In this paper we derive the equations of motion for a spinning particle in the presence of the metric-torsion field using a different method from that of Mathisson and Papapetrou. We also discuss the behaviour of a spinning body in a static spherically symmetric metric-torsion field and compare our results with that of Schiff. We also proved that there is no precession of gyroscop in absolutely parallelizable space. Finally, we discuss the top experiment which can test our theory.
In general relativity, a coordinate transformation is called a symmetry if the metric tensor is form invariant with respect to the transformation. Einstein’s non-symmetric unified field theory has no a priori metric and the definition of symmetry is more difficult. Traditionally, invariance of a metric tensor was replaced by form invariance of the fundamental tensor of the non-symmetric theory but this definition is inadequate for the metrisation procedure used by Klotz. The concept of universal symmetry is introduced to overcome this problem and is used to find the general form of the Klotz metric for a spherically symmetric space.
It is shown that there is no slowly uniform contraction of a spherically symmetric fluid configuration in general relativity — as opposed to the Newtonian case — obeying an equation of state \(p = p(\varrho )\) and having an energy-momentum tensor with compact support.
FESR and a fit to 5 GeV/\(c\) data are used to determine resk ue functions and trajectory parameters of baryon poles governing \({\rm K}^-p \to \Lambda \pi ^0\) backward scattering. The \(N_{\alpha }\) pole is found to make only a small contribution. In the dip region, all the residues are slowly varying with u and none is vanishing. Nevertheless, the dip is reproduced at the right position, resulting from destructive interference between various pole contributions. Extrapolating the obtained residues, it results that the unwanted parity partners are suppressed by the vanishing of the residues at the appropriate positive values of \(u\).
The two-potential Lagrange formulation of the theory of magnetic charge is developed. The connection with the Dirac and Cabibbo–Ferrari formulations of electrodynamics with magnetic monopoles is stated.
The bremsstrahlung weighted cross section for the photodisintegration of \(^7\)Li is calculated using the cluster model wave function. The range of the parameters in the fully antisymmetrized cluster model wave function which account for both the r.m.s. radius and the bremsstrahlung weighted cross section, are determined.
A refined double folding procedure with density dependence of the effective nucleon- -nucleon interaction included is used to calculate the real part of the alpha particle — \(^{48,40}\)Ca potentials. We show that the experimentally determined difference between rms radii of the (real) potentials implies a larger size of the nuclear matter distribution of the \(^{48}\)Ca nucleus as compared to the \(^{40}\)Ca nucleus.
