Dark energy, antimatter gravity and geometry of the Universe

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.

References in corpus (2)

• On the relation between mass of pion, fundamental physical constants and cosmological parameters
• A few provoking relations between dark energy, dark matter and pions

Cited by in corpus (7)

• Testing gravity with cold atom interferometry: Results and prospects
• CPT symmetry and antimatter gravity in general relativity
• Precision Gravity Tests and the Einstein Equivalence Principle
• Is dark matter an illusion created by the gravitational polarization of the quantum vacuum?
• Do we live in the universe successively dominated by matter and antimatter?
• On the vacuum fluctuations, Pioneer Anomaly and Modified Newtonian Dynamics
• Can the new Neutrino Telescopes reveal the Gravitational Properties of Antimatter?