Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2023, Volume 221, Pages 42–50
DOI: https://doi.org/10.36535/0233-6723-2023-221-42-50 (Mi into1128) 		 
Electrodynamics in complex space

M. P. Burlakova, N. I. Gusevaab

a Moscow State Pedagogical University
b All-Russian Institute for Scientific and Technical Information of Russian Academy of Sciences, Moscow
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DOI: https://doi.org/10.36535/0233-6723-2023-221-42-50
Abstract: In this paper, we examine the complex space-time realized in the biquaternion algebra and the Maxwell and Lorentz equations in this formalism. Also, we prove a theorem on the identity of magnetic monopoles and tachyons carrying an electric charge.
Keywords: complex space-time, biquaternions, regularity conditions, Maxwell equations, generalized Stokes theorem.
Document Type: Article
UDC: 514.8
MSC: 15A66, 15A67, 35Q61
Language: Russian
Citation: M. P. Burlakov, N. I. Guseva, “Electrodynamics in complex space”, Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998).  Moscow, November 1–4, 2021. Part 2, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 221, VINITI, Moscow, 2023, 42–50
Citation in format AMSBIB
\Bibitem{BurGus23}
\by M.~P.~Burlakov, N.~I.~Guseva
\paper Electrodynamics in complex space
\inbook Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998).  Moscow, November 1–4, 2021. Part 2
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2023
\vol 221
\pages 42--50
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1128}
\crossref{https://doi.org/10.36535/0233-6723-2023-221-42-50}
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