Some further problems of the special theory of relativity related to motion at low velocities

Various systems of co-ordinates are considered describing motion in space (xsub(s)tsub(s)), motion in time (xsub(t)tsub(t)), motion referred on a parity basis to space and time (xsub(s)tsub(t), xsub(t)tsub(s)), motion referred to an absolute origin x₀sup(*)t₀sup(*), and also a system describing self-motion of space-time, xsub(v0)tsub(α0). The transformation of the co-ordinate x and time t with the transition from one inertial system of co-ordinates to another is considered. It is shown that all inertial systems xsub(s)tsub(s) of the special theory of relativity (moving with different velocities v) move in a full-parity system with the same velocity, v₀=cc₀, where c is the velocity of light when its propagation is described in space, and c₀ the velocity of light when its propagation is described in time (abs c=1/abs c₀), whereby the reason for the uniformity of physical laws in all inertial systems is established. The concept of an invariant of motion related to a full-parity system, V² (the dimension of the square of velocity) is introduced, and it is shown that this invariant is conserved in inertial movements. It is established that the special theory of relativity is a particular case of the generalized description of motion based on two limiting quantities - the velocity of light, c, and the maximum 'velocity' of time change, αsub(max)=1/c₀ - and that it considers only motion in space. It is shown that the 'distortion' of length and time scales is a consequence of describing motion in non-parity co-ordinates systems. (author)