Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2006-02-22
Grav.Cosmol. 11 (2005) 354-358
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
Proceedings of the XII Russian Gravitational Conference, Kazan, June 2005. 9 pages, LaTeX. Some references added
Scientific paper
We 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.
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