Chapter 198: The Birth of Transcendent Geometry!

No matter how lively the discussion on the Internet is, it will not have much impact on the scholars.

After all, what everyone focuses on is different from the beginning.

It didn't have any effect on Qiao Ze.

Not to mention that most people are praising him for winning glory for the country this time, even if they are scolding him, it doesn't matter to Qiao Ze.

And there's really no lack of meat.

The only happy one is probably Su Mucheng.

I was busy giving many netizens likes on the Internet all night.

As long as it's a praise for Qiao Ze, she wants to like it.

It doesn't matter if it's even a killing.

Regarding Qiao Ze's mentality, Su Mucheng has a thousand percent confidence.

Words on the Internet could not have influenced Qiao Ze's decision-making at all.

Of course, it is almost impossible to see a unified voice on the Internet.

However, without Su Mucheng or Doudou making a move, there were countless Qiao Ze's supporters to help fight, which also made the little woman who was very small in this regard also become generous.

There must always be some different voices on the Internet, and they are all praising Qiao Ze and it seems quite fake.

Occasionally, I see a few sour criticisms, and I can also relieve my tiredness.

As for the second day's presentation, there was not much to say, and many top mathematicians and physicists gathered together, so naturally there was a lot to communicate.

However, under the light of the general solution of the Yang-Mills equation, many of the phased results did not receive much attention.

Scholars are more concerned with the Yang-Mills theoretical framework and the supercoiled algebra theory, which cracks this code.

Since a new mathematical direction can solve this kind of complex problem, if more in-depth research and empirical analysis are carried out, it may be possible to prove its effectiveness in turbulence problems and other PDE problems. In other words, it may also provide ideas for solving complex problems such as the NS equation and the Riemann hypothesis in the future.

Even if such well-known problems cannot be fully solved, supercoiled matrices have many problems that can be studied to advance mathematics.

Unfortunately, in the next two days, José did not come forward to introduce or sell his supercoiled space algebra theory to everyone.

However, other top universities and research institutes interested in this issue have also released the results of supercomputing verification.

There is no suspense for everyone, and all the verification results prove that Qiao Ze's derivation is correct.

Even if the whole world endorses Qiao Ze, his supercoiled space algebra is also a correct research direction with a high probability.

Although there is no shortage of examples of errors in mathematical logic derivation to prove the correct result, most of them are concentrated in the field of mathematics that ordinary people can understand.

In the case of equations of such complexity as the Yang-Mills equation, the probability of a correct solution by the wrong method is infinitely close to zero.

It can be said that Qiao Ze really became famous this time.

Unfortunately, Qiao Ze did not show up for the next report.

He did not attend anyone's lectures, nor did he communicate with the world's top scholars.

In Xu Dajiang's words, Qiao Ze has already started the next stage of research and has been busy sorting out the information recently.

As for what the next phase of research will be, it is already an open secret.

No one even doubted that José would be able to complete the final proof, it was nothing more than a matter of time.

To the dismay of several top scholars, José really didn't come to them again to discuss the development of new algebra as a formal discipline.

The good news is that not only did they not look for them, but also no one else.

On the third day, after the closing ceremony, Edward Witten wanted to talk to Qiao Ze again before leaving Huaxia, but was also politely rejected by Xu Dajiang, a spokesman for the outside world.

"Professor Witten, to tell you the truth, it's not just you, everyone wanted to talk to Qiao Ze about this matter again last night, but he didn't agree. It's really not me who is doing it, I'm sure you can understand that from the school's point of view, we really hope that Qiao Ze can do this work in the next period of time.

But Qiao Ze, this kid, don't look at him young, but he is the kind of old-fashioned character who must implement the plan once it is determined. Now that he's decided to put other things aside for the time being, he's definitely not going to worry about it anymore. So ......"

It wasn't very deadly spoken, but everyone could understand it.

It is normal for a genius to have a character, although the vast majority of scholars in this world have the same pursuit of life as ordinary people. Some seek fame, some seek profit, but there are always some mavericks who don't seem to care about anything, and ordinary people can't figure out what he's pursuing.

Now it seems that José probably falls into the latter category.

Fortunately, this three-day high-end academic report finally came to a successful conclusion.

Although there were indeed some small accidents along the way, when the whole city was mobilized, these small accidents did not cause any major incidents after all.

Thanks to Qiao Ze's blessing, Xilin University of Technology has indeed made a name for itself in the world academic community.

At least after this meeting, when it comes to schools in Huaxia, the first thing that comes to the minds of these ordinary scholars abroad must not only be Huaqing and Yanbei, but also have a place in Xilin University of Technology.

At the same time, it is also an excellent publicity for the city of Xilin.

At least for the future to undertake such large-scale academic conferences, a little more confidence. For an inland city, it can be one of the future development directions.

It is said that the success of this meeting also made Xilin officials start to explore the feasibility of building an inland scientific research center city.

If you really want to say that there are still academic genes in Xilin City, there are seven double first-class universities alone, and there are as many as 45 undergraduate colleges and universities of various kinds, including 25 public undergraduate colleges.

In addition, the Xilin Branch of the Chinese Academy of Sciences is also in this city, and if it can really develop in this direction, it may really have the opportunity to become world-famous in academic research.

Of course, these can only be ideas for the time being.

There is no way, the most academic resources are still distributed in the more economically developed places such as Beijing, Magic City and Shencheng.

In short, there are many ideas, but whether they can succeed or not depends on how to develop in the future and whether they can win more resources and policy preferences.

But there is one more direction to choose.

……

On the return plane, the professors who came home in Princeton's team this time were not too emotional.

In retrospect, I should have promised José at the time.

Many times this is the case, after the opportunity is given up, you will feel regret.

But who would have thought that Qiao Ze could really be so resolute in making decisions, and said that if he didn't play with everyone, he really wouldn't play?

Qiao Ze's high-end thinking mode is indeed difficult for people to understand.

Fortunately, there is a paper on the next step, and there is also a copy of the video of Qiao Ze's presentation, and everyone can study this theory according to the explanation in the video after returning.

Just the time it takes, will definitely increase exponentially.

"What do you think Joe thinks? He really doesn't need any help to solve the problem of mass clearance on his own? ”

"Obviously, he deserves to have that confidence."

"I should have thought this guy was a lone ranger."

"But I still think this option will take more time. To solve the problem of mass gap, it is officially cut into the category of physics. Joe is only nineteen years old, and his talent for mathematics has already been proven, and he certainly has an understanding of basic field theory, quantum physics. You can't say that other physics studies can be as good as his mathematics, right? And this is not an area that can be verified by supercomputing. ”

"yes, I think so too. It always takes time...... It's as if Edward hasn't won the Nobel Prize yet. However, he didn't seem to have much communication with those who were involved in physics at the conference. ”

"But I think he'll talk to Edward anyway. I have a hunch. ”

"It's a pity, the moment the supercomputing results were sent that day, I never felt that the Great Unification was so close to me. But Joe's choice surprised me. Hey......"

"Say, he wants to be a lone ranger! Lot, I know you admire Joe, but I think you should also refer to Robert Stephen's opinion, if he is still reluctant to come, it may not be a good thing to have such a flag in China. ”

"Science knows no borders."

"Then why did he stay in Xilin? As you know, neither math nor physics can help him much from that school. ”

"Well, I don't want to talk about that anymore. Nothing is more important to me than peeking into a glimpse of the truth of this world. Where I peeked I didn't think it mattered. ”

"Lot, you're too idealistic."

"Probably. But since you all think that we have a better academic level here than Cillin, and now that Qiao Ze has made public the method of finding the solution to the Young-Mills equation, it is possible to unite a group of mathematicians and physicists to discuss the final step. Maybe you can solve the quality gap problem sooner than Joe? ”

Lott Dugan's casual remark clearly lit up Daniel's eyes.

It's not impossible.

In fact, relatively speaking, the Western mathematical community has made some progress in the research of Yang-Mills theory for so many years. With the accumulation in the early stage and Qiao Ze's advancement, maybe they really have a chance.

Although the field of scientific research does not necessarily make it stronger because of the number of people, they do have the world's most advanced laboratories and physicists who know the subject best.

"Heh, Lot, it seems that deep down you want to teach Qiao Ze a lesson. I'm going to talk to Edward about it. ”

"Go, go, I can just get some rest."

With that, Lott Dugan put on a blindfold.

He didn't bother to pay attention to this guy.

In the past two days, just watching the video of Qiao Ze's report and studying the head-making superspiral space theory has consumed too much of his energy. It made him realize how difficult it was to fully understand Qiao Ze's train of thought.

He came up with this idea because he didn't want Daniel to continue to make noise in his ears.

There is no doubt that before he can really sort out the basic context of supercoiled space algebra, Joser is definitely the one who is closest to the truth.

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Lott Dugan doesn't think the same way as Daniel or Robert.

Each era has the characteristics of each era.

He is already an old man on the verge of death, and his own young people are not angry, do they want these old men to fight with a young man in his teens?

Don't talk nonsense, people have to serve the old!

……

For Xilin University of Technology, after this high-end report will be completed, the school has officially entered the examination season at the end of the year.

The Spring Festival of 2024 is on February 10, and the school holiday is tentatively scheduled for the end of January.

For the children in the basic class of the School of Mathematics, it is worth celebrating that the final exams of this semester have been decided to abandon the semi-open book.

This is something that deserves to be celebrated by the whole world.

It has been proven that when professors want to embarrass students, let alone half-open books, it is actually useless to take a computer to the exam room.

However, this did not make much of a splash within the school.

What caught the children's attention the most was that there was news that Qiao Ze, a sophomore, was ready to graduate.

News from the sophomore basic math class of the School of Mathematics.

It is said that in the last class of Mathematical Analysis B this semester, the professor was faced with the unreasonable request of a group of students to draw the key question types of this year's exam questions, and sighed: "Hey, Qiao Ze has one semester less class than you, and they are all preparing for graduation, but you are still anxious about simple exam questions, is it appropriate?" ”

Really, this sentence is enough to make a lot of children in the basic math class not know how to evaluate it.

His own professor was embarrassed to compare them to Qiao Ze......

I don't bring such a lifter.

But it was at this time that everyone remembered that Qiao Ze was still an undergraduate like them. Although I had only encountered them in politics class, we were actually classmates. Emotionally, it's really complicated.

But from Lao Zhu's point of view, the last sentence of emotion is not untargeted.

It's interesting that the professors of these sophomore courses are eager to become Qiao Ze's undergraduate thesis supervisor.

The school was busy promoting Li Jiangao to full professor, and was busy giving Li Jiangao the qualification of doctoral supervisor, probably what's going on, everyone is like a mirror in their hearts, so Qiao Ze's future tutor must not have to think about it, but this undergraduate thesis tutor can always fight.

You don't need to think about it, and after the thesis is completed, you have to thank the tutor for the fixed format of the graduation thesis.

The words of thanks for the graduation thesis of the youngest Fields Medal winner in the future will not only be bragging in the future, but also may be able to help with promotions and salary increases in the future.

Now the competition in various evaluations in colleges and universities is very fierce, and when everyone's academic level is about the same, being Qiao Ze's tutor is definitely a plus.

Of course, Iron Mask Zhu also has this idea.

It's a pity that I can't see Qiao Ze, so Li Jiangao has been busy recently. There are always professors who want to invite him to dinner, but they can't push it all. It's already the end of the semester, and the college is scheduled to let Qiao Ze graduate at the beginning of the next semester, and at this time, the topic and direction of the thesis are almost decided.

Although the undergraduate thesis is hardly difficult for Qiao Ze, and there are many directions to choose from, the process has always been like this.

However, Qiao Ze's undergraduate thesis has not yet been decided, and the Yang-Mills general solution paper was first published in the Annals of Mathematics.

This is Qiao Ze's third paper published in the Annals of Mathematics, and he is also the first mathematician in the world to publish three papers in the Annals of Mathematics in three months.

More strictly speaking, he is also the first mathematician in the world to publish three papers in three consecutive months in four top mathematics journals.

A lot of records are broken without knowing it.

The above mess did not affect the three-story building of the Xilin Institute of Mathematics.

On weekdays, everyone still does what they should do.

Especially for Qiao Ze, since moving here, he has rarely returned to his house and bedroom.

This small building allocated him a whole floor, in addition to the office and reception room, Xu Dajiang also arranged a comfortable and spacious living room for Qiao Ze. It's perfectly fine to stay at least two people.

Qiao Ze helped Liu Chenfeng get a topic from school on the application of Calderon-Zygmund theory in PDE, mainly studying singular integral operators, quasi-differential operators, imitation differential operators, fourier integral operators and other things.

The college approved a research grant of 200,000 yuan.

For a doctoral student, with an independent project and funding, Qiao Ze also helped him find two free laborers, and it was time to move out directly.

Qiao Zexin's research is not related to him, and as far as the research institute is concerned, he will not do this research in the near future.

But Liu Chenfeng's face was thick enough, and he moved to the second floor and refused to leave.

Although strictly speaking, Liu Chenfeng was not a member of the Institute of Mathematics, but no one drove him away, so he relied on it.

Mainly, there are still few people in the newly established Institute of Mathematics.

There are only two leaders for the time being.

The director is Li Jiangao, but the office is still on the side of the School of Mathematics for the time being, so he doesn't come here often.

There is also a deputy director who is a professor who was willingly transferred from Yanbei University, Professor Xu Changshu, whose main work is to study the application of the segmentation method in ζ functions.

Although Qiao Ze is the future principal investigator, he has not yet completed the procedures from undergraduate to doctoral graduation, so he is only in name for the time being.

Hannah was hired as a research assistant on a temporary basis.

Usually Qiao Ze needs her to do something, and he will send an email directly.

It's not that no one wants to join.

On the contrary, there are many people who want to join this institute.

Just a bunch of lecturers and professors from the School of Mathematics and the School of Physics want to join.

It's not just Qiao Ze's signboard, but also because the newly established research institute has a lot of preparations.

It is said that he has won the titles of three full professors and seven associate professors, and more than a dozen titles from assistant researcher to researcher.

To put it simply, if you can get into the research institute and produce any results, it will be much easier than the establishment of competing schools, especially for lecturers who are still in a state of non-promotion and departure.

Unfortunately, for the time being, the institute has no plans to recruit people.

Theoretically, Li Jiangao is qualified to arrange people to enter the research institute, but unfortunately, Li Jiangao knows that he has soft ears and directly throws power to Qiao Ze.

For Qiao Ze, such a troublesome thing is naturally to put it aside first, and the most important thing for him at the moment is to graduate with a doctorate as soon as possible.

As for the undergraduate thesis, Li Jiangao made a special call to Qiao Ze and asked what Qiao Ze thought. Qiao Ze did not bother with the question of who to choose as the tutor for his undergraduate graduation thesis, and simply sent the paper that had been prepared long ago to Li Jiangao.

When I did the proof of existence of the Yang-Mills solution before, I took a part of the content from the manuscript and let Doudou polish it, not to mention coping with undergraduate graduation, even if I got a master's degree.

The meaning is also very simple, thank who is nothing more than a matter of adding a sentence before and after the paper, and time cannot be wasted in these things that are not there.

The main reason is that Qiao Ze has really indulged in research recently, and he can't extricate himself at all!

Once he continued to think about solving the mass gap problem, Qiao Ze found that when the general solution was able to describe the evolution of the gauge field in a self-consistent way, he could reinterpret the gauge field dynamics and develop a new interpretation of the mathematical structure in high-energy physics.

Especially when considering the physical structure corresponding to the new algebra, the fundamental properties of supercoiled space algebra can lead to some rotational and vortex structures of the gauge field. This, in turn, affects the topological properties in the physical sense.

In translation, if supercoiled space algebra has physical significance, it means that one or more new states of matter or topological properties of fields have not been discovered by physics.

It would be interesting if it was finally determined that he was right.

Although Joser has not been very interested in the application of theory, if he is correct this time, it means that there may be a way to regulate the topological invariants of objects in reality.

For example, by changing the distribution of electric and magnetic fields, the mass gap of the material can be controlled by the existence and size of the gap. Geometrical theories have even been devised to design new materials with specific electronic structures and mass gap properties.

That's right, at this moment, José felt like he had opened the door to a new world.

Based on the mind map he had already completed, he was going to design a corresponding geometry theory for supercoiled space algebra, which Joser decided to tentatively name Transcendental Geometry.

Similarly, there are non-traditional band structure descriptions and non-traditional topological properties in transcendental geometry.

Of course, these descriptions correspond to supercoiled space algebra.

Even in just a few days, José has completed the description of two important formulas in transcendental geometry.

The first is a non-conventional electromagnetic field that transcends geometrical properties: [ h =\int d^3x \sqrt{g}\left[\frac{1}{2}\left(\mathbf{e}^2 +\mathbf{b}^2 ight)+\frac{1}{2}\left(abla \cdot \mathbf{a}ight)^2 ight]]

where (\mathbf{e}) and (\mathbf{b}) are electric and magnetic fields, respectively, and (\mathbf{a}) are fields introduced by non-traditional geometry.

The second is the topological properties of transcendental geometry: [ext{chern}_{ext{transcendental}}=\frac{1}{8\pi^2}\int ext{tr}\left( f \wedge f ight)]

where (f) is the field strength tensor of the non-conventional electromagnetic field, (ext{tr}) is the trace operation, and (\wedge) is the outer product.

These two formulas are enough to lay the foundation for transcending geometry.

If the scholars who have left know what José has achieved these days, he will probably have another collective intracranial orgasm.

and strongly demanded that José's report should be extended......

Unfortunately, these two formulas are not known yet. Before his doctoral dissertation was completed, José had no intention of announcing the success of the study.

After all, the fact that he likes to brush papers in top journals is completely misunderstood by the outside world.

At least for now, Qiao Ze felt that every paper he sent was simply just needed.

For example, at first, he needed to quickly brush up his prestige, so that Uncle Li could quickly achieve his wish. So start with the easiest smart model.

Solving the problems of the Young-Mills theory was a goal that had been set for many years.

Now, for Jozer, the accumulation phase has passed, and the most exciting academic career has finally begun......

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