TY - JOUR AU - Khoroshkov, Yu. V. PY - 2019/01/18 Y2 - 2024/03/29 TI - Mirror Symmetry as a Basis for Constructing a Space-Time Continuum JF - Ukrainian Journal of Physics JA - Ukr. J. Phys. VL - 60 IS - 5 SE - General problems of theoretical physics DO - 10.15407/ujpe60.05.0468 UR - https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2019239 SP - 468 AB - <p>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 &gt; 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.</p> ER -