dorsal/arxiv
View SchemaA Program for the Geometric Classification of Particles and Relativistic Interactions
| Authors | Gustavo R. Gonzalez-Martin |
|---|---|
| Categories | |
| ArXiv ID | physics/0009052 |
| URL | https://arxiv.org/abs/physics/0009052 |
Abstract
Geometric relativistc interactions in a new geometric unified theory are classified using the dynamic holonomy groups of the connection. Physical meaning may be given to these interactions if the frame excitations represent particles. These excitations have algebraic and topological quantum numbers. The proton, electron and neutrino may be associated to the frame excitations of the three dynamical holonomy subgroups. In particular, the proton excitation has a dual mathematical structure of a triplet of subexcitations. Hadronic, leptonic and gravitational interactions correspond to the same subgroups. The background geometry determines non trivial fiber bundles where excitations live, introducing topological quantum numbers that classify families of excitations. From these three particles, the only stable ones, it may be possible, as suggested by Barut, to build the rest of the particles. The combinations of the three fundamental excitations display SU(3)xSU(2)xU(1) symmetries.
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"abstract": "Geometric relativistc interactions in a new geometric unified theory are\nclassified using the dynamic holonomy groups of the connection. Physical\nmeaning may be given to these interactions if the frame excitations represent\nparticles. These excitations have algebraic and topological quantum numbers.\nThe proton, electron and neutrino may be associated to the frame excitations of\nthe three dynamical holonomy subgroups. In particular, the proton excitation\nhas a dual mathematical structure of a triplet of subexcitations. Hadronic,\nleptonic and gravitational interactions correspond to the same subgroups. The\nbackground geometry determines non trivial fiber bundles where excitations\nlive, introducing topological quantum numbers that classify families of\nexcitations. From these three particles, the only stable ones, it may be\npossible, as suggested by Barut, to build the rest of the particles. The\ncombinations of the three fundamental excitations display SU(3)xSU(2)xU(1)\nsymmetries.",
"arxiv_id": "physics/0009052",
"authors": [
"Gustavo R. Gonzalez-Martin"
],
"categories": [
"physics.gen-ph"
],
"title": "A Program for the Geometric Classification of Particles and Relativistic Interactions",
"url": "https://arxiv.org/abs/physics/0009052"
},
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