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Volume 14: Pages 257-265, 2001
Observers in Time‐Dilation Experiments
J. F. Geurdes
C. van der Lijnstraat 164, 2593 NN Den Haag, Netherlands
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 λN(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 Δlog(λN(S)/λS(N)) = constant. Given that the age of the universe is 1010 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.
Keywords: special relativity, time dilation, three‐point transformation sequence, computer‐simulation study, celestial observations relating northern and southern hemispheres, Δlog(λN(S)/λS(N)) = constant
Received: September 3, 2001; Published online: December 15, 2008
