Observers in time-dilation experiments

In this paper it is demonstrated that Lorentz-contraction time dilation in special relativity, seen as temporal velocity, enables a transformation of observers in a three-point problem. Starting points as well as relativistic Doppler redshift lines of the observers are investigated with a computer-simulation study. Consequences are drawn for celestial observations, where the northern and southern celestial hemispheres could serve as the source for observations. If lambda(N(s)) stands for wavelengths of light emitted from objects measured at the northern (southern) hemisphere, it is found that objects in a three-point transformation sequence obey the approximate relation Deltalog(lambda(N(S))/lambda(S(N))) = constant. Given that the age of the universe is 10(10) years, the objects in a sequence that started off shortly after the birth of the universe are at a distance of approximately 1.91 Gpc from Earth. The possible ordering of objects at that distance is probably little influenced by gravitational interaction.