From Almighty Scholar to Chief Scientist

Chapter 361 Thank you for asking a fatal question?

Time passed quickly, the paper was very long, and Lin Xiao's narration was also long.

Especially after he proposed Lin's curvature tensor method, he needed to use a large number of calculation processes handled by this method. It took him a month to complete the entire calculation process. At the same time, due to the extremely complicated The calculation is very necessary, so in this report, he also had to spend more time explaining this part of the content.

In fact, many mathematicians who have read his proof have some problems in this part of the content, so after his narration, these mathematicians have no problems, and then they can't help but think in their hearts. As expected of Lin Xiao, he was able to explain such a complicated calculation process so clearly.

If the Lin's curvature tensor proposed by Lin before is an amazing creation, then this calculation is Lin Xiao's show off.

After all, among the people present, everyone can calculate, but not everyone can achieve such a calculation amount and calculation speed.

Most of them, if they want to talk, will probably just say "because this calculation is too long, I won't go into details."

But obviously, saying this will affect the integrity of this academic report, and now, Lin Xiao's complete narration of this part will undoubtedly make this report perfect.

Even Tao Zhexuan, who was sitting below, couldn't help being amazed at this moment: "As expected of Lin Xiao, this calculation even seems to me to feel a bit of a headache, it's really powerful."

While everyone was amazed at this show, more than two hours had quietly passed.

Of course, the entire proof process has finally come to an end.

"... So in summary, we can be sure that the solution of the NS equation exists and is smooth."

"The mystery of the solution of the NS equation has been uncovered by us so far, allowing us to see its fundamental nature."

"The momentum of each fluid unit can be unraveled, and they have laws that can be controlled by us, and its final solution will be the key to all of this."

In fact, it is already under control.

Lin Xiao smiled, and then continued: "Of course, what the solution of the NS equation looks like is still to be developed by us. This ultimate problem of classical physics has not been completely solved in our hands."

"However, I believe that Da Vinci's dream, we will finally be able to achieve it, and the goals of many mathematicians and physicists will also be achieved by us. So, now let us look forward to that day. Bar.

Speaking of this, Lin Xiao also let out a sigh of relief.

"Then I think this is the end of my proof, thank you all."

Applause broke out suddenly, and everyone below applauded Lin Xiao to express their respect.

Regardless of the final result, Lin Xiao was quite serious when he spoke for more than two hours.

Then, as the applause stopped, Lin Xiao announced that he would enter the next session: "Then, let me challenge you with your questions."

There was laughter in the audience, challenge?

It's pretty similar.

Of course, the vast majority of people in these seats have been waiting a long time.

Soon, a pair of hands were raised, and these mathematicians had been waiting for a long time.

This time, there are many more people asking questions than before, because there are many people who study the NS equation, so more or less they have problems with Lin Xiao's proof.

After that, Lin Xiao named the questioners one by one, and then answered them.

The first was a professor from the International Institute of Mathematics, Beijing University. Lin Xiao left the first question to his own people.

The professor asked: "Professor Lin, according to your definition of ▽ F (T, X) on page 2.1 (0), the general form of the identity of △ FT = [-] can be deduced, but I want to know, you have to How to solve the problem of system consistency?"

Lin Xiao smiled and said, "Good question."

Then he also picked up his paper, looked at it a few times, then picked up the chalk, and started writing on the blackboard next to it.

"First, look at the two algebraic identities I proposed in my thesis."

【Xj(detF)/F=0 and...】

"Through these two algebraic identities, we can easily obtain the following result."

【Xj(detF*FT)=0】

"Thus, we can get constraints on the deformation tensor F."

【▽j[Fjk^T/detF]=……】

A lot of complicated formulas appeared in Lin Xiao's pen, and the Peking University mathematics professor who asked the question followed Lin Xiao's train of thought and quickly understood how to answer his question.

Showing a suddenly realized expression, he smiled and said, "Thank you, Professor Lin, I understand."

"You're welcome."

Lin Xiao smiled slightly, and then continued to ask the next question.

Questioning is also a test of level. The more powerful a mathematician is, the more critical questions he will naturally be able to ask, or in other words, the most fatal questions in the entire proof process.

However, the mathematicians who ask questions now basically ask questions that they are not clear about.

So Lin Xiao quickly solved all these problems.

In this way, fewer and fewer people raised their hands, until finally, no one asked questions.

Seeing that no one raised their hands, Lin Xiao smiled slightly, thinking that basically no one had any problems, so he asked procedurally, "Does anyone have any problems?"

Seeing this scene, most of the people below thought there was no problem, so they all felt emotional in their hearts. Lin Xiao once again solved a famous problem in the mathematics world.

Two of the remaining six Millennium Prize problems were miraculously solved within two years... Oh no, strictly speaking, the time difference between the two is only one year.

However, just as these people were thinking so, Fefferman in the front row finally raised his hand.

There was a moment of silence on the field.

"Is that Fefferman?" Terence Tao, who was sitting in the other row, recognized the mathematician who raised his hand, raised his eyebrows, and then smiled.

That is to say, it would seem strange if Charles Fefferman had no problems at all.

"I don't know, how should Lin Xiao answer now?"

Tao Zhexuan leaned back on the back of the seat tactically, showing an expression of watching a play.

Lin Xiao on the stage was also slightly taken aback when he saw Fefferman raise his hand. Of course he knew Fefferman. is also among them.

He also realized that this finale question might not be so simple.

Of course, no matter what the problem is, he will always come and refuse.

"Professor Fefferman, please ask."

Charles Fefferman smiled and said, "Hello, Professor Lin."

"Ever since I read your proof, I feel very happy, because it means that I have probably found an answer to the question I have been looking for for a long time."

"Of course, before that, I also have to ask you my last question."

"In the study of the algebraic properties of the Riemannian manifold curvature tensor, we can use the irreducible decomposition of the curvature tensor, which also provides a powerful tool for analyzing irreducible bases, and for determining the linear dependence of any Riemann polynomial Provides a powerful tool."

"However, we all know that to solve NS equation problems, we must use nonlinear methods, and in the field, Professor Tao believes that this can be proved."

All the people present looked at Tao Zhexuan in the field. This professor Tao who knows a little bit about everything, his paper on NS equations brought a lot of inspiration to many mathematicians.

And Fefferman glanced at Tao Zhexuan who was at a loss because of the sudden CUE, and hummed in his heart, who made Tao Zhexuan say in front of him just now that he had studied "a little bit"?
But then, he went on to say to Lin Xiao: "So, back to Professor Lin's part of your Lin's curvature tensor theory, what I want to ask now is, you claim that this theory can describe those nonlinear manifolds, Then on page 34 of the paper, section (4.3), your method does not seem to show nonlinearity, but linearity, and then you have completed your proof under linear conditions."

"So, I also have a problem with this part of you."

"Have you found a way to unify linearity and nonlinearity?"

As Fefferman asked the question, everyone present immediately picked up the paper in their hands, and then turned to page 34.

This seemed to be an extremely smooth argumentation process. After Fefferman's proposal at this time, many people present suddenly showed expressions of enlightenment.

Even the professors at the Princeton Institute for Advanced Study next to Fefferman opened their eyes wide.

"So that's the problem..."

"Hiss, the unity of linear and nonlinear? It's just too scary."

"Now, Lin Xiao probably really encountered a problem."

Everyone raised their heads and looked at Lin Xiao.

This problem, as if directly finding the Achilles' heel, made the whole proof process precarious.

Now, how should Lin Xiao solve this problem?
However, to everyone's surprise, Lin Xiao's expression did not show any panic, and there was even a happy expression of "Finally found out".

He smiled and said: "After I wrote this step, I have been thinking about whether it will be too hidden, and no one will find out by then, but fortunately, Professor Fefferman, you found it, thank you."

Fefferman and others were suddenly surprised.

Fortunately?

are you serious?
In your eyes, you are very lucky to be asked such a question that directly hits the pain point, and you are even worried that no one will ask it.

Fefferman: "...Hehe, you're welcome."

Lin Xiao smiled lightly, then looked at everyone present, and asked, "But you have never thought about it, how can linearity and nonlinearity not be unified?"

(End of this chapter)