Fundamental aspects of the gentilionic theory are reanalyzed and significant modifications are introduced in this approach. We show that the state vector of three gentileons has a spinor character and that its basic symmetry properties are described by the intermediate, \(S_3\) and SU(3) groups. As an intermediate and natural result of our theoretical analysis, we show how essential observed properties of composed hadrons can be predicted from first principles assuming quarks as gentileons.
The revised model of the gauge gravitational theory presented by author in previous papers cited in References is considered. This revised model has simplified macroscopic limit owing to the natural condition that the magnitude of the microscopic spin vanishes in macroscopic limit, i.e., when Planck’s constant tends to zero. The model restricted by the algebraic constraints \(Q_l := Q^i_{\cdot li}\) is also considered.
The method of solving equations of geodesic deviation is presented. We apply this method for the case of null geodesic lines in the Schwarzschild space-time. The exact solution of the equation of geodesic deviation is given.
A class of dynamical systems with second class constraints which might be viewed as systems with first class constraints supplemented with gauge constraints (being a half of the set of original ones) is selected. Its quantization by path integral method, both, in a unitary and relativistic gauges is performed.
Higher order moments of multiplicity distributions in rapidity intervals are calculated from lowest order moments for few simple distributions used commonly to describe the data. It is shown that systematical small deviations of data from the fitting curves may lead to significant discrepancies between the values of moments determined directly from data and values calculated using the fits. Additional tests for models which seem of fit well the multiplicity distributions are thus strongly recommended.
The scalar quantum field theory with \(\lambda {\mit \Phi }^4 + g{\mit \Phi }^6\) interaction in four dimensional space-time is studied to the first order of the optimized expansion. The results are very similar as for \(\lambda {\mit \Phi }^4\) theory studied in the same approximation. Renormalization can be explicitly performed; however, the renormalized theory is noninteracting or precarious. The autonomous phase of the theory, suggested recently by variational methods, is nonrenormalizable in the considered approximation.
A system of closed cosmic strings is studied. We present a brief discussion of dynamics of strings. We find self intersections of a family of cosmic strings and investigate the distribution of daughter loops. A numerical model of evolution of a system of cosmic strings (low density gas of strings) is proposed and discussed. It is found that the energy spectrum of strings is not affected by the evolution and remains scale invariant.
