Algebrodynamics in complex space-time and the complex-quaternionic origin of Minkowski geometry

Simple item page
dc.creatorKassandrov, Vladimir V.
dc.date2006-02-22
dc.date.accessioned2026-07-07T07:02:38Z
dc.date.available2026-07-07T07:02:38Z
dc.descriptionWe present a scheme of biquaternionic algebrodymamics based on a nonlinear generalization of the Cauchy-Riemann holomorphy conditions considered therein as fundamental field equations. The automorphism group SO(3,C) of the biquaternion algebra acts as a proper Lorentz group on a real space whose coordinates are bilinear in the complex coordinates of biquaternionic vector space. A new invariant of Lorentz transformations then arises - the geometric phase. This invariant can be responsible for the quantum properties of particles associated in this approach with field singularities. Some new notions are introduced, related to ``hidden'' complex dynamics: ``observable'' space-time, the ensemble of identical correlated particles-singularities (``duplicons'') and others.
dc.descriptionProceedings of the XII Russian Gravitational Conference, Kazan, June 2005. 9 pages, LaTeX. Some references added
dc.identifierhttps://arxiv.org/abs/gr-qc/0602088
dc.identifierhttp://arxiv.org/abs/gr-qc/0602088
dc.identifierGrav.Cosmol. 11 (2005) 354-358
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/108673
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleAlgebrodynamics in complex space-time and the complex-quaternionic origin of Minkowski geometry
dc.typetext

Files

Collections

arXiv