SPEED SHIFT Speeds of the Source Object and the Image Object of an object that is in motion are always different. This difference is called Speed Shift. As the things we see are Image Objects of objects, the measurement we do by seeing do not reflect the real speed value of objects. This may not be important for low speeds, but, as the speed values increase, this topic gradually gains importance. There is no upper limit for an Image Object in terms of speed. There may be cases where it can be thousands of times faster than the speed of light. I skipped the topic of Speed Shift for some reason when I was writing the book. However, this was not a new finding for me. I mentioned this topic in the Alice Law Version 7 (Time Dilation, page 12). If you check the Publications After The Book, you can access my latest publication on this topic. THE MATHEMATICS OF SPEED SHIFT We can see how Speed Shift occurs in this animation. We see two adjacent Doppler Triangles. These are OAB and OBC triangles. OBC triangle is here to serve as a means to indicate the continuity of the movement. We will do the calculations on OAB triangle.  I would like you to see how the event takes place by moving the slider bar. In order to reach the mathematics of Speed Shift, we write the flow of the event in order. The plane (Source Object), when it is at Point A, sends a signal towards the observer. The signal covers the d0 line at c speed and reaches the observer. When the signal reaches the observer, the observer sees the Image Object of the plane at Point A.  The travel time of the first signal to the observer: t0=d0/c , (t0=tΔ) Within this period of time, the plane has reached Point B by covering the AB distance, i.e. the d1 line, at u1 speed. d1=u1.(d0/c) When the plane reaches Point B, it sends the observer another signal.  The signal reaches the observer by covering the d2 line at c speed.  When the signal reaches the observer, the observes sees the image object of the plane at Point B.  Let’s calculate the travel time of the second signal to the observer. t1=d2/c Within this period of time, the plane has reached Point C by covering the d3 distance. In the same period of time, the Image Object of the plane has covered the d1 distance at u2 sped and reached Point B. d1=u2.(d2/c) As we can see, while the Source Object of the plane covers the d1 distance at u1 speed within d0/c time, the Image Object of the plane covers the same distance at u2 speed in d2/c time.  A difference in speed between the Image Object and the Source Object has come up. This effect is called Speed Shift.   With this information we obtained, we can write the mathematics of Speed Shift.  Obtaining the mathematics of Speed Shift is shown in order on the figure. THE SHUTTLE IS MOVING AWAY FROM THE EARTH  This and the next animation have been created by using the Speed Shift equation. Timers control the animation. For this reason, errors, though only minor ones, may occur in the animation depending on the performance of the operating system that you use.  Please do a time test beforehand. When you play the animation at “1 c” value, if the Travel Time of the Source Object is between 0:98 and 1:05, we can say that the everything is going well. The ideal case is 1:00.  In the animation, how an observer on the earth perceives the speed of the Image Object while the shuttle is moving away from the earth is shown. By making use of the Speed Shift equation, we could have already understood in what way the event would take place. But I wanted to show this to you using an animation. In the animation, how long it takes for the Source Object and the Image Object of the shuttle to cover the distance of “1 light speed/second” is shown in comparison. The Radio Buttons on the left set the speed of the Shuttle (Source Object). Please give the animation a value here, click on the Play button and watch the result. THE SHUTTLE IS APPROACHING THE EARTH Depending on the performance of the operating system you use, errors may come up in the animation. In this animation, the Source Object and the Image Object must reach the finish line at the same moment in all cases. The Image Object can never reach the finish line before the Source Object. If they are not reaching at the same time, do not watch the animation because it will give you wrong information. I am warning you because it happened to me. It worked out when I restarted my computer.  Please do a time test beforehand. When you play the animation at “1 c” value, if the Travel Time of the Source Object is between 0:98 and 1:05, we can say that the everything is going well. The ideal case is 1:00. In the animation, how an observer on the earth would perceive the speed of the Image Object when the shuttle is approaching the earth is shown. If you play the animation by giving it the value 1, the speed of the Image Object reaches infinity; in other words, it becomes undefined. The moment the Source Object arrives at the finish line, the Image Object will appear on the finish line.  In the animation, how long it takes for the Source Object and the Image Object of the shuttle to cover the distance of “1 light speed/second” is shown in comparison. The Radio Buttons on the left set the speed of the Shuttle (Source Object). Please give the animation a value here, click on the Play button and watch the result. Go back to the Animation List Page