Dark energy, antimatter gravity and geometry of the Universe

TL;DR

This paper proposes that antimatter experiences gravitational repulsion and models the universe as a hyper-spherical shell, resulting in a simple relation that aligns with observed dark energy density.

Contribution

It introduces a novel hypothesis of antimatter gravity repulsion and a geometric universe model to explain dark energy.

Findings

Derived a relation matching observed dark energy density

Hypothesized gravitational dipoles in quantum vacuum

Unified geometry and antimatter gravity concepts

Abstract

This article is based on two hypotheses. The first one is the existence of the gravitational repulsion between particles and antiparticles. Consequently, virtual particle-antiparticle pairs in the quantum vacuum may be considered as gravitational dipoles. The second hypothesis is that the Universe has geometry of a four-dimensional hyper-spherical shell with thickness equal to the Compton wavelength of a pion, which is a simple generalization of the usual geometry of a 3-hypersphere. It is striking that these two hypotheses lead to a simple relation for the gravitational mass density of the vacuum, which is in very good agreement with the observed dark energy density.