Into the Immortal Cultivation

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"Algebraic topology and differential topology are undoubtedly the most meaningful in topology?" He Waier chewed this sentence and could not help nodding: "It's a bit interesting-but, how dare you judge the whole topology?"

"I am an accountant and make my own judgment in this field." Wang Qi is neither humble nor humble.

"I'm in algebraic topology, I do have some problems." He Waier said: "Your thoughts seem to be more directed to group theory and ring theory ... Ah, sorry, this is my first thought. Me and My fellow students have been doing research in this field for a long time, so the first thing I thought of was this. "

Wang Qi nodded, but he was slightly surprised.

In the case of only vague thinking, can you actually guess the direction of this theory ...

Cohomology algebra comes from algebraic topology, but it is higher than algebraic topology in application. Not only is it a milestone in the development of mathematics, but it can also penetrate into many fields of mathematics and promote the overall progress of mathematics.

This powerful academic idea will have an important role in many fields such as group theory, ring theory, and algebra theory.

The resulting mathematical tools eventually point to the realm of physics.

One of the most remarkable achievements is to reveal the symmetrical structure of normative field theory.

As we all know, in an era when the fortune-teller and Tai Tianzun intersect each other, and the way of conformity is in the sky, He Waier once spent a long time in the union. He also has a considerable understanding of the system of Tiangexing, and wants to follow Tai Tianzun's ideas to complete the "unified field" theory.

However, he failed. He started with the concept of electric field and magnetic field in Tiange Tianyuan Group, trying to replace it with electromagnetic potential and corresponding high-order antisymmetric tensor, and then added it to the momentum-energy-spirit tensor of gravity. Use purely mathematical methods to derive the field equations.

However, this high-level monk not only ignored the specific meaning of his formula, but also the possibility that his formula was not constructed at all, and unfortunately chose the most difficult direction. After the Tianyuan formula exceeds the fourth order, even the "spiritual conservation" [spirit-energy conservation] loses its effectiveness-this obviously contradicts all theories at this stage. In the end, He Waier gave up this wrong theory.

However, this idea is correct.

Wang Qi knows that as long as the cohomology algebra promotes the further development of group theory, he can extend the canonical group in He Waier's formula of the year to the non-normative group, leading to a mathematical model with practical significance-that is, the strong The unified standard model of weak electricity is the foundation of the Yang-Mills theory on the earth.

Very close.

He Waier proposed this theory because of his understanding of abstract algebra. And because of this theory, he worked hard with his fellow Ai Erche in this direction.

To be precise, Wang Qi ’s path today is also based on this predecessor.

Wang Qi replied: "This is indeed a good direction. However, I think I can't think about specific issues in this regard for the time being."

He Waier said: "Is not interested in the metaphysical algebra?"

Wang Qi shook his head: "This is a question of 'drinks, wine glasses, small tables'."

He Waier was shocked, and there was a strange light in his eyes: "Oh?" Wine "" Wine glass "" Little table "? What concepts are you replacing?"

A monk sitting next to Zhao Qingtan was a little puzzled: "What's the problem? Senior Senior He and Wang Qi they ... This is to drink? Let's have a reception?-Brother Zhao, what's wrong with you?"

Zhao Qingtan whispered: "This is a case of the mathematics ... At the beginning, the master of the mathematics first studied the theory of numbers, and he only talked about the number field for ten years. Ten years later, he calculated the theory of geometry and read geometry books Poor drawing of heaven. Three years later, the master said; the dotted line is a small table of wine and wine glasses, and the geometric proposition is nothing like this ... "

"What is this and what ..." This monk's civilian background is not very talented, and he has recently struggled to break through the sky. He is not very familiar with this case.

Teacher Cheng Qingtan, who is related to the Geting School, whispered: "The fortune-teller has studied geometry. That sentence is his understanding of geometry. The five methods of painting the sky are certainly the foundation of geometry, but the geometric prince of 40,000 years ago It does not define what is a "point", what is a "line", and what is a "face". In the eyes of several ancient households, these truths are self-evident. But the operator thinks that this is not the case, and the point, line and surface are also needed. Strictly mathematically significant. In his view, there is no definition of "points, lines and planes" in the drawing of the sky and the geometry book, and it is no problem to replace it with a "little table of wine and wine glasses."

"Why is the low table for drinks and wine glasses?"

"Is it possible that Master Xi wanted to drink two glasses at night?" Zhao Qingtan stared at Wang Qi and He Waier, and kept saying, "It's over ... it's over ... even if you really want to do such a thing, You do n’t need to say it in person ... "

The Yuanshen monk was still curious: "Is there anything wrong with this ..."

——The problem is bigger ...

Zhao Qingtan almost squeezed out the voice: "Wang Qi is equivalent to saying that the Geting School also has no clear definition of the concepts of ring theory-this is to say that the Geting School is not rooted."

He Waier didn't expect Wang Qi to be so loud. He pondered for a moment and asked, "Can you tell me what you think?"

"I'm not saying that there is a problem with the theory of your predecessors, but that some of your predecessors' concepts have become blurred after the introduction of a new system." Wang Qi first corrected it a little, and then said: "Premier Xi When I was in the palm song court, I was a number theory researcher and had a fruit of class theory. I was also thinking about how to show the whole class theory clearly through the co-homology and continue to promote it. Now ... "

What Wang Qi said is also one of the most famous uses of coherent algebra.

He Waier's eyes flickered.

He felt something very vague. That kind of thing hasn't taken shape yet, but ... it's beautiful.

What Wang Qi is talking about is exactly what he is familiar with as a disciple.

Wang Qi speaks very quickly-in fact, his current theory is only a draft, if discussed with people, it will not be discussed for three days and three nights. But if you just say something, it will be finished soon.

After Wang Qi finished speaking, He Waier gave him a deep look: "Good boy ... wait a minute, I still have a few questions."

It can be seen that He Waier also has a certain understanding of Wang Qi's current progress. He didn't ask questions at random, but each question hit the point. There are many things that Wang Qi's theory must cover in the future.

Soon, the faces of those who had communicated with Wang Qi changed.

"We all think that Wang Qi is just a beginner in this field ... but is his current performance really a beginner?"

"Although in the question and answer just now, Wang Qi used many ideas and conjectures to explain ... but why, looking at his calm and calm appearance, it seems that those are not just conjectures?"

Some people's hearts started pounding.

"Wang Qi's ideas haven't been proved yet, so just say it outright ... this is the specific direction of the research! If I prove it out ..."

Wang Qi's sentence brought up many problems. None of these problems are special or particularly difficult. They are closely integrated with the existing theoretical framework, according to the "classification of the problem" Wang Qi once made [the speech that Wang Qi gave when he received the reward of Taoism, that is, the classification made by the Burbuck School], These are "problems that generate general theory."

——If I go back now, write down these questions, and take it as my own, is it okay ...

More than one monk came up with similar dark thoughts.

However, after seeing the expression that He Waier discussed with Wang Qi, they dismissed the idea again.

The idea and research direction of plagiarizing others will be despised in this Faxian Dao.

Guatian Lixia, still need to know to avoid suspicion. Now, these questions are all addressed by Wang Qi in front of He Waier. Unless one of them joins in now and inserts a sentence "Actually I have thought about similar issues, I think it should be ..." Otherwise, this young monk will inevitably think this is "plagiarism".

Being disgusted by a monk in a free time ... is not worth it.

In particular, this Xiaoyao monk is also a strong college leader. Although the Geting faction has inevitably gone into decline because of Wang Qi, it is still a ranked force.

If they are really remembered by He Waier because they have plagiarized Wang Qi ’s ideas, they will be flatly faced with many resistances in the thousands of years to come.

And after dispelling his thoughts, more people have a ... indescribable shock.

——Is he really a beginner?

——Why are they also beginners ...... Wang Qi can see so much?

——For him, we can only give birth to the idea of ​​plagiarism ...

During the communication, the sun gradually fell,

Wang Qi stood up as usual and said, "I can communicate so much today. You guys, if you want to communicate, please come back tomorrow."

Just as Wang Qi was about to turn around and leave, He Waier shouted: "Wait a minute, Wang Qi. Can you talk about it alone?"

Wang Qi nodded, and the time and space around He Waier suddenly became blurred. Then, he and Wang Qi disappeared out of thin air.

At the same time, on the top of the mountain, He Waier looked at Wang Qi and shook his head with a wry smile: "Wang Qi, do you know what you are doing?"

Wang Qidao: "Research arithmetic."

"You are doing something very offending." He Waier shook his head: "Do you understand?"

"After all, I ruined the ideal of Senior Greek?" Wang Qi also sighed helplessly: "But this is not my original intention. Senior Senior is still one of my most respected people today ... just learning is free. , I just found it. "

"I know." He Waier's tone was severe: "However, you continue to follow Master's thoughts of the year. In the eyes of others, you are scorning Master."

"This is also not my original intention." Wang Qi said: "I like this idea too much, you can't stop me from using it? Furthermore, you should also be able to see the seniors. What I want is not the form of symbols, It's the structure of mathematics hidden under calculations and theorems ... "

"Other people don't necessarily think so." He Waier looked at Wang Qidao and said: "And you offended Lian Zong."

"That narrow group of guys, this is not allowed, it is not allowed, I can't see it." Wang Qi shook his head and felt quite helpless.

"So, Wang Qi, join the song court."

"For the Geting School, I also ... Wait a minute, Senior, is this topic too jumpy?"

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