![]() ![]() Also, there is no reflection here to cancel v a. In the case of a narrow beam, the velocity of the observer cannot always be aligned with that of the beam. The observer in Figure 1 is moving with a transverse velocity v t to the light and with a velocity v a parallel to the light. ![]() The primed values refer to the moving observer’s reference plane. The source of light has a reference plane indicated by no superscript. Combining Axial and Transverse Doppler Shifts by Einstein’s Second Postulate with Both Axial and Transverse Motion of the Moving Reference Frame Also the maximum magnitude of the axial Doppler is higher than the transverse shift.Ģ. Which means it affects energy distribution functions in gases and plasmas and distribution functions in results where angles vary randomly in measurements as in the Compton effect. Note: Although the average of the magnitude of the axial shift over all angles is zero, the variance of the magnitude over all angles is about 1/3 of the maximum magnitude. Given that and the need for a powerful low noise accelerator, few experimenters will get grants to prove the existence systematic quantitative errors in relativity. Even without relativity, the two are significant in physics. Also Lorentz and Einstein, are academic heroes, for over 100 years, because they convinced the world that velocity changes time and space and at least qualitatively that is proven even if there is quantitate errors. The average of axial Doppler shift over all angles is zero but if someone looks for it the variance is about one third of the maxim shift. The writers on relativity do not get corrected because the only places on Earth where there are high relativity effects are in accelerators, which are very, very noisy, and in observations where the observation angle is random (cosmic rays, radio activity). That is the first Lorentz transformation error the second is assumption of non-existent symmetry. Also the Doppler blue shift seems to imply additional dimensions of time another way. ![]() This includes Faraday-Max- well’s equations and Schrodinger’s equations. Therefore differential equations with them have additional dimensions. That means scalars such as mass and charge are now vectors and have additional dimensions. This happens with other scalar qualities as well. That is the defining property of a vector and that changes its dimensions and the dimensions of the differential relations it is in. The implications are not just quantitative but also qualitative because anything with an axial Doppler shift has different values in different directions from an observer. The axial shift’s formula has the cosine of the observation angle in it. Also the Michelson-Morley experiment is not all cases, and light is not the only thing deformed by velocity. ![]() After the first reflection in the Lorentz transformation, the light from the Sun is in Earth’s reference frame and there are no more Doppler shifts. It is not valid to say because the aether axial wind averages to zero between reflections so does axial Doppler shifts. Most of this is due to simplifications and errors in the Lorentz transformation, some came from being in the aether wind era originally and because accelerators are noisy. But in the common writings on relativity mass always goes up with increases of velocity, and the transverse shift of frequency always goes down with increases of velocity. The classic equation of quantum mechanics requires that frequency and mass have the same distortion from velocity (Doppler shift). Writers on relativity do not give moving particles that. If a particle has a wave function or is in other ways a moving wave, it should have an axial Doppler shift. ![]()
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