Bogoslovsky, George Yu. Rapidities and observable 3-velocities in the flat Finslerian event space with entirely broken 3D isotropy. (English) Zbl 1148.53054 SIGMA, Symmetry Integrability Geom. Methods Appl. 4, Paper 045, 21 p. (2008). The framework of this paper consists in a flat relativistically invariant Finslerian event space with entirely broken 3D isotropy. Through the notions of rapidities and observable 3-velocities, the geometric phase transitions related to the dynamic rearrangement of vacuum under spontaneous violation of initial gauge symmetry are studied with the methods of Finsler geometry. Some very interesting figures are included. Reviewer: Radu Miron (Iaşi) Cited in 1 Document MSC: 53C60 Global differential geometry of Finsler spaces and generalizations (areal metrics) 53C50 Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics 53C80 Applications of global differential geometry to the sciences 81T13 Yang-Mills and other gauge theories in quantum field theory Keywords:Finslerian event space; rapidities; observable 3-velocities PDFBibTeX XMLCite \textit{G. Yu. Bogoslovsky}, SIGMA, Symmetry Integrability Geom. Methods Appl. 4, Paper 045, 21 p. (2008; Zbl 1148.53054) Full Text: DOI arXiv EuDML