Chapter 610 Proof of Existence of Solutions

afternoon.

Stepping on the class bell, he walked into the classroom and glanced at the crowded classroom. Lu Zhou smiled and made a simple and clear opening remark, and then started his first computational materials course in his life.

In fact, strictly speaking, the course of Computational Materials Science is not a required course for the major of Applied Chemistry. The mathematical knowledge and programming foundation that need to be involved in it are still too difficult for undergraduates.

However, with the development of computer technology, the presence of computational materials science has become stronger and stronger, and Lu Zhou himself is the founder of this emerging discipline, which has led to this course being stuffed into the elective course, and it is still a must. The one you choose.

After all, Jinling University has been running for so many years, and it has only awarded such a Nobel Prize. Nuo was stopped by Lu Zhou, I am afraid that the statue has been erected.

However, the school actually thinks too much.

Even if there is no "required" setting, he doesn't need to worry about the situation that no one will come to class.

The students sitting in the classroom are not only the students of King University, but also some academic masters who come from Dongda University by subway to take classes, and even professors who do research in theoretical chemistry, nanomaterials and other fields. Even though most people will complain on social platforms that "it's so difficult" and "I don't understand" after listening to the class, in fact, people who are serious about taking notes while listening to the class still account for the vast majority...

After finishing the class with 120 points of energy, Lu Zhou left the classroom amidst applause.

Standing in the corridor and looking at his phone, he saw that it was still early, so he turned around and went to the office of the number institute.

When he came to the office, several of his students and assistants were here.

Although he hasn't come to the office to show his face in the past few days, several of his students still insist on clocking in every day.

After walking to his seat and sitting down, Lu Zhou glanced at the clean and tidy desk. Lu Zhou reached out and rummaged in the folder next to him, but he couldn't find what he was looking for, so he asked casually.

"Where's the draft paper I put on the table?"

Hearing Lu Zhou's question, Assistant Zhao quickly stood up and said, "When I was helping you organize your desk, I put it in your drawer."

Lu Zhou: "Well, thank you...but I don't need to tidy up my desk in the future, just keep it as it is."

Zhao Huan nodded embarrassedly and said, "Good professor, I will pay attention."

Finding the draft paper from the drawer, Lu Zhou flattened it on the table, looked at the few lines of calculations written a week ago, thought for a while, and then continued to write along the back of it .

Glancing in Lu Zhou's direction, Feng Jin, who was writing at his desk before, hesitated for a moment, but finally made up his mind, stood up and walked towards him.

"professor."

Looking at the students standing by the desk, Lu Zhou who was in a good mood asked casually, "What's wrong?"

"That question... have you figured it out yet?"

Lu Zhou smiled and said, "Did you read something on my paper?"

Feng Jin scratched his cheek in embarrassment: "I accidentally glanced..."

Looking at the embarrassment on his face, Lu Zhou didn't say anything.

In fact, he didn't really care that Feng Jin peeked at the things on his draft paper.

After all, if it was something important, I wouldn't throw it on the table casually, even if I didn't hide it, at least I would put it in a drawer.

"And then? Studying on that question for a week?"

"...Well," looking at Lu Zhou who didn't care much, Feng Jin heaved a sigh of relief, and scratched the back of his head with some shame, "I tried to think about it for a week, but I didn't have any clue."

"It's normal to have no clue. If you can solve that problem, don't study for a master's degree, and come directly to be a professor."

Hearing this sentence, Feng Jin smiled awkwardly.

He challenged the Yang-Mills equation as soon as he came up, and he admitted to himself that it was indeed a bit inflated.

Looking at the expression on his face, he probably guessed his thoughts, Lu Zhou smiled and continued: "Tell me about your feelings this week."

Feng Jin was slightly stunned: "How do you feel?"

Lu Zhou: "That's right, since you said everything and thought about it for a week, no matter whether you can think of a solution to the problem, you must still be able to think of something? Don't tell me that you are just looking at the draft paper in the office. Made a bunch of meaningless doodles."

Feng Jin's face flushed a little, and he argued: "It's not graffiti, I'm also thinking seriously."

With raised eyebrows, Lu Zhou asked, "For example?"

"For example..." Wanting to say but afraid that Lu Zhou would laugh at him, Feng Jin hesitated for a while, finally gritted his teeth, and boldly stated his idea, "According to my understanding of quantum mechanics, the classical Yang-Mills field is Massless, yet strongly interacting intermediary particles can have mass. In this case, the problem may be simpler if we introduce a scalar field on the space-time manifold."

Lu Zhou nodded approvingly: "Not bad."

Feng Jin looked at Lu Zhou unexpectedly, he didn't expect him to praise himself.

Lu Zhou: "Have you taught yourself quantum mechanics?"

Hearing this sentence, Feng Jin, who was a little surprised at first, suddenly became depressed.

It turns out that what the professor praised was not his own idea itself, but his attitude towards extracurricular knowledge preview...

Looking at Feng Jin who reluctantly nodded, Lu Zhou suddenly smiled and said, "You remind me of someone."

Feng Jin was slightly stunned, and subconsciously asked: "... who?"

"One of the students I supervised in Princeton is now probably studying for a Ph.D. with Witten, and his major is mathematics and physics. You are a little similar in personality, and you are both stronger."

Speaking of it, time really flies, and he has left Princeton for more than a year in a blink of an eye.

I don't know how his students are doing now.

Qin Yue is probably still working as a lecturer at Princeton, and some time ago they had exchanged emails about number theory.

Vera...

With a slightly unnatural look on his face, Lu Zhou coughed lightly and ended the topic.

"Excuse me, let's go back to the previous topic. From an objective evaluation, your idea is not a big problem in a sense."

Upon hearing this, Feng Jin asked excitedly, "Really?"

"...Don't rush to be happy. What I said is that there are no major problems," Lu Zhou continued, seeing Feng Jin's excited expression, "However, in physics, having no problems is not necessarily easy. means right."

"Doesn't mean...right?"

"That's right." Looking at Feng Jin who was stunned there, Lu Zhou nodded with a slightly approving expression, "Someday you will really understand the meaning of what I said, and the distance between the truth and you is very far away. It's close."

...

At school until six o'clock in the evening.

When Lu Zhou returned home from school, it was already dark outside.

He walked straight into the study room that had been completely new, pulled out the chair and sat down, quietly picked up the pen, and began to put the finishing touches on the proof that had not been completed in the morning.

Sometimes, math problems are just so magical.

When a train of thought is cleared up and can be continued predictably, the follow-up process is nothing more than a matter of course.

After finishing the last line of calculation, looking at the stack of draft paper, Lu Zhou's mouth evoked a comfortable smile.

Although it is not a decisive result, it can at least be regarded as a phased result that can be achieved.

That is, use mathematical methods to prove the existence of solutions to the Yang-Mills equation.

As the first half of the first part of the Millennium Problem on the Yang-Mills Equation, the questions in this section were not really challenging for him.

Although he also used some mathematical tricks to solve this problem, there was no innovative method.

Basically, the core part of the whole proof revolves around the L-manifold he figured out when solving NS equations.

But anyway, this problem is solved.

The next step is to find a general solution to the Yang-Mills equation...

Compared with the existence of a proof of the existence of a separate solution, this part of the problem is undoubtedly much more challenging...