"Especially the derivation process from the NP problem to the P problem."

"Yes, from the NP problem to the P problem, I have also read the article written by Professor Faltings. The description in it is very correct. I did use the ideas in the P=NP problem."

"Here I also want to thank Professor Witten. If he hadn't accidentally mentioned a P=NP problem, I probably wouldn't have changed my thinking to this direction."

Speaking of this, Lin Xiao also smiled and glanced at Professor Witten, and everyone present looked at Witten in surprise. He never thought that Lin Xiao would think of using this problem in computing technology and mathematics to solve their physical problem. , actually because of the inspiration provided by Witten.

At this time, Lin Xiao also smiled and said, "Then, in this report, I will focus on how I use the P=NP idea to solve my problem."

Turn the page of the PPT, and then an explanation of the P=NP problem appears above.

For the scientists present, it was not difficult to understand the meaning of this question, but there were also some school students sitting in the back row, especially those from the School of Physics, who participated in this report.

It's just that when these students saw the question given by Lin Xiao, they immediately showed a confused expression.

What does this question mean?

Now they can't even understand the meaning of the question.

Of course, Lin Xiao obviously wouldn't take care of these students, and didn't waste time on it.

Soon, after telling these things, he moved into the explanation of his steps and ideas, which is the most important thing for the physicists and mathematicians present.

Because of this idea, it is very likely that it will help them in their subsequent research.

And then, under Lin Xiao's detailed explanation, the steps that they were still at a loss when they read the thesis, they suddenly understood at this moment.

In the seat below, Maldassina said in amazement: "Oh my God, it turns out that it is like this, is it possible to reconcile and transform Einstein's field equations? Such mathematical ability... This is really enviable. ability."

"Yes, that's true." Witten nodded and said, "I thought I had understood his steps, but I didn't expect there to be such a deep meaning!"

"Professor Lin, what else does he know?" On the other side, in the professor's seat of Shangjing University, Dean Zhao Qi was also amazed.

Next to him, Xu Ji shook his head and said: "Probably not, number theory, algebraic geometry, differential geometry, cohomology, harmonic analysis... I really can't find it, and now he has shown this in computer mathematics. Tell me he can prove that P=NP, and I'm probably willing to believe it."

"Fortunately, he is a member of our school." Zhao Qi said with a smile, but at this moment, he caught sight of Wang Changsheng, the dean of the school, who was sitting in another row of seats, and his smile froze immediately. Then silently covered his heart.

It hurts, it hurts too much.

……

In this way, Lin Xiaowei perfectly explained the most incomprehensible part of his paper to everyone present.

At this point, everyone present also understood, but at this time they also understood one thing, that is, Lin Xiao's method, only Lin Xiao can use it, and it is very difficult for them to use it.

Because this is a kind of virtuosity that Lin Xiao performs in mathematics, just like a pianist named Liszt, who created the piano virtuoso school because his piano skills are too good, so that only he can play some songs Come on, the method Lin Xiao gave at this time is exactly the same.

This is Lin Xiao's unique skill, which requires inspiration and technology to complement each other. It is very difficult for others to use it. At least the time it takes needs to be multiplied.

Thinking of this, besides being helpless, the people present were also shocked.

It is unbelievable that only one person can use a mathematical method.

And then, this report became simpler. The next steps, those present basically read Lin Xiao's paper and understood the latter part, can also deduce it.

So, Lin Xia quickly finished the last part of this paper.

However, just when the people present thought that today's report was over, Lin Xiao suddenly erased the words on the blackboard and started to write again.

[U(a, L) A(x) U(a, L)...]

Seeing Lin Xiao's steps, the people present were puzzled for a while, but soon, someone exclaimed: "This is... the existence of the Yang-Mills gauge field?!"

Chapter 399 Challenge!

Existence problem of Yang-Mills gauge field?

Looking at the mathematical formula written by Lin Xiao on it, the physicists present came to their senses. After all, this is something that theoretical physicists like them have been studying.

Of course, mathematicians also reacted later. In any case, although this problem is a problem in physics, since it has been included in the seven millennium mathematical problems, then for these top mathematicians, even if they don’t To study, simply to see, to understand what, and still will.

So at this moment, the scientists present were extremely puzzled by what Lin Xiao was doing at this time.

What is this for?

Didn't he just finish the narration of that paper last moment?

Shouldn't it be time to ask questions?

Although the people present have understood how his method came from Lin Xiao's narration just now, they still have some questions about the whole paper, so many people are planning to ask questions.

In the end, why did Lin Xiao turn around and write this?

Everyone present couldn't help but have an unbelievable guess in their hearts. Could it be that Lin Xiao wanted to solve this problem in this report?

"Witten, you should know what's going on, right?"

On the seat below, Maldassi looked serious, and while watching Lin Xiao's next steps, he asked Witten next to him.

He recalled what the latter said when he chatted with Witten before the report started, and asked in surprise: "Don't tell me, this is the surprise that Lin wants to give us? No, it should be a big surprise?! "

Witten laughed and said, "Let's just look down. For now, I can only tell you that this is just a surprise, not a big surprise."

"Isn't that a big surprise?" Maldacena expressed a little unbelievable. If this is not a big surprise, then what is it?

Proving the existence of the Yang-Mills gauge field is definitely a major event in their theoretical physics world. Although it will not be compared with the unification of quantum mechanics and relativity, for many physicists, this is still very important. great significance and role.

After all, this question is about the strong interaction force, and there are so many physicists who study the strong interaction force, and there may be quite a few physicists who will be excited by this matter.

So what's the bigger surprise than this one?

Maldacena naturally thought of the problem behind this problem, that is, the mass gap problem.

"You mean, in addition to this proof of existence, Lin also wants to solve the problem of mass gap?"

Hearing Maldacena's guess, Witten just smiled, but did not answer, but pointed to Lin Xiao above, and said, "Let's read on, it will only take an hour or two."

Looking at Witten's appearance, Maldassi felt itchy in his heart. Although it was indeed only an hour or two, how could such a thing be endured if he wanted to?

But when he looked up and saw Lin Xiao's next steps, his attention was immediately attracted.

"This...this is?"

He widened his eyes and looked at what Lin Xiao wrote at this time.

"Is this a derivation that directly uses the conclusion of the unity of relativity and quantum mechanics?"

In an instant, he put his mind into it. At this time, the method Lin Xiao used in the proof process will provide some theoretical guidance for physicists like them in the next research, especially in mathematics. guide.

So even though Maldassina felt very itchy in his heart, he began to look at it seriously.

After all, in terms of mathematics, although he is quite self-confident, he still has to learn in the face of Lin Xiao, a top mathematician who has won the Fields Medal and the Wolf Prize in Mathematics.

Of course, it wasn't just him, even Witten, who also won the Fields Medal next to him, also watched Lin Xiao's process seriously.

Although he knew that Lin Xiao proved this problem, he had never seen Lin Xiao's proof process, so when he saw Lin Xiao's proof at this moment, his eyes could not help but light up, and he felt a certain amount of inspiration .

As a result, everyone in the audience quietly watched Lin Xiao's performance on the stage. Everyone fell into silence, and no one spoke.

Although the students present who came to watch didn't know what happened, after all, most of them couldn't even understand a formula written by Lin Xiao on the blackboard, but at this moment they also knew that their Lin Shenda The probability has done something incredible again.

In this way, as time passed, Lin Xiao wrote more and more things on the blackboard, and the same thing became more and more complicated.

When one blackboard was used up, another blackboard was replaced, and even though it was replaced, Lin Xiao did not open his mouth to explain, but just wrote on his own.

Of course, because of this, there are fewer and fewer people who can keep up with him.

Even for some famous physicists, even winners of the Nobel Prize in Physics, it takes a certain amount of time to think, but when they haven't figured it out, Lin Xiao has already written the next step.

This made them feel helpless in their hearts, why did they write so fast, and they didn't say a word, so they didn't let them think for a while.

But you can't just look up, if your friends find out, you might guess that you didn't understand Lin Xiao's steps, so you won't be able to make fun of your friends later?

So they endured the pain of not being able to keep up, let their brains run to the extreme, and kept up with Lin Xiao's calculations.

Just like that, thousands of spectators, almost full of seats, seemed to be watching a mime in the vast auditorium of Beijing University, and the only protagonists of this mime were Lin Xiao on the stage, and his hands. chalk and those blackboards.

Twenty minutes passed, and Lin Xiao also wrote on the blackboard for half an hour.

The handwriting stopped in the middle of the fourth blackboard. The four blackboards were filled with dazzling mathematical and physical symbols.

As for the audience, more than 99% showed expressions of "finally it's over", while the remaining less than 1% showed expressions of "that's how it is".

The proof of existence has been completed.

The remaining less than 1% of the people are people who can keep up with Lin Xiao's thinking. At this time, apart from being amazed at Lin Xiao's achievement in their hearts, they also sincerely admire him.

Lin Xiao has just completed the unification of quantum mechanics and relativity, but he can use it in the next proof in a blink of an eye. This kind of comprehensive ability is something they can't learn.

At this moment, Lin Xiao also spoke: "I'm sorry everyone, I kept you waiting for a long time."

His voice broke the continuation of the mime, and at the same time made the people present to focus on him again.

"I know that everyone may be wondering why I suddenly want to study the relationship between gravitons and relativity, and why I suddenly unify quantum mechanics and relativity."

"Actually, these purposes are for what you see, yes, it is the existence of the Yang-Mills gauge field."

Lin Xiao smiled, and then continued: "Hehe, speaking of it this way, the unified theory of relativity and quantum mechanics is actually just to solve such a problem, but it's a bit... well, how should I say, killing chickens with a sledgehammer? Haha, no Having said so much, anyway, when I was solving this problem, I didn't think so much, I just thought about it, and then I did it, and in the end, I accidentally succeeded."

The people below all rolled their eyes wildly.

We know you are amazing, but is it time to talk about this?

Isn't it about another question?

The Yang-Mills gauge field problem is divided into two parts, and there is the most critical mass gap problem.

Combined, these two problems are a complete millennial problem.

As for which of the two problems is more difficult... The people present didn't know, after all, they had never done it before.

However, next, Lin Xiao did not disappoint them.

"Of course, everyone must be aware of the Yang-Mills gauge field problem, and there is another problem."

"That's the mass gap problem."

"Frankly speaking, I haven't solved this problem-"

When Lin Xiao said this, the physicists present all showed regretful expressions.

It seems that they cannot witness a second history today, but only witnessed 1.5 histories.

And Witten underneath also showed a regretful expression, it seems that the big surprise is gone...

However, it is also understandable. After all, from yesterday to today, there is only one day. It is entirely possible that Lin Xiao has not solved it.

But what about the surprise that Lin Xiao said to give him?

And just when he was puzzled, Lin Xiao on the stage said at this time: "However, at this report meeting, I want to challenge myself to prove the existence of the quality gap on the spot!"

Those present who felt a little regretful just now were once again shocked by Lin Xiao's words.

Challenged to solve mass gap issues on the spot?

"Is this something that can be done?"

Everyone present had such a question in their hearts.

This is not as easy as Lin Xiao put forward two conjectures in the report.

Although both asking questions and solving problems are important, but in terms of difficulty, they are obviously different!

Witten was also surprised. Are you sure Lin Xiao wants to do this?

He believes that Lin Xiao must have a certain idea, but it is not impossible to be stuck on a problem for ten and a half months, or even three to five years at the last moment.

And if Lin Xiao fails in the challenge, wouldn't it be equivalent to expressing his own thinking? If someone else knows his thinking and completes the proof first, it will be bad. Not that it didn't happen.

Even when Perelman proved the Poincaré conjecture back then, he encountered this kind of thing. At the beginning, because Perelman's proof was too concise, many people could not understand it, which led to some people stealing. Heart, to come up with a more perfect version according to Perelman's ideas, and take away this honor.

And now Lin Xiao will undoubtedly face this situation.

Of course, other people also thought so in their hearts at this time.

The professors of the School of Physics and Mathematics of Beijing University are in a hurry.

Although Lin Xiao has not proved it now, maybe he will prove it after a while?

And if he speaks out his ideas now, and finally fails this "challenge" and is taken advantage of by others, then the loss outweighs the gain.

If Lin Xiao proves it, then the news will be [Professor Lin Xiao of Beijing University School of Mathematics (School of Physics) successfully proved a world-class problem].

However, no matter how anxious they were, they still couldn't stand up and stop Lin Xiao at this time, and it was impossible for them to regard Lin Xiao as some kind of "ignorant junior" or "a subordinate who would not come to trouble".

At this time, Lin Xiao also picked up a pen and began to write on the blackboard.

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