Spacetime as the Manifold of the Internal Symmetry Orbits in the External Symmetries

Details Spacetime as the Manifold of the Internal Symmetry Orbits in the External Symmetries Spacetime as the Manifold of the Internal Symmetry Orbits in the External Symmetries

2001-03-07

arxiv.org/abs/hep-th/0103043v1

Int.J.Theor.Phys. 40 (2001) 1545-1559

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, latex, macros included

Scientific paper

Interactions and particles in the standard model are characterized by the action of internal and external symmetry groups. The four symmetry regimes involved are related to each other in the context of induced group representations. In addition to Wigner's induced representations of external Poincar\'e group operations, parametrized by energy-momenta, and the induced internal hyperisospin representations, parametrized by the standard model Higgs field, the external operations, including the Lorentz group, can be considered to be induced also by representations of the internal hypercharge-isospin group. In such an interpretation nonlinear spacetime is parametrized by the orbits of the internal action group in the external action group.

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