A genius? I just love studying.

Chapter 181 Inspiration from Schulz and Toterell Hans Christiansen

Amidst the pile of draft paper, lines of equations seemed to wriggle. Chen Hui stared at the perfect proof on the paper beside him, but in his ears came whispers that sounded like ghosts.

Chen Hui first constructed a standard form of a BPST solution based on the proof in the paper, and then began to calculate the topological charge...

The verification process was tedious and precise; any small mistake or oversight could lead to the failure of the entire process. Chen Hui kept writing lines of calculations on the draft paper, and the draft paper on the table piled up more and more, and Chen Hui's brows furrowed deeper and deeper.

The whispers in his ear grew stronger and clearer, as if a demon was trying to stop him from moving forward, which only strengthened Chen Hui's determination to continue his verification.

As Chen Hui wrote down the first equation, his doubts grew stronger and stronger. He became more and more certain that the proof was flawed!
Your math level has improved from 3 (92%) to 93%.

【your……】

The barrage of comments kept flashing before Chen Hui's eyes, but he was completely oblivious, caught up in the verification of this seemingly perfect proof.

Although his strong intuition told him that there was a problem with the proof, many mathematicians noticed this but did not actually investigate the problem.

It's not that they're unwilling, but the issue isn't that simple. They don't want to waste so much time on things outside of themselves, and potentially end up with nothing.

Chen Hui's actions were like rushing into the fog, fighting against the monster hidden in the darkness, and trying to catch that fleeting shadow.

Like a heroic adventure.

Boom boom boom!
He didn't know how much time had passed when the knocking on the door startled Chen Hui from his daze.

Looking up, he saw that it was already pitch black, and his stomach was growling loudly. He was starving, and a terrifying wave of hunger surged up, choking him and almost making him faint.

He hadn't had a drop of water since morning, and was already in a state of intense mental exertion. If it weren't for the knocking on the door, Chen Hui really suspected he would have starved to death before finishing the calculations.

He grabbed the water glass on his desk, gulped down several mouthfuls of water, then picked up some snacks from somewhere in the hotel and swallowed them whole before getting up to open the door.

"Did I disturb you?"

The door opened, and Terence Tao asked apologetically, knowing that knocking on a scholar's door like that was extremely impolite.

Originally, he and Schultz planned to wait for Chen Hui to come out for lunch before talking to him, but who knew that Chen Hui would not come out no matter how long they waited. He had not eaten lunch or dinner, and it was already past nine o'clock, so they decided to knock on the door and try.

"of course not."

Chen Hui shook his head; he should be thanking the two of them.

To exaggerate a bit, if Terence Tao and Schultz hadn't come to him, he probably would have really fallen into a coma due to hypoglycemia from being too engrossed in his studies. It would have been ridiculous if no one had discovered him in time and a rising star in the mathematics world had fallen in such a way.

"Come in and talk."

He didn't know why the two of them wanted to see him, but the doorway was clearly not a place to talk. After gesturing for them to come into the room, Chen Hui closed the door, opened his suitcase, took out a bucket of instant noodles, and started boiling water.

The instant noodles that Wang Qiming prepared for him finally came in handy.

"May I have a look?"

While Chen Hui was busy, Terence Tao and Schultz went straight to Chen Hui's desk after entering the room. Seeing the draft paper on it, they politely inquired about it.

After obtaining Chen Hui's consent, the two stood in front of the desk and began to study diligently.

"Are you also studying Bryant's Yang-Mills equations?"

Tao and his colleague immediately recognized what Chen Hui was doing, given that Bryant's paper published on arXiv was right next to them.

"There is a problem with this paper."

Schultz was outspoken.

They had all read the paper, but they all had their own research to do and didn't invest as much effort in the verification as Chen Hui, since they weren't the academic editors of the paper.

"Oh?"

"You think so too?"

Pour boiling water into a bowl, cover the instant noodle bowl with a book, and ask in surprise, "What's wrong?"

Schulz and Tou Zhexuan were both amused and exasperated.

Asking questions relentlessly is a good learning attitude, but sometimes it can be quite annoying.

"It's just a mathematician's intuition!"

Schultz wasn't too embarrassed; he shrugged and made no attempt to deny that he hadn't found the problem.

"I think so too."

Chen Hui was not too disappointed. Instead, he became more determined to continue the verification. Since even Terence Tao and Schultz thought so, it meant that there were indeed problems with the paper.

Although the two did not provide him with an answer, they at least made him more certain that there was indeed an answer in this fog!
"We didn't come to see you today for the Yang-Mills equation."

Tao Zhexuan put down Chen Hui's draft paper. They hadn't found anything interesting in it, so they got back to the main topic.

"We'd like to talk to you about the paper you're going to present the day after tomorrow."

Schultz picked up the conversation, acting as both the straight man and the comedian, and his collaboration with Terence Tao was remarkably smooth.

"My paper?"

Chen Hui was somewhat surprised. His paper was indeed very innovative, but it didn't have much value, so much so that it would not have attracted the attention of two Philippine Prize winners.

Because it still lacks too many details to be added, to put it simply, his paper is like establishing the general outline of a martial arts, which is undoubtedly of great significance and has great potential, but to cultivate this martial arts, it is still necessary to develop specific cultivation methods based on this general outline.

However, he himself is not interested in establishing a specific cultivation method for the time being, so this paper is now in an awkward position.

Despite his doubts, Chen Hui didn't slow down at all. He picked up the book covering the bowl, stirred a clump of noodles with his fork, blew on it, and stuffed it into his mouth, slurping it down.

He was so hungry!

"That's right!"

Schultz answered affirmatively.

At the same time, his nostrils twitched.

The room was filled with a strange smell.

But he didn't feel disgusted; in fact, it smelled quite good!
He looked at Chen Hui with some curiosity.

"Would you like a bowl?"

Chen Hui had just slurped down a bowl of instant noodles and was about to make another one when he saw Schultz's probing gaze.

Schultz did not refuse; it was already some time before dinner, and it was time for a late-night snack.

Five minutes later, a kettle of water boiled, and the three of them went to the tea room separated from the room and started slurping noodles. "What brand of instant noodles is this? It's actually pretty good!"

Terence Tao said in English.

Although he is of Chinese descent, he grew up in the West, and English is his mother tongue.

"Eggplant King".

Chen Hui complained that instant noodles weren't nutritious enough when he ate them himself, but he was quite happy to see that his international friends liked them. "They might not be available here, but I'll send you some when I get back to Jiangcheng."

"Thank you so much!"

Neither Terence Tao nor Schultz refused; clearly, they were both captivated by this amazing Chinese cuisine.

Instant noodles also exist in the West, but their taste is far inferior to that of Chinese instant noodles.

After finishing his instant noodles, Chen Hui took out three cans of cola from the refrigerator, took a big gulp, and felt incredibly satisfied.

After they had eaten and drunk their fill, Schultz spoke again, "Using mathematical models to guide condensed matter physics experiments is a very promising direction. Would you be interested in coming to the University of Bonn? We can collaborate on this research topic."

He eventually developed a love for talent, and even if he didn't take her as a student, it would be good to work with her.

Terence Tao smiled without saying a word, but he didn't seem to have that much of a fixation on it. "We think that perhaps you can improve this model and use supercomputing to extrapolate the material structure. Maybe you can make some interesting discoveries."

"Supercomputing?"

A flash of inspiration struck Chen Hui, and he jolted awake, asking a question.

"That's right!"

Schultz also put aside his distractions and joined the discussion, saying, "The Lean technology that I developed in collaboration with Microsoft has played a huge role in assisting the theorem proofs, and the liquid tensor experiments have yielded exciting results."

"I can recommend that you contact them. Perhaps we can try to develop software that can guide the synthesis of materials. For example, we can set the properties of the material, obtain the structure of the material through model calculations, and then synthesize it through experiments!"

Schultz said with great enthusiasm, already imagining countless exciting scenarios.

Whether it's a satellite in the sky, a water seepage detector in the sea, or a massive project like the Three Gorges Dam, or even a chip the size of a thumbnail, all of these are closely related to materials science.

If we can synthesize materials with even better performance, the future of Earth will be greatly changed.

If you were to ask him to evaluate the most important areas of applied science today, materials science would undoubtedly rank in the top three, and it could even be said that it is the foundation of all applied science.

Unfortunately, Chen Hui didn't hear a word he said after that.

During a dinner after the defense of his thesis, inspired by Academician Zhang Jiping, he used dialectical groups to solve the transformation of Yang-Mills' existence problem from high-dimensional to low-dimensional.

In his subsequent research, he went a step further, introducing the AdS/CFT duality from string theory, replacing the high-dimensional spacetime with a "quantum coding membrane," mapping the four-dimensional gauge field to the conformal field theory of the two-dimensional boundary, and using the solvability of the two-dimensional solution to construct the four-dimensional solution in reverse.

We've reached the final step in solving this problem. Unfortunately, even with dimensionality reduction, this partial differential equation is still not easy to solve, or rather, at least with current methods, it's impossible for humans to find a solution.

But machines can!
Boom!

A thunderclap ripped through the darkness.

Suddenly, everything became clear, and Chen Hui could see the road ahead clearly.

He doesn't need to calculate it himself; he only needs to introduce the quantum Munger-Amber algorithm to transform the nonlinear partial differential equation into an optimal transmission problem and use the parallelism of quantum computing to search for the "smoothest" solution in an infinite-dimensional space.

However, the Amber algorithm needs to be optimized and specifically modified to solve the Yang-Mills equation.

Chen Hui rushed to the desk, picked up a pen, pulled out a stack of brand-new draft paper, and began to scribble and draw on it frantically.

Schultz and Tao looked at each other, wondering what had happened. They had just started sharing their ideas and hadn't even delved into the academic issues yet. Could this have inspired the other?

Isn't this a bit too unbelievable?
Although the two were surprised, they did not interrupt Chen Hui's thinking. Instead, they stared intently at Chen Hui's draft paper and began to think along with him.

By defining the "geometric cost function" of gauge fields using the Monger-Amber equations, minimizing abrupt changes in spacetime curvature, and using a quantum annealing machine to traverse the possible solution space, candidate solutions that satisfy the finite energy and singularity-free conditions are identified...

Lines of equations took shape under Chen Hui's pen, like driving a "quantum topological tractor" to plow deep furrows on an infinite-dimensional plain, forcing the chaotic beast to walk along the furrows and eventually fall into the cage of existence.

"He's not researching materials models in condensed matter physics; he's trying to prove the existence of the Yang-Mills equations!"

Schultz and his colleague quickly reached this conclusion, and it seemed he was close to success!

A hint of surprise flashed in their eyes. They had originally thought that this little guy was just a genius like them, but how old was he?

Seventeen!
They're already close to achieving a Philippine award-level result?

Schultz won the Feinberg Prize at the age of thirty, making him the youngest Feinberg Prize winner in history. If Chen Hui truly proves the existence of the Yang-Mills equation, he will definitely have a place in the Feinberg Prize the year after next.

Even at that time, Chen Hui was only eighteen years old!

Chen Hui was only performing the final optimization and calculations for the solution. The two of them did not see Chen Hui's previous thought process. Even with their abilities, they could not fully understand Chen Hui's proof method.

This left the two scratching their heads, wanting to ask Chen Hui, but worried about interrupting his train of thought.

This was undoubtedly extremely painful. All they wanted now was for Chen Hui to complete the final proof as soon as possible so that he could answer their questions.

But then, Chen Hui suddenly stopped.

After introducing computer-aided verification, everything went smoothly, but there was still one problem to solve—there are some singularities in the process of mapping a four-dimensional gauge field to a two-dimensional boundary, which may cause the solution to collapse.

Schultz and Tou Zhexuan stood on either side of Chen Hui, like guardians, and were so anxious that they wished they could personally step in to solve this problem for Chen Hui.

Unfortunately, there was nothing they could do.

That's true. To achieve such a result at this age is truly astonishing. If you encounter some difficulties, complete the full proof in a few years, and then win the Fields Medal, everything will seem much more normal.

The two looked at each other and both saw a sigh of relief on each other's faces.

But in the blink of an eye, the two of them became excited again.

Once Chen Hui recovers from this state, they can discuss what he just learned with him. Perhaps, after understanding the cause and effect, they can provide Chen Hui with a solution to his current predicament.

While it would seem more reasonable to solve the existence problem of the Yang-Mills equation a few years later, if they can be participants in this historic moment, then solving it now is not unreasonable.

Chen Hui frowned, clearly encountering difficulties.

At his current level, the mathematical problems he encounters are very difficult to solve immediately; perhaps he can only rely on time to gradually work his way up.

Chen Hui sighed and prepared to give up on this simulation.

Although we didn't get the final result, there's only one small step left!
But at this moment,
A comment popped up.
Your math level has improved from 3 (99%) to 100%.

Your math level has increased to level 4, and you have gained 1 free attribute point.

(End of this chapter)