Subgroups of the Group of Generalized Lorentz Transformations and Their Geometric Invariants

Simple item page
dc.creatorBogoslovsky, G. Yu.
dc.date2005-11-25
dc.date.accessioned2026-07-07T09:34:22Z
dc.date.available2026-07-07T09:34:22Z
dc.descriptionIt is shown that the group of generalized Lorentz transformations serves as relativistic symmetry group of a flat Finslerian event space. Being the generalization of Minkowski space, the Finslerian event space arises from the spontaneous breaking of initial gauge symmetry and from the formation of anisotropic fermion-antifermion condensate. The principle of generalized Lorentz invariance enables exact taking into account the influence of condensate on the dynamics of fundamental fields. In particular, the corresponding generalized Dirac equation turns out to be nonlinear. We have found two noncompact subgroups of the group of generalized Lorentz symmetry and their geometric invariants. These subgroups play a key role in constructing exact solutions of such equation.
dc.descriptionPublished in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/math-ph/0511077
dc.identifierhttp://arxiv.org/abs/math-ph/0511077
dc.identifierSIGMA 1 (2005), 017, 9 pages
dc.identifierdoi:10.3842/SIGMA.2005.017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159468
dc.subjectMathematical Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleSubgroups of the Group of Generalized Lorentz Transformations and Their Geometric Invariants
dc.typetext

Files

Collections

arXiv