Chapter 309 Overthrowing All His Theorems (33, plus more)
Sometimes Chen Xiaoxin doesn't understand why Mochizuki Shinichi has so many fans in China, especially since he added the content of Little Days Imperialism in his paper. But it still can't change the views of some people in the country about this person. Even after it was finally proved that he was a complete liar, there are still countless people who believe in him and his theory.

The confused Chen Xiaoxin just uploaded the paper to arXiv, but the paper was locked because just one paper was not enough to completely defeat Mochizuki Shinichi's soul. At least two papers would be needed.

“I’m speechless.”

"Why do I have such admiration for a person who wants to revive small-time imperialism?" Chen Xiaoxin frowned, with a confused expression on his face, but when he thought about it carefully, it was not very surprising. After all, there are all kinds of birds in the forest.

Calm down
Chen Xiaoxin is preparing to start writing his second paper, which is naturally a paper on the far Abelian field.

In fact, Shinichi Mochizuki did make some contributions in the field of far Abelian geometry, but his contributions were relatively small. After all, even the field of far Abelian geometry is so niche. If it weren't for Shinichi Mochizuki, Chen Xiaoxin wouldn't even want to pay attention to him, but there was no way. If he wanted to completely defeat him, he had to start from this field.

Shinichi Mochizuki's main contribution in this field is two theorems. One of them uses the information of Abel's etale cohomology and the properties of Hodge-Tate Galois representation to construct the isomorphism of curves. As long as this theorem is refuted, Shinichi Mochizuki will be destroyed.

of course,

a bit difficult.

However, Chen Xiaoxin still found a breakthrough point. He discovered that many contents in Mochizuki Shinichi's work were inextricably linked to hyperbolic geometry, including his bullshit theory, which was, in a sense, an imitation of hyperbolic geometry. It was a pity that his level was limited and the imitation was not perfect.

Hyperbolic geometry
Chen Xiaoxin pursed his lips and wrote down the basic content about Minkowski space on the paper. This is a set defined as real vectors. qm((t, x, y, z))=-c^2·t^2+x^2+y^2+z^2. In a sense, hyperbolic geometry is more fundamental to the physical universe than elliptical or Euclidean geometry.

The reason is very simple. On a very small scale, the physical universe is neither Euclidean nor elliptical, but Minkowski. It just so happens that Minkowski space has a close relationship with hyperbolic geometry.

Chen Xiaoxin leaned back in his chair and looked up at the ceiling. Various mathematical symbols kept flashing before his eyes.

If the coordinate changes in the special theory of relativity are nothing more than hyperbolic isometry, then isn't the path of a uniformly moving object in space and time a line in Minkowski space? Back to the concept of a two-dimensional topological manifold, a surface means that for every point on the manifold, there is a surrounding neighborhood.

Wait!
Let's allow the group to have the concept of hyperbolicity, then isn't every group hyperbolic?
Chen Xiaoxin shuddered violently all over. This feeling was even stronger than the one he had in the morning when he had a fight with a petite and beautiful young woman. Countless inspirations were like a volcanic eruption, rushing to every cell in his body, almost filling it up to the point of overflowing.

Yeah!
That's right.

Chen Xiaoxin immediately sat up straight, picked up the pen again, and quickly wrote down his inspirations on the paper. They were basically all about mathematics, but there were no numbers anymore. They were all symbols representing mathematics.

Group theory is a very magical thing. It plays a fundamental and important role in abstract algebra. Many algebraic structures, including rings, fields, and modules, can be seen as being formed by adding new operations and axioms on the basis of groups. It also has many branches.
At this time, Chen Xiaoxin was breaking through the concept of group. Generally speaking, a group represents an algebraic structure with binary operations that satisfy closure, associativity, identity element, and inverse element, and Chen Xiaoxin was trying to give it a new mission.

This move is very bold, like a main battle tank. And then let it fly, which sounds exaggerated. However, in the field of mathematics, any exaggerated thing can exist. Of course, how to prove its existence requires talent.

shhhhh--

Chen Xiaoxin was writing desperately when new inspiration came to him.

He discovered that this new group could have a place in many areas of mathematics and physics, such as solving the relationship between symmetry and conservation, which involves the conservation of momentum corresponding to the translational symmetry of space and the conservation of angular momentum corresponding to the rotational symmetry of space.

As for mathematics.
It seems to be related to the CY supersymmetry theory, or to be more precise, they have complementary properties.

but
The most important goal now is to put an end to Shinichi Mochizuki's theory in far-Abelian geometry, replace it, and make his theorem a thing of the past.

Tick ​​tock~tick tock~tick tock~
Time is slowly passing
Chen Xiaoxin even missed dinner time, but being fed with spiritual food, he did not feel hungry. On the contrary, his extreme desire for the truth made him feel like he was about to be possessed. At this moment, he seemed to be learning the devil to the point of being obsessed.

at this time,

A phone call suddenly came into his cell phone, and the ringtone brought the obsessed Chen Xiaoxin back to reality.

The caller is Yan Xiaoxi.
"what's wrong with you?"

"How many WeChat messages did I send you? Did you even read them?"

The beautiful young woman on the phone was in a state of rage, constantly making fatal roars at Chen Xiaoxin.

"baby."

“I found inspiration!”

Chen Xiaoxin didn't pay attention to her anger. Instead, he was like a child showing off a brand new toy to his friends. His words were full of excitement and he said eagerly: "Let me tell you, if the group has the concept of hyperbolicity, does it mean that every group is hyperbolic? What do you think, baby?"

Yan Xiaoxi was originally full of rage, but at this moment, facing her fiancé who was as happy as a child, she didn't know how to vent her anger on him. It was obviously his fault, and it was obviously him who didn't check WeChat, but now... now she didn't feel the slightest bit of anger.

OMG!

He is truly the Monkey King sent by God to torture me.

"Um"

"It's a good idea, but it's difficult to implement." Yan Xiaoxi sighed and murmured, "You should be studying hyperbolic geometry. Are you looking for the complete hyperbolic part of the three-dimensional manifold?"

"Yeah!"

"My baby is so smart."

Chen Xiaoxin quickly replied: "That's right. But the main purpose is to replace Mochizuki Shinichi's theorem in far Abelian geometry."

"Oh"

"Have you eaten?" "Should I buy you one?" Yan Xiaoxi asked.

"what?"

"what time is it?"

Chen Xiaoxin was stunned for a moment and asked in confusion.

"Fool."

"It's almost six o'clock!" Yan Xiaoxi felt distressed and helpless, and said unhappily: "I'll bring you a McDonald's."

"actually."

Chen Xiaoxin pursed her lips and answered cautiously: "I want to eat KFC."

you.
Whoops!
I drink sweet soy milk and you drink salty soy milk. I eat sweet rice dumplings and you eat salty rice dumplings. I drink Best Keen and you drink Coca-Cola. Why do you have to go against me?

Yan Xiaoxi took a deep breath, trying to suppress the anger in her heart, and said angrily: "Okay, okay, KFC is KFC, I'll buy you a family bucket. Also, work harder tonight, I want more!"

Chen Xiaoxin: ?????
Small life in Kyoto.

A private medical institution.

Mochizuki Shinichi was sent here by his friends because he was so angry.

failure
A complete failure!
I didn't expect to lose so badly.

The man who was once known as the God of Math has completely fallen into depravity. Being defeated repeatedly by Chen Xiaoxin completely crushed his self-esteem. In Mochizuki Shinichi's eyes, he is actually at the same level as Chen Xiaoxin, and is even a little better than Chen Xiaoxin.

but.
Whether it was the previous abc conjecture or this time's supersymmetry theory, they were all defeated by the opponent and were crushed.

At this time,

Kato Fumio came to the ward to visit his good friend.

"Shinichi!"

"Cheer up!"

Looking at his friend who looked as pale as death, Kato Fumio encouraged him by saying, "You have not been abandoned by the people. There are still many people who support you."

"But I"

“I failed them.”

Mochizuki Shinichi said to himself painfully, "And I feel like I have lost control over mathematics. I seem to have been abandoned by this era. I have no idea what to do with Chen Xiaoxin's theories."

"You also have the theorems of far Abelian geometry. In this field, you are still a god-like existence." Kato Fumio Kato comforted.

Yes
I also have theorems for tele-Abelian geometry.

Mochizuki Shinichi, who had lost all desire to live, now rekindled his desire to live and guard this piece of pure land that belongs to him alone. He can still have a place in the field of mathematics.

Jingle bell bell—

Kato Fumimoto's cell phone rang.
"Wen Yuan!"

"Where are you?"

The person on the other end of the phone was a middle-aged man about the same age as Kato Fumio, who was asking anxiously.

"I'm visiting Shinichi."

Kato Fumio asked doubtfully: "You seem to sound a little nervous."

"Wen Yuan!"

"You...you're going to a place where there's no one!"

Although he didn't know what had happened, Kato Fumio still followed his friend's advice and left Mochizuki Shinichi's ward.

"The next thing"

"It might completely destroy Shinichi's mathematical soul."

"That Chen Xiaoxin from China. He. He overturned all of Shinichi's theorems in far-Abelian geometry!"

　Even cats admire their own memory. I won’t use TXT anymore. It’s such a bummer! ! ! ! ! !
　　
　
(End of this chapter)