When the formula for the solution was displayed on the big screen, the audience was stunned at first, and then the exclamations in various languages were endless, and then countless mobile phones were taken out, and looking down from the report table, everyone began to take pictures of the results given by Qiao Ze.

If this is the surprise that Xu Dajiang said, then this surprise is a little too big.

The young man on the stage actually directly calculated the general solution of the Yang-Mills equation?

So is this far from completely solving the quality gap problem?

In the first row, after staring at the results of Qiao Ze's explanation for a long time, Yang Lao turned his head sideways to look at Li Jiangao beside him in amazement and asked, "Do you know?" ”

Li Jiangao shook his head blankly, and the surprise in his heart was no less than that of the others on the scene.

He only knew that Qiao Ze had been in retreat for a while, and he really didn't ask what he was studying in retreat.

Behind him, Edward Witten had already taken a picture of the formula, then edited it into his mailbox and sent it out, and then dialed directly.

"Hey, Neo, I just sent you the general solution of the Yang-Mills equation, please use my dedicated channel to verify it immediately."

"Huh? Mr. Witten? What did you just say? What is the general solution of the Yang-Mills equation? ”

"Yes, you heard it right. I thought that this time I came to Huaxia just to listen to a report on the existence of solutions, but who would have thought that as soon as the report began, that child would directly give a general explanation. ”

"Is it like this? It's amazing! Well, then, Mr. Witten, though I'm home now, I'm willing to work overtime for the sake of solving the Young-Mills equation. ”

"Thank you, Neo, check your email."

After saying that, Edward Witten hung up the phone, and several people around him immediately started talking to him.

"Edward, do you think Jozer's explanation is correct?" There was still a deep sense of surprise in Lott Dugan's tone.

Edward Witten pursed his lips and replied, "I'm not a student of mathematics, let alone PDE, so it's wrong for you to ask me, maybe Daniel understands." ”

These words directly shocked Lott Dugan, and he was speechless for a while, and then glanced at Daniel, who was still in a daze beside him......

From the moment Edward Witten called the supercomputer, this guy began to be in a daze, and it seemed that he couldn't count on it. Not bothering to pay attention to the two people around him, Lott Dugan turned around and saw the young European mathematician Peter Schultz staring at the screen, and his eyes lit up.

"Hey, Peter, do you think that's right?"

"Huh?" The young man, who was considered to be the most likely to solve the problem of the unification of mathematics, gave Lott Duggan a blank look, then pursed his lips and asked rhetorically, "Professor Dugan, are you serious?" ”

"What do you mean?"

"Do you think that someone's brain can compare to supercomputing?"

"Forehead ......"

"Professor Dugan, this is not something that mathematicians can do, we have to let the people who do computers do."

"Of course I know, I mean intuition...... Are your mathematical instincts failing? ”

"Huh...... Who dares to have an intuition on this subject? Not to mention that there is no proof process yet. However, if I think about it from another angle, if I have not verified whether the results are correct, I will definitely not dare to directly publish the general solution on such an occasion. ”

……

At the same time, almost all the professors in the front row who could contact supercomputing were busy.

Fortunately, many of the professors were from the same school, so one of the representatives called, and the others tacitly started the discussion.

A group of professors at Yanbei University called back as soon as Zhang Hongcai called back.

"Has the school started verifying?" Qian Yuhai hurriedly asked.

"Well, the explanation has passed, the programming is completed in half an hour, and then the supercomputer is immediately on. By the way, use the Tianhe-1 of the Chinese Academy of Sciences to verify. Zhang Hongcai replied concisely.

Yanbei has its own supercomputing platform, but the speed is certainly not as fast as those national supercomputing platforms.

In addition, Huaqing, Harvard, Columbia, Clay Institute, ......

All the units that have the ability to verify the news were the first to get the news out.

As for the scholars and students who are not able to mobilize supercomputing, they are actually not idle.

Twitter, Facebook, domestic Moments, Weibo, Zhihu and other social and Q&A sites have become the main front.

"God, you can't believe what I'm seeing. General solution of the Yang-Mills equation! I saw it for the first time! If the result is correct, am I a part of history?! ”

"Crazy, all crazy! Don't say we can't sit still, those bigwig-level professors in front of us can't sit still! ”

"Big news, Xilin Qiaoze's thousand-person report gave a general solution to the Yang-Mills equation at the beginning, and no one dared to question it among the academic bigwigs on the scene!"

"I'm so excited, and I hope this general explanation is correct, because after listening to Qiao Ze's explanation, my doctoral dissertation will have a direction!"

"Excuse me, how do you verify this thing? Crying to death, undergraduates have no human rights! Yesterday, I went to study the Yang-Mills equation and found that I couldn't understand it, and today I still don't understand it when I see this general solution! ”

"Brother, remind you, the one on the stage is also an undergraduate. I look like I'm a sophomore! ”

……

Qiao Ze on the stage ignored the commotion from the audience.

I just waited silently in my heart for ten minutes to pass.

Then he picked up his pen and walked to the first blackboard.

The camera at the scene also began to move with Qiao Ze for the first time, and projected the blackboard that Qiao Ze was walking to on the big screen.

Otherwise, except for the people in the first five rows, no one in the back can read the content of the board clearly.

"The Yang-Mills theory describes the dynamics of the gauge field, which is embodied in the equation that satisfies the field strength tensor of the gauge field, and it is extremely difficult to solve it directly.

For this reason, I devised a special algebraic structure, which I named supercoiled space algebra. In order to be able to solve the problem smoothly, the first step I did was to reinterpret the dynamics of the gauge field in supercoiled space algebra.

So what I need you to do is understand these basic concepts, the supercoil gauge covariant derivative, the supercoil field strength tensor of the gauge field, the source term of the space gauge field, and a few important curvature parameters that only work in the supercoiled space......"

did not deliberately make the scene quiet, when Qiao Ze walked to the blackboard and began to write on the board, and began to introduce his latest research results, the noisy scene immediately quieted down, and everyone's eyes were focused on the big screen.

Especially the bigwigs in the front row......

At this moment, there is a feeling of brain exploding!

Really!

It's new math!

Of course, this makes sense.

Because any known mathematical tool, mathematicians who are attracted to this proposition have already tried it, and it is impossible to solve this problem.

But supercoiled space algebra?

Isn't that too big?

"Okay, now that we understand the math, we can now change the Young-Mills equation like the familiar Fourier change. This step is very simple, and the variation of the original Yang-Mills equation in the supercoiled algebraic space is as follows:

[ d_\mu f^{\muu}+\alpha abla_\mu(\beta f^{\muu})= j^u ]。 ”

……

The math gurus in the audience watched the derivation process on the big screen blankly.

Many of them seem to have regained the feeling they used to feel when they were in school.

The only problem is that the vast majority of people have passed the age of learning, and their ability to accept new knowledge has obviously declined, and Qiao Ze on the stage has no idea of taking care of these old people at all, not only is he writing quickly, but he is too lazy to add more words about what can be said in one sentence.

As for many of the students attending today's meeting, their brains are still very young and should be able to keep up with the rhythm, but the problem is that the knowledge reserve is seriously insufficient.

Although supercoiled space algebra is a completely new algebraic field, this algebraic field is based on the previous knowledge of algebraic geometry.

It is also difficult to understand these so-called "simple concepts" in supercoil space algebra without an in-depth understanding of the disciplines such as Hibbert space, Hamiltonian describing systems in quantum mechanics, topological state of matter, topological insulators, etc.

Especially for ultra-high-dimensional calculations, high-order multiplication operations in supercoiled space algebra are extremely abstract.

Unfortunately, Qiao Ze may be a very good scholar, but he is clearly not a competent professor, and he doesn't even care if the crowd in the audience understands what he is saying.

"Next are the important formulas for algebra in supercoiled space, the first is the Taylor expansion of the supercoil derivative, we assume that (d) is the supercoil derivative operation in the supercoil algebra space, then for any smooth function (f), the Taylor expansion of the supercoil derivative can be written as:

[ f(x +\delta x)= f(x)+ df(x)\delta x +\frac{1}{2} d^2f(x)(\delta x)^2 +\ldots ]

Here (d^2) denotes the second order of the supercoiled derivative. From this, we can calculate the supercoiled expansion of the exit strong tensor:

Consider the gauge field (a^\mu) in the algebraic space of the supercoil, whose field strength tensor is (f^{\muu} = d^\mu a^u - d^u a^\mu). Then the supercoiled expansion of the field strength tensor can be expressed as:

[ f^{\muu}(x)= f^{\muu}_0(x)+ d f^{\muu}_0(x)\delta x +\frac{1}{2} d^2 f^{\muu}_0(x)(\delta x)^2 +\ldots ]

Here, (f^{\muu}_0) is the initial field strength tensor of the gauge field. This is followed by the curvature tensor expansion of the supercoiled space, considering the curvature tensor (r) of the supercoiled algebraic space, which can be expressed as an exchanger of the supercoiled derivative. Then the expansion of the curvature tensor can be written as:

[ r(x)= r_0(x)+ dr_0(x)\delta x +\frac{1}{2} d^2r_0(x)(\delta x)^2 +\ldots ]

The point is that (r_0) is the initial curvature tensor of the supercoiled algebraic space, and the next step is to perform differential operations on the supercoiled field according to these formulas, so as to obtain this result:

[ df(x)=\lim_{\delta x o 0}\frac{f(x +\delta x)- f(x)}{\delta x}]……”

Whew......

As Qiao Ze quickly wrote a series of unfolding formulas on the blackboard, the audience finally became quiet.

"Oh God...... I'm protesting! Can't we just talk slower? ”

When the first person started to scream suddenly, it immediately attracted a lot of echoes.

"No, it's not a matter of fast or slow at all! In order for people to understand this new mathematical system, they should not directly use such difficult examples! It should go from easy to hard! ”

"yes, why not start with a few simple examples? Why just analyze the Yang-Mills equation? Why can't you start with a univariate nonlinear equation? ”

Some people roared directly in disregard of the rules, and some people took the opportunity to start whispering.

"Daniel, do you understand?"

"I don't think this kind of report would be fair to people of our age!"

"Okay, then...... Edward? ”

"There's a fine line between what you know and what you don't know about math, and my advice is to film the process first."

Admittedly, this answer was rigorous.

"No, I'll ask the organizing committee for a video, I'm sure it's not difficult."

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"Hi Peter, you're the youngest ...... among us"

"Hmm...... It seems that I understand something, and it is recommended to start with the spatial characteristics to understand what he said. ”

"Alright! But I think the most important thing is the result! These only make sense if the results are correct! ”

"I seem to have a bit of a feeling about this, and it seems to be the right thing!"

"Oh? Whew......"

Later, a group of professors in Huaxia were also in the discussion stage at this time.

"Lao Zhang, I don't think we should come!"

"Huh."

"Yes, when I went back, someone asked us what we got from this time, and I was embarrassed to speak."

"Indeed...... It's a bit excessive. ”

"It's good that I'm not studying PDE."

"I'm sorry, but this is actually out of the PDE category, at least out of the PDE category that is being studied now."

Later, people who had been quiet and did not dare to speak were also active at this time.

"Whew...... Do you understand even a little bit? ”

"Well, you mean the new algebraic form? At least I know that he solved this problem by using a method called supercoiled space algebra. ”

"Poof...... What about other than that? ”

"Don't ask me, this math is not the same as what I've learned before."

As for the students......

"Well, we're actually learning fake math, right?"

"Don't be so presumptuous, listen to the roars of the big guys in front of you! I suspect they don't understand it either. ”

"No doubt! Isn't that something obvious?! ”

"Haha, it turns out that today we enjoyed the same treatment as the big guy! The Taylor formula can still be pushed like this, and although I don't understand it at all, it feels like it makes sense! It's just not aesthetic at all. ”

"No, what are you having fun with? Qiao Ze is only a sophomore this year! Speaking of which, we were a year ahead of him! ”

"Please don't open any pot without mentioning it!"

……

Principal Chen in the front row couldn't sit still.

From the time Qiao Ze directly announced the general solution formula, he didn't expect to understand what Qiao Ze was talking about.

But what the hell is the sudden collapse of discipline in the venue?

Everyone is a person with a face, they are all intellectuals, how can they suddenly scream in the middle of the report meeting?

Just when Chen Yuanzhi was still thinking about how to get this report back on track, Qiao Ze had already turned around and began to face the audience, the young face, three points serious, three points incomprehensible, three points annoyed and one point annoyed......

"Everybody......

The audience gradually fell silent.

"This is only the most basic expansion of the supercoil, and it is far from the most difficult part of solving the Yang-Mills equation, and if you don't understand it all here, I suggest you just leave.

I've always disliked stupid people, but stupidity here doesn't specifically mean that I don't have enough IQ. So please don't make a fuss, there will be half an hour of Q&A time in today's report, I don't understand it now, please don't disturb those scholars who can understand to follow my derivation steps. ”

Hearing Qiao Ze's words, Chen Yuanzhi only felt that cold sweat was oozing from his forehead.

"Stupid?!"

Fifty percent of the scholars sitting in the front row have won the Fields Medal, another 25 percent are Nobel Prize winners, and the rest have also won various other international awards, or the editors of top international journals are all internationally recognized as the most influential group of scholars.

Not to mention that there are many Chinese academicians and bigwigs present today.

Qiao Ze's words can at least offend 90% of them, right?

After all, judging from the reaction in the front row just now, there really aren't many people who can understand and follow Qiao Ze's arguments.

However, before Chen Yuanzhi racked his brains to come up with a way to play the round, Qiao Ze felt that the audience had quieted down, and he turned his head with satisfaction to continue his deduction.

"Okay, now that we're done, let's do the first difficult analysis, deriving the field equations for supercoiled spaces. Then it can be brought into the Yang-Mills equation to solve. First we need to construct a Lagrangian density, note that we need to take into account the nonlinear term of its field strength tensor, which gives us:

[\mathcal{l}=-\frac{1}{4} f^{\muu}f_{\muu}+ext{nonlinear term}(a^\mu)]......"

Principal Chen sighed......

Fortunately, there was no farce of the front-row bigwigs leaving the venue one after another!

And the discipline of the venue seems to have gotten better, but many people silently took out their mobile phones.

All right......

Either way, today should be a successful presentation.

What Principal Chen didn't know was that Xu Dajiang, who was standing in the distance at this time, was already stunned after Qiao Ze said those words!

He knew that today's report would definitely be exciting, but he didn't expect it to be so exciting!

Xu Dajiang was the only person in this report meeting who knew that Qiao Ze's deduced solution results had not been verified by supercomputing.

If the next day, the results are correct......

In case Qiao Ze is wrong, just rely on what he just said......

Xu Dajiang didn't dare to think about it anymore.

At this time, he only seemed to believe that Qiao Ze must be right!

Damn, I can't afford to be wrong right now!

……

Discipline in the venue has been maintained, except for the occasional whisper, but it is no longer enough to affect Qiao Ze's board and deduction on the stage.

But soon another problem was placed in front of Xu Dajiang.

José's report will time out!

Originally, the morning report meeting was scheduled to start at 9 a.m. and end at 11 a.m.

Then the vast majority of people go directly to the lobby arranged by the hotel to eat the buffet.

In addition, 10 private rooms were booked to entertain some distinguished guests.

But it's half past eleven now.

Yu Chenggong had already made two calls to ask if the food was served.

Yes, this contact with the hotel is Yu Chenggong's responsibility.

But the blackboard used for writing here was already full of five, and Qiao Ze had no intention of stopping.

This Nima ......

Xu Dajiang felt that his mouth was about to bubble again......

There was no way, he simply bent over, walked to Principal Chen's side, leaned over and whispered: "Principal Chen, look, it's time to eat, what should I do?" ”

"This ...... yes, it's time for dinner. Chen Yuanzhi didn't expect this situation to happen, and subconsciously glanced at Yang Lao beside him, but he actually looked at Li Jiangao beside Yang Lao.

"Hey...... It's the same if you're in no hurry, it's the same if you eat later. It's always hard to disturb the child at this time. Elder Yang heard the words of Chen Yuanzhi beside him, turned his head sideways and said with a smile.

"Oh, that's fine. You tell the hotel to wait for us to inform you of the food. Chen Yuanzhi immediately said to Xu Dajiang.

"That's fine." Xu Dajiang nodded, and then prepared to go out and call Yu Chenggong.

is full of entanglements in his heart, blame him, Qiao Ze should tell him the time before he comes to power.

What he didn't know was that Qiao Ze actually knew the time all along.

didn't stop, it was nothing more than because of the commotion just now, which made him too lazy to divide today's board book process into the afternoon.

Speed up a little, finish the lecture in the morning, answer some questions in the afternoon, and the time for his report will pass.

Finally, by one o'clock in the afternoon, José had filled eight blackboards.

“…… The next step is the most important step, we have found the general solution in the supercoil space, and after the transformation, we can get the general solution of the Yang-Mills equation, but in this step, there is a place that is easy to make mistakes, and you must pay attention to it.

That is, (g(x-y)) is the Green's function in four-dimensional space-time, which is used to describe the propagation of the Yang-Mills equation. In other words, we construct a gauge field by convolution of Green's functions and external source terms. Therefore, in the process of solution transformation, more complex mathematical structures and mathematical principles must be considered. ”

Finally, José finally wrote on the blackboard again the general solution that had just been projected onto the big screen.

Then he put down the pen in his hand and faced the audience again.

That's it for the whole Yang-Mills equation. We solved the problem by introducing supercoiled space algebra and manipulating fields. This approach allows us to open up a mathematical way of special band structures.

The next step I'm going to do is to use this complete set of tools to prove the mass gap problem and try to explain mathematically the formation of mass gaps in matter. I welcome any scholar who understands today's proof process to join in this work.

Okay, now it's time for lunch, and you can think about what else you have to ask. Given that this is a new form of algebra, I'm sure there may be a lot of questions. Therefore, the Q&A time in the afternoon was extended by one hour. ”

After saying that, Qiao Ze bent down slightly, and then turned around and walked towards the back of the field.

It was at this time that everyone in the front row sighed......

The back row let out a long sigh......

……

", wake up, let's eat! Why are you asleep? ”

"Uh...... It's over? ”

"Well, it's over!"

"Whew...... Damn, I'm never going to Joze's report again, I'm a dog again! ”

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