IMAGE AND SOURCE

If you want to individually enhance your scientific culture, it would be beneficial and enjoyable for you to be familiar with the topic of "Image and Source." To understand the effects of physics on our lives, it is essential to truly grasp this subject.

The topic of Image and Source holds extraordinary importance because almost all Relativity Effects are directly related to it. If we compare Relativity Effects to a tree, the topic of Image and Source represents the main trunk of the tree, and the (c+v)(c-v) mathematics represents the roots of the tree.

In these animations, I have addressed the general principles of the Image and Source topic. However, this topic is not limited to this alone. In the sections discussing Relativity Effects such as Time Shift, Dimension Shift, Speed Shift, Doppler Shift, Byte Shift, Reverse Image, and others, you will see that the topic of Image and Source emerges, expands step by step, and becomes increasingly detailed.

I recommend reading my book "Alice's Law - Transition to (c+v)(c-v) Mathematics in Electromagnetic Theory." This will help you better understand the animations. All the animations here are related to the topics in the book.

DESCRIPTION:

I introduce the topic with a simple and basic animation. The observer is looking at the planet Neptune. The planet (Source Object), as it progresses in its orbit, sends signals that create its own images. The observer sees the planet (Image Object) with the signals reaching them.

As stated in the book, Source Objects are never visible under any circumstances. What we see are always the Image Objects belonging to them. Since this is an animation, we can see the Source Object here. Source Objects belong to Absolute Space-Time, while Image Objects belong to Visible Space-Time.

The critical point to note in this animation is: The observer sees the image of the planet at the point where the signal reaching them originated. Since the planet is in motion and it takes time for the signals to reach the observer, the observer sees the Image Object behind the Source Object. If the distance between the Source Object and the observer were greater, the Image Object would follow the Source Object from further behind. (You can see this effect by decreasing/increasing the speed of light in the animation. It will seem as if the distance has increased/decreased, and the signal has traveled a longer/shorter path.)

In some of the animations I create, I use graph paper to show the field. Here, I have shown the observer's field in a slightly different way. Note that the signals reaching the observer always follow the field lines.

USING THE DOPPLER TRIANGLE OR DOPPLER QUADRANGLE TO FIND THE LOCATION OF THE IMAGE OBJECT:
Doppler Triangles and Doppler Quadrangles provide clear and precise information about where an Image Object will appear.

Figure on the left:
A signal tower sends a signal to the airplane. The animation answers the question, "At which point will the observer in the airplane see the Image Object of the signal tower when the signal reaches the airplane?" Drag the scrollbar all the way to the end. At the final point, the position of the Red O point is where the Image Object will be seen. Why is this? Because according to the airplane's reference system, the signal has reached it by following the red d0 line. Since, according to the airplane's reference system, the signal originated from the red O point, the Image Object will be seen at the red O point.

Figure on the right:
According to the airplane's reference system, we can follow a similar method to determine where the image of the signal tower will be seen. Let's use Galileo's Relativity Principle. Assume the airplane is stationary, and the signal tower is moving. In this case, the signal would have been sent to the airplane from point A. Since, according to the observer in the airplane, the signal came from point A, they will see the Image Object at point A.

Equality between the figures on the left and right:
In both figures, there are two reference systems in motion relative to each other. It does not matter which one is stationary or moving. The resulting outcome must be identical in every respect. Comparing the two figures above, we see that this identity is maintained. This is the conservation of the Galileo Relativity Principle in Alice's Law.

DESCRIPTION:
This animation is like an open buffet, showing all the details of how (c+v)(c-v) mathematics is formed.

In the first animation, the observer was stationary, and the Source Object was in motion. In this animation, the Source Object is stationary, and the Observer is in motion. After pressing the Play button, drag the Observer with the mouse.

In the animation, the Source Object (the woman sitting in the chair) sends the signals forming her image to the observer. The observer sees the Image Object of the woman with the signals reaching them.

What to pay attention to in this animation:

• We see that the observer carries their field with them.
• The Source Object leaves its signal at the point of the field it is in contact with.
• The position of the point where a signal is left in the field remains fixed according to the observer's reference system. When the observer moves, this point moves with the field. Therefore, according to the observer, the position of the point never changes.
• The distance between the point where the signal is left in the field and the observer is covered by the signal. When the signal reaches the observer, the observer sees the Image Object at the point where the signal entered the field.
• The speed of a signal in the field is always constant, equal to the speed of light, c.
• The direction of the signal in the field is always towards the center of the field. The signal does not and cannot move in any other direction. The simple reason is that signals in the field are those that have set out to reach the observer at the center of the field. If they were to go to another object, they would not be in this field but in the field of that object.
• Signals traveling within the field are also carried with the field. Move the observer up and down. You will see that the signals do not change direction relative to the observer. Move the observer left and right. The speed of the signals relative to the field will not change.
• A change in the observer's speed or direction of movement does not alter the speed or direction of the signal relative to the field.

An Image Object is a virtual reality that can only be seen by the owner of the field. I cannot see the Image Object you see, and you cannot see the Image Object I see.

In the animation, in "Free" mode, you should drag the observer with the mouse. When you select the demo modes, the observer will move automatically.

DESCRIPTION:
This animation is the reverse of the first animation. Here, the observer is in motion, and the planet is stationary. In the animation, we observe where the observer sees the image of the planet. You might think, "This looks very strange?" Actually, it is not strange; it just appears different because we changed our observation window. In the previous animations, we were looking at the event from the observer's window. Here, however, we do not have such an opportunity and are observing the event externally. According to the observer, the position of the Image Object could only be found using mathematical calculations, and that is what has been done here. Otherwise, in terms of what is happening, there is no difference from what was explained above.

DESCRIPTION:
In this final animation, you will find everything we have seen so far and a bit more. The King and Queen are looking at each other. The animation shows where the King or the Queen, or both, see each other's Image Objects when either or both are in motion. After pressing the Play button, drag the King or Queen with the mouse. The Image Objects of the King and Queen are represented by figures surrounded by colored halos. In the animation, the Red color represents events related to the Queen, while the Blue color represents events related to the King.

In demo mode, you will see several ready-made examples. In demo mode, pay attention to where the King, Queen, and Image Objects are looking. Of course, Image Objects do not look or see, but they provide us with this information: "Some time ago, my Source Object was looking in that direction."