Dark Matter, Infinite Statistics and Quantum Gravity

TL;DR

This paper proposes a novel connection between MONDian dark matter, infinite statistics, and quantum gravity, suggesting a non-local theory that explains galactic dynamics and aligns with a top-down matrix theory approach.

Contribution

It introduces the concept of MONDian dark matter obeying infinite statistics and links it to an effective gravitational Born-Infeld theory within a quantum gravity framework.

Findings

MONDian dark matter relates to Born-Infeld gravity.

Dark matter quanta obey infinite statistics.

The theory is fundamentally non-local.

Abstract

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.