PRESENTATION OF THE LOGIC USED AS A BASE
IN (c+v) (c-v) MATHEMATICS ANIMATIONS

THE GALILEAN RELATIVITY PRINCIPLE
ALBERT EINSTEINíS UNIVERSAL SPEED OF LIGHT PRINCIPLE

In this section, how (c+v)(c-v) animations are made is shown at the beginner level. While the techniques used in the animations that you will see in the other sections may vary, the animations you will see here are the base of all of them.

The (c+v)(c-v) mathematics is rooted in The Galilean Relativity Principle and Einsteinís Universal Speed of Light Principle. For this reason, the animations made with (c+v)(c-v) mathematics are always in harmony with The Galilean Relativity Principle and Einsteinís Universal Speed of Light Principle, and they contain the principles within themselves. Here you will also see how the preservation of these principles are ensured.

BALL IS MOTIONLESS, LAMP IS IN MOTION
PRESERVATION OF ALBERT EINSTEINíS UNIVERSAL SPEED OF LIGHT PRINCIPLE I

After pressing the Play button, drag the lamp with the mouse. As we will see, the lights going out of the lamp follow the straight line that connects the position of the lamp at that moment with the ball and then reach the ball. This situation is repeated for each light going out of the lamp. The incoming speed of lights towards the ball is always c.

Here, please pay attention to the fact that Albert Einsteinís Universal Speed of Light Principle is preserved. Independently of the speed and the direction of the movement of the lamp, the lights come towards the ball at c speed.

LAMP IS MOTIONLESS, BALL IS IN MOTION
PRESERVATION OF ALBERT EINSTEINíS UNIVERSAL SPEED OF LIGHT PRINCIPLE II

After clicking on the Play button, drag the lamp with the mouse. As we can see, when a light from the lamp goes out, the straight line connecting the position of the lamp at that moment and the ball is the travel route of the light. However, as can be seen, the motion of the ball causes the route lines and the lights that come towards the ball following the route lines to be carried in the direction of the motion of the ball. The speed of the lights coming towards the ball relative to the ballís reference system is c, i.e. constant, here as well.

Letís note that, relative to the reference system of the ball, Albert Einsteinís Universal Speed of Light Principle is preserved here, too. Independently of the speed of and direction of movement of the ball, the lights come towards the ball at c speed here as well.

I would like to point out that the necessity of addressing the Universal Speed of Light Principle in the way as we see here has never been thought of in Physics. Using the principle as you see here is peculiar to the Alice Law and it is the right method. The Universal Speed of Light Principle describes the speed of an electromagnetic wave relative to the reference system which the signal will arrive at.

 

DUAL COMPARISON
PRESERVATION OF GALILEAN RELATIVITY PRINCIPLE I

The Galilean Relativity Principle says: "Let us consider two reference systems that are in motion relative to each other. From the point of view of the laws of physics, it does not matter which of these two reference systems is in motion or which is motionless. The results should be identical in all aspects."

Taking this into account, letís compare the first and the second animations with each other and see if there is equality. Here, this comparison has been made.

On the left, the lamp is motionless - the ball is in motion; on the right, the lamp is in motion Ė the ball is motionless. When we drag the lamp on the right side of the animation, we are also dragging the ball on the left side so that ďthe position of the ball on the left side and the lampĒ is always equal to ďthe position of the ball on the right side and the lampĒ.

Letís click on the Play button and drag the lamp on the right side, and see the situation that occurs.

What is the result? We see that the Galilean Relativity Principle is preserved with precision. As can be seen, the positions of the balls and the lamps relative to each other, the positions of the lights going towards the ball, and the locations of the lines are identical in both cases.

TRIPLE COMPARISON
PRESERVATION OF THE GALILEAN RELATIVITY PRINCIPLE I

According to the Galilean Relativity Principle, it is not necessary for one of the two objects that are in motion relative to each other to be motionless in order for an identity to occur. If both reference systems were in motion, the situation would not change. Here, this comparison has been made.

On the Left: Lamp is motionless Ė Ball is in motion
In the Middle: Ball is motionless Ė Lamp is in motion
On the Right: Ball is in motion Ė Lamp is in motion

After clicking on the Play button, drag the lamp on the right side and examine the situation occurs.

As can be seen, The Galilean Relativity Principle is preserved in this situation with precision as well. The positions of the lights going towards the ball and the locations of the lines indicating the routes are identical in all three cases.

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