Mirror Symmetry as a Basis for Constructing a Space-Time Continuum

  • Yu. V. Khoroshkov 4, Petrovs’kyi Str., apt. 40, Kyiv 03087, Ukraine
Keywords: mirror transformation, Clifford algebra, hyperbolic hypercomplex numbers, Minkowski space

Abstract

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.

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Published
2019-01-18
How to Cite
Khoroshkov, Y. (2019). Mirror Symmetry as a Basis for Constructing a Space-Time Continuum. Ukrainian Journal of Physics, 60(5), 468. https://doi.org/10.15407/ujpe60.05.0468
Section
General problems of theoretical physics