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Chapter 207 Worker wants to do his job well

Early the next morning, after breakfast, Qiao Yu strolled leisurely towards the library.

Passing by the playground, Qiao Yu stopped to look for a while.

A group of young boys and girls are undergoing military training. Um... wait, if they started school at the age of six, these young people undergoing military training seem to be the same age as him, and most of them may even be older than him.

Thinking of this, Qiao Yu felt a little unhappy.

There really is no fairness in this world.

Obviously, everyone is the same age, and these younger students just need to study hard and achieve relatively good results and get a good GPA.

They can enjoy life in the rest of the time. They can choose to have a passionate love affair; they can join various clubs to cultivate their interests and hobbies while expanding their social circle; they can also sign up to be an exchange student...

No one puts pressure on them, and no one even cares about them. They can do whatever they want in a colorful university life!
But he was different.

Every day when he opens his eyes, he does research, research, and research. If he slacks off a little, his supervisor will pull him out and give him a good scolding.

Not only that, he also has to be busy with his own business. Chief Engineer Yu calls every day, just to say hello...

It is clear that Xiyu Technology's server can be used for computing, although there are still some minor problems, but Brother Chen's lover is in charge of it, and he still has to bother her every day.

Fortunately, Qiao Yu knew who was the culprit behind all this...

Blame it on Frank!

If it weren't for this irresponsible man, he would probably be able to live the same life as these younger classmates and enjoy a wonderful youth life instead of carrying the burden of life on his young shoulders.

Thinking of this, Qiao Yu wanted to make Frank's life a little more difficult. He had to find out what direction this guy had chosen for his new subject...

This is not difficult.

After all, he is now a Fields Medal winner, has a high reputation in the international academic community, and has many friends in the international mathematics community.

When the time comes, I can find a reason to express my concern to Professor Frank and should be able to get the news.

He was not afraid of exposing his relationship with Frank. Giving birth without raising a child would not be supported by public opinion in any relatively civilized system.

I walked to the library with a dull look on my face, and Frank had already been imagined in thirty-six different ways in my mind.

There aren't many people in the library during the holidays, but there are quite a few too.

Many graduate students also have the need to search for literature, especially those majoring in social sciences and humanities. They spend most of their time searching and reading various literature materials.

There is nothing we can do about it.

For example, the famous History Department of Yanbei University. We can't let historians invent and create history.

All research can only look for clues in the vast sea of ​​historical records. Its value can only be reflected in the excavation and interpretation of historical truth.

If I don't have to spend time in the laboratory, I can only spend time in the library.

As for Qiao Yu's purpose of coming to the library, it was to find some literature on quantum physics.

Since we are going to do quantum computing simulation, studying quantum physics is naturally an essential learning content.

Different from the research methods of ordinary people, what Qiao Yu is going to do today is critical research.

For example, functional analysis, quantum Fourier transform, and of course Hilbert space.

After all, in the mathematical framework of quantum physics, Hilbert space is almost indispensable.

Hilbert space plays a vital role in the representation of quantum states, the operation of operators, and the construction of measurement theory.

The reason is very simple: in quantum mechanics, the possibilities of quantum states are infinite, which determines that the inner product space in which they are located must be infinite-dimensional.

It is well known in mathematics that if a parameter tends to infinity, all physical states must still remain within the defined space, which means that the space needs to be complete.

That is, the limit of any convergent sequence still belongs to this space. This property corresponds to the completeness requirement of Hilbert space in functional analysis.

However, from Qiao Yu's perspective, Hilbert space has too many shortcomings.

The first is the problem of physical interpretability. The quantum state is a vector in the Hilbert space, but actual measurement can only obtain probability distribution rather than directly obtain vector information.

At the same time, the problem of wave function collapse has no strict mathematical description in Hilbert space. We still need to refer to the Copenhagen interpretation and other explanations.

When facing infinite-dimensional problems, we need infinite-dimensional Hilbert space, and mathematical operations in these spaces will face a lot of difficulties.

For example, the scattering state requires the use of Lie operators, and the vacuum fluctuation problem in quantum field theory requires mathematical tools such as distribution theory, which are beyond the scope of traditional Hilbert space.

Other problems include measurement and nonlocality, the incompatibility of gravity and quantum mechanics. Most importantly, Hilbert space is incompatible with the random matrix tools he needs to use...

In short, Qiao Yu simply couldn't imagine how those people who worked in mathematical physics could tolerate a core mathematical tool for describing quantum systems being so difficult to use.

He had not done research in this area before, so he didn't mind what tools these people used. But now that he was going to start research in this area, he naturally had to upgrade his tools.

After all, even the ancient Chinese understood that if you want to do your work well, you must first sharpen your tools.

So, Qiao Yu found a pile of books in the library, began to flip through them quickly, and then referred to his notes to start thinking about what improvements the new spatial framework needed compared to Hilbert space.

Of course, this spatial structure is still based on the generalized modal axiom system. After all, even foreign mathematicians and physicists have seen the advantages of this system, so Qiao Yu would certainly not fail to see it.

The new mathematical framework created by this system must avoid the problem of probabilistic interpretation of Hilbert space, solve the problem of non-locality, and allow finite-dimensional approximation.

At the same time, it needs to be upgraded to modal arithmetic algebra to solve infinite-dimensional operator problems and optimize measurement theory. The ideal state is to be automatically compatible with quantum field theory.

In addition, the measurement problem must be taken into account. It is best to be able to perfectly describe the quantum field. This will be directly applicable to the study of quantum gravity and avoid the incompatibility problem of Hilbert space.

At the same time, it also allows the study of the topological evolution of high-dimensional quantum states, no longer restricted by spatial dimensions.

In this way, the subsequent work will not need to endure the various defects of Hilbert space.

Yes, although there is still no final answer on whether the project can be approved, Qiao Yu has already started making preparations.

Anyway, he doesn't need anyone else's cooperation in these purely mathematical theory works.

After reading the literature for two hours.

Qiao Yu opened the paper editing software on his computer and wrote a title for his current research.

“Topoloization of Quantum States Under the Generalized Modal Axiom System: Construction and Applications of the Qiao Yu Quantum Modal Space“

Translated into Chinese, it means "Topologicalization of quantum states under the generalized modal axiom system: construction and application of Qiao Yu quantum modal space".

Yes, Qiao Yu unceremoniously named this new system after his own name.

Although Hilbert did not do so at the time, he only proposed the concept of a complete inner product space, but the name Hilbert space was given by later generations based on his research.

However, Qiao Yu felt that this was because Hilbert had not yet perfected the entire space system at that time.

For example, the completeness of L space was proved by Reiss in 1912. It was not until 1927 that the famous John von Neumann formally introduced the term Hilbert Space.

But his situation is different. Because he can prove the completeness of Qiao Yu's modal space completely by himself. Moreover, he can directly prove its advantages over Hilbert space, and there is no need for future generations to improve it.

So there is no problem with him naming it after himself. As for whether this seems to be a bit immodest...

That's right!
After browsing the Internet yesterday, Qiao Yu felt that it was necessary to correct some of the stereotypes that foreigners had about Chinese people, and to change the traditional inertial thinking of the older generation.

Being humble is something you need to do when you don't have the strength. If he is so powerful and still humble, then isn't that a waste of strength?
I created a complete spatial system, and I named it by myself. Are you unhappy about that? Then just don't use it when doing related research in the future.

There’s nothing I can do, I’m just so domineering.

Not to mention those foreigners, Qiao Yu felt that no one could control him as long as his mentor, master's uncle and mother were not around.

Of course, every young person may have this illusion at some stage, and even Qiao Yu's case is not serious. A truly rebellious teenager dares to act lawless even when his parents are around, and the sky is not as big as him.

If we take Qiao Yu's upbringing into consideration, he can be considered a person of both good character and good academic performance no matter where he is in the world.

When Qiao Yu started to write down his thoughts, the phone suddenly rang in his pocket.

Because of the recent popularity, Qiao Yu wore a mask and chose a corner seat in the library study room. He was afraid that he would be recognized, which would be too troublesome.

Who would have thought that forgetting to mute his phone would make him the most handsome and most popular person in the study room.

When a series of disgusted looks were cast in his direction, even someone like Qiao Yu, who didn't really care about other people's strange looks, couldn't stand it.

Well, it’s mainly because the moral bottom line is too high.

So Qiao Yu quickly took out his cell phone, glanced at it and hung up the call, turned the phone to do not disturb mode, then closed his laptop, stood up and walked out of the library.

Oh, Director Tian is so mean. He didn’t even bother to give me a warning before making the call.

……

After walking out of the library door, Qiao Yu took out his cell phone and called Tian Yanzhen.

Sure enough, just as he walked out, Director Tian called him again.

As soon as the call was connected, before he could say anything, the person on the other end asked, "What are you busy with? Why did you hang up the phone?"

"In the library's study room, there were quite a lot of people there just now. Sorry to answer the phone, Director Tian."

"What are you doing in the library? Don't you always ask for your own study room? Isn't it enough for you to take away all my books?"

"Find some information and literature on mathematical physics and quantum physics. I promised you that I will work hard on the project when I get back. I must keep my word."

This reason is impeccable.

Although Tian Yanzhen has a large collection of books, there are indeed few books and documents on quantum physics research.

"Well, just be careful. By the way, I'm calling you with good news and bad news. Which one do you want to hear first?"

From Director Tian's words, Qiao Yu could tell that the good news must be extremely good, and the bad news was probably not that bad.

If there is really bad news, my mentor will not be so relaxed. After all, he is a treasure now.

If there is really bad news for him, it would be tantamount to slapping the face of Yanbei and Huaqing University.
The news couldn't even reach him, so his mentor and his grandfather would probably join forces to quarrel with others.

"Then let's hear the bad news first."

"The bad news is that your plan to form your own team for your new project has failed."

After hearing this, Qiao Yu immediately knew what the good news was.

Alas, you are so old, but you still like to play this kind of jokes.

"No, Director Tian, ​​this is just news! The good news is that my project has been approved, right?"

“Like to show off your intelligence! Yes, although it has not been officially announced yet, I have received news that after the third meeting of your project, none of the thirteen experts raised any objections.

It was passed unanimously. Although I don’t know the specific content of the discussion, it is said that there was no debate at all.”

Qiao Yu was a little speechless.

He can even know whether there is anyone opposing it. Let’s put it this way, if he is an expert attending the meeting and guesses that the supervisor of the project review knows who is opposing it, he will also vote in favor.

After all, this mentor is not only one of the leaders in the Chinese mathematics community, but his student has just won a Fields Medal, and he is at the peak of his career.

Of course, Qiao Yu didn’t say that.

"That's great, Director Tian! It's not easy! I've worked so hard for so long and finally applied for a national natural science project! It was so hard! This should be considered a chance to see the light after waiting for so long, right?"

After hearing what Qiao Yu said, the man on the other side was silent for a long while before he spoke: "Just tell me this, don't spread it around outside, or else people will envy and hate you. What do you know about waiting for the clouds to clear and the moon to appear when you are seventeen? You are just misusing it!

Besides, do you think everyone can enjoy the privilege of being able to apply for a project whenever they want? How many people apply according to the rules, but their applications are rejected before they even make it to the review committee. What hardships have you gone through along the way?"

Qiao Yu was not quite convinced by this.

After all, he was an outstanding talent who had been rejected twice in his application for national natural sciences and had scored full marks in Chinese in the senior high school entrance examination, so the poem he used was absolutely accurate.

My own tutor is a mathematician, what does he know about poetry? He actually criticized him...

But before he could express his opinion, the tutor's voice came from the phone again.

"Oh, by the way, I have something else to tell you. You don't have to take other courses in the graduate stage, so you have plenty of time for research!

But I have prepared a special political science class for you, which you must take. There are two classes every Tuesday and Thursday, and it is very important. "

"No, Director Tian, ​​others may not know how high my ideological awareness is, but don't you know? To be honest, when I took the high school entrance exam, I got the highest score in the class for morality and rule of law."

"I know. I checked your high school entrance exam scores. Apart from the biology and geography exams in the second year of junior high school, your Morality and Law scores were the lowest among all the subjects. I don't think I'm wronging you, do I? You even got full marks in Chinese and History!"

Qiao Yu suddenly found that he couldn't refute...

"Don't worry, I've checked the course schedule for you! It's a course about China's community of shared destiny. There's nothing you need to memorize, and there's no exam required.

Most of the time I learn some history, watch movies, etc. It's very relaxing. Just think of it as taking four hours a week to relax your brain."

"No, so according to you, this class is specially for me? It's a small class, and I go to class alone?" Qiao Yu asked curiously.

"Of course. But it depends on your opinion. If you don't mind being watched during class, you can notify the Academic Affairs Office to adjust it to a public class and put it in the registration system."

Qiao Yu thought about it and felt that there seemed no need to be so eccentric.

"Haha, I'm kidding, Director Tian. It's fine to go to class alone. Okay, when the class schedule comes out, I promise to arrange my time well and not skip a single class. By the way, what about my project team? If I can't choose my own team, who will arrange the team members?"

"There will be recommendations, and then you will make the selection. When the official announcement is made, someone will naturally come to talk to you, and then you will know. I can only tell you that the higher-ups attach great importance to this project, and the ones selected for you are all elite soldiers and strong generals."

Hearing this, Qiao Yu was immediately excited.

Taking it very seriously means that the funds he applied for must be in full. Although he did not plan to use the money to improve his personal life, having money can always make others work better, right?
As long as this project can be completed, he will be stable and can enjoy the credit for a long time!

Of course, Qiao Yu felt that he also had to work hard on his part and make the tools as soon as possible. He couldn't wait until the project was approved before his team members had no suitable tools to use.

As for those scientific research teams abroad that are conducting research in the same direction as him, Qiao Yu is not worried at all.

He didn't even bother to ask Lao Xue how the talks went.

To make an inappropriate analogy, it's like a war in ancient times. The people on the other side are using cold weapons like broadswords and red tassel spears, while they are using rifles or even 50mm submachine guns. How can the other side fight back?
I don’t have that ability!

After hanging up the phone with Director Tian, ​​Qiao Yu was too lazy to go back to the library. He excitedly sent a WeChat message to Qiao Xi and headed straight to Huaqing.

He planned to share this good news with Qiao Xi.

When he arrived at Huaqing and opened the door, Qiao Xi had already returned home and the table was filled with food from the cafeteria.

"Why are you suddenly thinking of coming to Huaqing instead of doing your homework in Yanbei?"

"I am now a direct doctoral student at Huaqing University, so of course I have to stay at Huaqing University. And I have good news today."

"Oh..." Qiao Xi responded indifferently, and then said calmly: "By the way, I wrote a paper. Since you are here, you can help me take a look at it this afternoon and revise it."

"Ok?"

(End of this chapter)