Using Space Particle Dualism Theory to Solve the Hierarchy Problem

Abstract

The following paper is based on an approach to quantum gravity the author has been developing since 2005 [1]. In this theory space is quantized by postulating that every particle carries its own quantum of space with it, which is a 2-sphere with two complex dimensions [2, 3]. Different from all other approaches to quantum gravity is that in this theory, which the author calls ‘space particle dualism theory’ the quantums of space do not all have the same size and are not inhabiting the Planck scale, but are comparatively large in size, being just below the subatomic level and having an energy dependent size. In this theory gravity is modeled as differences in the density of elementary spaces. The density of elementary spaces in the absence of gravity determines the strength of gravity. The aim of this paper is to test whether or not this leads to the right strength (or weakness) of gravity. This present paper is not an introduction to the theory, and therefore not all the concepts that are needed to understand it can be introduced at length. A few equations of the theory have to be known to the reader in order to understand the paper.