Alice Law Version 7
Doppler Effect
Han
Erim May 7, 2012 Copyright © 2012 Han Erim, All Rights Reserved.
THE DOPPLER EFFECT


Figure
1, The Doppler Effect occurs very similarly to the animation here. There is a rolled moving paper in the animation. We can control the speed of the paper. The pencil swings up and down in a constant speed and constant frequency and draws the moving paper below. The shape of the drawing will change according to the speed of the paper. For the horizontal movements, the fact that the paper moves or that the paper stands still while the pencil moves gives exactly similar results. 

Figure
2,
The Doppler Effect We see the previous animation created with electromagnetic waves here. There is a magnet instead of a pencil. The magnet vibrates properly. These vibrations are sent to the spaceship by its field in electromagnetic waves. Each effect occurring on the field goes to the spaceship with the c speed (light speed constant). Here, c is the speed of electromagnetic wave according to the field. The direction of movement and the speed of the spaceship do not change the speed of the electromagnetic wave according to the field. However, the speed and direction of the spaceship changes the shape that the magnet draws (the electromagnetic waves undergo a change) because the spaceship carries its field along with itself. The change in the shape of the drawing, as we can see, occurs as the change of the wavelength. If the spaceship is moving, it will see that the length of the electromagnetic waves that come to it change; in other words, it will see a Doppler Effect. We should pay attention to the fact that the Doppler Effect occurs on the source (at the side of the magnet) while electromagnetic waves are emitted. As can be seen, in case the spaceship approaches to the source, the wavelengths diminish (BLUSHIFT), and in case the spaceship moves away from the source, the wavelengths extend (REDSHIFT). The values in the animation are pixel/second. In an attempt to make the animation realistic, the speed of light are set to 299,792458 pixel/sec. In order to comment on the animation correctly, after setting the speed value, wait until all the wavelengths are equal. 

Figure
3, Doppler Effect
We see a more sophisticated animation created with light compared to the previous one here. With regards to the occurring of the Doppler Effect, the events that the observer moves and the lamp stands still or that the lamp moves and the observer stands still come to a similar conclusion. 

Figure
4, THE RELATIONSHIP BETWEEN (c+v)(cv) MATHEMATICS AND WAVELENGTH, FREQUENCY
We see the relationship between the wavelength and frequency with (c+v)(cv) mathematics here. The change on the wavelength and frequency is directly dependent on (c+v)(cv) mathematics. 

Figure
5, The Relationship between the Wavelength and Frequency When we look at the figure, we can see that the light travels the distance equal to a wavelength on the field with c speed in t time. Namely; λ = c. t. Therefore, t = λ/c. This t time is also the period (T) of an electromagnetic wave that is λ in length. Namely, t = T. There is the equation T = 1/f also between the period and the frequency. We can write down T and t. Frequency is the repetition number in 1 unit time. If we write down 1/f instead of t in the equation λ = c. t, we obtain λ = c. f or f= λ/c. At the bottom of the page, we can see the equations belonging to the Doppler Effect as a summary. We have obtained these equations in the previous page. 

Figure
6,
The direct relationship between the Doppler Effect and the Relativity Effects and Erim Equations The relativity effects –length deformation, time dilation, and change in perception speed – can never be present alone. If a time dilation occurs, it means that other effects also occur at the same time. If the Doppler Effect is confirmed in an observation, it indicates that there are relativity effects because the reasons of the formation of the Doppler Effect are same with those of the relativity effects and the Doppler Effect occurs with other relativity effects at the same time. We have already seen how the relativity effects are formulated in the sections of length deformation, time dilation and simultaneity. As the Doppler Effect also uses the same mathematical equations, the relationship can be recognized easily. If we see RedShift or BlueShift in one of our observations, we can easily find out to what extent other relativity effects occur by benefiting from the change in the wavelength. As a result of my noticing the relationship between the Doppler Effect and the relativity effects, this table came out. I wanted to give a name to this table and I named it “ERIM”, which is my last name. By using the buttons on the table, you may go to relevant pages of each section and see the relations onetoone.
The maximum and minimum limits for wavelength and frequency 

Figure
7, The Doppler Effect and the Force Effect As the speed value changes in the movements in the force effect, the Doppler Effect, as you guess, increase or decrease according to time. We see this situation in the graphics. Now, we have come to a very interesting spot here because this spot is the GENERAL RELATIVITY. Generalizing (c+v)(cv) mathematics by adding the force effect means the General Relativity. The graphic on this page is a very good example that shows what General Relativity is. From now on, the General Relativity will be as simple as this. We will continue our journey with the Alice Equation. 

Establish: December 2001 Copyright © 20002012. Han Erim. All Rights Reserved. 