Chapter 192: Only 1 side of paper

Xiao Yu watched quietly, this Luca child was still slowly writing.
"I heard that adults No. 3 and No. 4 are conducting research in this area. I have seen them on TV. They are so good. It seems that no matter what the problem is, it is not difficult for them. Only in this way can a person become a good assistant to the owner, and can obtain such great honors as No. 3 and No. 4. "
"When I grow up, I must also become a scientist and take my parents to live in the Paradise. I will also have my own independent laboratory in the Eternal Kingdom and become like the three and A great figure like Number Four. "
The Luca child put his pen down. At the same time, the teacher's voice came from the podium: "Okay, put down your pen, it's time to hand in the paper."
A few Luca children stood up, gathered their papers along their respective positions, and handed them over to the podium. After the lecturer announced the end of the class, all the Luca children ran out of the classroom with a smile, but Xiao Yu still stared blankly here.
At this moment, Xiao Yu's head turned into a rough sea.
Xiao Yu thought of a way, a very likely way to succeed.
"Mobius Ring? Mobius Ring?"
As the Luca child said, the method of making the Mobius ring is very simple, as simple as a few years old filial son, just find a piece of paper and you can make it. But the truth contained in the Mobius ring is not simple.
While on earth, there was a joke about Zen Master that spread widely, that is, a young man consulted Zen Master and asked why there is sadness besides joy in the world. The Zen master asked the young man, and asked him, is there any paper in the world with only the front and no back?
In this joke, the youth brought a People's Daily and was directly directed by a Zen master.
This is of course just a joke. But in the world, there is only one side of the paper, and that is the Mobius ring. Just do it yourself, tear a piece of paper, flip one end 180 degrees and merge with the other end. Then use your fingers to make a circle around Mobius to understand why it has only one side.
In other words, the Mobius ring has no inside or outside points. This is an important point.
Suppose the two-dimensional world is regarded as a piece of paper, and a circle is drawn on this paper, and this circle becomes a cage for the two-dimensional world. In a two-dimensional world, you will have no way out of this circle. Because it is not flawed. This circle is like a sphere in a three-dimensional world. If you are detained in a sphere, you naturally can't make it out unless you pass a higher dimension than this world.
In the two-dimensional world, if you want to break the blockade of a circle, you can achieve the purpose through the third dimension. If you want to break through a sphere in the three-dimensional world, you can pass the fourth dimension.
But the Mobius loop offers another way, namely, not to pass the dimension higher than the world. You can also break through the blockade. In a two-dimensional world, you can transform this circle into a Mobius ring by twisting the space, because there is no inside or outside of the Mobius ring, you only need to walk a distance and then restore the space to level You have unknowingly stepped out of the blockade.
In a two-dimensional world, a circle can be broken through a Mobius ring.So, is there a way to break a sphere in a three-dimensional world?
After all, the Mobius ring is only suitable for two-dimensional space, and in two-dimensional space, the Mobius ring cannot exist, and it can only be made in a three-dimensional world one dimension higher than it.
So, is there a kind of existence similar to the Mobius ring that can break through a three-dimensional sphere without passing the fourth dimension?
The answer is that this kind of thing exists, and that is the Klein bottle.
Suppose you have a vase without a bottom, then you extend the mouth of the vase, bend it down, let the mouth penetrate the bottle, enter the inside of the bottle, place the mouth of the bottle where it was originally the bottom, and it becomes A three-dimensional world of Klein bottles.
The Klein bottle is an upgraded version of the Mobius 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 truly manufactured in the three-dimensional world. general.
The mouth of a real Klein bottle does not need to penetrate the bottle body to connect to the bottom of the bottle. Because it is the product of a four-dimensional world, it is actually connected to the bottom of the bottle through a fourth dimension.
Like the Mobius ring, the Klein bottle has no inside or outside. In other words, if you are inside a Klein bottle, you just need to go straight ahead without breaking any blockades, and you can go outside. Similarly, if you are outside the Klein bottle, you also Can walk into the bottle without hindrance.
"Mobius ring, Klein bottle" Xiao Yu silently thought about these two terms in his head, and began to calculate quickly without even realizing it.
To make a Klein bottle, two conditions must be met. First, it is necessary to have a deep understanding of the four-dimensional space, and secondly, a true four-dimensional space can be created.
Xiao Yu cannot create a four-dimensional space, but there is a four-dimensional barrier in the four-dimensional space next to Xiao Yu.
Well, there are only the following two points that need to be resolved by Xiao Yu. The first is the ability to bend three-dimensional space. At this point, Xiao Yu has basically acquired this ability through the research of super-light speed navigation. The second is the huge energy required for curved space. This is also achieved by Xiao Yu's in-depth study of elemental decay technology.
So what is missing? Nothing is missing.
Xiao Yu began to get excited, Xiao Yu keenly felt that he had found the true right direction.
This method accords with all inferences of Xiao Yu.
The four-dimensional barrier is indeed so powerful that it cannot be destroyed by the fourth-level civilization. The Klein bottle can be surpassed by not destroying the four-dimensional barrier.
Only Xiao Yu can master it, and the rest of the fourth-level civilization cannot master the four-dimensional space. It is not accessible to the fourth-level civilization. Through the time with Taihao, Xiao Yu obtained some relevant knowledge of four-dimensional space. Only then has the ability to make Klein bottles.
"The Klein bottle is likely to be the key to opening the four-dimensional barrier ... then, let's try it." At this moment, Xiao Yu made up his mind.
Xiao Yu finally glanced at the top of the classroom podium, and the top of the folded stack of examination papers had the name of the child Luca in his mind, and then recovered his spirit.
"If you really break through the four-dimensional barrier through the Klein bottle method, then you will become the fourth Luca with a title and you will become Luca V."
Xiao Yu murmured to himself, immediately convened all Lucca scientists and started a discussion in the auditorium.
The expressions of anxiety and anxiety were on every Luca scientist's face. Obviously, during this time, they did not think of the other ways, and they did not rest well.
"Master, I don't know what happened when you called us?" Luca III asked.
"I have a guess." Xiao Yu replied, "I seem to have found a way to break through the four-dimensional barrier."
"Well? What method? What method?" Luca III asked eagerly.
"Klein bottle." Xiao Yu said a very short word.
There was silence in the auditorium for a while. It seems that the four words of Klein bottle possess the supreme magic power, which can make all Lukas shocked and unable to extricate themselves.
"Klein bottle? Klein bottle? This kind of contradictory things, really ... can help us?" After a long silence, Luca III said this with some difficulty.
The Klein bottle is indeed a contradiction, and its contradiction lies in that it cannot be truly manufactured in the three-dimensional world ~ EbookFREE.me ~ But it is precisely these contradictions that gave it to Xiao Yu A way to break through a sphere in a three-dimensional world.
"Don't forget, since you can break the blockade of a two-dimensional circle in the two-dimensional world through the Mobius ring, then in the three-dimensional world, why can't you break through a three-dimensional sphere through a Klein bottle? Blockade? "
Xiao Yu replied.
Once again there was silence in the auditorium. Apparently, Lucca scientists were thinking nervously.
"Theoretically, well, I mean, it is only theoretically possible to break through the four-dimensional barrier through the Klein bottle, but the question is how do we create a Klein full of contradictions Bottle? After all, we are in a three-dimensional world. "Luka IV said.
"We have elemental decay technology to provide energy, we have super-light speed navigation technology to bend space, and we also have a four-dimensional barrier to provide us with a fourth dimension, which allows us to pass the mouth of the Klein bottle through the body of the bottle It can be connected to the bottom of the bottle, why can't we make it? "Xiao Yu asked.
"Well, it sounds very reasonable," Luca III said doubtfully. "In short, this method is worth trying."
"Of course." Xiao Yu said, "We have only one solution left. If this solution works, we can break through the four-dimensional barrier. If this solution is not feasible, we will have no other solution, only obediently waiting to die. ... then let's start fighting. I need you to help me calculate the curvature and find out how to make a Klein bottle ... "