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This book is based on a series of lectures by Anatoly Logunov, Vice President of the USSR Academy of Sciences and Rector of Moscow University. The book, in accordance with Minkowski's concept, proves that the essence and the principle content of the relativity theory is a space-time unity, characterized by pseudo-Euclidean geometry. Within the framework of the relativity theory and the principle of geometrization the relativity theory of gravitation has been constructed which explains all existing gravitation experiments and provides a basically new concept of the Universe development and gravitational collapse.
The relativistic theory of gravity presented in this work is constructed as a field theory of the gravitational field within the framework of special relativity theory. The starting point is the hypothesis that a universal characteristic of matter -- the energy-momentum tensor -- serves as the source of gravity. The gravitational field is considered to be a universal physical field with spins 2 and 0, owing to the action of which the effective Riemannian space arises. This permits finding a gauge group and unambiguously constructing the Lagrangian density of the gravitational field. The set of equations of this theory is generally covariant and form-invariant with respect to the Lorentz group. Here the introduction of the graviton mass into the theory is necessarily required. The graviton mass substantially influences the Universe evolution and alters the nature of the gravitational collapse. In the work a further development is presented of the ideas of H. Poincare, H. Minkowski, A. Einstein,D. Hilbert, N. Rosen, V.A. Fock, S. Gupta, W. Thirring and S. Weinberg in the theory of relativity and gravity.
The majority of the "memorable" results of relativistic quantum theory were obtained within the framework of the local quantum field approach. The explanation of the basic principles of the local theory and its mathematical structure has left its mark on all modern activity in this area. Originally, the axiomatic approach arose from attempts to give a mathematical meaning to the quantum field theory of strong interactions (of Yukawa type). The fields in such a theory are realized by operators in Hilbert space with a positive Poincare-invariant scalar product. This "classical" part of the axiomatic approach attained its modern form as far back as the sixties. * It has retained its importance ...