General Relativity as Multifractal Analogue of the Standard Model

Abstract

We have recently shown that the Standard Model of particle physics (SM) may be configured as a multifractal set, with all field components acting as primary generators of this set. The goal of this brief note is to point out that a multifractal description of General Relativity (GR) is also possible, starting from the definition of the metric tensor and relativistic interval. This finding paves the way to an unforeseen homeomorphism between the structure of SM and classical gravity.