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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive

Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2023 Volume 221, Pages 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

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.

UDC: 514.8

MSC: 15A66, 15A67, 35Q61

DOI: 10.36535/0233-6723-2023-221-42-50



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