Super Battleship Reborn

Xiao Yu watched quietly, while the child Luca was still writing slowly.

I heard that masters No. 3 and No. 4 are doing research in this area. I have seen them on TV. They are so powerful. It seems that no matter what the problem is, they have no difficulty. There are only such powerful ones. Only people who can become the master's right-hand man can get such great honors as No. 3 and No. 4.

When I grow up, I must also become a scientist. I will move to the Paradise with my parents. I will also have my own independent laboratory on the Eternal Kingdom, and become a scientist like No. 3 and No. 3. A great figure like Number Four.

The Luca child put down his pen, and at the same time, the teacher's voice came from above the podium: Okay, put down your pens, it's time to hand in the paper.

Several Luca children stood up, followed their positions, collected all the papers, and handed them over to the podium. After the teacher announced that the get out of class was over, all the Luca children laughed and ran out of the classroom, but Xiao Yu was still staring blankly.

At this moment, in Xiao Yu's mind, turbulent waves turned up.

Xiao Yu thought of a way, a way that is likely to succeed.

Mobius ring? Mobius ring?

Just like the child Luca said, the method of making the Mobius ring is very simple, so simple that a dutiful son of a few years old can make it with just a piece of paper. But the truth contained in the Mobius ring is not simple.

When we were on earth, there was a widely circulated joke about the Zen master. It was said that a certain young man asked the Zen master why there was sorrow besides joy in the world. The Zen master asked the young man, asking him, is there any paper in the world that has only the front side but no back side?

In this joke, the young man brought a piece of People's Daily, but the Zen master directly.

This is of course just a joke, just read it. But in the world, there really is a piece of paper with only one side, and that is the Möbius ring. Just get your hands dirty, tear a strip of paper, turn one end over 180 degrees and merge with the other. Then run your fingers along the Mobius ring, and you can understand why it has only one side.

In other words, there is no distinction between the inside and the outside of the Möbius ring. This is an important point.

Assuming that the two-dimensional world is regarded as a piece of paper, and a circle is drawn on the paper, the circle becomes a cage of the two-dimensional world. In the two-dimensional world, you will have no way to escape from this circle. Because it has no flaws. This circle is like a sphere in the three-dimensional world. If you are imprisoned in a sphere, you will naturally have no way to get out unless you pass through a dimension higher than this world.

If you want to break through the blockade of a circle in the two-dimensional world, you can achieve your goal through the third dimension. If you want to break through a sphere in the three-dimensional world, you can go through the fourth dimension.

But the Mobius ring provides another method, that is, not passing through a dimension higher than this world. There is also a way to break through the blockade. In the two-dimensional world, you can turn the circle into a Mobius ring by distorting the space, because the Mobius ring has no distinction between inside and outside, you only need to walk a certain distance, and then restore the space to be flat , you walked out of the blockade without knowing it.

In the two-dimensional world, one can break through a circle through the Möbius ring, so, is there a way to break through a sphere in the three-dimensional world?

After all, the Mobius ring is only applicable to two-dimensional space, and in the two-dimensional space, the Mobius ring cannot exist, and it can only be manufactured in a three-dimensional world that is one dimension higher than it.

Then, is there something similar to the Möbius ring, which can break through a three-dimensional sphere without going through the fourth dimension?

The answer is that such a thing exists, and that is the Klein bottle.

Suppose you have a vase with no bottom, and then you extend the mouth of the vase, bend it down, let the mouth penetrate the body of the bottle, enter the inside of the bottle, put the mouth of the bottle where the bottom is, and it becomes A Klein bottle in a three-dimensional world.

The Klein bottle is an upgraded version of the Möbius ring. The Klein bottle manufactured according to the above method is only a simplified version of the three-dimensional world. The real Klein bottle cannot be manufactured in the three-dimensional world, just as the Möbius ring cannot be manufactured in the two-dimensional world. generally.

The mouth of a real Klein bottle does not need to penetrate the body of the bottle to connect to the bottom of the bottle. Because it is a product of the four-dimensional world, it is actually connected to the bottom of the bottle through the fourth dimension.

Like a Möbius ring, a Klein bottle has no inside or outside. That is to say, if you are inside a Klein bottle, you can go outside as long as you go straight forward without breaking through any blockade. Similarly, if you are outside the Klein bottle, you can Can walk into the bottle without hindrance.

Mobius ring, Klein bottle Xiao Yu chanted these two terms silently in his mind, and began to calculate quickly unconsciously.

To make a Klein bottle, the following two conditions must be met. First of all, one must have an extremely deep understanding of four-dimensional space, and second, a real four-dimensional space can be created.

Xiao Yu can't create a four-dimensional space, but there is a four-dimensional barrier next to Xiao Yu.

Then, there are only the following two points left for Xiao Yu to solve. One is the ability to bend three-dimensional space. In this regard, Xiao Yu has basically possessed this ability through the research of superluminal navigation. The second is the huge energy required to bend space. Xiao Yu also obtained this ability through in-depth research on element decay technology.

So, what is missing? Nothing is missing.

Xiao Yu began to get excited, Xiao Yu keenly felt that he had found the right direction.

This method is in line with all Xiao Yu's inferences.

The four-dimensional barrier is indeed so strong that it cannot be destroyed by a fourth-level civilization. The Klein bottle can be surpassed without destroying the four-dimensional barrier.

Only Xiao Yu can master it himself, and the rest of the fourth-level civilizations cannot master the four-dimensional space, which is not accessible to the fourth-level civilization. Through getting along with Taihao during this period, Xiao Yu obtained some relevant knowledge about the four-dimensional space, thus Only then has the ability to make Klein bottles.

The Klein bottle is likely to be the key to unlock the four-dimensional barrier...then, let's start trying. At this moment, Xiao Yu made up his mind.

Xiao Yu took a last look at the signature on the top of the folded stack of test papers on the podium in the classroom, deeply remembered the name of the child Luca, and then withdrew his spirit.

If you really break through the four-dimensional barrier through the Klein bottle, then you will become the fourth Luca with a title, and you will become Luca No. 5.

Xiao Yu muttered to himself, and immediately summoned all Lucca scientists to start a discussion in the auditorium.

Every Luca scientist who participated in the meeting had a worried and haggard look on their faces. Obviously, during this period of time, they didn't think of other ways, and none of them had a good rest.

Master, I don't know what's the matter with you calling us here? Luca Three asked.

I have a guess. Xiao Yu replied, I seem to have found a way to break through the four-dimensional barrier.

Huh? What way? What way? Luka No. 3 asked eagerly.

Klein bottle. Xiao Yu said a very short word.

In the auditorium, there was a moment of silence. It seems that the four words Klein bottle possesses supreme magic power, which can make all Lucca people fall into shock and cannot extricate themselves.

Klein bottle? Klein bottle? This kind of thing full of contradictions, can it really... help us? After a long silence, Luca No. 3 said this sentence with some difficulty.

The Klein bottle is indeed a thing full of contradictions. Its contradiction lies in that it cannot be truly manufactured in the three-dimensional world. But it was precisely these contradictions that gave Xiao Yu a way to break through a sphere in the three-dimensional world.

Don't forget, since you can break through the blockage of a two-dimensional circle in the two-dimensional world through the Möbius ring, why can't you break through a three-dimensional sphere in the three-dimensional world through a Klein bottle? blockade?

Xiao Yu replied.

Once again, the auditorium fell into silence. Obviously, the scientists in Lucca were thinking nervously.

Theoretically speaking, um, I mean, just theoretically speaking, it is completely feasible to break through the four-dimensional barrier through the Klein bottle, but the problem lies in how we create a Klein bottle full of contradictions. Bottle? After all, we are in a three-dimensional world. Luka No. 4 said.

We have elemental decay technology that can provide energy, we have faster-than-light navigation technology that can bend space, and we also have a four-dimensional barrier that can provide us with a fourth dimension, allowing us to place the mouth of the Klein bottle without passing through the bottle body. It can be connected to the bottom of the bottle, why can't we make it? Xiao Yu asked rhetorically.

Well, it sounds reasonable. Luka No. 3 said with some doubts, In short, this method is worth trying.

Of course. Xiao Yu said, This is the only way we have left. If this way works, we can break through the four-dimensional barrier. If this way doesn't work, we have no other way but to obediently wait for death .Then, let’s start fighting. I need you to help me calculate the curvature and find out how to make a Klein bottle...