A genius? I just love studying.

Chapter 180: Has Yang-Mills' equation been proven? (Second update)
Schultz and Terence Tao also came out of the lecture hall and met Chen Hui in person. After talking with him, they realized that they never thought Chen Hui was the plagiarist from the beginning. They just didn't expect Chen Hui to be able to prove himself so cleanly and efficiently, which is not an easy thing in academia.

The two youngest Fields Medal winners in the mathematics world today seem to see their younger selves in that little guy.

"I originally had the opportunity to take him on as a student!"

Schultz looked at Chen Hui, who was walking towards the Palace Hotel in New York, sighed, and suddenly felt a pang of regret. He thought that with his current achievements and reputation in the mathematics world, if he had paid more attention to Chen Hui at the IMO award ceremony, Chen Hui might already be his student.

Terence Tao was much more nonchalant: "Isn't it even more exciting to have such a brilliant mathematician as a friend and rival?"

"Just like you and me, this world would be so boring without you!"

“If he really became your student, he wouldn’t have this kind of fun.”

"Tao, you're right!"

Schultz chuckled. "I really look forward to seeing what surprises this little guy will bring us next time he appears at a meeting."

"His report hasn't even started yet, has it?"

"Maybe this time!"

Terence Tao said with a meaningful smile.

Schultz shook his head slightly. "His paper is indeed very interesting, but it is missing too much. If you want to predict material properties through mathematical models, one paper is not enough."

"What if we use a quantum computer to verify his model?"

Tao Zhexuan muttered to himself, "Human power has its limits, but the computing power of computers is theoretically limitless. By running models on computers, we can obtain countless usable material structures, and then select useful structures to verify through experiments..."

It's only natural that he and Schultz were both advocates and promoters of introducing computers into mathematical proofs.

"Great minds think alike, which is why I came here!"

Schultz looked at Terence Tao with a sense of mutual respect.

Yes, their trip here was not entirely for the proof of the Langlands program and the Yang-Mills equation.

They had already seen the proof of the Langlands program and could basically conclude that the paper was without problems. Even if they were interested in the details, they probably didn't need to leave their families to make this trip at Christmas.

As for the proof of the existence of the Yang-Mills equation, they did not quite agree with it. Although they had not yet found the problem, they sensed a flaw in the proof process based on their mathematicians' intuition, and naturally they would not make a special trip for it.

Perhaps they themselves didn't even realize that they came here more for a little guy's insignificant 30-minute report.

That paper may not be of much value now, but they saw its enormous potential.

……

In the editorial department of Heiyuan Rural Newspaper, Zhang Kaimeng, as usual, browsed the latest news on foreign websites.

Soon, a piece of news from the academic community caught his attention.
[Breaking News! Plagiarism Case Takes a Twist: Chinese Student Leaves Fatal Trap in Paper]

[Shocking! Even graduate students make this mistake when copying assignments...]

[Advanced techniques for preventing plagiarism: Learn from this amazing young Chinese man]

[Plagiarism Proof: European Mathematical Society Conference, Two Amazing Lemmas]

Seeing these sensational news headlines, Zhang Kaimeng curled his lip. The moon in the West isn't necessarily rounder. If translated into Chinese, these news stories would be just as sensational as those from UC Shocking News.

Unlike Lanfang Metropolitan Daily, he prefers to carry news that promotes positive energy and aligns with the values ​​and interests of the Chinese people.

This may be the reason why their newspaper business has survived to this day. Of course, it is also the reason why their company has always been half-dead. Without stirring up conflicts and confrontations, where would the traffic come from?

The recent media earthquake affected almost 80% of media outlets, including print media, programs, new media, and even many online influencers. Some were forced to suspend operations for rectification, while others were completely eradicated. Today, the Chinese media industry is reduced to just a handful of these few.

The entire Chinese internet environment has been cleaned up, but drawbacks have also become apparent.

The fact that no one was sent to report on the Philippine Prize frontrunner's trip to the European Mathematical Society meeting speaks volumes about the current state of China's media industry.

Their Black Round Rural Newspaper is just a small media outlet, so naturally they don't have the capability to send reporters to the scene. They can only rely on reposting news from foreign websites or conducting secondary reporting.

However, the message Zhang Kaimeng saw was not about the winner of the Philippine Prize, but about Chen Hui, a student of Yuan Xinyi.

The plagiarism scandal was quite a hot topic in both the East and the West a while ago, and as a journalist, he witnessed the scandal firsthand.

He originally thought this matter would end up like the previous plagiarism scandals, but unexpectedly Chen Hui made a brilliant comeback at the European Mathematical Society meeting.

As a Chinese, Zhang Kaimeng felt a sense of pride and triumph!

Without hesitation, Zhang Kaimeng began collecting information from authoritative Western media outlets and interviewing familiar media professionals who had experienced the events firsthand, trying his best to reconstruct the true situation at the time. Three hours later, he began writing a report based on the information he had gathered.

……

[Great news! Chinese scholars have thwarted the American conspiracy at the European Mathematical Association]

Chinese mathematicians have proven the Langlands program, receiving unanimous praise from international peers and potentially slated for the Philippians Prize.

[Great teachers produce outstanding students; the truth behind the plagiarism scandal comes to light]

Following Zhang Kaimeng's report, the few remaining media outlets in China followed suit. Although they were still eager, their reports were already leaning towards a positive tone, which shows that the recent purge had been very effective.

However, netizens did not feel the impact of that major storm. Many people remained skeptical of these reports, and some even believed that the fact that no major media outlets had reported on them meant that they were all fake news.

What they don't know is that all the major media outlets they consider to be major have been swept into the dustbin of history and will never have the chance to report on them again.

However, after Jiangcheng University issued an official announcement, these debates turned into a one-sided celebration.

[The plagiarism controversy has come to an end. Our student Chen Hui completed his self-proof at the European Mathematical Society meeting. Please watch the video.]

The media industry has been severely impacted, and Jiangcheng University also has its own publicity department. This time, Yuan Xinyi went to report on the proof of the Langlands Program, which is a world-class, award-winning achievement. How could Jiangcheng University not send publicity personnel to the scene to follow up?

They naturally filmed the entire process of Chen Hui answering Franklin, and not only them, but most Western media outlets did as well. With pictures and videos of the entire event, plus multiple corroborating evidence, even the most stubborn and brainwashed person would have no way to refute it now.

"666, Master Chen is awesome (voice cracks)"

"I want to have your babies!"

"It's normal to include a lemma in a paper that seems obvious but isn't. Many mathematicians do this, like Gauss and Euler... But to include a wrong lemma in a paper and not affect the conclusion is truly unheard of. Is he really a genius?"

"Wake up, he published in a mathematics journal at the age of sixteen. Is he a genius or not?"

"Chen Hui is in our class. I could tell he was no ordinary person when he enrolled!"

"I can tell you're a goofball even through the internet cable..."

The comment section of Jiangcheng University's official account was filled with a joyful atmosphere, surprisingly free of the usual hostile arguments.

After a thorough cleaning, the demonic aura was completely eradicated.

The media has a responsibility to guide the public because, relatively speaking, they have more inside information, a broader perspective, and are able to see more of the truth.

Unfortunately, in the past, they recklessly stirred up conflict and took sides in order to gain traffic, turning the internet into a mess.

They did provide guidance, but not in the right direction.

Just as everyone was having a heated discussion, a Weibo post suddenly went viral and became a trending topic.

The poster, Chen Guangjun, is a verified red V user. His profile identifies him as a student at Jiangcheng University. The Weibo post contained a photo of a Christmas Eve party in a luxurious palace. Users familiar with the area immediately recognized the palace as the New York Palace Hotel in Budapest, which was also the official accommodation provided by the European Mathematical Society for this event.

Such an ambiguous username, coupled with the Jiangcheng University student in the bio, the strongly suggestive photo, and the caption "Christmas in Budapest, a beautiful night that marks the beginning of the counterattack"—all these elements combine to create a compelling narrative.

This makes everyone's imagination run wild.

Many people believe that this person is Chen Hui himself, and so they left comments below.

"Caught a pro! Front row for a group photo!"

"Please step back, I'm handsome, let me go first."

"Are you there? Could you lend me a paper? Don't make me beg you."

"Could someone please share some tips on getting SCI papers published in Q1 journals? I really want to graduate."

"Come on, look here, expert! Look at the camera! Is the watermelon sweet?... Click!"

"God, please check my private messages. I've come up with a brilliant method to prove the Yang-Mills equation. I've sent it to you via private message. Please reply when you see it."

Many people vaguely felt that this was not Chen Hui himself, but since so many people were making jokes in the comments section, they happily joined in. As a result, a strange scene occurred: the Weibo of an ordinary person was directly pushed to the top of the trending searches.

This user of Chen Guangjun's also saw his followers jump from dozens to over 100,000 in an instant.

On Weibo's backend, Jing Xin from the operations department looked at the backend data of user Chen Guangjun and sighed with regret.

It's just an account that's not even a high-quality fake account, yet it gained over 100,000 followers just from this Dongfeng event. If Chen Hui had listened to his advice and registered an account on Weibo, he could have gained an account just by posting one Weibo message.

What a great opportunity! So many internet celebrities would kill for it, and that guy didn't even appreciate it.

what a shame!

……

Chen Hui was unaware of the online frenzy in both the East and West. He had already returned to his hotel, where a newly printed paper lay on the table: "Global Existence and Regularity of Four-Dimensional Non-Abel Young-Mills Equations: A Rigorous Proof Based on Gauge Fixation and Nonlinear Compression Analysis".

These days he has been busy studying the Yang-Mills equation. The feeling of being just one step away from success is so wonderful that he has no time to think about anything else. He didn't even notice that there was a report on the existence proof of Yang-Mills equation in the conference he was attending.

Someone has already proven the existence of the Yang-Mills equation!
Chen Hui was quite surprised when he first saw the title.

This won't make all his efforts over the past few days go to waste, but it will at least significantly reduce the value of his results.

Upon seeing the presenter at the conference, Chen Hui immediately put down everything he was doing and printed out the paper.

This paper addresses the existence and regularity challenges of solutions to non-Abel Young-Mills equations in four-dimensional Euclidean space, proposing a novel proof framework based on generalized gauge fixation and nonlinear functional analysis. By introducing a weighted Sobolev space H2,δ(R4,g) and constructing generalized Coulomb gauge conditions, we transform the nonlinear Young-Mills equations into a class of enforced elliptic equations. Using the improved Nash-Moser implicit function theorem and Banach fixed-point theorem, we prove the existence of locally unique solutions under low-energy conditions. Furthermore, through Uhlenbeck-type compactness theorems and analytic continuation techniques, we globally generalize the results to physical Minkowski spacetime. Finally, using the Osterwalder-Schrader axiomatic field theory method, we verify the unitarity and physical observability of the obtained solutions…

When Chen Hui first saw the title, he approached the paper with a critical eye, but after reading the abstract, his expression became serious.

He has been studying the Yang-Mills equation for some time now, and after a brief reflection, the method presented in the abstract of this paper seems to offer real hope for solving this problem.

Calming his mind, Chen Hui cast aside all distractions and began to seriously study the paper.

Three hours later, Chen Hui turned to the last page of the paper. After studying so many papers, he could read them very quickly.

The proof steps in this paper are not complicated. First, in four-dimensional space, the Hilbert space is constructed using the generalized Coulomb gauge μAμa=fa(x). Then, the Yang-Mills equation is decomposed, and the Yang-Mills equation DμFμνa=0 is rewritten as ΔAνa=Qa(A,A)+lower-order terms.

Then, the improved Uhlenbeck theorem is cited: "Any connection that satisfies ∥F∥L2< can be localized into a small solution of H2 by a gauge transformation". By covering the countable open set of R4, the local solution is glued into a global solution using the unit decomposition.

Substituting the solution back into the original equation, we get the nonlinear term Q(A)∈Hk, δA∈Hk+2, δ. By induction, we obtain A∈C∞.

Then, using the Schwinger function of Euclidean field theory, a Wightman field satisfying the positive definiteness of reflection is constructed, and the Minkowski spacetime solution is obtained through analytical continuation.

Finally, by constraining the Hilbert space using the Gupta-Bleuler method, non-physically polarizable states are excluded, and a physical solution satisfying unitarity is obtained!
The paper's ideas flowed very naturally and smoothly, written in one go, leaving Chen Hui somewhat bewildered.

Perhaps, he really is right?
For a moment, Chen Hui was somewhat confused. Now that the existence problem of the Yang-Mills equation had been solved, should his research continue?

"No, something feels off!"

Chen Hui stared at the paper in front of him. His mathematician's intuition told him that something was wrong with the paper, but he couldn't quite put his finger on it.

With that in mind, Chen Hui once again buried himself in this paper, and this time, he picked up his pen.

(End of this chapter)