FOLLOW THE RABBIT

Han Erim
5 November 2005

Follow the Rabbit

Under the title Follow the Rabbit and within the scope of the Special Relativity Theory, I will publish a series of articles. This text is the first of that series. The reason I have chosen a friendly title like “Follow the Rabbit” is that the website aliceinphysics.com is a public site and a large part of its readers are people who are not physicists.

In this article I have summarized the first two sections of the Special Relativity part of the Alice Law (Relativity of Simultaneity and Relative Speed of Light) and tried to make them easier to understand. I assume that you have downloaded and read the Alice Law program. If you have not yet read it, please download and read it first. Otherwise, you may not be able to follow the rabbit and you may miss a lot.

I sincerely thank you, my valued readers.

Han Erim

Figure 1: Here, a man stands on the symmetry axis at the middle of the vehicle. On both sides of the vehicle, one light source is mounted. As we see, the distances AO and OB are equal. When the light sources are switched on, the light travels from both sides over the distances AO and BO and reaches the man simultaneously. This event occurs independently of the speed of the vehicle. This rule belongs to nature, and we have learned of its existence through experiments. As shown in the previous sections of the Alice Law, this rule has been accepted without debate and this event has constituted the REFERENCE POINT of the Special Relativity Theory described in the Alice Law. I will use this example with slight modifications in order to match the sections within the Alice Law. For this reason, neither the figure nor the logical conclusions drawn from it will surprise you.

Figure 2: Now let us focus on the “Reference Point” and try to find its basic principles.

Reference Point: If the lights are switched on simultaneously and the distances of the lamps are equal, the man in the vehicle will see both lights turn on simultaneously.

Based on the Reference Point we can write the following principles:

1) The distances AO and BO are equal at the moment when the lights are switched on. AO = OB
2) The event is independent of the speed of the vehicle.
3) The event is independent of the length of the vehicle.
4) The man inside the vehicle measures the speed of the light that reaches him as “c”.

Let us assume that the lights are turned on at time t₀ and reach the man at time t₁.

In this case, the travel time of the lights is t = t₁ - t₀, and c = AO/t = BO/t (c: speed of light).

Now let us change our reference frame and observe the “Reference Point” event from the ground reference system.

1) At the moment when the lights are switched on, the midpoint of the vehicle is at a point X₀ on the ground.
2) While the light travels toward point O inside the vehicle, the vehicle itself is also moving along the ground.
3) When the light reaches the midpoint of the vehicle, the midpoint of the vehicle is at a point X₁ on the ground.
4) During the event, the vehicle travels a distance d. This distance is given by d = v · t.
(Explanation is on Figure 2.)

The principles explained here are sufficient to reach the Special Relativity Theory.

Figure 3: Now let us place a ruler on top of the vehicle. From this moment on, the ruler will be carried by the vehicle. Using the slider button, you can change the positions of the lights along the ruler. Move the lights outward, beyond the vehicle.

As we see, we always keep the distances of the lights to the symmetry axis equal. Therefore, regardless of the distance of the lamps from the symmetry axis, when the lamps are switched on, the man will see the lights reach him simultaneously.

As we can see, we always preserve the equality AO = OB at our “Reference Point”.

Figure 4: If you have any doubts because of the new positions of the lamps, let me remind you of the third principle we just wrote. The event is independent of the length of the vehicle. The vehicle can be shorter or longer. The result must not change.

If you believe it will put your mind and heart more at ease, you can choose a longer vehicle for yourself. The length of the vehicle you choose can even be longer than the ruler.

Figure 5: Now let us bring in the previous sections of the Alice Law.

On the ground there are two light sources and a man between them. The distances of the light sources to the man are equal. When the lights are switched on simultaneously, the man will see both lights turn on at the same time. Here we will use different types of light sources.

We mount red triangles on the poles that we place on the ground, at equal distances from the symmetry axis.

Figure 6 and 7: In addition, we will use two green triangles mounted on the ruler. We place the green triangles at equal distances from the symmetry axis of the vehicle. AO = OB

As light sources, I use two chemical substances. We apply these chemicals to the tips of the triangles. When the two triangles touch each other, a chemical reaction starts and as a result of this reaction, light is emitted.

Why did we do this? Because from this moment on it is impossible to say from which reference frame (the vehicle’s reference frame or the ground’s reference frame) the light is emitted. The emitted light now comes from an uncertain reference system, and the light will be emitted only for a single instant.

Additionally, when the light is emitted, the photons produced by the reaction exist only on the surface of the resulting light sphere. There will be no photons in the interior of the light sphere or outside it.

Figure 8: I am not including in this experiment the results of the existing Special Relativity theory (length contraction, space contraction, time dilation, etc.). Because I have shown in the previous sections of the Alice Law that they are incorrect.

However, personally you may still have some reservations and doubts and may wish to include the results of the existing Special Relativity in this experiment. You can easily do this: by using the slider button you can shrink the length of the vehicle and the space around it.

The animation shows that due to the speed of the vehicle, the vehicle and the ruler on it have become shorter by some amount. Move the button until the red and green triangles are aligned. You will see that the existing Special Relativity is ineffective on the experiment we are about to perform. Therefore, you can consider our experiment in both ways — assuming that length contraction exists or does not exist.

In this thought experiment, the distance between the red triangles and the distance between the green triangles are equal. In summary: when the triangles on the left side touch each other, the triangles on the right side also touch each other.

I have changed the observer inside the vehicle. Now it is a woman.

Figure 9: The vehicle moves from left to right with speed “V”. The woman standing at the middle of the vehicle reaches the symmetry axis.

At this moment, WE KNOW FOR CERTAIN that the triangles have touched each other, that as a result of the chemical reaction photons have been produced (light has been emitted), but the emitted light has not yet started its journey.

This figure is identical to the “REFERENCE POINT” that we described at the beginning of the section. Here we have only changed the positions and types of the light sources and kept all its principles.

Figure 10: Now let us see what happens next. WE KNOW FOR CERTAIN that the woman will see the lights simultaneously on the right side of the symmetry axis of the ground. This result is a natural consequence of the “REFERENCE POINT”.

The light coming from the triangles will also reach the man on the ground. But at this stage, let us focus our thoughts only on the woman in the vehicle and the light reaching her. You can switch off the light reaching the man on the ground by using the “Turn Off” button.

If we examine the figure carefully, we see that, ACCORDING TO THE MAN ON THE GROUND, the speed of the light beams going toward the woman in the vehicle is NOT “c”. Because, according to the man on the ground, the lights emitted from both sources have started their journey simultaneously and from equal distances. Is there an error here or not? Let us re-examine the event more carefully in the next figure.

Figure 11: To obtain a very clear result, let us add a second vehicle to the event and use the symmetry principle. You cannot see the second vehicle yet because at this moment it is directly behind the front vehicle. When you press the Play button, you will see it. This vehicle moves with the same speed as the front one, but from right to left.

WE ARE ABSOLUTELY SURE that, due to the symmetry principle, the same events will occur simultaneously in both vehicles. If one of the women sees the lights, the woman in the other vehicle will also see them.

Let me express this more clearly: ACCORDING TO THE MAN ON THE GROUND, the events taking place in both vehicles are simultaneous and identical.

Now we have obtained the same result more clearly: ACCORDING TO THE MAN ON THE GROUND, the speeds of the light beams going toward the vehicles are NOT “c”.

Figure 12: Now let us observe the same event from a top view.

We know that the emission time of the lights (t₀) is the same in all three reference frames.

• 1) The first female observer (the upper one) sees the lights at time t₁ and distance x₁. The time t₁ that belongs to this woman corresponds to a certain time t′ for the man on the ground. Thus we can write t₁ = t′.
• 2) The second female observer (the lower one) sees the lights at time t₂ and distance x₂. The time t₂ of this woman also corresponds to the same time t′ of the man on the ground.

Based on the symmetry principle, we write t₁ = t₂ = t′.

In this case, according to the man on the ground, the speeds of the light beams going toward the vehicles must be: c₁ = x₁/t′ and c₂ = x₂/t′.

Here we clearly see that c₁ > c₂. This result shows that, ACCORDING TO THE MAN ON THE GROUND, the speeds of the light beams going toward the vehicles are NOT “c”.

Figure 13: The result that we obtain from this logical experiment leads us directly to the SPECIAL RELATIVITY THEORY.

All observers are on the symmetry axis at the moment when the lights are emitted. Naturally, the women will not see the lights while they are still on the symmetry axis. At the moment they see the lights, the first woman will be on the left side of the symmetry axis and the second woman will be on the right side.

You may think that the result obtained here is very simple, but this result refutes the EXISTING SPECIAL RELATIVITY THEORY and constructs a NEW SPECIAL RELATIVITY THEORY.

BUTTON 1: According to the existing Special Relativity theory, the emission of the light must occur before the women reach the symmetry axis, and all observers must see the emission of light while they are on the symmetry axis (see: Alice Law, Time Travel section).

BUTTON 2: In this logical experiment we have clearly seen that the scenario described in the paragraph above cannot occur. Because the triangles cannot touch each other unless the women reach the symmetry axis. If they do reach the symmetry axis, then this is already the Alice Law. Isn’t that so?

YOU MAY LOVE PHYSICS, BUT YOU MUST PROTECT YOUR MIND.
The existing Special Relativity Theory died when the Alice Law was born.