Relativistic Doppler Effect and the Misunderstandings of Special Theory of Relativity

All the questions posed by the authors arise from the fact that the authors did not use α 'but instead decided to use α as an angle equal to α / 2 to define the transverse Doppler effect. α is the angle between the direction of the wave and the relative motion between the first observer and the sound source, but it is obvious that it is measured by other observers (let him call him the second observer ). The remaining second observer uses the light source. Next, the author substitutes α = π / 2 into the equations (1) - (2) and obtains the offset of "blue".

Doppler's general theory states that the frequency of observed waves (light waves, sound waves, etc.) depends on the relative speed between the sound source and the observer. In other words, the so-called Doppler effect (or Doppler shift) represents the change in wavelength or frequency caused by observer movement relative to the light source. Doppler predicts that future astronomers will calculate the movement and distance of stars using this theory. In support of this theory scientists at the time conducted quite unexpected experiments such as recording a trumpet of a moving train on a musician and then recording the pitch of the instrument. Experiments successfully proved the Doppler effect as the horn approaching the train significantly increases the pitch of the horn and the train passes underneath.

His theory, now known as Doppler effect or Doppler shift, built the foundation of sonar and radar and eventually accepted the idea that the universe is expanding ("Big Bang"). With the Doppler shift of the visual spectrum, scientists can measure the rate at which celestial objects collapse or approach the earth. He also published research on astronomy, electricity, magnetism, and optics.

When discovering and developing Hubble 's law, the redshifting phenomenon can be interpreted as a Doppler shift in the context of special relativity and the redshift z is related to the velocity using the Doppler formula. Today, in the context of general relativity, the speed between distant objects depends on the selection of the coordinates used, so that by enlarging the space redshifts can be described as Doppler shift or cosmological shift as well I can. Or gravity, or a combination of both