The book is devoted to a unification of two major principles of invariance in physics (local gauge and local coordinate invariance) and reducing both principles to the second one in a more than 4-dimensional world. The additional dimensions cannot be directly observed. Thus it is akin to a Kaluza-Klein or Jordan-Thiry point of view. The author develops these ideas using nonriemannian geometry from Einstein's Unified Field Theory. The theory uses nonsymmetric right-invariant metric defined on a principal fibre bundle (a gauge bundle). The book proceeds in three stages:...