  We propose the concept of MoNDian dark matter which behaves like cold dark
matter at cluster and cosmic scales but emulates modified Newtonian dynamics at
the galactic scale. The connection between global physics and local galactic
dynamics is implemented via entropic gravity. We also give an alternative
formulation of MoNDian dark matter by using an effective gravitational
Born-Infeld theory. In the latter approach, we show that the quanta of MoNDian
dark matter obey infinite statistics.
