In the Great Hall, thunderous applause rose like a tide and gradually receded like a tide.

As the applause faded, Xu Chuan took a deep breath and said slowly: "The report on the solution and proof of existence of the Yang-Mills equation has been completed, and its general solution has also been verified by the supercomputing center, which is a major breakthrough for both the mathematical and physical communities. ”

"For mathematics, this means that we can understand differential equations at a deeper level, and we also gain a way to build bridges between equations, manifolds, and geometry."

"For physics, this means that we can understand the secrets of the microscopic particle world more deeply from a mathematical point of view, and even find a way to unify the three forces of strong and weak electricity."

"Of course, these are the jobs of the future, and more people need to put more effort into them."

"Okay, next is the Q&A session."

"If there are still any doubts about the proof of existence and solution of the Yang-Mills equation, I can raise them now, and I will do my best to answer them for you."

Before the words fell, in the seat in the front row of the audience, an arm was raised with lightning speed.

Xu Chuan looked over and raised his hand was the Nobel Prize winner in physics, Professor Frank Wilzek, who was also his old acquaintance.

Although I don't know what is wrong with this friend, but looking at the speed of his hand, there should be a key point that he hasn't understood, right?

As for the mistakes, Xu Chuan doesn't think today's report will be wrong.

After all, there are papers on the 'Yang-Mills Existence and Mass Gap', which have passed journal and peer review in the last life, and have been accepted by the mathematical and physical communities.

After stretching out his hand and motioning for the other party to ask a question, Professor Wilzek stood up, took the microphone from the staff next to him, and asked a question that surprised Xu Chuan and all the scholars in the audience.

"The first half of the Yang-Mills existential and mass gap puzzle has been solved by you, and I wonder if you have already got the answer to the question of the existence of the mass gap and how to explain it mathematically, which you just stopped thinking about in front of the blackboard?"

Hearing this question, there was an uproar in the Science and Technology Assembly Hall.

There was a lot of discussion.

Xu Chuan was also stunned for a moment, he didn't expect this Professor Wilzek to ask such a question.

Stunned for a moment, he came back to his senses and said with a smile: "No, what I'm thinking about is not the problem of the existence of the mass gap, but some other things." ”

Hearing this answer, Wilzek was also stunned for a moment, his guess was actually wrong? Isn't there really a problem with the existence of quality gaps?

After a pause, he asked curiously, "If it's convenient, can you tell me what you just thought about?" ”

To be honest, this question is actually a bit presumptuous, after all, there is no reason for others to think about it and tell you openly at the briefing.

But for him, it's about a thousand-meter gold bet.

Although a thousand meters of gold is not a lot for him, it is not a good thing to lose to someone else, especially for someone like him, who loves to bet.

You can't lose anything if you lose!

Xu Chuan smiled and said, "It's not an inconvenient thing, if you want to know, I can write it." ”

After a pause, he turned around and took out the blackboard brush from the blackboard basket and wiped all the equations on the blackboard on several sides.

Immediately, a piece of white chalk gently fell on the blackboard, and the lines of calculations came into everyone's eyes.

【Rν1/2gν· R = 8π· Tν.】

【Fαβ=αAββAα+[Aα， Aβ]，αFαβ+[Aα， Fαβ]= 0 】

【. 】

Under the reporting stage, Wilzek curiously watched the calculations on the blackboard appear on the screen line by line, a little unclear.

He is not a mathematician, and although he can skillfully use mathematical tools to solve the problems he encounters in physics research, he is still far from those pure mathematicians.

So much so that when Xu Chuan wrote these equations, he couldn't figure out what these were through these formulas in the first place.

But he didn't understand, and that didn't mean that no one in the audience understood.

With the increase of the calculations on the blackboard, Tao Zhexuan, who was originally half-leaning on the back of the chair, gradually sat up straight, until a line of core calculations appeared, his black-brown pupils contracted slightly, as if he had a premonition, but he couldn't believe it.

After all, if this were true, it would be amazing!

On the other side, looking at the figure writing the formula in front of the blackboard, Gerd Faltings frowned slightly, staring at the formula on it seriously.

Suddenly, a flash of lightning flashed through his heart, and a hint of surprise flashed in his brown-green eyes, staring closely at the equation.

If he'd guessed correctly, he already knew what it was.

Although differential equations are not the theory he is good at, he can still see the ideas and theories in the author's mind from those calculations.

And Xu Chuan's next move also confirmed his thoughts.

After laying out the equations on several blackboards, Xu Chuan threw the chalk in his hand into the box basket, turned to look at the audience, and said with a smile:

"The utility of symmetry is a recurring theme in quantum research, and in many cases where precise calculations can be made, they exist due to the existence of a non-strongest infinite-dimensional symmetry – the enhancement of coformal symmetry in two-dimensional conformal field theory is perhaps the most famous example of this paradigm."

"And in the formula I just wrote above, I found a supersymmetry field 3D theory that acknowledges such symmetry enhancements, and then performs an all-pure topological twist."

"Relying on the micro-element construction method, a 'very small' scalar field is set on the spatiotemporal manifold, and then the change is expressed by the two components of the canonical group U(2) × U(1) under the action of the gauge group, and the non-zero asymptotic constant of the vacuum state reduces the gauge group to a subgroup of U(1)."

"In this way, we can solve it more easily and find its general solution, and do not rely on the way of 'invariant couplings of differentiable structures set on high-dimensional manifolds'."

"This is a completely new way to solve the Yang-Mills equation, and theoretically it will be more concise and efficient than the previous method."

After a pause, Xu Chuan glanced at the audience who were already confused, and then said: "Of course, the things I wrote today are just a rough idea, and there are still many details that need to be filled. ”

"But I'll finish this job when I'm done with this briefing."

"If nothing else, this algorithm for solving the Yang-Mills equation will soon be able to meet everyone."

"As for today's presentation, it wasn't the subject of it, so at the beginning, I didn't list it."

Below the stage, a brief silence was followed by a look of disbelief.

The audience in the auditorium looked at each other, and the sound of commotion spread like a tidal wave from the center to the surroundings.

The second way to solve the 'Yang-Mills equation'!

How can it be? How is this possible?

How could anyone have completely conceived another solution in such a short period of time, this is the Yang-Mills equation, which is not a first-order partial differential equation, a second-order partial differential equation that can be done by high school students.

Even Edward Witten, as Xu Chuan's mentor, would be a little shocked.

Looking at the blackboards on the lecture table, which were full of calculations, he couldn't help but swallow and poked G. Faltins and Pierre Deligne on the side with his hand, respectively.

"Is that right? Is there a second solution to the Yang-Mills equation? ”

Deligne stared at the equations on the blackboard for a moment before he said, "It's hard to imagine, but maybe he did." ”

"It's a path I've never thought of, and even though it's only a rough run, I can see the theory and method behind it."

Elsewhere, Faltins stared at the equation on the blackboard and did not speak.

However, the trace of uneasiness in his eyes revealed the thoughts in his heart.

It seems that this is not where he lost his inspiration, perhaps it was just a detour.

Although many scholars who participated in the seminar were very interested in the second method for solving the Yang-Mills equation conceived by Xu Chuan at the presentation, many people raised questions related to this new solution in the Q&A session.

But today's report is destined to disappoint them.

Although Xu Chuan doesn't mind showing the public the theories and ideas that have not yet been formed, even he has not completely made the second set of solutions now, but only made some basic things, how can he answer the questions of these scholars?

However, in any case, today's report is destined to make waves again in the fields of mathematics and physics.

Perhaps it was because the second method of solving the Yang-Mills equation attracted the attention of many participating scholars, who couldn't wait for the presenters to go back and refine it;

Or perhaps under the verification of many supercomputing centers, the correctness of the general solution was confirmed and the perfection of the paper was proved.

In short, Xu Chuan encountered far fewer problems in the question session than he imagined.

There is no need to wait until the afternoon, after the morning presentation, the presentation on the existence and proof of the solution of the Young-Mills equation has been completely concluded.

The sudden situation also caught the physics society presiding over the conference by surprise.

After all, they had planned for the whole day of the meeting, so that the originally scheduled meeting process would be completely disrupted, and they had to make temporary adjustments to bring forward the exchange report that would be held tomorrow to the afternoon.

At the end of the briefing, Xu Chuan did not attend the noon banquet, he returned to the hotel, asked for a lunch and closed the door.

Although he had solved the Yang-Mills equation once, he was still fascinated when another method came to mind.

This is not the pleasure that an answer can give, but the sharp tools he has mastered on the road to explore the wilderness of science, which can help him solve the beasts that hinder the progress of human civilization;

Or in the darkness of chaos, the light of a lighthouse that leads into the distance.

After all, there is nothing more desirable for a scholar than the search for the truths of the world.

Especially when you find that you can do it all over again from a different angle.

At the same time, after the scholars who came to participate in the exchange meeting posted the relevant news and the photos and videos they took on the Internet, it was not surprising that the Internet exploded again.

【? The second solution of the Yang-Mills equation? 】

[Whose subordinate is this person?] It's so brave! 】

[Damn, I can actually find a second way to solve the Yang-Mills equation, which is a little too β, right?] 】

[Seriously doubt that he has a quantum computer brain, it is recommended to dissect it to see!] (Manual Dog Head)】

[Urine test!] This must be a urine test! (。 )ノ】

[Isn't it another solution?] Is it worth your praise? 】

【？？？？ These are the seven millennial problems, conjectures at the pinnacle of the human mind, not something that you can hit nails with a hammer and find that a steel hammer can also hit nails. 】

[I think he probably doesn't even know what the Yang-Mills equation is, and he doesn't even know how to read the formula that Baidu came out of.] 】

[Shocked me, I thought he could solve the quality gap problem at the report meeting! ] 】

[According to the speed of the old man Kawajin, it is estimated that the quality gap will not last long. 】

It is not only the Internet that has sparked heated discussions, but also the site of the high-energy physics exchange conference that is being held.

In the evening, in the spacious banquet hall of the Science and Technology Hall, many mathematicians and physicists from all over the world walked through the hall with champagne, looking for their goals to talk or communicate.

Of course, the delicacies on the table with both Chinese and Western characteristics also made many scholars linger.

Although the number of participants in the afternoon presentations and presentations was much lower than in the morning, not many mathematicians or physicists left today.

Originally, many people were going to leave after attending the presentation of the Yang-Mills equation, but now, many people are attracted to the second solution and are ready to stay and see.

In the ballroom, Witten held a glass of champagne and gathered with several math professors to discuss the second solution that emerged from the morning presentation.

The reason why he is a professor of mathematics is mainly because most physicists are definitely not as good as mathematicians in mathematics, even a top physicist like him who has won the Fields Medal, he has to admit this.

In the crowd, Tao Zhexuan looked around the banquet hall with a glass of champagne, and he didn't see the familiar figure in the crowd.

Originally, he still wanted to have a good chat with Xu Chuan about the second solution at the dinner, but now it seems that he may have to wait a while to see his people.

But if you think about it from another perspective, this is also normal, if it were him, he would probably choose to make the paper first.

It's just that I don't know how long I have to wait.

After thinking for a moment, he looked at Witten and Deligne, and asked, "Speaking of which, when will he come out?" ”

These two are the mentors of that person, and I think I should know more about them.

After thinking for a while, Witten said: "It shouldn't take too long, and it shouldn't be difficult for him to sort it out when he already has a complete idea." ”

After a pause, he added: "The last time he solved the framework problem of a strongly correlated electronic system, if I remember correctly, it took less than five days. ”

"Five days?"

Tao Zhexuan glanced at Witten with some surprise, although he didn't know much about the strongly correlated electronic system, but this time was a little too short for a top-notch world-class problem, even if he had an idea.

Witten nodded and said, "That's right, for him, that should be enough." ”

(End of chapter)