Tripathi, Karunesh M.
September 2, 2023
Special Relativity, Lorentz Transformation, Astrophysics, Cosmology
The relativistic Doppler Effect is explained from the theory of Relativity by applying an incorrect factor (????) for the time dilation to the time period of the electromagnetic waves arriving the Earth from celestial sources. This leads to a forecast of redshift. However, if the correct ratio of time transformation i.e. √1−????????⁄1+????????⁄ is applied, one gets a blueshift because the frequency, being inverse of the time period, changes in the ratio of √1+????????⁄1−????????⁄. Thus Relativity, when applied correctly, leads to results just reverse of what is professed today. A question may, however, arise as to how to reconcile the above statement with the redshift worked out by Einstein in his 1905 Paper, Section 7 titled “Theory of Doppler’s Principle and of Aberration”. The answer is he committed a mistake in working out the angular frequency of light in the moving (observer’s) frame.