In this paper we obtain the differential equations which describe the rotating rod and precession of the spin of a gyroscope moving along a curved trajectory. Several examples of such motion are considered. The obtained equations differ from the traditional Thomas expression, interpreted as a rotation of the non inertial frame relative to the fixed one. The cause of this disagreement is the fact that, in general, the axes of the moving frame are not orthogonal for the fixed observers. When the velocity changes, the axes' direction changes, due to both Wigner rotation and Lorentz contraction. In the present paper we take into account both of these factors. It is shown that the vectors representing various physical quantities transform in different ways in the moving reference frame. Thus, the kinematic equations describing the motion of these quantities in a fixed frame are different as well.

No abstract

No abstract

We consider a hypothetical possibility of the variability of light velocity with time and position in space which is derived from two natural postulates. For the consistent consideration of such variability we generalize translational transformations of the Theory of Relativity. The formulae of transformations between two rest observers within one inertial system are obtained. It is shown that equality of velocities of two particles is as relative a statement as simultaneity of two events is. We obtain the expression for the redshift of radiation of a rest source which formally reproduces the Hubble Law. Possible experimental implications of the theory are discussed.

No abstract