In the afternoon.
Lu Zhou walked into the classroom and looked at the crowded classroom. He smiled and gave a simple and clear opening speech. He then began his first computational materials science class in his life.
In fact, strictly speaking, computational materials science was not a required course for applied chemistry majors. It required mathematical knowledge and programming foundation, which was too difficult for undergraduates.
However, with the development of computer technology, computational materials science became more and more important. Lu Zhou himself was the founder of this emerging discipline, so this course was forced into an elective course, and it became a required course.
After all, the University of Jin Ling had only produced one Nobel Prize. If it weren't for Lu Zhou, the Nobel Prize would have become a statue.
However, the school was overthinking things.
Even without the "required" setting, he didn't have to worry about no one coming to class.
It wasn't just students from Jin Ling University sitting in the classroom. There were also geniuses who took the subway from Eastern University, as well as professors who did research in theoretical chemistry and nanomaterials. Even though most people complained on social media that the lecture was "so difficult" or "I don't understand", the vast majority of people were actually taking notes in class …
Lu Zhou used 120% of his energy to finish the class. He left the classroom amidst the applause.
He stood in the hallway and looked at his phone. Seeing that it was still early, he turned around and went to his mathematics department office.
When he arrived at his office, his students and assistants were all there.
Even though he didn't show up in the office for the past few days, his students still insisted on checking in every day.
Lu Zhou walked to his seat and sat down. He looked at the clean and tidy desk. He reached out and rummaged through the folder next to him, but he didn't find what he was looking for, so he asked casually.
"Where's the draft paper I left on my desk?"
When Assistant Zhao heard Lu Zhou's question, he quickly stood up and said, "I put it in your drawer when I was helping you tidy up your desk."
Lu Zhou: "Okay, thank you … but you don't have to tidy up my desk anymore, just leave it as it is."
Zhao Huan nodded embarrassedly and said, "Okay, Professor, I will be careful."
Lu Zhou took out the draft paper from the drawer and laid it flat on the table. He looked at the lines of equations that he wrote a week ago and thought for a bit. He then continued to write.
Feng Jin looked in the direction of Lu Zhou. He hesitated for a bit and finally made up his mind. He stood up and walked toward Lu Zhou.
"Professor."
Lu Zhou looked at the student standing next to his desk. He was in a good mood and asked, "What's wrong?"
"That question … have you figured it out?"
Lu Zhou smiled and said, "You saw the things on my paper?"
Feng Jin scratched his cheek awkwardly. "I accidentally saw …"
Seeing the awkwardness on his face, Lu Zhou didn't say anything.
Actually, he didn't care that Feng Jin looked at his draft paper.
After all, if it were something important, he wouldn't just leave it on the table. Even if he didn't hide it, he would at least put it in a drawer.
"Then what? You spent a week researching that question? "
"Yeah …" Feng Jin looked at Lu Zhou and sighed in relief. He scratched his head and said, "I tried to think for a week, but I didn't have a single clue."
"It's normal to not have a clue. If you can solve that question, you don't need a master's degree, you can become a professor."
When Feng Jin heard this, he smiled awkwardly.
Challenging the Yang-Mills equations right off the bat, he had to admit that he was a bit arrogant.
Lu Zhou looked at his expression and guessed what he was thinking. He smiled and said, "Tell me about your thoughts this past week."
Feng Jin was slightly stunned. "Thoughts?"
Lu Zhou: "That's right. Since you said you thought about it for a week, even if you can't think of a solution, you should be able to think of something, right? Don't tell me you just made a bunch of meaningless scribbles on a piece of draft paper in your office. "
Feng Jin's face turned red, and he argued, "It's not scribbles, I was seriously thinking about it."
Lu Zhou raised his eyebrows and asked, "Like what?"
"Like …" Feng Jin was afraid that Lu Zhou would laugh at him, so he hesitated for a bit. In the end, he clenched his teeth and said, "According to my understanding of quantum mechanics, the classical Yang-Mills field is massless, but the medium particle of the strong interaction has mass. In this case, if we introduce a scalar field on a spacetime manifold, the problem might be simpler. "
Lu Zhou nodded and said, "Not bad."
Feng Jin looked at Lu Zhou in surprise. He didn't expect Lu Zhou to praise him.
Lu Zhou: "You've studied quantum mechanics on your own?"
Hearing this, Feng Jin, who was pleasantly surprised, immediately felt depressed.
The professor wasn't praising him for his ideas, but for his attitude towards studying extracurricular knowledge in advance …
Lu Zhou looked at Feng Jin, who reluctantly nodded. He suddenly smiled and said, "You remind me of someone."
Feng Jin paused for a second and asked, "Who?"
"A student I taught at Princeton. He's probably doing his PhD at Witten. He chose mathematical physics. You guys are similar in personality, you're both strong. "
Speaking of which, time really flies by. In the blink of an eye, he had already left Princeton for more than a year.
He didn't know how his students were doing now.
Qin Yue was probably still working as a lecturer at Princeton. A while ago, they talked about number theory problems through email.
Vera …
Lu Zhou looked a little unnatural. He coughed and ended the conversation.
"I've digressed. Let's go back to the previous topic. Objectively speaking, in a sense, your idea is not very problematic."
Feng Jin was excited when he heard this. He asked, "Really?"
"Don't be too happy yet, I just said that it's not a big problem." Lu Zhou looked at Feng Jin's excited face and said, "However, in physics, no problem doesn't necessarily mean correct."
"Doesn't mean … correct?"
"That's right." Lu Zhou looked at Feng Jin, who was stunned. He nodded with a slightly approving expression and said, "When you can truly understand the meaning of this sentence, the truth will be very close to you."
…
Lu Zhou stayed 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 newly renovated study, pulled out a chair, and sat down. He quietly picked up his pen and began to put the finishing touches on the unfinished proof from the morning.
Sometimes, mathematical problems were just that magical.
When a train of thought was connected, and it could be foreseen that it could continue, the subsequent process was just a matter of time.
After Lu Zhou finished writing the last line of calculations, he looked at the stack of draft paper and smirked.
Even though it wasn't a decisive result, it was at least an in-progress result.
Which was, he used mathematical methods to prove the existence of a solution to the Yang-Mills equations.
This was the first half of the first part of the Yang-Mills equations Millennium Prize Problems, so this part wasn't really challenging for him.
Even though he used some mathematical techniques to solve this problem, he didn't use any innovative methods.
Basically, the core part of the entire proof revolved around the L Manifold that he figured out when solving the Navier – Stokes equations.
But in any case, this problem was solved.
The next step was to find a general solution to the Yang-Mills equations …
Compared to proving the existence of a single solution, this part of the problem was undoubtedly more challenging …
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