From all-round academic master to chief scientist

Time passed quickly, the paper was very long, and so was Lin Xiao’s narration.

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

In fact, many mathematicians who have read his proof have some problems in this part of the content. So after his explanation, these mathematicians no longer have problems, and they can't help but think in their hearts. It was indeed Lin Xiao who was able to describe such a complicated calculation process so clearly.

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

After all, everyone present can calculate, but not everyone can achieve this kind of calculation amount and calculation speed.

Most of them, if they wanted to talk about it, would 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 has undoubtedly made this report perfect.

Even Tao Zhexuan, who was sitting below, couldn't help but marvel at this: "You are worthy of this guy Lin Xiao. This calculation even makes me feel a little headache. It's really amazing."

While everyone was marveling at this dazzling performance, as much as two hours had passed quietly.

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

"...So to sum up, we can determine that the solution to the NS equation exists and is smooth."

"The mystery of the solution to the NS equation has now been unveiled, allowing us to see its basic properties."

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

In fact, it is already under control.

Lin Xiao smiled, and then continued: "Of course, we still need to continue to explore what the solution to the NS equation looks like. This ultimate problem of classical physics has not yet been completely solved in our hands."

"But I believe that we will eventually be able to realize Leonardo da Vinci's dream, and we will eventually achieve the goals of many mathematicians and physicists. 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 my proof ends here, thank you all."

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

Regardless of the final result, Lin Xiao talked for more than two hours, which was considered quite serious.

Then, as the applause stopped, Lin Xiao announced the next step: "Then, let me challenge you with your questions."

There was laughter in the audience. Challenge?

Quite similar.

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

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

There were many more people asking questions this time than before. Because there are many people studying NS equations, many of them have problems with Lin Xiao's proof.

Then, Lin Xiao identified the questioner one by one and then answered.

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

The professor asked: "Professor Lin, according to your definition of ▽F (T, How to solve the problem of system consistency?”

Lin Xiao smiled and said: "That's a good question."

Then he 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, let's look at the two algebraic identities I proposed in my paper."

[Xj(detF)/F=0 and...]

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

【Xj(detF*FT)= 0】

"Therefore, we can get the constraints of the deformation tensor F."

【▽j[Fjk^T/detF]=……】

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

With a look of realization on his face, 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 one's level. The more powerful a mathematician is, the more critical questions he will be able to ask, or in other words, the questions that directly hit the most fatal point in the entire proof process.

However, the questions asked by mathematicians nowadays are basically questions about which they are somewhat unclear.

So Lin Xiao quickly solved all these problems.

So just like that, fewer and fewer people raised their hands, until finally, no one asked any questions.

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

When most of the people below saw this scene, they estimated that there would be no problem, and they all sighed in their hearts. Lin Xiao had once again solved a famous problem in mathematics.

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

However, just when these people were thinking this, 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 another row, recognized the mathematician who raised his hand, raised his eyebrows, and then smiled.

That said, it would be a bit strange if there was nothing wrong with Charles Fefferman.

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

Terence Tao strategically leaned back on the back of his seat, showing an expression as if he was watching a show.

When Lin Xiao on the stage saw Fefferman raising his hand, he was slightly startled. Of course he knew Fefferman. After all, when he communicated with the mathematicians at the Institute for Advanced Study in Princeton, Fefferman naturally Also among them.

He also realized that this final question might not be that simple anymore.

Of course, no matter what the problem is, he will accept whatever comes.

"Professor Fefferman, please ask."

Charles Fefferman smiled and said, "Good morning, Professor Lin."

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

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

"In studying the algebraic properties of the curvature tensor of Riemannian manifolds, we can use the irreducible decomposition of the curvature tensor. This method also provides a powerful tool for analyzing irreducible bases, and is useful for determining the linear correlation of any Riemannian polynomials. Provides powerful tools.”

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

Everyone present looked at Terence Tao in the field. Professor Tao, who knew a little bit about everything, had inspired many mathematicians with his original paper on the NS equation.

Fefferman glanced at Tao Zhexuan, who was confused because of the sudden CUE, and smiled in his heart. Who told Tao Zhexuan to say that he had studied "a little bit" in front of him just now?

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, do you claim that this theory can describe those nonlinear manifolds? Then on page 34 of the paper, part (4.3), your method does not seem to show nonlinearity, but linearity, and then you completed your proof under linear conditions."

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

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

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

After this seemingly smooth argumentation process was proposed by Fefferman, many people present suddenly showed expressions of enlightenment.

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

"It turns out that this is the problem..."

"Hiss, the unity of linearity and nonlinearity? It's really scary."

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

Everyone raised their heads and looked at Lin Xiao.

This question is like directly finding Achilles' heel, making the entire proof process precarious.

Now, how should Lin Xiao solve this problem?

However, what surprised everyone was that Lin Xiao didn't have any panic on his expression, and even had a "finally discovered" and somewhat happy expression.

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

Fefferman and others were immediately surprised.

Fortunately?

are you serious?

In your eyes, you feel very lucky that such a problem that directly hits the pain point has been raised, and you are even worried that no one will raise it.

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

Lin Xiao smiled lightly, then looked at everyone present and asked, "But have you ever thought about how linear and non-linear can't be unified?"