From Almighty Scholar to Chief Scientist

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?"

Chapter 361 Lin's Program

As soon as Lin Xiao's words came out, everyone present showed incredible expressions.

Unify linear and nonlinear?

Most people just think about this problem, not even think about it, let alone think about how to do it, basically no one thinks about it.

In their view, linearity and nonlinearity are completely distinct things, and there is no possibility of intersection at all.

It's like fire and water are incompatible, electrons and positrons don't coexist, and so on.

As a result, Lin Xiao suddenly made this statement now, and he made it in front of so many of them.

And if it was another person, they would just take it as a joke, but now it is Lin Xiao who said this!

Charles Fefferman's face was also full of surprise at this time, and he even suspected that he had heard it wrong.

"Professor Lin, please say it again, what did you just say?"

Lin Xiao repeated it again: "I said, maybe linearity and nonlinearity can be unified."

"It's... impossible, right?"

Lin Xiao smiled and said, "Professor Fefferman, in mathematics, some things are impossible, because the truth cannot be denied, such as the irrational numbers that the Pythagoreans wanted to deny."

"However, things that have not yet become true are possible, such as the fact that linearity and nonlinearity cannot be unified."

"After all, we still don't have any rigorous proof that can show that linear and nonlinear things are not unified."

Speaking of this, Lin Xiao smiled, picked up the chalk again, and continued to write on the blackboard.

"Professor Fefferman, regarding your question, I can prove it in this way."

After speaking, Lin Xiao began to write.

"Here, since the second-order cubic quantities are the same, they also have to remain unchanged under the parity transformation..."

[(ηi)=-(ηi)ac(ηi)bc...]

"And now, obviously it's non-linear, so we need to make it linear now."

"For this, we need to proceed with the following transformations..."

Following Lin Xiao's narration, everyone present also fixed their eyes on the formula he calculated on the blackboard.

How does Lin Xiao want to make the non-linear part of the original theory perfectly connect with the linear?

Once Lin Xiao did it, everyone at the scene would realize that probably the world of mathematics would make waves in the future, and it would even involve various fields.

Because that means that their world can actually be simplified infinitely!

In this way, as time passed, more and more things were written on the blackboard, and they became more and more complicated.

At this point, people who can understand can basically be counted with three hands.

Of course, this report is also being broadcast live, so there are many mathematicians watching this report online, so there are still a few top mathematicians who can understand the live broadcast, but only those mathematicians top mathematicians.

Thomas Clay, the chairman of the board of directors of the Clay Institute, was basically confused from the beginning to the end.

He couldn't help shaking his head and sighing: "My God, these mathematicians are really crazy."

The person next to him laughed: "Mathematicians may not be crazy, but I think they should think we are crazy."

"What do you say?" asked Thomas Clay.

The person next to him said: "Because they will most likely think that we monkeys who don't understand mathematics are crazy to come here to listen to this kind of report?"

Thomas Clay was taken aback for a moment, then shook his head with a smile.

What you said... seems to make sense.

Hey, I really don't know how his elder, the patron of the Clay Institute, Langton Clay, thought of setting up a mathematics institute and then came up with a Millennium Prize puzzle.

It's simply incomprehensible!

Of course, aside from these things, Langton Clay's operation back then was definitely the greatest trader he had seen in his 20 years of practice.

At least, the reputation of their institute has suddenly started like this.

And at this moment, Lin Xiao on the stage stopped the pen in his hand.

He supported the elbow of his left arm with his right hand, while he pinched his chin with his left hand, looking at what he wrote on the blackboard, lost in thought.

And those who have been paying attention to Lin Xiao are puzzled.

Lin Xiao, this is it?

He didn't finish his argument either?

Suddenly, people couldn't help thinking, did the car overturn?

However, no one disturbed him. The respect he should have should be maintained. If Lin Xiao felt that he couldn't handle it, he would definitely tell them.

In this way, the time passed by every minute and every second, and more than 2000 people in the audience were waiting for what the genius on the stage would do next, whether to continue writing and shock them, or choose to give up and turn their heads Say sorry?

But to everyone's surprise, Lin Xiao suddenly changed the blackboard.

Then, he continued to write on the blackboard.

His operation is different from what everyone thinks!

What Lin Xiao wrote next made people even more suspicious.

Isn't this the formula for polar coordinates?

But soon everyone realized that what Lin Xiao wrote was not polar coordinates, or in other words, it should be deformed polar coordinates.

"What is Lin doing?"

In the seat below, Fefferman, who saw this scene, was very puzzled.

Why did Lin Xiao suddenly write something else?

But Pompieri next to him frowned: "Lin wants to create a new coordinate system."

"New coordinate system?"

"Yes."

Pompieri suddenly said: "Yes, no matter in the Cartesian coordinate system or in other coordinate systems, a nonlinear line can never become a linear line, which cannot be changed, but if you change the coordinate system Yes, maybe it will."

"So Lin Xiao is doing this right now?" Fefferman felt a little unbelievable.

Pompieri hesitated for a moment, and finally nodded: "Probably..."

"Stop talking, and watch Lin Xiao's progress." At this time, Deligne interrupted them, frowning and watching Lin Xiao's next progress.

Fefferman and Pompieri looked at it immediately, and then both showed surprised expressions.

"This……"

Because Lin Xiao has already completed the construction of this new coordinate system.

And he also substituted the key function included in the question Fefferman just asked into this coordinate system.

Next, Lin Xiao performed a few more operations, and then a miraculous scene appeared. The nonlinear problem in Fefferman's problem was magically transformed into a linear straight line in this coordinate system!

In the auditorium, the top mathematicians sat up straight, showing disbelief.

The director of the Institute of Mathematics of the Max Planck Society, Gerd Faltings, one of the top mathematicians, stood up halfway at this time, probably realizing that there were other spectators behind him, so he sat down again. Down.

But even though he sat down, he couldn't help muttering: "This is a great achievement!"

It is precisely because of this brand new coordinate system that he can react like this, which makes him feel extremely important!

And the people around him are basically people who can't understand, but seeing Faltings react like this and say that, this undoubtedly proves that what Lin Xiao made suddenly has a of considerable importance.

At this time, Lin Xiao finally stopped the chalk in his hand, raised his head, and looked at the process in front of him again.

Then he turned his head, faced everyone present, smiled and said: "Everyone, very lucky, originally I was going to use my old method to complete the proof of Professor Fefferman's question, but now I accidentally discovered A new approach."

"That is, as you can see, this new coordinate system."

"And I think, I can now call this coordinate system an absolute linear coordinate system. According to the basic lemma and several basic postulates I gave, in this coordinate system, there is only linearity and no nonlinearity."

"However, obviously, you have also seen that my lemma is only in line with the scope of the problem I am exploring now, and to extend it to all fields, it is necessary to prove these lemmas and postulates."

"Then, as long as these lemmas and postulates are generalized and the final proof is completed, from then on, our nonlinear world will be simplified into simple straight lines, and the gap between linear and nonlinear will be completely was made up."

Speaking of this, Lin Xiao took a deep breath and looked at the sluggish audience. He did not expect that he would suddenly discover such a coordinate system.

He once briefly thought about the unification of linearity and nonlinearity, which is also one of his thoughts in discussing his Lin's curvature tensor, but the method he originally used was a relatively basic method, which is far less than the absolute The linear coordinate system is convenient.