DIMENSION SHIFT

FIRST PART ANIMATIONS
The relative speeds of objects cause their Image Objects to stretch or contract in the direction of motion. This deformation occurring on the Image Object is called Dimension Shift. Since it has an impact on our visual perception, Dimension Shift emerges as an important Relativity Effect.

The animation list is arranged in a specific order. I recommend following the order and watching the animations here after reading the book to gain prior knowledge. Dimension Shift falls under the topic of Image and Source.

THE ACT OF SEEING
Before explaining the Dimension Shift phenomenon, I want to illustrate how the act of seeing occurs using an animation. Electromagnetic waves reaching our eyes come from different objects and distances. Let us assume we take a snapshot with our eyes. This snapshot will be formed by electromagnetic waves that started at different times but reached our eyes simultaneously. The animation above depicts this situation. Electromagnetic waves starting from different places at different times reach the observer simultaneously, and the observer perceives their surroundings with the electromagnetic wave packet that reaches them, resulting in the act of seeing. In the animation, the signals accumulating on the circle approaching the observer’s eye represent the electromagnetic wave packet being formed.

Any anomaly in the formation of the electromagnetic wave packet results in Dimension Shift. This is because the electromagnetic wave packet determines what information we perceive. If the packet contains an anomaly, the Image Objects we see will naturally contain that anomaly. The movements of objects affect the formation of the electromagnetic wave packet and are the main cause of anomalies. As the electromagnetic wave packet is formed, the dimensions of objects and their movements together influence the formation of the packet, ultimately resulting in Dimension Shift.

THE REASON AND MATHEMATICS OF DIMENSION SHIFT
I - OBJECTS MOVING AWAY FROM EACH OTHER
This animation relates to the section in the book that explains the mathematics of Dimension Shift.

As seen in the animation, when the right end of the ruler is at point A, a signal starts from this point. If the ruler were stationary, this signal would match the signal starting from point B at the left end of the ruler. However, since the ruler is in motion, the signal matches the one starting from point C when the left end of the ruler reaches point C. As a result of this match, we can assume an electromagnetic wave packet is formed. When the electromagnetic wave packet reaches the observer, they see the Image Object of the ruler. If the ruler were stationary, the observer would see the ruler's image between points A and B. However, the motion of the ruler changes this, and the observer sees the ruler’s image between points A and C. This causes the observer to perceive the ruler (Source Object) of length AB as an Image Object of length AC.

The Image Objects of objects moving away from each other contract in the direction of motion, depending on the speed of motion.

THE REASON AND MATHEMATICS OF DIMENSION SHIFT
II - OBJECTS APPROACHING EACH OTHER
This animation also relates to the section in the book that explains the mathematics of Dimension Shift. The flow of events develops similarly to what was described above. You can also read the explanation of the animation in the book.

The observer perceives the ruler (Source Object) of length AB as an Image Object of length AC.

The Image Objects of objects approaching each other stretch in the direction of motion, depending on the speed of motion.

HOW DOES DIMENSION SHIFT OCCUR WHEN THE OBSERVER IS STATIONARY?
In this animation, we see the formation of the electromagnetic wave packet in more detail. The circle, with its center at the observer’s eyes and approaching the observer at the speed of c, represents the electromagnetic wave packet.

The small light yellow dots on the car add their signals to the circle as the circle passes over them. Thus, as the circle approaches the observer, a growing electromagnetic wave packet is formed. The small red cross marks show where each signal joins the packet. When the electromagnetic wave packet reaches the observer, the observer sees the image of the car with the information brought by the packet. Naturally, the observer sees whatever information the electromagnetic wave packet has brought to them.

We can observe what information the electromagnetic wave packet brings to the observer here. The small red crosses provide this information. These crosses show where the signals reaching the observer originated. Since the small yellow dots are placed on the car’s edges, the positions of the red crosses determine the boundaries of the Image Object. The Image Object will be located within these boundaries. As we can see, the motion of the car changes the distribution of the small red crosses, and this change results in a change in the dimensions of the Image Object.

HOW DOES DIMENSION SHIFT OCCUR WHEN THE OBSERVER IS IN MOTION?

Here, we see how Dimension Shift occurs when the observer is in motion. According to Galileo’s Relativity Principle, if two objects are in motion relative to each other, it does not matter which one is stationary and which one is moving. The resulting outcome must be identical for both reference systems. This animation is based on the same logic as the previous one, but I want to draw your attention to the difference in the explanation here.

The light yellow dots leave their signals in the observer’s field as the circle passes over them. The red cross marks show where the signals enter the field. Here, we see the mathematics of (c+v)(c-v) at work. Note that the red crosses are carried by the field in the direction of the field’s motion and that their positions remain unchanged relative to the observer’s reference system. Also, pay attention to the motion of the circle; while the circle approaches the observer at the speed of c, it is also carried in the direction of the observer’s motion. This is natural because the circle essentially represents the signals traveling within the observer’s field and simultaneously reaching the observer. When the electromagnetic wave packet, or circle, reaches the observer, the observer sees the Image Object within the boundaries of the red crosses marked on their field. The positions of the red crosses within the field give the Dimension Shift occurring on the Image Object.

As seen in this example, by including the Concept of Field in events where we need to consider a moving reference frame, we can more easily express and understand how an event occurs.

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Note: In my later studies, I renamed "Dimension Shift" as "Length Shift." Both names describe the same physical phenomenon.