God's Crown

kindness?An Yan raised his eyebrows. Why did Kai and Shinya think that he was studying mathematical physics?He didn't think it through, but still said to Kai and Shinya, "Sorry, my major is not mathematical physics, but high energy physics."

"High-energy physics?" Hai and Shinya thought about it. According to his understanding, high-energy physics is more about exploring the properties of elementary particles in the surrounding world. This major needs to do experiments before it can be verified later.But An Yan was sitting in the library doing Fourier series, and it was hard for him to convince himself that An Yan was really doing something instead of playing math games.

That's right, in Hai and Shinya's view, string theory extended from high-energy physics, that is, a tentative theory of grand unified theory, has been completely reduced to a game for mathematicians.

String theory is almost impossible to prove, especially M theory.The limit state of physics has been reached, which is like - mathematicians verify physics through mathematics, and the logic of these theories can be established mathematically.But in physics, it seems a little unreasonable.Using mathematics to supplement physics is a bit weird no matter how you think about it.Of course, he also knows that there is nothing wrong with a lot of knowledge in physics that can be applied to mathematics.

But it is a bit unreasonable to let physics be completely reduced to the game of mathematicians.

Kai and Shinya were particularly suspicious that Anyan was playing with his own knowledge of mathematics, namely—playing a mathematician's game—string theory.In other words, string theory, superstring theory, and eleven-dimensional space can also be called a number game.

"Yan Jun, are you studying superstring theory?"

"No." An Yan said with a smile, "I made something out of the Hilbert space and my own space in the gauge field theory. A professor of physics at Hua Guo Jing University told me that I could try it. .”

"I see." Kai and Shinya smiled, it turned out that they were doing gauge theory.He thought that An Yan was playing a math game, but the application of field theory to Fourier series is a very common thing.

An Yan looked at Kai and Shinya, whether they were frowning just now, or smiling now.It seems to indicate that this guy seems to have some opinions on string theory.But An Yan didn't say anything, and it has nothing to do with this friend of the Neon Kingdom who has opinions on string theory.What's more, string theory is indeed an attempt at a grand unified theory.Although a grand unified theory has been proposed, no one knows whether it can be verified or whether there is a grand unified theory.

Even Einstein, who proposed the theory of grand unification, the greatest physicist of the twentieth century, failed to find a method of grand unification until his death. It is really not easy for people to find this method later.At least, no physicist now looks like he can surpass Einstein.

Recently, whether it is superstring theory or M theory, it is not wrong to be a hot topic in high-energy physics. There are even countless papers for this, supporting many physicists.But because this thing has reached the limit of physics, it is completely impossible to be verified.

Therefore, whether it is string theory, superstring theory, or M theory as the ultimate physical theory, there is no possibility of winning the Nobel Prize at all.

Unless you can really prove that the Grand Unified Theory really exists and is solved by you.Instead of playing with numbers, what numbers games mean - your papers and calculations are mathematically logical, but completely unprovable in physics.

This is why M theory is criticized.

For example, Mr. Yang Zhenning of Huaguo does not think that M theory is the way to find the grand unified theory.

And if you want to carry out a grand unified theory, you must confirm the remaining unified theories except the already proven unified theory of weak electricity, which is almost impossible to complete.How many scholars dedicated to the grand unified theory have spent almost their entire lives unable to prove whether the theory really exists.

This is the most pitfall of the grand unified theory, except that in the 60s of the last century, three scientists, Glashow, Weinberg, and Salam, proposed a unified theory of weak electricity, that is, the unity of electromagnetism and weak interaction. This unified theory can be explained separately Various phenomena of weak interaction and electromagnetic interaction, and predicted several new particles, they won the Nobel Prize in Physics in 1979, and in 1983, they discovered the particles predicted in the theory, which further proved the correctness of the theory . ①

Today, many scholars are still studying other unified theories, but no one has made any achievements.

Hai and Shinya's doubts about string theory are just the epitome of the general doubts about string theory in academia.Even An Yan adores Dr. Witten, but it has to be said that it is hard to imagine whether a theory like M theory, which can never be verified, can really exist in physics.

Physics is about making experiments and letting mathematics go along with the experiments.And string theory almost makes physical experiments go along with mathematics. In a fundamental sense, it is probably a game of playing with numbers.It's hard to imagine where it will develop in the future, at least An Yan can't imagine it. "That's right." Hai and Shinya said when An Yan was thinking, "May I know which professor's student you are? I heard that Huaguo students like to study in the laboratory or library very much." .But you look a bit unfamiliar."

"Oh, I just got to Stanford today."

Kai and Shinya looked at An Yan in awe. They just arrived at Stanford University today and couldn't wait to study in the library.Is this the Huaguo student?Sure enough, Huaguo students are very powerful. No wonder Huaguo and Neon Nation can be compared, and there is a tendency to surpass Neon Nation.

"Yan Jun, you really... like studying so much."

"Didn't we come to Stanford University just to study?" An Yan said with a smile, "Could it be that you came to Stanford University for vacation?"

"Of course not." Kai and Shinya shook their heads and said, "I just didn't expect Yan-kun to love learning so much. You seem to be good at math, Yan-kun."

The faces of Kai and Shinya flushed a little, An Yan looked a little strange.How come you blushed while talking?

They didn't seem to talk about any strange topics, why is this guy blushing.Just like an apple, it is quite transparent red.

"Cough." Kai and Shinya coughed a little embarrassedly, "I wonder if Yan-kun has done any research on analytical number theory?"

"Huh?" An Yan raised his brows, "I still have some understanding of number theory, why, do you have any doubts about number theory?"

"There are indeed some." When talking about this, Kai and Shinya slowly pushed their draft paper in front of An Yan and said, "That's what it is."

"Let me see." An Yan looked at the appearance of Kai and Shinya, and thought it was a little funny, but he still took the draft paper and read it——

[Let φ(m) be the Euler function, where m is a positive integer, which is a very important number theory function, including the form of the Euler function:

φ(a1a2...an)=k(φ(a1)+φ(a2)...+φ(an))]

When An Yan got this question, she raised her eyebrows, "It's a number theory function, right?"

"Yes." Kai and Shinya said with a smile, "I still don't know how to do this question. This is an assignment given to us by the professor. I have been in the library for two days, and I still haven't found out how to do this question. method of question."

"Let me think about it." An Yan thought for a while, staring at the question, and then took a pen to write on the draft paper.

【

……

For any positive integer m, when m>2, φ(m) is even...

There are positive integer solutions (x, y, z) = (58, 3, 4), (58, 4, 3) ... (5, 43, 4), (5, 49, 4), (5, 43, 6), (5, 49, 6)

Since φ(xyz)=7(φ(x)+φ(y)+φ(z)

……

When φ(y)φ(z)<7.

When φ(y)φ(z)<7, there is φ(y)φ(z)≤6. After calculation, there are integer solutions (x, y, z)=(58, 3, 4), (58, 4, 3), (29, 4, 4), (29, 4, 6), (29, 6, 4)

……

When φ(y)φ(z)>7.

When φ(y)φ(z)=8, there are φ(y)=1, φ(z)=8 or φ(y)=2, φ(z)=4 or φ(y)=4, φ (z)=2 or φ(y)=8, φ(z)=1.

When φ(y)=1, φ(z)=8 or φ(y)=8, φ(z)=1, then 7(φ(y)+φ(z)) is an odd number, so φ(xyz) 7φ(x) is an odd number...②]

After finishing writing, An Yan returned the draft paper to Hai and Shinya and said, "Look, if there is anything you don't understand, just ask me." Then, he turned his head to think about his stuff again.

Kai and Shinya gave a thumbs up and said, "Yan-kun, you are really amazing."

An Yan smiled, but did not speak.

"By the way, Yan Jun, do you come to the library every day?"

"Recently, I should be in the library every day." An Yan thought for a while and said, "I have been studying the Hilbert space recently, and I basically don't go to the laboratory. I should read books in the library every day."

"What a coincidence, I also come to the library every day." Kaihe Shinya said with a smile, "Please give me your advice, Yan-kun."

"Oh, please give me your advice." An Yan, Hai and Shinya flattered each other for a while, and then he started to do his own thing.The sea and Shinya next to him also started to study by themselves.

Time passed slowly, and the sun that originally shone on their desktop gradually set.The library has been very quiet, and the number of people in the library, which was originally full, gradually decreased until the lights came on.

Kaihe Shinya moved his body, turned his head to look at An Yan, he found that it seemed that An Yan was still frowning and writing something on the draft paper.This guy is really amazingly persistent. He saw this guy doing this a few hours ago.Wasn't his body stiff at all?Doesn't this guy feel tired at all?

What kind of monster is this? It's so terrifying.

Kai and Shinya took a deep breath, and said softly to An Yan, "Yan-kun?"

He called several times, but An Yan didn't answer him.Seeing that An Yan was still doing Fourier series, he gave up the idea of ​​asking An Yan to have dinner together.Thinking that if possible, after he finished his meal, he would come to see if Yan Jun was still eating here.

"Yan Jun, shall I go to eat first? Please take care of my things for me." Knowing that An Yan would not answer him, Kai and Shinya put their things on the desk, ready to get up to eat.

Unexpectedly, An Yan actually responded to him, "Well, you go, I'll watch for you."

"..." Wait, so is Yan Jun able to speak or not?Why did he feel that Yan Jun deliberately didn't want to talk to him?Is it his illusion?

Why didn't you talk just now, and now you start talking again?Could it be that Lord Yan disliked him for talking too much?After thinking for a while, neither Kai nor Shinya could figure out exactly what An Yan was thinking.

Forget it, he'd better go eat first.

But before leaving, Kai and Shinya asked An Yan again, "Yan Jun, are you really not going to eat with me?"

"No need, I'll just go eat by myself later. I'm counting to a critical moment now..." An Yan's voice fell, and she didn't continue talking.Kai and Shinya didn't let An Yan really go to eat with him.Since people have something to do, let them finish their work and talk about it.

So Kai and Shinya left the library directly to eat, while An Yan lay on the desk and continued to do her own things.This calculation seems to be a bit difficult, no, it is not a difficult problem.This should be calculable. He lay on the desk for several hours without changing his movements.

Probably because of his high concentration, he didn't feel tired at all, maybe exhausted.

Just because of the excitement, his face looked a little beaming.A delicate and beautiful face seemed a little distorted.

Fortunately, Stanford University can be regarded as a place where geniuses gather, although An Yan's face looks a bit strange.But this group of people has seen too much, maybe the person who went crazy on the side of the road and ran to other places like the wind is a certain professor who made a result or came to an inspiration.

Compared with that group of people, An Yan's beaming appearance is nothing short of insignificant.

Compared with those people, Stanford students are simply not strange.After glancing at An Yan, he turned his attention to other places.

There is only a thin line between a genius and a lunatic, and everyone doesn't care what An Yan is doing.Stanford is big and can accommodate a lot of talent, there's no doubt about it.As one of the top universities in the world, Stanford students also have their own pride.

Although An Yan looks like a genius, he has been writing, drawing and calculating over there.But the rest of the students didn't say much, and there were fewer and fewer people in the library.An Yan stayed in the library for a long time, and when Kai and Shinya returned, it was already nightfall, and the entire campus was shrouded in lights.

The night was long, Kai and Shinya sat next to An Yan and said curiously, "Yan Jun, don't you really need to eat something?"

"No need." An Yan shook his head, "I'm going to the last step of the calculation, and I don't want to eat anything right now. After I finish the calculation, I can eat something casually." After An Yan finished speaking, Go ahead and do your own calculations.

Kai and Shinya next to him sighed softly, he had never met a student from Huaguo.Or it means that there are no Huaguo students in his class, but Huaguo students are well-known at Stanford University for their hard work.

And this An, working so hard as a graduate student, could it be that the professor squeezed her too hard?

Kai and Shinya wanted to avoid the professor who was too ruthless in advance, so they said, "Yan Jun, your subject was given to you by the professor? Do you want to finish it within the specified time?"

"There is indeed a deadline, but my project is drawn up by myself. The professor doesn't have much control over this aspect." An Yan thought for a while at Kai and Shinya, "It's just to complete some professional projects within five years. Projects and papers are enough."

"Oh?" Kai and Shinya are now particularly curious about who An Yan's professor is.

It sounds like An Yan's professor is quite kind, not someone who oppresses students.He asked curiously, "Then Yan Jun, who is your professor?"

"Professor Hudson." An Yan said with a smile, "High energy physics."

"Huh...Professor Hudson?" Kai and Shinya's expressions were very exaggerated, "Is that the professor of high energy physics, the one who doesn't seem to have recruited students recently?"

"Oh? Do you know Professor Hudson too?"

"Of course." Kai and Shinya said dumbfounded, "Professor Hudson is a very famous professor after all, even when I was in Neon Country, I could often hear Professor Hudson's name.

"I see." An Yan nodded slightly, but did not continue speaking.But Kai and Shinya continued, "It's great, Professor Hudson doesn't accept students anymore. I didn't expect you to be a student of Professor Hudson."

After the two chatted for a while, they began to do their own things, and did not continue to chat.

Until late at night, Kai and Shinya had already fallen asleep on the desk, and An Yan looked at his own things and almost finished writing.Only then did he pack his things, and turned his head to look at Kai and Shinya.The guy actually fell asleep, smiling and shaking his head.An Yan gently shook Kai and Shinya's body, Kai and Shinya slowly opened their eyes, and said with some confusion, "Huh?"

"Go back to the dormitory and sleep, you are already asleep here." An Yan sighed and said to Kai and Shinya, "Look at you now, you are too sleepy."

"Oh." Kai and Shinya packed up their things and left the library with An Yan.He said to An Yan, "Yan Jun, I am very glad to meet you today."

An Yan smiled and nodded, "I usually stay in the library until this time, or later, if you have anything to do, you can come to me directly, there is no problem."

"Then thank you Yan-jun." Kai and Shinya bowed slightly to An Yan, "Yan-jun, I will go back first."

After speaking, Kai and Shinya turned and left directly, after An Yan shook his head and smiled.He also returned to his dormitory. At this point in time, it should be daytime in Huaguo.

[An Yan: I just returned to the dormitory from the library, and I was about to find something to eat. How was your review?After eating, I may have to read a book for a while before going to sleep.Today in the library, I met a neon Chinese from the mathematics department, who seems to be called Haihe Shinya.I always feel that people from Neon Country have a kind of temperament called Secondary School...]

After sending a message to Gu Weize, An Yan found some dry food to eat.

After eating, he opened the book and continued to work on his project.

Of course, such a thing as a subject cannot be accomplished overnight.He needs to be cautious, especially this kind of calculation is too complicated, and also needs to do the subject of field theory, even more so.

He calculated the time on the draft paper for a while, but Gu Wei didn't send a message.Probably Gu Wei is also busy, put down the pen in his hand.

An Yan went straight to sleep.

…………

When he woke up the next day, An Yan washed up, went to have breakfast, and came to the school library.Then do the Fourier series that I couldn't finish yesterday.

The draft paper was placed on the desk, and he was still thinking about whether he should bring the computer with him tomorrow.If you have a computer, writing a thesis is also much more convenient. After all, the thesis also needs to be filled bit by bit.He still has five years at Stanford University, five full years, and writing two papers is indeed enough.

Regarding the gauge field theory, he has nothing to ask Professor Hudson yet.He followed Professor Benson before and did some research on gauge theory.

In addition to Fourier series, he had to do some stuff within functional analysis.The calculations are getting more and more complicated, but An Yan seems to think that this is still quite a fun thing.How should I put it, it seems to be - this thing looks very difficult, but after doing it seriously, An Yan feels that it is not so difficult.

Although there are not many students in the library, all of them are working very hard to absorb the knowledge in the books.

Looking at the students who were reading, An Yan also took a deep breath and started to do her own thing.

This formula should be correct, the next step... Well, let me think about it, what should I do next... An Yan held the pen, dragging her chin, thinking about how to write next.

Kai and Shinya also entered the library at this time. After he came to the library, he looked around.In the corner, I saw An Yan looking out the window. The sun shone on An Yan's body, and the blazing sun made Kai and Shinya a little bit unable to open their eyes.He muttered, "Why is it in the corner again?"

Just after class, he thought that he still had a lot of questions about number theory that he needed to continue to study.He decided to go to the library to continue his studies, but he didn't expect to meet An Yan again after looking around in the library.Sure enough, he was in the library every day.Maybe this is the difference between graduate students and undergraduate students?Kai and Shinya muttered something, and then walked up to An Yan with a book.

Sitting next to An Yan, he saw that An Yan seemed to be still thinking about something.

Stretching his neck curiously, he wanted to see what An Yan had researched today, tsk, this... He found that he seemed to be a bit confused.Forget it, he should continue to read his own number theory, he hasn't even learned the number theory, why should he read other books.

Shaking his head, he took number theory and began to write.

After thinking for a while, An Yan finally started to write, writing quickly on the draft paper.Hai and Shinya next to him are no longer surprised. Yesterday he saw An Yan staying on the desk for a whole day, and it is estimated that An Yan is the same today.After thinking about it, he should do his own thing.As a student of the mathematics department, he is not as good as a student of the mathematics department in mathematics.

This is somewhat unreasonable, even though the physics student is a graduate student, An Yan barely moved throughout the day, writing his own affairs on the desk all the time, when it was dark.Kai and Shinya had left without knowing when, An Yan stretched his waist, and walked towards the dormitory with his thesis.

By the way, he studied for two days, and he forgot that Professor Constantine sent him an email.He had to go back tonight to see what email Professor Constantine had sent him.

After returning to the dormitory, turn on the computer.Putting his phone aside, he opened Professor Constantine's email.

[Ann, I'm sorry I sent you another email, it's still about graphene.I have studied your graphene configuration for a long time, and there is no mistake in mathematical logic.And it is also very useful in application, but I still want to raise a question, regarding the configuration of graphene, how should we perfectly make your configuration and apply this configuration to other technological products Woolen cloth?

I don’t know if you have thought about this question. I calculated it before, and your configuration is a very stable configuration. Because of this, it seems a little inappropriate to put this configuration into other technological products... In other words, it makes me a little confused about how your configuration can do it.

Also, I calculated some data, which are the results given to me after Han Qiu's experiment.I heard that you are going to study at Stanford University soon, and I don’t know if there is any chance to continue to cooperate in the future......】

After reading the email from Professor Constantine, An Yan was stunned for a moment, then thought for a while.

The corners of his mouth turned up slightly, and he took the computer and began to send back messages to Professor Constantine.

[Professor Constantine, I have received your message, and I have also read your data.It can be seen that Han Qiu has a certain and in-depth knowledge in physical chemistry.

But my configuration is not made because of the graphene battery, it is based on the properties of graphene and a conclusion drawn after rigorous mathematical model calculations.We may temporarily make it the most stable state of graphene. In this state, although it cannot be easily integrated with other high-tech products, I believe it.If this configuration of graphene is added to other high-tech products, the stability will be very high.

When I was doing configuration before, the first consideration was the issue of stability.Hope this clears up your doubts. 】

After finishing writing, An Yan breathed a sigh of relief.Hit the send button, then shut down the computer.

Taking a look at the phone, Gu Wei is probably still reviewing. He didn't read his messages or reply to any messages. If that's the case, then he should continue studying.

Opening the document, An Yan finalized the topic of the thesis on the computer, about the gauge field theory and the intersection of Hilbert space and Angler space.

After finishing writing, he looked at the computer and thought for a while.I still haven't come up with a clue, so let's continue with my own calculations for the time being.

The computer was flickering, and An Yan was writing his calculation formula beside him.

…………

In the New York laboratory, a group that is working on gauge field theory, suddenly someone said, "Is this thing really capable of being made by humans?"

"What's wrong?" Rick raised his head and looked at the guy who spoke just now.

"My God, this doesn't seem like something humans can make." The man said through gritted teeth, "Are we really going to keep doing this?"

"Why not?" Rick looked at the man and said, "Since Ann is going to do it, we have to do it faster than him. I don't think Hilbert space and gauge field theory are so easy to do?"

"What's more, he's just a little clear about his Anglerian space. Let's hurry up and have a great chance to make this paper before him." Rick said with a smile, "I really want to know, we will After his project is done, what kind of expression will this guy have."

"Think about it, it's really a wonderful thing."

The author has something to say: ①: Excerpted from Baidu Encyclopedia's Grand Unified Theory ②: Excerpted from "Discussion on the Integer Solution of an Equation of the Number Theoretic Function φ(m)" by CNKI