Topological Dynamics and Grand Unified Theory
| dc.creator | Spaans, Marco | |
| dc.date | 1997-04-14 | |
| dc.date.accessioned | 2026-07-07T03:31:34Z | |
| dc.date.available | 2026-07-07T03:31:34Z | |
| dc.description | 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. | |
| dc.description | 10 pages, uses elsart | |
| dc.identifier | https://arxiv.org/abs/gr-qc/9704036 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/9704036 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/35908 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Topological Dynamics and Grand Unified Theory | |
| dc.type | text |