0372-400Х (Edition in Ukrainian)
2071-0186 (Edition in English)
2071-0194 (in electronic form)
Abbreviated key title: Ukr. J. Phys.
4, Petrovs’kyi Str., apt. 40, Kyiv 03087, Ukraine
Mirror Symmetry As A Basis For Constructing A Space-Time Continuum
Section: General problems of theoretical physics
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.
Key words: mirror transformation, Clifford algebra, hyperbolic hypercomplex numbers, Minkowski space.