Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1997-04-14
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
10 pages, uses elsart
Scientific paper
A formalism is presented to construct a non-perturbative Grand Unified Theory when gravitational Planck-scale phenomena are included. The fundamental object on the Planck scale is the three-torus T^3 from which the known properties of superstrings, such as the geometric action and duality, follow directly. The low energy theory is 11-dimensional and compactification to a Lorentzian four-manifold is an automatic feature of the unified model. In particular, the simply-connected K3 Calabi-Yau manifold follows naturally from the model and provides a direct link with M-theory. The high energy theory is formulated on a T^3 lattice with handles which exhibits the necessary symmetry groups for the standard model, and yields a consistent amplitude for the cosmic microwave background fluctuations. The equation of motion for the supersymmetric, unified theory is derived and leads to the Higgs field. This formulation predicts a remnant, scalar topological defect of mass < 9 m_Planck/46 from the Planck epoch, which is a candidate for dark matter. Finally, it is shown that if the universe is quantum-mechanical, its spatial dimension is equal to three and the laws of nature are Lorentz invariant when gravity can be neglected.
No associations
LandOfFree
Topological Dynamics and Grand Unified Theory 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 Topological Dynamics and Grand Unified Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Topological Dynamics and Grand Unified Theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-262610