Physics – Mathematical Physics
Scientific paper
2010-05-21
Physics
Mathematical Physics
31 pages, has gone through several major revisions
Scientific paper
The search for a quantum theory of gravity has become one of the most well-known problems in theoretical physics. Problems quantizing general relativity because it is not renormalizable have led to a search for a new theory of gravity that, while still agreeing with measured observations, is renormalizable. In this paper, I show that, given a "vortex" model of elementary particles in which rest mass derives from intrinsic spin and polarization, a Yang-Mills force with a SO(4,1) group symmetry predicts post-Newtonian N-body motion such as solar system observations of gravitational behavior as well as binary pulsar precession and orbital speed-up caused by gravitational radiation-reaction. I give a definition of the Yang-Mills theory on a lattice graph such that a background manifold is not required to define the theory. Using a homogeneous, isotropic universe model, I show that this theory does not contradict cosmological observations of Type 1a supernovae, Baryon Acoustic Oscillation, and the Cosmic Microwave Background. Most importantly, it agrees with the accelerating expansion of the universe as a consequence of the de Sitter group Lie algebra-an acceleration that I show does not occur in the Poincar\'e group approximation-suggesting that the de Sitter group symmetry explains dark energy. In addition, because it is a generic massless, semi-simple Yang-Mills theory, it is mathematically proved to be a perturbatively renormalizable quantum theory.
No associations
LandOfFree
An SO(4,1) group theory of quantum gravity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with An SO(4,1) group theory of quantum gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An SO(4,1) group theory of quantum gravity will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-412606