The paper José still plans to publish it in the Annals of Mathematics.

During this period, with the publication of two papers in succession, Qiao Ze received many invitations from the editors-in-chief of journals and magazines, and all of them were the world's top mathematics journals.

For example, the other three of the "Four Major Mathematics Journals" that are highly regarded in China have all sent emails to Qiao Ze recently.

There is certainly a reason for Daniel's comments on Facebook, but more importantly it is that José has been in the limelight lately.

A mathematician like Josser, who has an efficient paper, is quite explosive even in the world. Not to mention the quality of Josser's papers.

But for Qiao Ze, the editorial department of the Annals of Mathematics recommended by Li Jiangao has already shown its extremely professional academic quality, and he is too lazy to re-adapt to the editorial style of other journals and magazines.

There are many truths in this world, and people in different positions can only see the part they want to see, and Qiao Ze knows this very well, so he doesn't bother to explore whether there are more possibilities in these trivial questions.

Not to mention his impression of Lott Dugan, editor-in-chief of the Annals of Mathematics.

If the Annals of Mathematics changes its editor-in-chief in the future, or if it changes its style and becomes less friendly, it would be good for him to change another journal. If all journals start to become less friendly in the future, he will probably be able to start a journal of his own.

After all, if you really want the School of Mathematics of Xilin University of Technology to be comparable to Princeton, it is also necessary to have an academic journal that belongs to it and has strong international credibility. It's like Huaxia also has a southern core and a northern core.

Of course, Qiao Ze hadn't thought about it at this time.

There is no need to think about these things when it is time to raise your head and become the enemy of the world.

Again, writing this paper is nothing more than that I have been idle for the past two days, and I happened to discuss this issue with several professors, so I simply wrote it.

You can't be idle, like Dean Xu, then you will be wasted.

……

Princeton, USA.

Qiao Ze completed the manuscript delivery through the submission system of the Annals of Mathematics at about 8:20 p.m. Beijing time. At this time, Lott Dugan had just walked into his office.

Although he could have come at nine o'clock or even later, he was old and didn't need as much sleep. And Lott Dugan is busy, really busy.

Princeton, after all, is a private university, and there is not so much to do. Despite his title as Dean, Lotter Dugan rarely spends his energy on administrative tasks such as college building.

He still has to lead his own team to do research, and he also serves as the editor-in-chief of the Annals of Mathematics, which makes Lott Duggan always feel that there are endless things to do every day, but fortunately they are all things he loves to do.

It's Wednesday, so instead of paying attention to the Annals of Mathematics, Lotter Dugan started reading the weekly report that his research team sent him yesterday.

In fact, it was a coincidence that Josser's first paper was first brought to the attention of Lott Dugan.

Only two days a week does the editor-in-chief open the Annals of Mathematics submission system and glance at any papers that deserve his attention. Most of the other time, it was the other editors of the magazine who sifted through it and then compiled it to him.

As Lott Duggan told José, five years ago, he began to receive funding from NASA and began to study the N-body problem.

Many ordinary people's understanding of the N-body problem began with the "Three-Body Problem" by a well-known Chinese science fiction electrician.

In other words, the three-body problem is an unsolvable chaotic system.

But in fact, thanks to the efforts of mathematicians, the three-body problem has been solved many times. Moreover, it is not objective to say that the three-body problem is completely unsolvable. The accurate description should be that the three-body problem cannot be solved analytically in most cases.

These are also the basis on which mathematicians can solve n-body problems. And it is also a question worth studying, because the vast majority of cases in the universe are many-body problems where n is much greater than three.

For example, the solar system.

The solar system is a standard matter of n-body motion.

Eight planets orbit the sun, and countless moons orbit the planets, which together form the galaxy that gave birth to the earth's civilization.

What's more, even though we all know that this is a complex n-body problem, scientists have been able to calculate the orbits of the eight planets, and can roughly predict the possible position of a planet in a certain period of time in the future, and even predict some astronomical phenomena as a result. For example, a solar eclipse.

This is because although it is not possible to obtain an analytical solution for the motion of the n-body mathematically, an approximate solution can be calculated. Even in some special cases, stable periodic solutions can be calculated.

So the problem now is that humans can't predict how the solar system will change over a very long period of time. For example, no one can calculate the position of each planet in the solar system at a certain point in time 10,000 years. The longer the time is calculated, the greater the error.

What's more, humanity has so far not even been able to mathematically prove that a chaotic n-body system like the solar system is stable. In other words, according to the current mathematical theory, such a system could collapse at any time, and the extra planets would be thrown out, eventually reduced to the simplest and most stable two-body system.

Paradoxically, however, the solar system has been stable for 4.5 billion years.

It is said that this is one of the reasons why Newton gradually began to believe in theology in his later years.

After discovering this problem, Newton suspected that it was because of the existence of God that the solar system did not collapse. Whenever the chaotic system of the solar system tends to collapse, God will intervene to push the planets into a stable orbit, thus ensuring the continuation of human civilization.

Therefore, the big man who proposed a series of laws of motion and calculus, what he wanted to do in his later years was to calculate the time when the n-body system of the solar system should have collapsed, and use this to prove the existence of God.

This is probably the truth that people ridicule that the end of science is theology.

Obviously, Newton did not succeed, but there are still many people in later generations who continue to explore along with Newton's ideas to find accurate analytical solutions to the n-body problem, and have also made many discoveries. For example, there are five familiar Lagrangian points, of which Euler found three and Lagrange found two.

With the invention of computers, scientists have discovered hundreds of thousands of three-body systems with stable periodic solutions. The only problem is that these found systems are currently rarely found in the universe.

That's what Lotter Duggan is up to. On the basis of previous research, the three-body problem was solved, and the N-body problem was overthrown.

Putting aside the physics and translating it into mathematical language is to find a simpler way to accurately calculate the solution of the eighteenth-order differential equation.

As long as this step can be achieved, after bringing in variables such as the starting position, velocity and mass of the star, the position of the star at any time can be calculated, and the orbit of the star can be depicted more accurately, so as to judge whether the galaxy system can operate stably.

Lotter Dugan has spent a lot of energy and time in this area, and has achieved a lot of results.

For example, the year before last, his team had provided NASA with a model of the convergence trajectory of chaotic systems, and some N-body periodic orbits simulated by accurate numerical simulations using this model have been observed by astronomical telescopes to indeed exist in the universe.

That's why NASA has been funding his research.

But in the past two years, as the research has deepened, Lott Dugan has also become more and more aware of the difficulty of this proposition.

It's so hard to go further. In a sense, the unreasonableness of mathematics also comes from this.

This is especially true when it comes to the calculation of complex equations.

Lott Dugan already had a hunch that he probably wouldn't be able to really solve this problem in his lifetime. Unless there really is a miracle.

This is also the reason why Lotter Dugan has always coveted Josser. In his opinion, the child José is a miracle.

He has seen many geniuses in his life. But before the age of twenty, he can achieve so much, and he is currently the only one who can achieve so much. Especially after communicating with Qiao Ze through video, this judgment was confirmed.

Being young means infinite possibilities, and if you can pull this miracle to Princeton and get him interested in the problem of the n-body, maybe he will see this problem that plagued Newton for the rest of his life solved.

In a sense, he also mathematically proved whether God really existed, or whether he really existed.

Unfortunately, the child's mind was completely unpredictable.

But when reading the weekly report, Lott Dugan doesn't think about these things.

This is a very serious matter, and if he finds the mistake, he can call the students and researchers in the research group to reprimand him angrily. Give these people a little bit of motivation to work hard.

Originally, Lott Dugan's temper was not good.

After communicating with Qiao Ze for a while, his temper became even worse.

Now I have been periodically looking at the students in my own research group, which is not very pleasing to the eye.

As a result, he even began to happily look for areas of the weekly newspaper that were not rigorous. For a well-known great mathematician, even if it is a tantrum, there must be a relatively rigorous reason. You can't always be like a neurotic, and you can't get angry from time to time for no reason.

In this way, time passed quickly in Lott Dugan's weekly newspaper reading, until his office was pushed straight away.

"Bang ......"

"Dugan Editor-in-Chief ......" Freya Rosa rushed in, and after taking a few steps, she noticed that the usually kind editor-in-chief had raised his head, his eyes over the lenses and staring at her, obviously unhappy with her sudden intrusion.

"God, am I really in Princeton? Even my favorite editor doesn't care about the most basic politeness anymore, and where is the damn Ronnie? The little old man said quickly.

"Uh...... I'm sorry, Dugan, editor-in-chief, but I don't think you want to miss the first time you saw this paper. José's ......," Freya Rosa said quickly.

"José? Did he submit his paper again? So what are you waiting for? Wait a minute...... Why are you so excited about Josser's paper? Don't even forward it to me directly, but come to me after printing it? Let me guess first...... What is the problem that this kid's new essay solves? ”

Lott Dugan seemed to forget his anger for a moment, and said with a wink of his little eyes full of wisdom.

Freya Rosa stood there and nodded her head quickly, literally like a chicken pecking rice.

Lott Duggan suddenly laughed and said, "Let me guess again, is it ...... that you are so excited about his paper?"

Speaking of this, Lott Dugan's smile suddenly faded, his expression began to become more and more serious, and he even tightened his brows, the vertical and horizontal furrows on his forehead gradually deepened a lot, and he paused for a long time before continuing: "God, don't tell me that his paper solves the existential problem of the Yang-Mills theory!" ”

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"Ahem...... Editor-in-Chief Dugan, can you guess that? Freya Rosa looked shocked, not quite pretending.

Lott Dugan subconsciously shook his eyebrows, ignored this sentence, just beckoned solemnly, and Freya Rosa, who received the signal, immediately stepped forward and handed the thick stack of papers that had been printed in his hand to Lott Dugan.

Lott Dugan scanned the title of the paper with a blank face.

Boy...... And so it was!

Actually, it's not hard for him to guess.

Josser's three papers are in the same vein.

From the beginning of his last paper, Lott Duggan had already realized that Josser's goal was to prove the existence of a mass gap. But before that, it is first necessary to determine the existence of a solution to the Yang-Mills equation.

Coupled with the fact that Freya Rosa, who has always been emotionally stable, was suddenly so agitated that she even broke into his office directly, it is enough to say a lot.

However, the printed paper did not have the author's name, which is not an omission, but that Freya Rosa is not clear about whether a double-blind review is required. And the fact that the author is Qiao Ze has already reported it.

After a general glance at the abstract of the paper, Lott Duggan looked up at Freya Rosa and asked, "Have you read this paper?" ”

Freya Rosa shook her head and said with the same seriousness: "I just read the title and abstract and sent it over, I think you are better suited to find a suitable reviewer for this paper than me." ”

"Oh, the author is the same as the previous paper, only Qiao Ze alone?" Lott Dugan asked.

"Yes, Editor-in-Chief Dugan, he's the only one." Freya Rosa hurriedly replied.

Lott Dugan nodded, then lowered his head and began to flip through Josser's paper.

The weekly report on the project team has been casually pushed to the other side by him.

Looking at the exaggerated title again, Lott Dugan pursed his lips, then took a deep breath and focused his attention on the body of the paper.

Beside her, Freya Rosa sat down lightly across from Lott Dugan's massive desk while Lott Dugan focused on his thesis, hiding herself behind the stacked volumes.

Through the gaps in these scrolls, I observed the change in the expression of the grumpy little old man opposite.

She didn't leave because she felt that the editor-in-chief would definitely have something to do with her.

And she might be able to tell something from the change in Lott Dugan's expression.

Although it is impossible for even this knowledgeable man to judge whether the argument of this paper is correct in a short time, at least it can be seen whether there are big loopholes in the logic of this paper.

If not......

Well, if this paper really stands up to the test, it's probably the most important mathematical achievement after the millennium, right? even surpassed Pang Jialai's conjecture.

The meaning of the two is completely different.

The professors at the school's physics faculty who study the microscopic world will probably be excited.

Because this mathematical framework is exactly what they have been looking forward to for more than half a century.

The only thing that she didn't know how to describe was that the author of the paper was too young. Again, the author of this paper is as concise as the previous one, with only one corresponding author and first author, and the two names are exactly the same.

Freya Rosa didn't know how that young man in Huaxia did this.

Because generally, the papers submitted by Huaxia will have a large list of names.

It is extremely rare to find a paper with such a concise author column.

Independent research results!

Nineteen-year-old youth!

When did Newton appear in China?

In fact, the reason why there is only one name for Qiao Ze is very simple, just fast.

Before anyone could react, Qiao Ze had already finished writing the paper and submitted it directly. Naturally, there won't be so much mess.

In fact, the Chinese mathematical community is still studying his last paper......

In short, the little editor's mind was as chaotic as mush, and he didn't notice that time was passing quickly, and Lott Dugan on the other side had already flipped to the third page, and his already serious face had become more serious, and he had even begun to subconsciously pick up the pen and start taking notes on the paper, occasionally muttering to himself.

Until the office door that didn't close came in, half of his body popped in.

"Dean Dugan ......"

Probably seeing Freya Rosa who turned her head, the secretary's words paused.

Lott Dugan had also raised his head, looked blankly at the secretary standing at the door, and the next moment his eyes gradually cleared.

"Ronnie...... Forget it, I'm going to the research institute, I probably won't be back today, so let's put all my arrangements for today away. Lott Dugan confessed.

"Huh?" The secretary was stunned, he didn't expect the dean to suddenly pop up with such a sentence, and after a while, he said in embarrassment: "Is the matter important?" Today......"

"Yes, it's important, more than anything! Don't say it, do as I say. If anyone has an opinion, you can ask him to go to the institute to find me, and then he will definitely understand what the anger of a mathematician is! ”

Lott Dugan said calmly, then put down the paper in his hand, stood up, walked to a frame not far away, and began to put on his coat.

Only then did he find Freya Rosa, who was sitting across from the desk, and asked in surprise, "Why haven't you left yet?" ”

Freya Rosa explained: "Ah...... I thought that after you had briefly read the paper, you would arrange something for me. ”

"Oh, no, I'm going to do it myself this time. I want to see with my own eyes the expressions on those people's faces. But you're doing a great job, Freya, and that's why I've always admired you. You always know what's more important. It's not like Ronnie ......."

Lott Dugan commented while he was getting dressed.

The secretary standing by the door rolled his eyes helplessly.

Well, this old man, it's been getting harder and harder lately.

However, Lott Dugan did not pay attention to this, and after putting on his coat, he had already picked up the printed paper on the table, and then explained: "Only one copy?" ”

"No, I printed three copies, and I was going to ...... it"

"Alright, give it to me."

Lott Dugan interrupted Freya Rosa's words and took a heavy bag of papers from her hand, then nodded in satisfaction, "What did I just say?" You are a thoughtful and intelligent person, Freya. Ronnie, you're going to learn from Freya, okay, I'm leaving. Goodbye, my two friends. ”

As he spoke, Lott Duggan walked out of the office with his file bag and brisk steps that did not match his age, leaving only the two of them looking at each other.

"Freya, don't you think the Dean is strange today? What's going on? The secretary asked with a confused expression.

"Maybe he hasn't been so excited in a long time, so he doesn't know how to express his excitement normally." Freya Rosa shrugged her shoulders and gave a playful answer.

At other times, she wouldn't dare to ridicule the editor-in-chief like this.

But she felt that she could be moderately ridiculed today, and Lott Duggan shouldn't care too much.

"Uh...... Well, even then there should always be a reason. So...... What happened? Ronnie spread his hands and said helplessly: "You must know that there is a dean's open class today, which was arranged a week in advance, and now it is suddenly canceled...... Oh my God, I've got to give you a reason. ”

Freya Rosa suddenly felt a little sympathetic to the dean's secretary.

It is indeed a troublesome thing to put on a wayward leader.

Thankfully, she doesn't have to think about these issues.

"Well, if I were you, I'd go to another professor in the name of the dean to give me a makeshift lecture. I'm sure you don't want to feel the wrath of mathematicians, right? ”

"Reason, please, Freya, please give me a reason!" Ronnie said helplessly.

Freya took a deep breath and said, "Proof of the existence of the Yang-Mills equation. What is the reason for this? Dear Dean, I should personally find a few reviewers worthy of trust for this paper, and even personally intervene in the review work at the first time. I guess that's enough, right? ”

Ronnie was stunned, then his eyes widened and he asked, "You...... No kidding? Is the paper submitted by a serious author? ”

"Do you think I'm joking with you? As for whether the author is serious or not...... Well...... Do you think that Dugan's editor-in-chief will go straight to the reviewer without having read the content in general? ”

"Well, dear Freya, Daken Kuka, Braulio Bruno, Amrita Steven...... Well, which of them is the author? ”

"Huh...... There is nothing to say except to tell you that you guessed wrong. Ronnie, you know the rules...... By the way, there are only twenty-eight minutes left in the dean's open class, if you don't want to give a lecture on stage, go find a reliable professor, I'll go back first. ”

With that, Freya Rosa also left Lott Dugan's office with brisk steps.

She was looking forward to it at first, but when she thought about it, she didn't know what to expect.

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