The modified Newtonian dynamics predicts an absolute maximum to the acceleration produced by "dark halos"

We have recently discovered that the modified Newtonian dynamics (MOND) implies some universal upper bound on the acceleration that can be produced by a "dark halo," which, in a Newtonian analysis, is assumed to account for the effects of MOND. Not surprisingly, the limit is on the order of the acceleration constant of the theory. This can be contrasted directly with the results of structure-formation simulations. The new limit is substantial and different from earlier MOND acceleration limits (discussed in connection with the MOND explanation of the Freeman law for galaxy disks and the Fish law for elliptical galaxies): it pertains to the "halo" and not to the observed galaxy; it is absolute and independent of further physical assumptions on the nature of the galactic system; and it applies at all radii, whereas the other limits apply only to the mean acceleration in the system.