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A remarkably tight relation is observed between the Newtonian gravity sourcedby the baryons and the actual gravity in galaxies of all sizes. This can beinterpreted as the effect of a single effective force law depending onacceleration. This is however not the case in larger systems with much deeperpotential wells, such as galaxy clusters. Here we explore the possibility of aneffective force law reproducing mass discrepancies in all extragalactic systemswhen depending on both acceleration and the depth of the potential well. Weexhibit, at least at a phenomenological level, one such possible constructionin the classical gravitational potential theory. Interestingly, the framework,dubbed EMOND, is able to reproduce the observed mass discrepancies in bothgalaxies and galaxy clusters, and to produce multi-center systems with offsetsbetween the peaks of gravity and the peaks of the baryonic distribution.

Unifying all mass discrepancies with one effective gravity law?