God of black technology

Where is the Institute for Advanced Study in Princeton?It is a world-renowned research institution, but not part of Princeton University.This is a paradise for pure academic research, a research institution that will not accept any teaching assignments, research funding or sponsor pressure.

Of course, there is nothing wrong with saying that.But in fact, everyone knows what is going on.Especially in the recent years of rapid development of Huaguo, the number of Chinese in the Institute for Advanced Study in Princeton is getting smaller every year, and we can see a rough idea.

If it weren't for being able to get in touch with the world's top bosses here, Wang Yun would not want to enter the Princeton Institute for Advanced Study.

Just kidding, no one knows how many secrets there are.The former celebrities of this institute include Einstein, von Neumann, Oppenheimer, etc., and you can see one or two.

As for the meeting held by the International Union of Mathematicians in the capital of China, he was probably invited to attend because he solved the Kakutani conjecture.For this kind of thing, it is enough to do an academic report once, and there is no need to do it again.Wang Yun rubbed his eyebrows, probably the conference wanted people like them to give academic reports.

As for receiving the award, don't make a fuss.Will the Goss Award and the Chern Award be given to him?As for the Ramanujan Prize and the Abel Prize.Don't be kidding, the former has been confirmed to be awarded to Chen Yang of the International Mathematics Research Center of Peking University, and the latter has been awarded to Andrew Wiles who proved Fermat's last theorem.

What is he in front of the two great gods?Nothing counts.Therefore, Wang Yun is not looking forward to this International Congress of Mathematicians at all, and he has nothing to do anyway.If he was able to prove the NS equation in 18, maybe he still has some ideas, at least the Fields Medal can obviously be included in the bag.As for other medals, almost all of them are added after winning the Fields Medal.

While walking, Wang Yun shook his head, thinking about what to do with this matter.Anyway, he has nothing to do, this kind of international award is not something he can think about now.It's better to continue to study the NS equation, but...

ummmmmmm...

The functional analysis taught by Professor Bourgain today is really interesting. The nonlinear ordinary differential equation seems to be more interesting than he imagined.

Although it can be said that it has almost no impact on solving the NS equation, Wang Yun just couldn't hold back his curiosity and wanted to learn more.For a new thing, Wang Yun probably always maintains such a curiosity.Probably, this is also one of the motivation sources for his study.

Back in the dormitory, Wang Yun turned on the computer and searched for information about the Princeton Research Institute.After a few glances, he lay down on the bed and slowly fell asleep.

…………

The next day, the morning sun was just right, and there was a warm feeling on Wang Yun's body.Princeton in September, especially Princeton University, is a very good season for Wang Yun, neither hot nor cold.

When he came to Professor Witten's office, he found that Professor Witten didn't seem to have arrived yet, and only Robert was sorting out the materials.Seeing Wang Yun walk into the office, Robert waved at Wang Yun and said, "Young man, come quickly."

Wang Yun walked in front of him, and Robert said, "These are the materials that Professor Witten needs to go to the Princeton Institute for Advanced Study. Today is the last time I organize them. Next time, Professor Witten will tell you what materials he needs. I believe that, You can do it."

When talking about this, Robert paused, "I remember that I have classified all the materials that the professor needs. In the future, the professor will go to the Princeton Institute for Advanced Study, and you will have to do all these things." Robert expressed a kind of envy Looking at Wang Yun, he sighed and said, "I really envy you for being able to go to the Princeton Institute for Advanced Study. I believe you know exactly what that place is."

Wang Yun nodded and took the information Robert handed over, and said silently, "Thank you, Assistant Robert."

"It's nothing." Robert said with a smile, "This is an opportunity you earned yourself, and it has nothing to do with me." Shrugging his shoulders, Robert continued, "However, even if you get the Princeton Institute for Advanced Study Whether you can stay in the Institute for Advanced Study in Princeton for a long time or not depends on your own luck."

Robert clapped his hands, turned and walked away.

Wang Yun looked at the direction where Assistant Robert left and smiled helplessly. It seemed that Assistant Robert seemed a little angry.

When Professor Witten walked into the office, he asked curiously, "You are alone, where is Robert?"

"Professor, Assistant Robert must have something to do, so he left early." Professor Witten nodded slightly to Wang Yun's answer, but did not speak.He thought in his heart that Robert should not be in a good mood now.After all, I have been my assistant for two years, but I have never been qualified to enter the Princeton Institute for Advanced Study. I did not expect that a direct PhD student would be able to enter the Princeton Institute for Advanced Study after half a year in Princeton.

No matter who it is, the mood will be more or less uncomfortable.

"Let's go." Professor Witten smiled at Wang Yun while holding a piece of clothing, "The car is already waiting for us downstairs."

Wang Yun followed Professor Witten and walked downstairs. After getting into the car, the driver sitting in the front row drove out of Princeton without saying anything.The scenery along the way was beautiful. Professor Witten watched Wang Yun look at the surrounding scenery with curious eyes. He smiled and said, "Wang, I don't think you often walk out of the gate of Princeton?"

"Hmm..." Wang Yun pondered for a while, nodded his head and said, "Because there are too many things to study, and I am a bit too busy."

Professor Witten shook his head, "When I was your age, I was still doing nothing in college. It's not like you, just like an old pedant."

Wang Yun smiled sarcastically, touched the bridge of his nose and did not speak.

"However, your personality is indeed quite suitable for research." Professor Witten said Wang Yun while looking forward, and after a while, they came to the gate of the Institute for Advanced Study in Princeton.

After taking out their ID cards, the guard let them into the Princeton Institute for Advanced Study.

When getting off the car, Wang Yun stretched slightly in the fresh air. Professor Witten held the clothes in his hand, pointed forward and said, "Let's go, let's go to the Institute of Physics first, to be precise, it should be the School of Natural Sciences."

Professor Witten led the way, and Wang Yun followed behind Professor Witten, walking step by step.

After a while, they came to the meeting room of the School of Natural Sciences. Professor Witten said with a serious face, "There will be a meeting later on quantum electrodynamics."

Professor Witten was stunned for a moment, looked at Wang Yun and asked, "Wang, I forgot, do you know quantum electrodynamics?"

Wang Yun smiled and said, "Professor Witten, quantum electrodynamics is the most mature branch of quantum field theory. Scattering between charged particles, scattering between charged particles and photons, etc.

Hearing what Wang Yun said, Professor Witten nodded slightly, "It's fine as long as you know it. You will mainly record the content of the meeting later."

"Okay." Wang Yun nodded slightly, this is not difficult.Fortunately, he had studied quantum field theory before, otherwise he must be very embarrassed now.Especially when you see Professor Witten's extremely disappointed eyes, not many people come into the conference room. "Probably because Professor Witten was not the speaker, so Professor Witten sat in a relatively rear position, and Wang Yun sat in the back, holding a pen and looking towards the empty conference room ahead.

I don't know how long this meeting will start?Who will be the main host?Wang Yun guessed in his heart that he encountered such a thing as soon as he arrived. It can be said that it was a rare opportunity for Wang Yun.It is impossible for the Institute for Advanced Study in Princeton to hold such meetings every day, especially the meetings attended by many bigwigs are terribly rare.

And he was very lucky to be able to participate in this kind of meeting as soon as he came.

This time, he just needs to make a record, as for other academic debates and the like.Wang Yun glanced at his mentor, well, with his mentor present, it is impossible for him to be his turn.

After waiting for a long time, some bosses brought their assistants into the meeting room one after another.

The boss who finally walked into the conference room looked familiar, but Wang Yun couldn't remember who it was.But it is certain that this big guy must be the keynote speaker.

"Let's start our today's topic on quantum electrodynamics." The speaker opened his notebook——

[E, p are the energy and momentum of the particle, f, λ are the corresponding matter wave frequency and wavelength.It should be noted that for light, there is the following equation: fλ=c

Therefore, the two relational expressions are not independent of each other, and there is actually only one relational expression; for physical particles, the two expressions are independent of each other.

…………

The biggest difference between the above two formulas is: SE has particle mass m, but MWE does not. ②】

Wang Yun listened with gusto, and while listening to the keynote speaker explain the equations about the characteristics of electromagnetic waves, he recorded the minutes of the meeting.After a while, there were only light coughing and recorded sounds in the entire conference room, and the rest of the people did not make any sound.

After the speaker finished speaking, he looked around and asked, "Do you have any other comments? About the equation?"

The bosses didn't speak, and the assistants certainly didn't dare to speak.Wang Yun pondered for a while about the equations explained by the boss. Apart from feeling that the explanations were very good, he really didn't find anything wrong.So he didn't say anything, the boss closed his notebook and said with a smile, "It seems that everyone is quite satisfied with my explanation."

Professor Witten put his hands on the table and lowered his head, apparently thinking.

The speaker stood in front of him without moving, and most of the professors were thinking about it.Wang Yun was stunned for a moment, could there really be something wrong?He frowned and thought about it carefully, but he still couldn't figure out what went wrong, or what.It never occurred to him that something might go wrong.

Professor Witten shook his head at first, "I haven't found any mistakes yet."

ummmmmmm...

So it's just not found yet?If you find out, do you have to refute it immediately?The moment Wang Yun raised his head to look at the speaker, he recalled who this great god was.

FreemanDyson, who made decisive contributions to quantum electrodynamics.No wonder, the bosses present had no meaning for his theory and equations.Of course, this is not because he dare not challenge the authority, but in this respect, I am afraid that there is no one who can be more authoritative than him.

No one can match him in the depth of research in this direction of naturalism.So there is nothing wrong with what Professor Witten said.An equation can be verified repeatedly. Now that they are unable to ask questions for the time being, it does not mean that they will not be able to ask questions in the future.

FreemanDyson seemed to have expected this result a long time ago, so he just smiled and said nothing, "Then, I hope that you will come to me to discuss this issue in the future."

"You are welcome anytime." After saying this, the big cow walked out of the conference room. Professor Witten didn't move, and Wang Yun naturally didn't move either.Watching the other professors leave the conference room with their assistants, Professor Witten seemed to be thinking about something. He looked up at the blackboard and was silent for a while.

"Wang, you know about Freeman Dyson, right?"

"I know." Wang Yun replied.

"What do you think of the equation he just mentioned? Don't think too much, just tell me the answer you think of now." Professor Witten seems to still have some details that he hasn't figured out.

Wang Yun looked at the equations on the blackboard and said, "I don't see anything wrong now, and I don't think there's anything wrong with it. Maybe it's because I'm not too familiar with this part."

"He was studying the path integral method before." When he said this, Professor Witten frowned, "I always feel that something is wrong, forget it, I will do the calculation again when I go back."

Standing up, Professor Witten did not look at Wang Yun, but said slightly, "Let's go, Wang, all the information I need is here, right? Information about quantum field theory and topological quantum field theory."

"That's right." Wang Yun nodded slightly, "It's all here with me."

"That's good." Professor Witten pushed open the door of the conference room, "You will look at quantum field theory first, and there is a mathematical model that you need to do. I can accept it or not." Professor Witten smiled, "I just want to see if you can make a mathematical model. Especially, quantum physics."

"I will work hard." Wang Yun followed Professor Witten. He thought that Professor Witten also wanted to teach him about quantum physics. How could he not accept Professor Witten's kindness? .

When he came to the office, Wang Yun found that the layout here was actually similar to the layout of Professor Witten's office in Princeton University.But it's really not as spacious as Princeton, sitting in your own seat. Professor Witten waved at Wang Yun and said, "Wang, please put the information with me first."

Walking to Professor Witten's desk, he put all the materials on Professor Witten's desk.

Professor Witten took the materials and began to search for them. After rummaging for a long time, he finally found a few pages in the folder and handed them to Wang Yun, saying, "This is the mathematical model you need to build. Now you You can study it first." Professor Witten smiled when he said this, "You don't need to hand it over to me now, because your foundation in quantum field theory is relatively weak, I think it would be better for you to give it to me in a week. This mathematics The model will not be needed for the time being."

"Of course, if you have any questions, you can ask me. If I am too busy, you go out of this office, and the third room on the left is Professor Dyson's office. He also has some research on nonlinear partial differential equations. If you are really If you can’t do it, you can ask him about nonlinear partial differential equations.”

After being silent for a while, Wang Yun smiled and said to Professor Witten, "I'll try my best. Although I may not be able to build a mathematical model, I don't even try. I think it may make me feel even more ashamed."

Professor Witten smiled and didn't speak. He saw Wang Yun casually found a desk with a few pages and sat down, and began to calculate with the draft paper.

Shaking his head, he also started to do his own thing.After all, he still has a lot of work to do, and it is impossible to focus on Wang Yun all the time.

After receiving the paper, Wang Yun was silent for a while. After reading the whole discussion, he was almost certain that the mathematical model was still the mathematical model of the Hilbert space problem in essence.

After thinking about it, Wang Yun stopped his pen and began to think.

How should such a mathematical model be done?Logically speaking, the functional analysis of the mathematical model of the Hilbert space should be the best.

Is it a nonlinear ordinary differential equation?Wang Yun's eyes lit up. By the way, Professor Bourgain said about the problem of Banach space before, and Hilbert space is the problem of Banach space.

Well, thinking about it this way, Wang Yun raised his eyebrows and continued to write on the draft paper.