A genius? I just love studying.

Chapter 183 It’s rude to come and not return.

Tian Yang, Qiu Chengwu, and Yuan Xinyi did not attend the report meeting.

Checking their emails after waking up has become a habit for them. For scholars, email is their primary means of communication, and due to time differences, checking emails regularly is essential.

Without a doubt, they all saw Chen Hui's paper.

Upon seeing this paper, all three instinctively wanted to find Chen Hui and discuss it in person.

But Chen Hui was sleeping at that time and did not see the three messages.

After a cursory reading of the paper, Tian Yang immediately called the Yanbei International Mathematical Research Center and requested the supercomputer to perform verification using the method given in Chen Hui's paper.

This method has a very high probability of being feasible!
The three people who read the paper immediately came to this conclusion, just as they felt something was wrong immediately after reading Bryant's paper; this was the intuition of mathematicians.

"If the calculation is successful, Chen Hui might be able to win the Fields Medal the year after next based on this result!"

After finishing the call and arranging the verification, Tian Yang looked at Yuan Xinyi with amazement in his eyes, "Who knows, you two might be able to stand on the Fields Medal stage together someday!"

Such a wonderful story has never happened before.

Smail, Friedman, and Perelman all received the Fields Medal for their work on the Poincaré conjecture in five dimensions and above, four-dimensional manifolds, and finally three dimensions. Therefore, there is no reason why Chen Hui, who proved the existence of the Yang-Mills equation, should not receive the Fields Medal.

He himself failed to win the Fields Medal, or even any of the three major mathematics awards, but he was still proud to have mentored two such outstanding students and grand-students.

But the little guy's growth rate is just too astonishing.

Just a few days ago, he had only completed the initial dimensionality reduction of the equations, and now, in less than half a month, he has completely solved the existence problem of the Yang-Mills equations?
Even counting from when Chen Hui started his thesis, it has only been less than three months.

Three months to solve a millennium problem.

Of course, even if the verification is successful, Chen Hui has only solved half of the problem. The mass gap problem in the Yang-Mills equation remains unresolved.

But that's amazing enough!
If Chen Hui were given more time, he might be able to solve the quality gap problem.

What's even more terrifying is that he's only seventeen years old; he has an endless amount of time to spare!
"I underestimated this kid's talent!"

Inside the room, Qiu Chengwu, who had also arranged for the supercomputer verification, said to Yun Wei, "Why didn't such a promising talent appear at Tsinghua University?"

"Are you still going to the presentation this afternoon?"

Yun Wei was also somewhat disappointed. He watched as his peer Yuan Xinyi surpassed him. He could accept that there was a sequence to learning, but he never expected that a little guy would also surpass him in the blink of an eye.

"I'm not going. What's the point of watching a paper that's destined to have problems?"

Qiu Chengwu sat down on the sofa, full of confidence in Chen Hui.

Tian Yang and Yuan Xinyi were in the same boat, anxiously waiting in their room for the supercomputer to be verified. They had no interest in listening to any reports or presentations.

On the contrary, Chen Hui, as the author of the paper, sat relaxed in the lecture hall, watching Bryant speak eloquently on the stage.

"Finally, using the Schwinger function of Euclidean field theory, we construct a Wightman field that satisfies the positive definiteness of reflection. We obtain the Minkowski spacetime solution through analytical continuation, and then constrain the Hilbert space using the Gupta-Bleuler method to exclude non-physically polarizable states. Thus, we obtain a physical solution that satisfies unitarity, and the existence of the solution to the Yang-Mills equation is proven!"

The one-hour presentation flew by. Bryant delivered his entire presentation in one go, leaving only five minutes for questions from the audience.

This was supposed to be impolite, but no one complained. The report was refreshing and even felt too short for them.

The bigwigs in the front row, however, still had furrowed brows. After listening to the report, their doubts had not lessened but had increased, yet they couldn't quite put their finger on what was wrong.

"If you have any questions or don't understand something, feel free to ask me anytime."

Bryant looked at the quiet auditorium, feeling relieved but also a little smug. This proof had taken their team nearly three years to complete, so naturally there couldn't be any flaws.

Bond, sitting in the audience, breathed a sigh of relief. He believed that after this presentation, their findings would quickly be put on the historical stage.

Bryant lived up to his expectations and completed the task very well.

"Hello, I have a question."

At this point, someone finally stood up and asked, "What is the basis for your use of the Coulomb gauge?"

The one who stood up was a young man. He had been offline for a long time, but he was not discouraged. He figured that if he could figure out the parts he didn't understand at the beginning, he could take another step forward. If he kept moving forward like this, he would eventually reach the end.

"Here we have made some modifications to the Nash-Moser implicit function theorem."

Bryant was well-prepared, picking up a marker and scribbling on the whiteboard. "According to this modified theorem, we can find that in infinite-dimensional Frétchet space, gauge conditions can uniquely determine the connection Aμa..."

"Is there something wrong with this modified theorem?"

Schultz keenly sensed something was wrong, but unfortunately he didn't have paper and pen in hand to do any deductions.

Terence Tao also frowned.

Woohoo!

Just as the two were about to delve deeper, Schultz's phone rang.

"Preliminary verification successful!"

"We have found a solution to the Yang-Mills equation!"

"I have never seen such beautiful symbols!"

The assistant's excited voice came through the receiver.

Schultz was lost in thought for a moment, then said, "Send me the verification results so I can take a look."

Soon, he received an email from his assistant and began to study it carefully.

By this time, Bryant on stage had finished answering the previous question, and five minutes had passed. "If you have any further questions, please feel free to come and talk to me anytime. If you are interested in the Yang-Mills equation, you can also submit your resume to our team."

"The existence problem of the Yang-Mills equation has been solved, but there are still many other interesting topics related to the Yang-Mills equation waiting for us to study."

Bryant chuckled easily, not forgetting to promote his team and announce their ambitions to the mathematicians present. He was already planning how to arrange the evening's reception.

As the report meeting was about to end, scattered applause could be heard in the auditorium.

At this moment, Chen Hui finally stood up.

Upon seeing the figure suddenly stand up, Bryant's smile froze, and even with his composure, he couldn't help but feel embarrassed.

Bourguignon was having a bit of a headache; clearly, the two guests were at odds with each other at their own meeting.

"I have a question too."

Chen Hui began, “Based on the conclusions of the paper, let’s assume we construct a non-zero instantaneous number, such as Q = 32π21∫Tr(F∧F) = 1, and substitute it into the original proof. What if it satisfies the global solvability condition of the generalized Coulomb gauge?”

Many people in the conference hall looked at Chen Hui with puzzlement, wondering what he was talking about. The bigwigs in the front row had already frowned and begun to verify it through mental arithmetic.

Bryant's face turned slightly pale on the stage.

As we all know, proving a lemma is very difficult, but proving a lemma is false only requires finding a counterexample, which is much simpler.

Of course, the process of constructing counterexamples is not so simple either.

"Could it be that that kid actually found a counterexample?"

Bryant didn't believe it. He picked up a marker and began to do calculations on the whiteboard next to him.

Bond, sitting in the audience, frowned deeply. He had been feeling uneasy these past few days, and at this moment, all his unease materialized into the formula Chen Hui had spoken of, stabbing at him like a sharp blade.

Calculate the divergence of the instantaneous solution based on the conditions in the "proof"...

Bryant was very familiar with this proof, and the entire calculation process was incredibly fast. Soon, he substituted the result into the global integral to verify it, and finally obtained ∫fa(x)d4x=8π2Q=0!

pat!

The marker fell onto the stage with a crisp sound.

The "perfect proof" in the paper is like a magnificent Gothic cathedral, its spire pointing straight to the heaven of the four-dimensional non-Abelian gauge field. However, when the verifier, holding a topological candlestick and an energy ruler, stepped into the cathedral's cellar, he discovered an unusual glimmer of light seeping from the cracks—the whispers of instantaneous ghosts.

The bigwigs in the front row finally relaxed their brows.

They finally realized what was wrong.

Bryant's proof mixes authoritative theories such as Nash-Moser, Uhlenbeck, and Osterwalder-Schrader to create the illusion of logical coherence. Each step holds under specific constraints, such as no topological charge and three-dimensional space, but fails when generalized to four-dimensional non-Abelian fields. Compressibility holds only within the range of "small solutions," and the proof does not explicitly declare global constraints on the solutions...

This series of disguises fooled even these veterans of the mathematics world, who were almost misled and failed to find the flaws. They only sensed something was amiss based on their years of mathematical intuition.

This made them involuntarily look at the little guy standing in the middle of the lecture hall.

So young!
This was their first reaction when they looked at Chen Hui.

What a keen insight!
He was born to excel in mathematics!
After they realized something was wrong with Bryant's paper, they spent some time researching it, but ultimately came up empty-handed. Unexpectedly, a little guy found the flaw in it. Even though they didn't put all their effort into finding the problem, it was enough to show how excellent this little guy was.

"It's him?"

Fefferman recognized Chen Hui; wasn't this the little guy that Witten had his eye on?

"It can only be him!"

Aranconne marveled, a mix of emotions swirling within him, as he recalled the little fellow who had inadvertently wandered into his classroom on the lawn that day.

Unfortunately, the two were never destined to be master and disciple.

"Who is he?"

Faltins and Deligne, who were standing nearby, asked curiously.

"He's giving a presentation tomorrow, then you should be able to meet him!"

Fefferman didn't say much.

"Report!"

Faltings and the other man's pupils contracted slightly.

How old is that little guy?
So you're qualified to give a presentation at a conference of this level?
It's no wonder they're ignorant; they've been busy with their own research these past few days, and their attention to this conference has mostly been focused on Yuan Xinyi and Bryant's findings. Given their status, it's impossible for them to pay attention to a 30-minute presentation.

"This year's IMO perfect score gold medalist!"

Alain Connie added that he was seeing more and more of Schulz and Touquet's shadow in this little guy, and that in the future, this little guy's achievements might surpass those two predecessors!
"???"

Faltings was about to unleash a torrent of abuse.

Even something as childish as the IMO is here?

"He just published a paper on condensed matter physics in the Annals of Mathematics, which is also the topic of his presentation tomorrow..."

Fortunately, at this moment, Tarragran stopped the riddler's bad taste and told him in detail about Chen Hui's academic achievements over the past few months.

Bryant stared blankly at the final calculation result on the whiteboard.

He had felt somewhat dazed and uneasy about this proof, but he thought it was just a normal reaction after suddenly achieving great success. It wasn't until this moment that he realized it was his body's instinct warning him.

Mathematicians are not afraid of making mistakes. He does not feel embarrassed about being pointed out in public, but when three years of hard work come to nothing, he still can't help but feel lost.

So many hopes we once had have now all come to naught.

Cocktail parties, Fields Medals... it all seemed like a dream, a fleeting illusion.

"It's alright. Finding the problem is actually a good thing. As long as we solve it, we can get one step closer to the Yang-Mills equation!"

Bryant was also extremely determined; otherwise, he could not have copied other people's papers so easily.

He firmly believed that they would eventually be able to solve the problem, even if there were some twists and turns along the way, just like Wiles proved Fermat's Last Theorem back then!
Unfortunately, he was unaware that Chen Hui had already completed the proof of the existence of the Yang-Mills equation; he had neither the time nor the opportunity left.

Only then did the lecture hall erupt in an uproar, and the others realized what had happened.

The paper they considered perfect actually had a fatal flaw.

The existence proof of Yang Mills turned out to be just a beautiful misunderstanding.

This problem, which has plagued academia for decades, has once again been shrouded in mystery after a brief glimpse.

Perhaps when he reappears in front of everyone, it will be decades later, just like other millennial problems.

A sense of regret arose in everyone's hearts.

Although they felt something was off after reading the paper and wanted to find its flaws, they still felt regretful when the flaws actually appeared before their eyes.

After finishing these tasks, Chen Hui did not sit down again. Instead, he turned and walked out of the lecture hall. He had more important things to do and did not have time to waste here.

Schultz finally finished reading the verification results sent by his assistant. He couldn't find any problems, and his intuition told him that the proof was correct!
So, Chen Hui really completed the proof of the existence of the Yang-Mills equation?!
"If that's really the case."

Schultz looked at Faltings and the others who were leaving one after another, "Then why not let Chen Hui report on the proof of the Yang-Mills equation at this meeting?"

He acknowledged that Chen Hui's paper had great potential, but compared to the Yang-Mills equation, which had already proven its value, it could only be considered slightly less significant.

We need to change the question! We absolutely must change the question!
With this in mind, Schulz strode toward Bourguignon, the president of the European Mathematical Society.

(End of this chapter)