As soon as Lin Xiao's words came out, everyone present showed incredible expressions.
Unify linearity and nonlinearity?
Most people just think about this problem, and have never even thought about it, let alone how to do it. Basically no one thinks so.
In their view, linearity and nonlinearity are two completely distinct things, and there is no possibility of intersection.
Just like water and fire are incompatible, positrons and negative electrons don't coexist, etc.
As a result, Lin Xiao suddenly made this statement, and he made it in front of so many of them.
And if it were another person, they would just treat it as a joke, but now it is Lin Xiao who is saying this!
Charles Fefferman's face was also full of surprise at this time, and he even suspected that he had heard wrongly.
"Professor Lin, could you please say it again, what did you just say?"
Lin Xiao repeated it again: "I said, maybe linearity and nonlinearity can be unified."
"Isn't this...impossible?"
Lin Xiao smiled and said: "Professor Fefferman, in mathematics, some things are impossible to do because the truth cannot be denied, such as the irrational numbers that the Pythagoreans wanted to deny."
"But things that have not yet become truth are possible, such as the fact that linearity and nonlinearity are not unified."
"After all, we don't have any rigorous proof yet that can show that linear and nonlinear things are not unified."
Having said this, Lin Xiao smiled, picked up the chalk again, and then continued to write on the blackboard.
"Professor Fefferman, regarding your question, I can prove it this way."
With that said, Lin Xiao began to write.
"Here, since the second-order and cubic quantities are the same, they must also remain unchanged under odd-even transformation..."
[(ηi)=(ηi)ac(ηi) bc……]
"Now, obviously it's non-linear, so now we need to change it to linear."
"To do this, we need to continue with the following transformations..."
As Lin Xiao narrated, everyone present also fixed their eyes closely on the formula he calculated on the blackboard.
How does Lin Xiao want to perfectly connect the nonlinear part of the original theory with the linear one?
Once Lin Xiao does it, everyone present will realize that there will probably be waves in the mathematics community in the future, and this will even involve various fields.
Because that means that their world can actually be simplified infinitely!
In this way, as time passed, there were more and more things written on the blackboard, and they became more and more complex.
At this point, the people who can understand can basically be counted on three hands.
Of course, this report is also being broadcast live, so there are many mathematicians watching the report online, so there are still a few top mathematicians watching the live broadcast who can understand it, but only those mathematicians can understand it.
A top mathematician.
Thomas Clay, chairman of the board of directors of the Clay Institute, was basically confused from beginning to end.
He couldn't help shaking his head and sighing: "Oh my God, these mathematicians are really crazy."
The person next to him laughed: "The mathematicians may not be crazy, but I think they think we are."
"What do you say?" Thomas Clay asked.
The person next to me said: "Because they will most likely think that we monkeys who don't understand mathematics actually come here to listen to such a report. Aren't we crazy?"
Thomas Clay was stunned for a moment, then shook his head with a smile.
What this said... seems to make sense.
Hey, I really don’t know how his elder, Landon Clay, the sponsor of the Clay Institute, originally thought of setting up a mathematics institute and then solving a Millennium Prize problem.
I don’t understand this at all!
Of course, putting all this aside, the operation that Langton Clay performed back then was definitely the greatest operation he had ever seen in his twenty years of practice.
At least, the reputation of their institute suddenly became famous.
At this moment, Lin Xiao on the stage stopped the pen in his hand.
He held the elbow of his left arm with his right hand, and held his chin with his left hand, looking at what he wrote on the blackboard, lost in thought.
And those who had been paying attention to Lin Xiao became confused.
Lin Xiao, what is this?
He hasn’t finished his argument yet?
Suddenly, people couldn't help but think, could it have overturned?
However, no one bothered him out loud. This respect should be maintained. If Lin Xiao felt that he couldn't handle it, he would definitely tell them.
In this way, time passed by, and more than 2,000 people in the audience were waiting for what the genius on the stage would do next. Should he continue writing and shock them, or should he choose to give up and change his mind?
What about saying sorry too much?
But what surprised everyone was that 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 polar coordinate formula?
However, everyone soon realized that what Lin Xiao wrote was not polar coordinates, or rather, it should be deformed polar coordinates.
"What is Lin doing?"
In the seat below, Fefferman was very confused when he saw this scene.
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, non-linear lines can never become linear lines. This cannot be changed, but changing the coordinates
Yes, maybe that’s it.”
"So Lin Xiao is doing this now?" Fefferman felt a little incredible.
Pompieri hesitated for a moment, and finally nodded: "Probably..."
"You guys, stop talking now and watch Lin Xiao's process." At this time, Deligne interrupted them and frowned at Lin Xiao's next process.
Fefferman and Pompieri looked at it immediately, and then both showed surprised expressions.
"this……"
Because Lin Xiao has 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.
Lin Xiao then performed a few more steps, and then a magical scene appeared. The nonlinear problem in the Fefferman problem was magically transformed into a linear straight line in this coordinate system!
In the audience, the top mathematicians all sat upright, showing their incredible expressions.
Gerd Faltings, the director of the Max Planck Institute of Mathematics and one of the top mathematicians, half stood up at this time. He probably realized that there were other spectators behind him, so he sat down again.
Down.
But even though he sat down, he couldn't help but murmur: "This is a great result!"
What made him react like this was precisely because of this new coordinate system, which made him feel extremely valued!
And the people around him were basically people who couldn't understand, but seeing Faltings react like this and say that, this undoubtedly proved that Lin Xiao's sudden creation had the ability to
of considerable importance.
At this time, Lin Xiao finally stopped the chalk in his hand, raised his head, and re-read the process in front of him.
Then he turned his head, faced everyone present, smiled and said: "Everyone, I am very lucky. Originally, I was going to use my old method to complete the proof of Professor Fefferman's problem, but now I accidentally discovered it.
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 lemmas and several basic postulates I gave, in this coordinate system, there is only linearity and no nonlinearity."
"However, obviously, you have also seen that this lemma of mine only fits the scope of the problem I am currently exploring. If I want to extend it to all fields, I need to generalize and 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 linearity and nonlinearity will be completely eliminated.
Be made up for.”
Having said this, Lin Xiao took a deep breath and looked at the stunned 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 was also one of his ideas in discussing his Lin's curvature tensor. However, the method he originally used was a relatively basic method, far from the absolute one now.
Linear coordinate systems are convenient.
The result was such a theory that they found on a whim, which allowed them to take the first step towards unifying linearity and nonlinearity.
Finally, he put away his emotions and continued: "So, that's basically it. Professor Fefferman, I think I've finished your questions. Is there anything else you want to ask?"
At this time, Fefferman was still immersed in the absolute linear coordinate system completed by Lin Xiao. He came back to his senses after hearing Lin Xiao's question.
"Oh...oh, I...have no problem."
Fefferman said to Lin Xiao.
But then, he once again set his sights on the coordinates given by Lin Xiao, and said with great amazement: "Lin...your talent is really terrifying."
"Langlands proposed his Langlands Programme, and now I think that your question will become our mathematical community... Oh no, this question should belong to the whole world. This should be the Lin family of the world.
