Dark Matter, Infinite Statistics and Quantum Gravity
  We elaborate on our proposal regarding a connection between global physics
and local galactic dynamics via quantum gravity. This proposal calls for the
concept of MONDian dark matter which behaves like cold dark matter at cluster
and cosmological scales but emulates modified Newtonian dynamics (MOND) at the
galactic scale. In the present paper, we first point out a surprising
connection between the MONDian dark matter and an effective gravitational
Born-Infeld theory. We then argue that these unconventional quanta of MONDian
dark matter must obey infinite statistics, and the theory must be fundamentally
non-local. Finally, we provide a possible top-down approach to our proposal
from the Matrix theory point of view.
