The Doppler effect according to complete relativity

The paper is a study of the Doppler effect for a gamma-ray formed by the superposition of the electromagnetic standing waves of an electron and a positron. This analysis uses complete relativity, thus differing from Einstein's special relativity, as it introduces the new postulate of a minimum nonzero speed under which a particle cannot move. When an electron positron pair moves away from the laboratory observer with a value of beta > 0.5774, in the complete relativistic Doppler effect we can notice an inversion of the normal response: a decrease instead of an increase in the measured wavelengths of both the electron and the positron. This result seems to be due to the remarkable properties of reference systems with speeds approaching the speed of light. In fact, for beta > 0.5774, the relativistic addition of the speeds can take on a particular weight that produces an inversion of the normal effects. (C) 2012 Physics Essays Publication. [DOT: 10.4006/0836-1398-25.3.315]