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By mirroring a one-dimensional oriented set in a complex space specially created on the basis of a symmetry, a mirror n-dimensional space with n > 1 has been constructed. The geometry of the resulting space is described by the Clifford algebra. On the basis of the algebra of hyperbolic hyperc...

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Bibliographic Details
Date:2019
Main Author: Khoroshkov, Yu. V.
Format: Article
Language:English
Ukrainian
Published: Publishing house "Academperiodika" 2019
Subjects:
Online Access:https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2019239
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Journal Title:Ukrainian Journal of Physics

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Ukrainian Journal of Physics
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Summary:By mirroring a one-dimensional oriented set in a complex space specially created on the basis of a symmetry, a mirror n-dimensional space with n > 1 has been constructed. The geometry of the resulting space is described by the Clifford algebra. On the basis of the algebra of hyperbolic hypercomplex numbers, a pseudo-Euclidean space has been constructed with the metric of the Minkowski space. The conditions for a function of a hyperbolic hypercomplex argument to be analytic (h-analyticity) are obtained. The conditions implicitly contain the Maxwell equations for the 4-potential in a free space.