Mathematics of Relativity

Han Erim

May 7, 2012


MATHEMATICS OF RELATIVITY

Alice Law has developed over a long period. In parallel with this development, its explanation has also become simpler. The initial proofs I made about Alice Law were quite detailed (covering the period 2000–2005). Today, I can prove it much more easily and simply.

The proofs you will see here show how the Theory of Relativity should be. These proofs also demonstrate how electromagnetic interaction occurs. Therefore, they are very important both for the Theory of Relativity and the Electromagnetic Theory.
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Figure 1 

The proof related to Alice Law's theory of relativity is based on a familiar foundation.

Let’s imagine a rectangular box. There is a light source exactly at its center. When the lamp is lit, the light rays will reach the walls of the box simultaneously. The motion of the box, its speed or direction, does not alter this simultaneity. This simultaneity is valid both for an observer inside the box and for one outside.

No matter who it is—even if it’s a famous physics professor—if someone says that, for the outside observer, the light does not reach the walls simultaneously, DO NOT BELIEVE THEM. Because such people are victims of a past error made during the establishment of electromagnetic theory. Their reasoning system has been damaged by that mistake. So when they look at the figure, forgive them, but they see things cross-eyed. They can't even find their own way, let alone show you the path.

Physicists are generally intelligent people. But if a mistake has been made in the core theory of physics, and you are unaware of it, you will definitely turn into a fool; your intelligence won’t save you. I used to be afraid of saying such things, but I no longer care.

What matters here is that the movement of the box, its speed, and direction do not alter this simultaneity. Whether the outside observer is stationary or moving also changes nothing. The lights reach the walls of the box simultaneously for both observers. Moreover, the arrival time of the light is the same for both. The figure clearly shows this. Everything is exactly as the figure shows.

In the figure, you can change the box’s horizontal and vertical velocity.

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Figure 2

Now let's do this: Cut the box lengthwise into two equal parts using scissors. Suppose we also cut the central lamp and its wires. Let’s move both parts so they pass by each other. When the wires of the lamp touch, a light flashes.

How will the light from the lamp behave? Naturally, we must apply the previous page’s situation here for both parts. Doing so leads to what we see on this page: the light reaches the walls of both parts at the same time. But now there are two parts, and their coordinates differ. See how interesting the result is. This figure is the simplest and most direct proof of how light behaves.

Now let’s consider the observer on the ground. Could the speed of the light reaching the box parts' walls be c for this observer? Of course not, the figure makes this obvious. Since the parts are at different coordinates when the light arrives, this is not possible. Oh, I hear an objection...

– Oh come on, of course it’s c. The speed of light is the same in all reference frames. Due to the speed of the box parts, their spaces have contracted and curved. So this figure does not reflect reality.

Aha… There’s another corrupted mind for you. Look, they can’t even comprehend what such a simple figure shows. A mistake in physics theory devours a mind like a worm. It blinds a person to even the fly on their nose. Eventually, it turns them into a zombie walking in twilight. Honestly, if only they were the only ones becoming zombies, I wouldn’t care much. But they bite. And those they bite become zombies too. Don’t let them bite you. That bite is truly nasty and will make you sick. Do you know how many times they’ve tried to bite me? Many times they even succeeded. But I had the antidote. That’s how I recovered every time.
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Figure 3

Now let’s examine what the figure tells us.

First, let’s place an observer on the ground and think from their reference frame. Four different light beams are going to four different walls. According to this observer, the light beams arrive simultaneously. Given this situation, can the speed of the light beams reaching the walls of the parts be c according to this observer? Since the parts are at different coordinates at the time the light arrives, it is not possible.

Let’s find the speed of the light according to the ground observer. The figure already shows how to do this. We already know that for the observers inside the parts, the speed of light reaching their own walls should be "c". Based on this, the figure gives us a (c+v)(c−v) kind of mathematics for the observer on the ground. Here, v is the speed of the box parts. Thus, we obtain (c+v)(c−v) mathematics in the simplest way.

In short, (c+v)(c−v) mathematics states that the speed of an electromagnetic wave is c only relative to its target, independent of other reference systems. (c+v)(c−v) mathematics is a name. We can also call it c±v mathematics.

This mathematics belongs not only to the Theory of Relativity but also forms the foundation that Electromagnetic Theory should adopt. Because if you pay attention, the figure shows us how light—that is, an electromagnetic wave—actually behaves.

When physicists began to construct electromagnetic theory, they assumed that the speed of light in a vacuum is c. And they built all their theories on this assumption. But this assumption was incorrect and became a fatal mistake. It dates back a long time—before Einstein, even before Maxwell. This figure already shows the assumption is wrong. Now be careful. Look how far this goes.

But the mistake didn’t stop there; then they made a second error that sealed their fate. They assumed that light travels at speed "c" for all reference frames. Not only did they assume it—they decided among themselves that it must be true. If only they had done enough experiments. But the damage was done. Their thinking, already corrupted, was bent and crumpled like paper. They collectively plunged into abstract nonsense. Those who tried to stop were pushed from behind. Yet the place they were heading to—that abyss—was a kind of hell. A hell they created with their own minds. It grew stronger and eventually dominated all of physics. Even today, they live happily inside that hell, and each day it eats away a bit more of their minds. If only there were a mirror to show them how they really look. Don’t try to enter that hell. It’s not a nice place.
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Figure 4

Now let’s do the same proof with a slight modification.

This time, place two lamps on both sides of the box, as shown in the figure. If both lights flash at the same time, they will reach the observer in the center of the box at the same time. The speed and direction of the box do not change the simultaneity of the light reaching the center. Whether we observe from inside or outside the box, this remains unchanged.

In education, there’s a general rule: you don’t question the correctness of the information given—you just absorb it. The student’s duty is to learn, and the teacher’s duty is to teach. Knowledge is passed from generation to generation this way. It has been so since ancient times and will likely continue. But here, we see how important the accuracy of the knowledge being taught is. The information must be correct. If not, it must be corrected. And correcting it is not the student’s job—it’s the teacher’s responsibility.

Now let’s come to how this big mistake in physics can be corrected. If a physics teacher looks at the figure above and still says, “Well, this isn't right,” then how do we fix it? Honestly, I don’t know. I’m having a hard time even finding words to describe the simplicity of these figures anymore. All I can do is write—and that’s exactly what I’m doing.
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Figure 5

Once again, we split the box lengthwise into two equal parts. We place one observer in each part. We move the parts so they pass by one another. When the wires of the lamp touch, the lights flash. From this, we again obtain the same behavior of light and once more derive the (c+v)(c−v) mathematics. As a result, light travels at speed c relative to the target it is reaching.

Let me tell you a bit about the young zombies. These ones are usually harmless and often even funny. Their bite isn’t very strong, so they don’t make you sick easily. To become a real zombie, they need a few years of zombie training. Usually, they also need a zombie who pats them on the back and says, “Well done, nice bite.”

Protect yourself from the zombies in physics. Right now, they are everywhere within the field—they’re crowded, they’ve invaded every area. They’ve even taken over other fields like astronomy and astrophysics. They constantly clone themselves and multiply even more. The situation is truly dire. I watch it like a horror movie, but it’s happening in real life.

Actually, for a long time, I didn’t realize they had turned into zombies. I didn’t understand how sick they were or how serious the disease had become. But now, I clearly see their true faces and their inner states. I try to warn people about this threat as much as I can. And I also have a very good antidote I can offer you. If you use it, even if you’ve been bitten, you’ll fully recover, and from then on, you won’t get sick again. The Alice Law in your hands is the antidote to this relentless disease. You may choose to use it.

I’m used to being bitten now. It doesn’t hurt much anymore. But there’s one thing I still can’t get used to: I can’t understand why a zombie would want to remain a zombie. I guess it makes them happy.
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Figure 6

Finally, when we place the light sources outside the box, we observe how the light behaves. I’m only presenting this here. You can read the proof that light behaves this way in Alice Law Version 5 or online at aliceinphysics.com. I’ve done this proof so many times, and I’ve grown so tired of writing it out, that I decided not to include it here.

Besides, I know that showing such proofs to a zombie doesn’t mean much. Their eyes are blurry, their ears hardly hear anything, and their brains are eaten away by the disease. Now I speak freely. In the past, when writing, I used to hold myself back. “Don’t say this, they might take offense.” “Can this really be written?” “That’s too harsh, let me soften it a bit…” I don’t care anymore who gets offended. That’s not the issue.

Physicists in the past did not fulfill their responsibilities and made mistake after mistake. Moreover, they made these mistakes in an area like electromagnetic theory—which is considered the backbone of physics. The entire problem stems from this. Even today, they have not measured the speed of light heading toward a moving object. What happens if you don’t measure it? This happens—you become a zombie. Why didn’t you measure it? They make baseless claims, and with absurd theories, not only harm themselves but mislead others as well. And they call themselves physicists. When asked what theory they know best, they shamelessly say “Electromagnetic Theory.”

Ohhhh. I feel a little relieved. What would I have done if the internet didn’t exist? How could I have made my voice heard to you? The world has become one big home. The internet is truly a huge opportunity—it really shrinks the world. Right now, you’re probably reading this from some unknown corner of the planet.

One thing is certain: it is you who brought Alice Law to this point. Your interest has always kept me going. Your downloads of the Alice Law programs, your reading, your visits to aliceinphysics.com—all of this has given me the drive to keep working. Alice Law has continued to evolve and renew itself to reach its current beautiful state.


Right now, I need your active support more than ever. Spread the word about Alice Law wherever you can. Tell your friends, your family, your professors about it. Make it a topic of discussion in forums, blogs, and news platforms. Use the program's message system to send messages. Physicists must understand that this is not a game. As long as they continue to resist and stay silent, we will increase the pressure. We will absolutely conduct the Alice Law experiment, and we will continue the pressure until it is officially included in school curriculums. I count on your help.

Right now, the zombies are conducting experiments in France with a particle accelerator operating at who-knows-how-many billion electron volts. Such high energy levels have never been reached before. If they had studied the results of Alice Law, they might never have considered reaching such energy levels. I don’t know—maybe it’s harmless, but these kinds of operations leave no room for error in the core theory. Giving such power to people who misunderstand physics is absolutely not right. This time, we’ll all pay the price for their mistake.

The (c+v)(c−v) Mathematics for Electromagnetic Theory

As we saw in the proofs, the correct mathematical framework that explains the behavior of light is the (c+v)(c−v) mathematics. Let me repeat: (c+v)(c−v) is a naming convention. We can also refer to the same math as c±v mathematics. This mathematical model expresses that light—and more generally, electromagnetic waves—travel at speed c relative to their target.

In fact, (c+v)(c−v) mathematics is unconsciously used in today's electromagnetic theory. Here’s why: While writing the equations of Electromagnetic Theory, the interaction between moving frames relative to each other was completely ignored. Therefore, the equations currently used in Electromagnetic Theory reflect the equalities between stationary frames only. This situation corresponds to v = 0 in (c+v)(c−v) mathematics, which means the frames are motionless relative to one another.

Because Electromagnetic Theory was incomplete from the start, naturally, when it is applied to moving frames, it inevitably yields errors. The (c+v)(c−v) mathematics is the framework that Electromagnetic Theory should truly be based on. This math extends it to include electromagnetic interactions between moving frames.

If (c+v)(c−v) mathematics had been used from the very beginning in building Electromagnetic Theory, there would never have been a need for a separate Theory of Relativity. Topics like time dilation, length contraction, and simultaneity all fall under the results of (c+v)(c−v) mathematics.
The Reason Behind (c+v)(c−v) Mathematics:

At first glance, (c+v)(c−v) mathematics may seem surprising. After all, it's hard to believe that an electromagnetic wave would know the speed of its destination and adjust its own speed to remain c relative to it. But of course, electromagnetic waves don’t actually do that. They travel by using the fields of objects.

The reason behind the emergence of (c+v)(c−v) mathematics can be easily explained through fields. That’s why fields play a very important role in the Relativity Theory of Alice Law. In the next section, we will focus on fields.
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