TY - JOUR
AU - Yu. Khoroshkov
PY - 2019/01/18
Y2 - 2020/07/07
TI - Mirror Symmetry as a Basis for Constructing a Space-Time Continuum
JF - Ukrainian Journal of Physics
JA - UJP
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
AB - 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.
ER -