Fractional Spacetime & the Emergence of the Dark Sector (I)

Abstract

It is well known that both Newtonian gravity and General Relativity can be built starting from the classical Poisson equation in 3-dimensional space. Here we speculate that, at least in principle, the concept of 3-dimensional space equipped with minimal fractality enables a qualitative explanation of both rotation curves of disk galaxies and cosmological expansion. Our approach bridges the gap between particle and gravitational interpretations of Dark Matter and suggests a unified picture of the Dark Sector. It offers a basis for explaining away Modified Newtonian Gravity (MOND) and its theoretical ramifications.