From Almighty Scholar to Chief Scientist

Chapter 400 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.

"What you mean is, besides 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 "it's finally 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, in addition to being amazed at Lin Xiao's achievement, they are sincerely admiring.

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."

"In fact, 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.

[φ(0,t)φ(0)~∑Anexp(-nt)...]

Seeing Lin Xiao's actions, the physicists and mathematicians who came from abroad were shocked and began to lift their spirits. The professors of the School of Physics and Mathematics sighed helplessly, forget it, just I can hope in my heart that Lin Xiao can really complete the proof.

On the other side, Maldassina couldn't help sighing with emotion: "It's only now that I remembered that our Professor Lin is still a young man, so this can almost be called an impossible challenge, and probably Lin Does the professor dare?"

Witten shook his head slightly, "Maybe it's because of his youth, but I think it has more to do with Lin's talent. Actually, I saw Lin prove the first existential question yesterday, and He only started to work on the quality gap problem.”

"what?"

Hearing the news from Witten, Maldacena immediately felt incredible.

Yesterday, Lin Xiao actually started to prove the quality gap problem?
But when he was about to ask about some details, Witten suddenly showed surprise and a little joy, looking up.

Maldassina raised his head in doubt, but didn't see anything, but Witten's expression told him that it didn't seem that simple.

But in fact, Witten made such an expression because he received a surprise from Lin Xiao.

That is the mathematical derivation that Lin Xiao is writing.

Lin Xiao's mathematical derivation method at this time is somewhat similar to the mathematical derivation method in the help he provided Witten at the beginning, but the method at this time is more direct to the essence.

And this is of great significance to Witten's goal of finding the existence of strings.

Therefore, he was extremely pleasantly surprised, and he paid more attention than before, carefully watching Lin Xiao's proof process, and at the same time analyzing the ideas embodied in Lin Xiao's methods in his heart.

At this moment, he even had another thought that he might have to stay here for half a month to discuss with Lin Xiao.

Of course, after seeing the mathematical method used by Lin Xiao, other people present also gradually discovered the subtlety of this method. Undoubtedly, this method is very suitable for the research of mathematical physics.

This made everyone present sigh with emotion. This guy showed his mathematical skills like a showmanship, and now he can create this mathematical method again.

"Where is the limit of this guy?"

But at this moment, Lin Xiao on the stage did not look at the reactions of other people, but completely sank into his own state.

Because this part of the derivation process was completed by him in the past two days, it is impossible for him to memorize it backwards, so he is completely re-deriving it now.

However, re-derivation is not difficult for him. A top mathematician like him can re-deduce all the processes and results in the paper just by reading the abstract, so this step is quite simple.

But the key question is how to complete the final question.

From yesterday to today, he has been stuck on the last question for a long time. It seems that he is very close to success, and he is just short of the goal, but if this kick is not made, everything will be in vain.

And he will also become the most generous person in the history of physics, because he selflessly revealed the whole idea of ​​such an important issue.

But obviously, he didn't want to be the most generous man.

So he is writing the previous derivation in his hand, but his mind is almost running at full capacity, thinking about where the proof of the final question should fall, and with the development of his brain, he processes in his mind every second. The "data" is almost equivalent to more than ten times that of ordinary people.

"Of course, you can't forget to thank the sun."

Suddenly, Lin Xiao smiled, it was that ray of sunshine that made him find his final direction.

Another 15 minutes passed, and he had already explained all the derivation process before the final question.

At this time, his handwriting also stopped at the last "∑" symbol.

All the people present were silent, looking at Lin Xiao's stopped right hand.

Is this the end?
Those top physicists and mathematicians who have followed Lin Xiao's train of thought have already seen that Lin Xiao has reached the last level, and as long as he solves the problems of this last level, he will be able to succeed.

But Lin Xiao, are you stuck at the last hurdle?
If so, everyone present couldn't bear to look directly at it. If Lin Xiao couldn't take the lead in solving it by himself in the end, then he would be the real ultimate wage earner.

But at this moment, Lin Xiao suddenly turned around with a smile on his face.

That smile shocked everyone present, didn't it?

"The color confinement of the non-commutative group Yang-Mills theory has been proved to be consistent with the rigor of theoretical physics, but there is no proof that is consistent with the rigor of mathematical physics."

At this moment, Lin Xiao spoke.

"In other words, beyond the confinement scale, those color-charge particles are connected by the 'flow tube' of chromodynamics, so there is a linear potential between the particles, so free color-charge particles such as gluons cannot exist."

"And if there is no such confinement effect, you should see gluons with zero mass; but because they are confinement, you can only see the bound state of gluons without color charge——glue waves. All glue waves have mass, so it is expected The existence of a mass gap."

"However, in the past, we only achieved rigorous proofs from experiments. We can fully see this from the "area law" of the decrease in the expected value of vacuum in the Wilson circle. However, we still lack mathematical proofs."

"Because only with a mathematically rigorous proof, we can deduce this result more precisely."

"And this is exactly when we need to start with photons."

Everyone present was taken aback, Lin Xiao said so much, but finally came to the photon?
But at this time, some people quickly reacted, such as Maldacena.

His eyes were shocked, "Yes, photon! If it is a photon, this mathematical model is..."

"Photons don't seem to have anything to do with the strong force, but my friends, we're rethinking our purpose, which is unification."

"And now, I think I've found an opportunity."

Suddenly, Lin Xiao turned his head and added a formula representing photons to the final mathematical model of the strong interaction force.

But at this time, the mathematical derivation that seemed to be impossible to continue suddenly underwent a transformation, forming a brand new form.

And everyone in the audience already knew what Lin Xiao was going to do next.

Next, Lin Xiao easily deduced this brand new formula.

till the end--

"So here, we can easily prove that if it is greater than 0, there is a mass gap!"

"At this point, everything is clear - the Yang-Mills gauge field exists and satisfies the strict criteria of contemporary mathematical physics, especially constructive quantum field theory, and at the same time, the masses of all particles in the force field predicted by the theory are strictly positive. of."

"The mystery of the strong interaction force will appear in front of physics from now on, and its mysterious veil will be unveiled."

After speaking, Lin Xiao opened his hands to celebrate the success of his challenge.

And the applause of the audience also rang out, sending their congratulations to the winner.

　Two chapters in one

　　
　
(End of this chapter)