Emergent gravity at all scales

Abstract

It has recently been shown that any observed potential can in principle be generated via quantum mechanics using a suitable wave function. In this work, we consider the concrete example of the gravitational potential experienced by a test particle at length scales spanning from the planetary to the cosmological, and determine the wave function that would produce it as its quantum potential. In other words, the observed gravitational interaction at all length scales can be generated by an underlying wave function. We discuss implications of our result.