---

In this book we construct the Nonsymmetric Jordan-Thiry Theory unifying N.G.T., the Yang-Mills´ field, the Higgs´ fields and scalar forces in a geometric manner. In this way we get masses from higher dimensions. We discuss spontaneous symmetry breaking, the Higgs´ mechanism and a mass generation in the theory. The scalar field (as in the classical Jordan-Thiry Theory) is connected to the effective gravitational constant. This field is massive and has Yukawa-type behaviour. We discuss the rela- tion between R+ invariance and U(1)F from G.U.T. within Einstein -transformation, and fermion number conservation. In this way we connect W mi -field from N.G.T. with a gauge field AF from G.U.T. We derive the equation of motion for a test particle from conservation laws in the hydrodynamic limit. We consider a truncation procedure for a tower of massive k (or k ) scalar fields using Friedrichs´ theory and an approximation procedure for the lagrangian involving Higgs´ field . The geodetic equations on the Jordan-Thiry manifold are considered with an emphasis to terms involving Higgs´ field.

---

Marek (Wojciech) Kalinowski was born and educated in Poland.He obtained MS degree in physics ,MS degree in mathematics and computer science ,MA degree in philosophy and PhD degree in physics . He published about 150 items ( papers ,books ,preprints ,technical reports ,chapters ) in physics , mathematics ,philosophy and engineering .

---