We develop a type of Kaluza-Klein formalism in (4 + 4)-dimensions. In the framework of this formalism we obtain a new kind of Schwarzschild metric solutions that via Kruskal-Szequeres can be interpreted as mirror black and white holes. We found that this new type of mirror black and white holes solutions in (3 + 1)-dimensions support the idea that the original space-time can be extended to (4 + 4)-signature. Using octonions, we also discus linearized gravity in (4 + 4)-dimensions.On the other hand, it is well known that the Kruskal-Szekeres coordinates give an alternative description of the event horizon of black-holes [21,22]. Traditionally, one starts with the Schwarzschild metric described by the coordinates t, r and the angular coordinates θ and φ associated with a unit sphere and after several algebraic steps one computes the Kruskal-Szekeres coordinates T and X which become functions of t and r. The key result of this process is that while the Schwarzschild metric is singular at the horizon r = 2GM = r s the Kruskal-Szekeres metric is not. However, the final transformations between the coordinates t, r and T and X seems to be, in a sense, intriguing because instead of describing only two regions (2-region) as in the case of Schwarzschild black-holes (interior and exterior) one