A genius? I just love studying.

Chapter 266 Yang-Mills-Chen Theorem

Dongguan University of Technology

Li Hai, carrying his schoolbag and holding the hand of a round-faced girl, walked briskly towards Building 6.

He got into the same university as his girlfriend, just as he had hoped.

Although Dongguan University of Technology is not a top-tier university, it has close partnerships with companies such as Huawei and OPPO, and its computer science and technology and mechanical engineering are its flagship programs, which aligns well with Li Hai's expectations.

Soon, the two arrived in front of a very modern white building. The curved glass curtain wall of Teaching Building No. 6 reflected the morning light, like an open giant book. This is the landmark of Songshan Lake Campus, and the students call it White Seashell.

At eight o'clock in the morning, the two walked into the classroom as the bell rang.

The seats at the back were already full, leaving only a few scattered seats in the first few rows. The two hurriedly walked over and sat down.

Today's class is "University Physics". After sitting down, Li Hai took out his phone and started playing. This is their first university physics class since the start of the semester, but Li Hai has already decided to just get a passing grade.

The teacher of this class was an elderly professor with gray hair and a rigorous teaching style. At this moment, he was looking at the students in the classroom with a ruddy complexion, as if he had some happy news to share with them.

"Before classes officially begin, I have some good news to share with everyone."

Professor Zhang tapped on the desk. "Students, please turn to Chapter 7 of your textbooks, Yang-Mills gauge field theory. This part is an important cornerstone of modern physics, especially particle physics and fluid mechanics."

"Of course, I'm not having you study this part right now, but rather I want you to take a good look at the table of contents for this chapter."

The sound of pages turning filled the classroom, followed by a commotion among the students, some rubbing their eyes in disbelief.

"Yang Mills-Chen Theorem?"

The textbook prominently displays the "-Chen's Theorem" after the name of that famous yet daunting equation!
"You read that right," Professor Zhang's voice rose slightly, filled with an indescribable sense of pride, and his eyes even seemed a little moist. "At the end of last semester, we just switched to the latest version of the textbook. These two new sections, as well as the change of the equation names, stem from a major breakthrough in the Chinese scientific community, and even the global scientific community, in the last hundred years!"

He put down the chalk, picked up the thermos on the podium, and took a sip of water, seemingly trying to calm himself down.

"I'm sure you've all heard about it." Professor Zhang's gaze sharpened and brightened. "Just last year, the existence and mass gap hypothesis of Yang-Mills, and the existence and smoothness of solutions to the Navier-Stokes equations, were thoroughly and perfectly proven by one of our compatriots, Professor Chen Hui, using an unprecedented, highly creative, and rigorous mathematical physics method!"

"Chen Shen is awesome!"

A low cheer rose in the classroom. They all knew that Chen Hui had solved the two Millennium Problems, but they didn't know that they were already in the textbook.

You also shifted your gaze from your phone to the textbook your girlfriend had opened beside you. The table of contents for the chapter on field theory prominently featured the "Yang-Mills-Chen Theorem".

From elementary school to university, he saw many names in his textbooks: Gauss, Euler, Lagrange, Sivac...

But he never imagined that one day he would see his deskmate's name in the textbook, which undoubtedly shocked him greatly.

"After months of rigorous review by top global experts, the International Mathematical Union and the International Centre for Theoretical Physics have officially confirmed the completeness and correctness of Researcher Chen Hui's proof!"
This is a landmark leap forward in human understanding of the fundamental laws of the universe! Its significance cannot be overstated!

Professor Zhang turned around, picked up the chalk, and wrote the names of two equations on the blackboard with a series of taps, solemnly adding "-Chen".

The Young-Mills-Chen Theorem.

Navi Stokes-Chen Theorem.

The chalk made a clear, resonant sound as it struck the blackboard, especially loud in the quiet classroom. Each "-Chen" seemed etched into the students' hearts.

“Therefore,” Professor Zhang turned around, his voice strong and authoritative, “the global mathematics and physics communities have reached a high degree of consensus that Researcher Chen Hui’s pioneering work must be permanently engraved in the annals of scientific history.”

The core theoretical framework proven by Professor Chen has been named the 'Yang-Mills-Chen Theorem' and the 'Navi-Stokes-Chen Theorem'!
This is not just about adding a name; it represents the highest and most enduring respect for those who have made contributions to science!

This is the highest recognition from the international academic community for the wisdom and contributions of Chinese scientists!

He paused, his gaze sweeping over the young, awestruck, and yearning faces below the stage. "From this day forward, in the physics or mathematics departments of any top university in the world, in any serious textbook or academic paper, when people study and cite gauge field theory describing the interactions of elementary particles and the cornerstone equations describing fluid motion, they must add this suffix—Chen!"

"This means," Professor Zhang's voice was filled with intense emotion, "that the 'University Physics' textbook you are holding now, and the textbooks you may encounter in the future, such as 'Quantum Field Theory,' 'Fluid Mechanics,' 'Differential Geometry,' and even 'Partial Differential Equations,' contain..."
The name 'Chen Hui' will stand alongside giants shining in the scientific sky—Newton, Maxwell, Einstein, Yang Zhenning, Mills, Navier-Stokes—as an indispensable core pillar in building the edifice of human knowledge!

The classroom fell into absolute silence; you could hear a pin drop.

All the students looked down at the newly added chapter titles in the textbook, which were printed with "Yang-Mills-Chen Theorem" and "Navi-Stokes-Chen Theorem," and then looked up at the name that Professor Zhang had just written on the blackboard.

An unprecedented sense of awe, pride, and longing surged in the young people's hearts.

Professor Zhang watched this scene with a satisfied and profound smile on his face. He believed that these little ones would at least be able to listen attentively in the next few classes.

He picked up the chalk and gently tapped the blackboard, drawing everyone's attention back.

"Alright, students."

Historical moments need to be remembered, but the path of science requires us to explore it in a down-to-earth manner.

Now, let's turn to Section 1.1 of the textbook and start learning from the most basic classical mechanics.

Remember, every symbol and formula we learn today leads to that magnificent scientific temple built by countless geniuses and pioneers like Researcher Chen Hui.

In the future, perhaps even among you, a new theorem will be born, bearing your names!

Li Hai ultimately didn't listen to the old professor's lecture; having realized his own goals, he was no longer swayed by persuasion.

He simply picked up his phone, took a picture of the physics textbook's table of contents, sent it to their small group chat, and tagged Chen Hui, "Wow, you're even using the textbook!"

"There probably aren't many scientists who are still alive and can be included in textbooks, right?"

Before Li Hai could even exit the chat, Liang Peixuan replied, "There are quite a lot of people like this. You really are an ignorant fool."

"..."

This was truly unexpected for Li Hai. "Then at least, Chen Hui is the youngest scientist to appear in textbooks, right?"

This time, Liang Peixuan remained silent.

"Will Chen Hui be able to come back?"

Li Hai typed a sentence in the input box, then deleted it, worried that it might have a negative impact on Chen Hui.

……

Princeton, Carnegie Lake
After finishing his 10-kilometer run, Chen Hui strolled along the lake, opened a bottle of Coca-Cola with a snap, and gulped down several mouthfuls.

"Professor Chen has made great progress!"

Just then, a burly middle-aged man, as big as a gorilla, ran past Chen Hui and gave him a thumbs up, saying, "But eat less sugar."

"Thank you, Adams."

Chen Hui responded with a smile that he runs for health, not to lose weight, and he doesn't care about the sugar content.

He had no idea how horrified Adams was at that moment.

"How long has it been? How come this little guy can run ten kilometers?" Adams wondered as he ran.

They set off from the teachers' dormitory at roughly the same time today, and for the entire ten kilometers, Chen Hui maintained a distance of several tens of seconds ahead of him, which was simply outrageous.

He has insisted on exercising every day for decades, and his running is already considered top-level among amateur enthusiasts. He can run 10 kilometers in under 45 minutes, which is only about 40 minutes for the top amateur level.

Unexpectedly, he couldn't even outrun Chen Hui.

The key is that Chen Hui went from being out of breath after five kilometers to achieving this result after ten kilometers in just over a month.

Is this guy perhaps a sports star whose talent was wasted on math?

Adams muttered to himself that Chen Hui's athletic talent was no less than his mathematical talent, and if it could be discovered earlier, he might even be able to win an Olympic gold medal.

Chen Hui was of course unaware of Adams's thoughts; otherwise, he would have agreed with them.

With data dashboards available, if he were to focus solely on sports, he would likely be no less capable than those sports stars on television.

Satisfied, he finished the last sip of his Coke, then gripped the empty can with both hands and tossed it into the nearby trash can.

The cola can traced a graceful arc and landed precisely in the trash can.

Nice!

Your athletic rating has increased from Level 2 (67%) to 68%.

Just then, a barrage of comments flashed before Chen Hui's eyes.

After more than a month of rehabilitation and without dietary restrictions, Chen Hui has gained a full ten pounds and has started to develop a muscular physique. He looks muscular when shirtless and slim when dressed, and his healthy body has returned.

It's not just about improving your skill level in sports; with a thought, you can bring up the control panel.

[Host: Chen Hui
Chinese Level 3 (32%)

Mathematics Level 5 (91%)

English Level 4 (3%)

Physics Level 4 (96%)

Chemistry Level 3 (33%)

Biology Level 2 (0%)

Physical Education Level 2 (68%)

Geography Level 2 (0%)

History Level 2 (0%)

Politics Level 5 (12%)

Through deliberate practice, his Chinese language proficiency has improved significantly. Chen Hui is aiming to obtain Level 4 free attribute points in all six subjects.

These days he has compiled the proof of the twin prime conjecture and sent it to the email address of the Journal of Mathematics. The progress on the Riemann Hypothesis is still not very encouraging, but his proficiency is still steadily increasing.

My English has also reached level 4. Indeed, the best way to learn a language is to live there for a while.

Other subjects didn't receive any special resource allocation, but their proficiency naturally increased slightly, which was better than nothing.

Politics, on the other hand, perhaps because of his environment, has been growing rapidly, which makes Chen Hui sigh once again that if he had known that humanities were so easy to learn, he would not have chosen mathematics.

I recently heard that liberal arts students can graduate with a master's degree simply by writing a piece of garbage riddled with typos and pure fabrication. Compared to that, mathematics is much more complicated.

Unfortunately, that classmate turned out to be a master's student at Jiangcheng University.

But Chen Hui can assure you that Jiangcheng University's science and engineering programs are very rigorous. Not only Jiangcheng University, but most science and engineering programs in China are much better than their humanities programs.

Yes, that's Chen Hui's personal opinion.

After calming down for a few minutes, Chen Hui walked towards the classroom apartment. Today was the first day of school at Princeton, and his last student, Michael, was also coming to report for duty. He must have had enough fun, and it was time to give him a break.

"Lindsay, your counterexample is cleverly constructed, but it overlooks the anisotropy of the reduced structure of the principal bundle at the singularity, which leads to the single-valuedness problem of the overall orientability when passing through the pipes connecting the singularities."

The two professors in front are discussing a problem.

It was Rogers Thorne and Lindsay Lee, and by this time they were surrounded by a number of people.

"Professor Chen."

People greeted Chen Hui. Although he had only been at Princeton for less than two months, quite a few people already knew him.

Chen Hui nodded in response to each of them, but his gaze remained fixed on the two people they were discussing.

Soon, Chen Hui understood the topic they were discussing: how to construct a class of quaternion Keller manifolds with specific noncommutative symmetries, so that they simultaneously satisfy a certain compactification constraint from physical gauge field theory.
Their debate centers on how to ensure that the constructed manifold remains orientable within the neighborhood of a specific singularity.

"Professor Rogers, I understand your concerns!"

But could the anisotropic barrier you proposed be 'bridged' by introducing a virtual calibrated submanifold?

Lindsay's fingers unconsciously traced abstract forms of communication in the air, her voice low and precise, "Imagine it,"

He quickly crossed and twisted his hands, “weaving a low-dimensional structure with fixed chirality inside the pipe to anchor the overall direction of the volumetric form!”

"A calibrated submanifold? What a bold idea!"
But how can we ensure that it maintains the required rigidity under gauge transformation?
And, will its introduction break the hyperKellerian property of the quaternion structure we desire?

"The key lies in the precise form of the constraints..."

Lindsay, eager to explain, instinctively took a step forward, trying to capture the fleeting geometric image in more precise mathematical language, "If we write the calibration condition as..."

"Professor Chen?!"

Rogers caught a glimpse of Chen Hui watching from the sidelines out of the corner of his eye, and his face lit up with joy. He instinctively turned around.

But in the instant he turned, his right heel struck a tangled, ancient oak root protrusion completely hidden beneath the dense turf!

"Oh! Blimey!"

Rogers cried out in surprise, instantly losing his balance.

His injured lumbar spine could not provide enough support, and his whole body fell backward like a rag doll that had been pushed over, in an almost slow-motion yet irreversible manner.

The coffee cup in his hand flew out, tracing a silvery arc in the sunlight.

(End of this chapter)