Six-Dimensional Manifold with Symmetric Signature in a Unified Theory of Gravity and Electromagnetism

A six dimensional manifold of symmetric signature (3,3) is proposed as a space structure for building combined theory gravity and electromagnetism. Special metric tensor proposed, yielding the which combines properties Riemann, Weyl Finsler spaces. Geodesic line equations are constructed where coefficients can be divided into depending on (relating to gravitational interaction) vector field electromagnetic interaction). If there no gravity, geodesics turn charge motion in field. Furthermore, six-dimensional electrodynamics reduced traditional four-dimensional Maxwell system, two additional time dimensions compactified. purely geometrical interpretation concept point electric proposed.