On the Gravitational Analog of Continuous Spacetime Dimensions

Abstract

In this report, we point out that a spacetime endowed with continuous dimensions can be regarded as dual to classical gravitation in four dimensions. This observation provides a foundation for the gravitational behavior of Cantor Dust (CD), under the assumption that CD represents a cluster of Dark Matter ultra-light objects such as self-interacting bosons, axions, fuzzy condensates or 3D anyons.