Relativistic algebra of space-time and algebrodynamics
We consider a manifestly Lorentz-invariant form L of the biquaternion algebra and its generalization to the case of a curved manifold. The conditions of L-differentiability of L-functions are formulated and considered as the primary equations for fundamental fields modeled with such functions. The e...
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Published in | Gravitation & cosmology Vol. 22; no. 3; pp. 230 - 233 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Moscow
Pleiades Publishing
01.07.2016
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Subjects | |
Online Access | Get full text |
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Summary: | We consider a manifestly Lorentz-invariant form L of the biquaternion algebra and its generalization to the case of a curved manifold. The conditions of L-differentiability of L-functions are formulated and considered as the primary equations for fundamental fields modeled with such functions. The exact form of the effective affine connection induced by L-differentiability equations is obtained for flat and curved manifolds. In the flat case, the integrability conditions of the connection lead to self-duality of the corresponding curvature, thus ensuring that the source-free Maxwell and
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(2,ℂ) Yang-Mills equations hold on the solutions of the L-differentiability equations. |
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ISSN: | 0202-2893 1995-0721 |
DOI: | 10.1134/S0202289316030087 |