MOND laws of galactic dynamics

Abstract

MOND predicts a number of laws that galactic systems should obey irrespective\nof their complicated, haphazard, and mostly unknowable histories -- as Kepler's\nlaws are obeyed by planetary systems. The main purpose of this work is to show\nhow, and to what extent, these MOND laws follow from only the paradigm's basic\ntenets: departure from standard dynamics at accelerations a<~a0, and space-time\nscale invariance in the limit a<<a0. Such predictions will be shared by all\nMOND theories that embody these premises. This is important because we do not\nknow which of the existing MOND theories, if any, is a step in the right\ndirection. In the Newtonian-dynamics-plus-dark-matter paradigm, the validity of\nsuch clear-cut laws -- which tightly constrain baryons, `dark matter', and\ntheir mutual relations -- is contrary to expectations.\n