it does not introduce a new physics (in the sense that the physics laws are essentially local and very well supported at the laboratory level), nor a new particle species as usually proposed elsewhere. The non-appeal to various exotic physics with no support in Earth laboratory experiments seems to be a positivist view. The present model is also a nice application of the notion of asymmetric distances to the field of astrophysics.