Ho, C. M.Minic, DjordjeNg, Y. J.2013-12-182013-12-182012-05-21Ho, Chiu Man ; Minic, Djordje ; Ng, Y. Jack, MAY 21 2012. “Dark matter, infinite statistics, and quantum gravity,” PHYSICAL REVIEW D 85(10): 104033. DOI: 10.1103/PhysRevD.85.1040331550-7998http://hdl.handle.net/10919/24746We 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 nonlocal. Finally, we provide a possible top-down approach to our proposal from the matrix theory point of view.application/pdfen-USIn Copyrightblack-holesaccelerated detectorsparticle statisticslocalobservablessitter spacesstring theoryenergymondSchwarzschildTemperatureAstronomy & AstrophysicsPhysicsArticle - Refereedhttp://link.aps.org/doi/10.1103/PhysRevD.85.104033https://doi.org/10.1103/PhysRevD.85.104033