Chapter 198 The birth of transcendent geometry!

Style: Romance Author: bucket of puddingWords: 6697Update Time: 24/01/18 19:00:57
No matter how lively the discussion is on the Internet, it will not have much impact on a group of scholars.

After all, what everyone pays attention to is different from the starting point.

It would have no impact on Qiao Ze.

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

It’s not like there’s really any missing piece of meat.

The only one who was happy was probably Su Mucheng.

I have been busy all night giving likes to many netizens online.

She wants to like anyone who praises Qiao Ze.

It doesn't matter even if it's flattery.

Su Mucheng has one thousand percent confidence in Qiao Ze's mentality.

There is no way words on the Internet could affect Qiao Ze's decision-making.

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

However, without Su Mucheng or Doudou taking action, countless Qiao Ze's fans came to help fight, which also made the little woman who was very petty in this regard become more generous.

There are always some different voices on the Internet, but it seems quite fake when they all praise Qiao Ze.

Occasionally seeing a few sour criticisms can relieve boredom.

As for the report meeting the next day, there wasn’t much to say. With so many top mathematicians and physicists gathered together, there was naturally a lot to talk about.

However, under the light of the general solution to the Yang-Mills equation, many phased results have not attracted much attention.

Scholars are more concerned about the Yang-Mills theoretical framework and the superspiral algebra theory that cracked this code.

Since a new mathematical direction can solve this type of complex problems, if more in-depth research and empirical analysis are conducted, it may be able to prove its effectiveness on turbulence problems and other PDE problems. In other words, it may also provide you with 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 completely solved, superspiral matrices still have many problems worth studying and can promote the development of mathematics.

Unfortunately, in the next two days, Qiao Ze did not come forward to introduce or promote his superspiral space algebra theory.

However, other top universities and research institutes interested in this issue have also released their verification results using supercomputers.

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

The whole world endorses Qiao Ze. His superspiral space algebra is highly likely to be the right research direction.

Although there have always been examples of incorrect processes leading to correct results in mathematical logical derivation, most of them are concentrated in areas of mathematics that ordinary people can understand.

When it comes to extremely complex equations such as the Yang-Mills equation, the probability of obtaining the correct general solution through wrong methods is infinitely close to zero.

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

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

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 is currently busy sorting out information.

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

No one even doubted that Qiao Ze could complete the final proof. It was just a matter of time.

What depressed several top scholars was that Qiao Ze really did not come to them again to discuss the issue of developing new algebra into a formal discipline.

The good news is that it's not just them, but no one else either.

On the third day, after the closing ceremony, Edward Witten wanted to talk to Qiao Ze one more time before leaving China, but he was declined by the external spokesperson Xu Dajiang.

"Professor Witten, to tell you the truth, it's not just you. Everyone has wanted to talk to Qiao Ze about this matter since last night, but he didn't agree. It's really not me who is hindering it. I believe you can understand, from the school's perspective Let's go. We really hope that Qiao Ze can do this work in the next period of time.

But Qiao Ze, despite his young age, has the kind of rigid personality that once a plan is determined, he must implement it according to the plan. Now that he has decided to put other things aside for the time being, he will definitely not care about it anymore. so……"

The words are not very precise, but everyone can understand.

It is normal for geniuses to have character, although most scholars in this world are like ordinary people and have various pursuits in life. Some seek fame, some seek profit, but there are always some mavericks who seem to not care about anything. Ordinary people have no idea what they are pursuing.

Now it seems that Qiao Ze probably belongs to the latter group.

Fortunately, this three-day high-end academic lecture ended successfully.

Although there were indeed some minor accidents along the way, when the entire city was mobilized, these minor accidents did not cause any major problems.

Thanks to Qiaoze, Xilin University of Technology has indeed made a name for itself in the world of academic circles.

At least after this meeting, when it comes to Chinese schools, the first thing that pops up in the minds of ordinary foreign scholars is definitely not only Huaqing and Yanbei, but also Xilin University of Technology.

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

At least it gives me a little more confidence to undertake such large-scale academic conferences in the future. For an inland city, it may become one of the future development directions.

It is said that the success of this meeting also led Xilin officials to begin exploring the feasibility of building an inland scientific research center city.

If you really want to say it, Xilin City still has the genes for academics. There are seven double first-class universities and as many as 45 undergraduate colleges of various types, including 25 public undergraduate colleges. .

In addition, the Xilin Branch of the Chinese Academy of Sciences is also in this city. If it can really develop in this direction, there may be a chance to become world-famous at the academic research level.

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

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

In short, there are many ideas, but whether they can succeed depends on how they develop in the future and whether they can get more resources and policy preferences.

But at least there is one more direction to choose from.



On the return flight, none of the Princeton professors who headed home this time were in high spirits.

Looking back now, I should have agreed to Qiao Ze at that time.

This is often the case. After giving up an opportunity, you will feel regret.

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

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

Fortunately, there are still papers to come, and I also have a copy of the video of Qiao Ze's report meeting. After returning home, everyone can study this theory based on the explanation in the video.

But the time spent will definitely increase exponentially.

"What do you think Joe thinks? Is he really able to solve the mass gap problem on his own without any help?"

"Obviously, he deserves that confidence."

"I should have figured this guy was a loner."

"But I still think this option will take more time. To solve the mass gap problem, it officially enters the realm of physics. Joe is only nineteen years old, and his talent in mathematics has been proven, even for He must also understand basic field theory and quantum physics. It cannot be said that other physics research can be as strong as his mathematics, right? And this is not a field that can be verified by supercomputing."

"Yeah, I think so too. It always takes time... It's like Edward hasn't even won the Nobel Prize yet. But he didn't seem to have more exchanges with those engaged in physics during the report meeting."

"But I think he will still communicate with Edward. I have a hunch."

"It's a pity. The moment the supercomputing results came out that day, I had never felt that the unity was so close to me. But Qiao's choice surprised me. Alas..."

"Said, he wants to be a lone ranger! Lott, I know you admire Joe very much, but I think you should also refer to Robert Stephen's opinion. If he is still unwilling to come, having such a flag may not be possible in China. It’s a good thing.”

"Science knows no borders."

"Then why is he staying in Xilin? You know, that school can't provide him with more help, whether it's mathematics or physics."

"Okay, I don't want to talk about this issue anymore. For me, nothing is more important than getting a glimpse of the truth of this world. Where I get a glimpse is not that important."

"Lot, you are too idealistic."

"Maybe. But since you all think that our academic level here is better than that of Xilin, and now that Qiao Ze has disclosed the method for solving the Yang-Mills equation, you can unite a group of mathematicians and physicists to discuss the final solution. That step. Maybe you can solve the quality gap problem earlier than Joe?"

Lot Dugan's casual words clearly made Daniel's eyes light up.

It doesn't sound impossible.

In fact, relatively speaking, the Western mathematical community has made some progress in research on Yang-Mills theory over the years. With their early accumulation and Qiao Ze's advancement, they might actually have a chance.

Although the field of scientific research does not necessarily mean greater strength with more people, after all, they have the most advanced laboratories in the world and the physicists who know the best about this problem.

"Oh, Lot, it seems that deep down you also want to teach Qiao Ze a lesson. I plan to go talk to Edward about this matter right now."

"Go, go, I can just take a break."

After saying that, Lot Dugan put on the blindfold.

He couldn't be bothered to pay attention to this guy.

In the past two days, just watching the video of Qiao Ze's lecture conference repeatedly and studying the head-scratching super spiral space theory had consumed too much of his energy. It made him realize how difficult it was to fully understand Qiao Ze's thinking.

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

There is no doubt that Qiao Ze is definitely the person closest to the truth before he can truly clarify the basic context of superspiral space algebra.

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Lot Dugan had different ideas from Daniel or Robert.

Every era has its own characteristics.

He is already a dying old man. If the young people in his family are not up to par, why should old men like them have to compete with a teenage boy for their intelligence?

Stop talking nonsense, people have to accept old age!



For Xilin University of Technology, after this high-end report meeting was completed, the school officially entered the end-of-year examination season.

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

What is worth celebrating for the children in the basic class of the School of Mathematics is that the final exam of this semester has decided to abandon the semi-open book.

This is something worthy of universal celebration.

Facts have proven that when professors want to embarrass students, bringing a computer to the exam room is of no use, let alone half-opening the book.

But this didn't create any waves within the school.

What concerned the children the most was the news that sophomore Qiao Ze was preparing to graduate.

News came from the sophomore basic mathematics class in 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 types of this year’s exam questions, and said with emotion: “Hey, Qiao Ze has studied one semester less than you. You are already preparing for graduation, but you still have to worry about simple test questions. Is it appropriate?"

Really, this sentence is enough to make many children in basic mathematics classes not sure how to evaluate it.

My professor actually had the nerve to compare them with Qiao Ze...

Don't be so flattering.

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

But from Lao Zhu's perspective, that last sentiment is not without purpose.

What’s very interesting is that the professors in these sophomore courses all hope to become Qiao Ze’s undergraduate thesis tutor.

The school hurriedly promoted Li Jiangao to full professor, and also hurriedly gave Li Jiangao the qualification of doctoral supervisor. Maybe everyone was like a mirror in their minds, so Qiao Ze's future supervisor definitely didn't need to think about it, but this undergraduate thesis supervisor always You can argue.

There is no need to put any thought into it. After the thesis is completed, according to the fixed format of the graduation thesis, you have to thank the tutor.

The words of thanks for the graduation thesis of the youngest Fields Medal winner in the future will not only be used to brag, but may also help with promotion and salary increase in the future.

Nowadays, the competition in various competitions in colleges and universities is already fierce. When everyone's academic level is about the same, being Qiao Ze's graduate tutor is definitely a bonus.

Of course Tie Mian Zhu also had this idea.

It's a pity that Qiao Ze can't be seen, so Li Jiangao has been busy recently. There are always professors who want to treat him to dinner, and they can't even finish the invitation. It's the end of the semester, and the college is scheduled to graduate Qiao Ze at the beginning of the next semester. At this time, it's almost time to decide on the topic and direction of the thesis.

Although the undergraduate thesis is almost not difficult for Qiao Ze and there are many possible directions, the process has always been like this.

However, Qiao Ze’s undergraduate thesis has not yet been decided, but the paper on the Yang-Millstone solution was published first in the "Annals of Mathematics".

This is the third paper Qiao Ze has published in the "Annals of Mathematics". He is also the first mathematician in the world to publish three papers in the "Annals of Mathematics" within three months.

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

Many records are broken unknowingly.

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

On weekdays, everyone still does whatever they need to do.

Especially for Qiao Ze, since he moved here, he rarely went back to his home and dormitory.

An entire floor of this small building was allocated to him. In addition to the office and reception room, Xu Dajiang also arranged a comfortable and spacious living room for Qiao Ze. It's no problem for at least two people.

Qiao Ze helped Liu Chenfeng get a project from the school on the application of calderon-zygmund theory in PDE, mainly studying things like singular integral operators, quasi-differential operators, pseudo-differential operators, and fourier integral operators.

The college approved a research fund 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 directly.

He has nothing to do with Qiao Zexin's research, and as far as the institute is concerned, it will not conduct research in this area in the near future.

But Liu Chenfeng was thick-skinned enough, so he moved to the second floor and refused to leave.

Although strictly speaking Liu Chenfeng was not a member of the Institute of Mathematics, no one drove him away, so he just stayed.

The main reason is that there are not many people in the newly established Institute of Mathematics.

There are only two leaders for now.

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

There is also a deputy director, Professor Xu Changshu, who was willingly transferred from Yanbei University. His current main work is to study the application of segmentation method on the ζ function.

Although Qiao Ze is the future chief researcher, he has not yet completed the formalities of graduating from undergraduate to doctoral degree, so he is only in name for the time being.

Hannah was hired as a temporary research assistant.

Usually, if Qiao Ze needs her to do anything, 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.

A bunch of lecturers and professors from Xilin College of Mathematics and School of Physics want to join.

It’s not just Qiao Ze’s brand name, but also the newly established research institute that has many establishments.

It is said that not only did he win the titles of three full professors and seven associate professors, he also had more than ten titles ranging from assistant researcher to researcher.

To put it simply, if you can sneak into a 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 promotion or resignation.

Unfortunately, the institute has no plans to recruit people yet.

Theoretically, Li Jiangao was qualified to arrange for people to enter the research institute, but unfortunately, Li Jiangao knew that he was soft-hearted, so he directly gave up his power to Qiao Ze.

For Qiao Ze, such a troublesome matter is naturally put aside for now. His most important thing at the moment is to graduate with a doctorate as soon as possible.

As for the undergraduate thesis, Li Jiangao called Qiao Ze specifically and asked him what he thought. Qiao Ze did not hesitate about who to choose as his undergraduate thesis supervisor, and simply sent the thesis he had already prepared to Li Jiangao.

When I was doing the proof of the existence of the Yang-Mills solution, I cut out part of the manuscript and asked Doudou to polish it. It was enough for a master's degree, let alone an undergraduate degree.

The meaning is also very simple. Thanking someone is nothing more than adding a sentence before and after the paper. Time cannot be wasted on these missing things.

The main reason is that Qiao Ze has really become addicted to research projects recently and can't extricate himself at all!

Once he continued to think about solving the mass gap problem, Qiao Ze discovered that the general solution could self-consistently describe the evolution of the gauge field, which allowed him to reinterpret the gauge field dynamics and conduct a new interpretation of the mathematical structure in high-energy physics. .

Especially when considering the physical structure corresponding to the new algebra, the basic properties of the superspiral space algebra will lead to some rotation and vortex structures of the gauge field. This in turn affects the topological properties in the physical sense.

Translated, if superspiral space algebra has physical meaning, it means that there are one or more new types of matter states or topological properties of fields that have not been discovered by physics.

It would be interesting if it turned out he was right.

Although Qiao Ze has never been interested in the application of theory, if it is right this time, it means that there may be a way to control the topological invariants of objects in reality.

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

Yes, at this moment, Qiao Ze felt that he had opened the door to a new world.

According to the mind map he had completed, he wanted to design a corresponding geometric theory for superspiral space algebra. Qiao Ze decided to temporarily name it transcendent geometry.

Likewise, there are non-traditional descriptions of band structures and non-traditional topological properties in transcendental geometry.

Of course, these descriptions all correspond to superspiral space algebra.

Even in just these few days, Qiao Ze has completed the description of two important formulas in transcendental geometry.

The first is an unconventional electromagnetic field related to transcendent geometric 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]]

Among them (\mathbf{e}) and (\mathbf{b}) are the electric field and magnetic field respectively, and (\mathbf{a}) is the field introduced by non-traditional geometry.

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

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

These two formulas are sufficient to lay the foundation of transcendent geometry.

If those scholars who had left knew about Qiao Ze's achievements these days, they would probably have another collective intracranial orgasm.

And strongly requested that Qiao Ze’s report meeting should be extended...

But unfortunately, no one knows these two formulas yet. Before completing his doctoral thesis, Qiao Ze had no intention of announcing the success of this research.

After all, the fact that he likes to publish papers in top journals is completely a misunderstanding of him by the outside world.

At least for now, Qiao Ze feels that every paper he publishes is just what he needs.

For example, initially he needed to gain reputation quickly so that Uncle Li could quickly fulfill his wish. So start with the easiest smart model.

Solving a series of problems in Yang-Mills theory has been a goal set many years ago.

Now, for Qiao Ze, the accumulation stage has passed, and the most exciting academic career has finally begun...

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