Einstein’s 1905 Paper rides on Incorrect Angular Frequency to Forecast Redshift

Abstract

The relativistic Doppler Effect is explained from the theory of Relativity by applying an incorrect factor (γ) 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  transformation i.e. is applied to the time period, one gets a blueshift because the frequency, being inverse of the time period, changes in the ratio of . Thus Relativity, when applied correctly, leads to results just reverse of what is professed today. It, therefore, follows that it is not possible to explain the so-called relativistic Doppler redshift by application of Relativity; it requires a different explanation.

A question may, however, arise as to how to reconcile the above statement with the redshift worked out by Einstein in his 1905 Paper [1], 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, by taking its transformation in the same ratio as for the time period, despite the two being related inversely.