Chapter 269: The Mountain of Higher Mathematics

For Doudou to be inappropriate, in fact, everyone has long been used to it.

It's just that it happens to the Internet or others, you can watch it with the mentality of watching the excitement, and even take the initiative to support Doudou.

But when it happens to yourself, it will somewhat make people's mentality and faith collapse.

In short, a feud!

Originally, everyone thought it was very cute, but after today, only hateful remains.

But the biggest surprise was Director Qiao's completion of a series of microscopic mathematical structures.

The five unlucky students who were still in the introductory stage couldn't even figure out how the tutors, who stayed in the office every day without data to back them up, made these things in such a short period of time.

Is it really all imagination?

As for the specific description of the theory of contained quantum, they have naturally seen it.

To be honest, there is a lot of prior knowledge required, which is why it would be difficult to explain in just two hours of presentation.

For the five people who can't even finish the basic questions now, it's really a bit out of the outline.

Walking out of the yard in frustration, several people couldn't help but sigh again.

"If all of this can be completed, there is no suspense about this year's Nobel Prize in Physics, right?" Li Chengcheng sighed.

"Huh...... Do you still have to wait for these things? The discovery of gravitons this year has already killed all suspense. If this award is not awarded to our Director Qiao, there will still be a fart of credibility. The only suspense should be that Director Qiao can win a few Nobel Prizes this year. Speaking of which, if the chemistry prize is not given to the inventor of the material model, I am also very dissatisfied. ”

Wang Yu immediately answered.

"Yes, yes, it's an honor to think about it, the five of us will become five stains on the academic road of the great Qiao Dao. Maybe it will be remembered by everyone in the future. It's quite gratifying to think about it, and finally proves that Director Qiao is not omnipotent. ”

"Fan Yuming, you're enough! Beanie is cool, isn't it? ”

"It's not a question of whether it's cool or not, it's just a fact...... Only by accepting the fact that we are weak chickens can we have hope of nirvana. ”

"Huh...... Sorry, there can only be a maximum of two stains. You and Wang Yu are the students of Director Qiao, and our tutor is Professor Li. So you two are slowly discussing how to be a shining stain, and we'll go first, bye. ”

"Good luck!"

"Don't send it!"

"Phew!"

……

When there were only two people left outside the small courtyard, the two who loved to quarrel the most rarely did not quarrel, but just exchanged a helpless look.

"Forget it, forget it, the stain is the stain. I'll go back to my homework first. I only did half of it last week, and I still have half of it left. ”

Wang Yu shook his head and said a word, then raised his head to look at the small building where Qiao Ze's office was located, and suddenly found that there was a figure in the corridor on the third floor, standing there and seeming to be looking at the two of them, subconsciously shrank his head, and said, "Damn, Director Qiao is looking at us, I flashed first." ”

"Same flash, same flash, or let's do the question together today, maybe we can mention each other."

"Uh-huh, let's go, old place."

……

At this time, it was indeed Qiao Ze who was standing in the corridor on the third floor.

However, his attention was not on the students below, but on how to get them on the right track.

The situation is a bit special.

All five students are directed to training.

And the content of targeted training cannot be thrown to Li Jiangao.

Li Jiangao still insists on doing research work on group theory, and he is not too interested in the supercoiled algebra and transcendental geometry pioneered by Qiao Ze.

Of course, it can also be understood that Li Jiangao has a clear understanding of his own ability and is unwilling to waste time in places where he may not have much achievement in his life.

Soon, a name came to Joze's mind.

Speaking of which, many of this big guy's students are more famous than him, and he thinks he knows how to teach students.

That's right, José was thinking of Lott Dugan at this time.

The Princeton School of Mathematics dean has produced three Fields Medal winners, which is unique in the field of teaching. Although this also has something to do with the student's talent, Qiao Ze feels that as a mentor, he must also have a knack.

José never thought that there was such a thing as luck in this world.

If you had to give a definition of luck, it would be the right choice.

Everyone says that a pig can fly on the tuyere, or that it is lucky to catch a certain tuyere.

But in fact, if you don't have extraordinary foresight and courage, no matter how good luck you are, you can only pass by.

In hindsight, anyone would do it.

But even if it is the illusory hope of winning the jackpot by buying a lottery ticket, at least it is due to the fact that you dare to take out real money to test the moral standards and professional ethics of lottery administrators.

So Qiao Ze took out the phone and dialed it.

The call was answered quickly.

Counting the time difference, it was only more than nine o'clock in the evening on the other side, and it should not have slept at this time, so it would not disturb the rest.

"Ha, Joe, if I'm not old enough to lose my memory, this should be the first call I've ever received from you. Oh my God, can I say I'm honored? Let me guess why you called me? Haha, I guess it's because you got a call? 2025 Breakthrough Prize in Mathematics Prize Winner, congratulations to Joe! ”

The old man has been a little noisy lately, and as soon as he opens his mouth, it is a long sentence, and Qiao Ze doesn't get the point at all.

"What is the Breakthrough Prize?" Qiao Ze asked.

"Forehead ......"

Apparently the other side was stunned.

He hesitated for a moment before he spoke, "So you didn't call me to thank you for this?" ”

Qiao Ze thought for a moment and said, "If you need to thank someone instead of yourself to win a certain award, then this award doesn't mean anything to me, does it?" ”

This is very reasonable, and after holding it for a long time, a sentence came out: "I have to say, you are right, Qiao Ze." The most important thing for any award is to thank yourself. So, what do you have to do with me? ”

Qiao Ze thought for a moment and said, "I recently completed the proof of the mathematical structure of the supercoil coordinate system and extended the quantum field theory to multiple dimensions. In other words, under this theory, the wave function of a particle is no longer just a function of three-dimensional space and time, but needs to be defined in a higher dimension.

For example, the wave function containing gravitons needs to be described in a four-dimensional and higher-dimensional space, that is, the wave function Ψ of gravitons is in an n-dimensional space, where n is greater than 4. And from this I corrected the many different manifestations of quantum entanglement. In a multidimensional space, the entanglement between particles involves more dimensional interactions.

At the same time, based on the above theory, the interaction mode of gravitons on the quantum scale is derived. It also includes the interaction between gravitons and Higgssons, and proves that the direction of the gravitational field can be adjusted mathematically by changing the axis of the graviton-containing spiral. I'm not so sure if I can reference to the physical level.

But if we can prove this through the laboratory, I think it may be of great help to your research on the n-body problem. ”

In unpretentious language, Qiao Ze briefly introduced the results of his recent research.

There is no confidentiality involved, because it is all purely mathematical derivation, which plays the role of going from 0 to 1.

As for how to verify it, and how to go from 1 to 100, that's not something that a mathematical theorist needs to think about.

As Qiao Ze said, the translation is that he mathematically proves that the gravitational field has a direction, and the direction is determined by the spiral axis of the graviton, so if you find a way to control the axis of the spiral, you can adjust the direction of the gravitational field.

If physicists prove this through experiments, it means that human civilization will be able to use gravity.

The theory sounds simple, and it could take hundreds of thousands of years to realize.

That's the beauty of theoretical research, it points in the right direction, and then no one knows how many years later someone will suddenly develop a tool that makes everyone exclaim, so that's okay?

It also made the other side fall into thinking about the reality of the world.

Lott Duggan has always felt that there is a limit to manpower.

It's like the world record for the 100-meter dash is 9.58 seconds, and humans can imagine that maybe in the future, if we continue to evolve and add more scientific training measures, we can improve this time to about 9 seconds, but it is absolutely impossible to improve it to 1 second, right?

In the same way, doing theoretical research, there will be a flash of inspiration at some point, and it is understandable to open up a theory, but the inspiration can't always flash, right?

How long did it take to get the Yang-Mills equation and solve the mass gap assumption to the advent of transcendental geometry and supercoil coordinate systems?

It's shocking enough that the expected quantum model with a quantum model can be detected as true by CERN, but how long has it been since more specific mathematical structures have been completed?

"Joe, really, thank you for sharing this with me. So what do you mean? Lott Dugan, who had finally come to his senses from the chaos, asked cautiously.

He no longer dared to think that Qiao Ze would submit his paper to the Annals of Mathematics.

Now Xilin Digital Research Institute has its own journal, and Qiao Ze's recent research on this area has written Chinese papers, in other words, the young man opposite really doesn't care whether the world academic community recognizes his theory.

The most important thing is that he agreed to submit a paper to the "New Discoveries in Mathematics and Physics" of Xilin Institute of Mathematics last time, but until now his paper has not even finished the review.

"I want to say, if you are really interested in the n-body problem, maybe you can come to Xilin to continue your research. I will help you as much as I can, both financially and academically. Correspondingly, I want to learn from you how to teach students, and I have encountered some difficulties in this regard. ”

It's still proper Joe's style.

Put the quid pro quo directly on the bright side.

Anyway, now the Xilin Institute of Mathematics is not short of money, only people.

Although the n-body problem is a macro problem, the focus of Qiao Ze's work in the next stage is to find the unity of the micro and the macro.

The theory of supercoiled coordinate systems could have been imagined as a bridge between the microcosm and the macrocosm. This theory may provide a completely new perspective that allows both quantum phenomena to be described and the behavior of the universe and gravity explained within the same theoretical framework.

This is also the reason why Qiao Ze started with the graviton to make a mathematical structure.

As long as everyone accepts this mathematical structure, it means that everyone also accepts that the supercoil coordinate system provides everyone with a multi-dimensional mathematical framework that will allow scientists to describe physical phenomena from quantum particles to galaxies in a unified mathematical language.

Its most critical feature is the embedding of traditional three-dimensional space and time into a higher-dimensional coordinate system for interpretation.

It's like he's doing something. Through the mathematical analysis of the quantum gravitational field, the graviton behavior pattern is analyzed in multiple dimensions, so that it can be consistent with the experimental observations at both the quantum level and the macroscopic level.

The n-body problem happens to be one of these branches. In a many-body galaxy, gravity is inherently indispensable.

If a master like Lotter Dugan with rich graduate experience can teach him how to lead students, maybe he can solve this problem quickly.

To put it simply, José believes in professionalism.

Lott Dugan's reply was joyful: "Ha, Joe, really, I'm not surprised that you will be upset and unable to teach good students. The things you create are highly talented, but on the other hand, as a mentor, you need a lot of experience to inspire and sustain students' thinking and creativity.

Unfortunately, I don't think your past learning experience will be helpful to any student. Really, your presence will only keep hitting them, making them feel that their future academic careers are bleak, and that there is no hope of transcendence.

But my students are different. Because they know that as long as they are willing to do what I say, there is hope that they will surpass my achievements in the future. Not only academically inspiring, but also spiritual. They'll say, hey, our mentor is a useless old man, but sometimes he makes a lot of sense.

And you, my dear friend, your students can only say that my mentor is like a god on high. Everything he said was philosophical, but unfortunately I couldn't grasp what he meant, haha......"

Lott Dugan was laughing so happily on the phone that he couldn't help it.

Qiao Ze had already frowned, and after five seconds of laughter on the other side, he silently hung up the phone.

The little old man obviously couldn't count on it.

In Qiao Ze's impression, this old man is very serious, and he really didn't expect this guy to have such a low laugh.

Does a bad student deserve to be ridiculed?

But there was one thing that José felt like Lott Duggan was right.

Maybe he is too demanding of his students to know it, right?

But the problem is that the requirements are lowered and does not solve the problems that must be understood.

The material nature of mathematics is that theorems that need to be mastered are not made more difficult or easier to grasp because they are too demanding or too low.

Well, José felt that he might need to read some books on educational psychology to make up for it.

As for the so-called scientific breakthrough prize that Lott Dugan said before, José didn't take it to heart.

Before, he planned to win a Nobel Prize, but also to help Li Jiangao evaluate academicians more conveniently in the future.

While he was thinking about this, the phone rang, and Lott Dugan came back.

After thinking about it, Qiao Ze still answered the little old man's call.

Although the professor's performance today was not very authentic, after all, he had a good impression on Qiao Ze before, and he would not be killed with one shot.

The phone was connected, and the emotions on the other side calmed down, at least there was no inexplicable laughter.

"Ahem, Joe, well, I apologize, but you can interpret it as a joke between friends. Really, I can only blame you for being too perfect, so perfect that you don't look like an individual, and I mean the academic and research aspects, of course. So when you show certain flaws at this level, it makes people feel that kind of pleasure from the bottom of their hearts. ”

That's a very honest statement.

José chose to accept the apology and gave his own understanding: "I understand. Man always wants to see someone stronger than him make a fool of himself in order to make excuses for his mediocrity. ”

Obviously, this explanation made the other side feel that Qiao Ze was not so cute.

I didn't say anything for a while, but I didn't hang up the phone.

Just when Qiao Ze was thinking about whether he should take the initiative to hang up the phone, the other side finally spoke: "Okay, Qiao Ze, you win!" Please forgive an old fool, you're right! Our industry is like this, who contributes greatly, who is justified. ”

"Are you going to accept my offer?"

"No, no, Qiao Ze, I'm not interested in going to live in China. It's not that life here is good, or that there are doubts about life in China. Actually, I carefully considered your proposal a long time ago, but finally found that the power of habit was greater than my desire for the mystery of this world, do you know what I mean? ”

"Understood." Qiao Ze said succinctly.

It's the same as his reluctance to leave Cilin.

Everyone has their own comfort zone.

To leave your comfort zone, you have to have a reason that is acceptable to you, and that reason is enough for him to decide to give up the life he is accustomed to in his comfort zone.

It's as if someone is willing to change jobs for a salary, and someone is willing to pay for what they believe in.

At the level of Lotter Dugan, if even his belief in academics could not convince him to leave his comfort zone, there was probably nothing else that would make him change his mind.

Of course, understanding is understanding, and Qiao Ze didn't intend to let go of the little old man on the other side like this.

So he added: "You are no longer a pure scholar."

"Hehe, but I have another plan. In fact, there is a lot of room for cooperation, such as developing a joint postgraduate training program. It focuses on the cultivation of graduate students' mathematical theory research ability, and learns from each other's strengths. ”

"Nope."

"Why?"

"Supercoil algebra, transcendental geometry, supercoil coordinate system, and a series of other things that cannot be learned elsewhere. But no teaching method will be found only at Princeton. ”

"Joze, do you need to be so clear between friends? This is not like the character of your Chinese people. ”

"Unfair trading is the beginning of a friendship that spoils."

"Well, you win! Qiao Ze, I can sort out the experience of taking students over the years and send it to you. Hope it helps you a little. Look, I'm friends enough to do this, right? ”

"Well, after I study, I will convert your reward according to how much help I have."

"Not a bad idea. But one thing, you should know, although I am not rich, I am not short of money. ”

"Okay, get your satisfaction."

"Haha, you know what? José, I love being friends with you. ”

"Oh, goodbye."

"Goodbye."

Hanging up the phone, José walked back to his office.

The mood is a little relaxed.

Although the experience of others may not be useful, it may be able to solve the current problems.

Qiao Ze plans not to accept graduate students for two years. After all the three graduate students of Wang Yu, Fan Yuming and Uncle Li graduated, they were considering whether to accept new graduate students.

For the time being, it seems that this is the only way to do it.

……

Institute for Advanced Study, Princeton, USA.

Edward Witten, who had nothing to do, did not return to the apartment, but was busy in the office on the second floor.

In front of the computer was the analysis report on the graviton sent by Cern, and Edward Witten looked at the report while habitually summarizing the important contents of the report.

"Energy Range: 13.5 TEV Collision Event Log: 1.2x 1 0^11."

"Trusted events detected: 5x10^7."

"On average, there is about 2.3 teV of energy per event that cannot be traced back by traditional particle tracing methods."

"The average value of the spatiotemporal distortion index is 0.85± 0.15 (close to the theoretical prediction of the supercoil coordinate system)."

"The average lifetime of the observed suspected graviton-containing particles is approximately 1.2x 10^22 seconds."

"The decay has been measured to photons (53.96%), neutrinos (42.73%), and other decays are unknown."

"Note: The spatial distribution of decay products in the detector shows a non-standard spiral distribution pattern."

"Energy asymmetry: In a collision event, about 5.32% of the energy is asymmetrical. (Possibility of high-dimensional influence)"

"The deviation of the momentum distribution is beyond the prediction error range of the Standard Model, with an average deviation of 0.3 %, which is consistent with the theoretical prediction of the supercoil coordinate system."

"It is estimated that higher precision and high energy experiments will further improve the analysis of gravitons......

……

The last sentence was just added by Edward Witten, and then deleted it directly.

It doesn't make sense.

With CERN's current efficiency, even if it were possible to design and build a collider that could provide higher energy, it would probably be a thing of the past. There is no need to worry about what happens after death, even if it can change the world.

Not to mention the fact that the various audits are now more stringent, especially the impact on the environment and the headache of funding.

No way, when the economy is in a downward trend, the first thing that major member states want to tighten is to invest in the future. It's very helpless and realistic.

After all, studying gravitons clearly will not bring any economic benefits at this stage. Conversely, it may require continued investment in targeted research that may only yield results in the coming decades.

It's a very helpless thing to do.

It is obviously immoral to draw a big pie with a person who has not even settled on what to eat the next day, and to get rich overnight ten years later.

This is the dilemma of theoretical research, and he can only be blamed for being born earlier.

It's a pity!

Sighing inwardly, Edward Witten put down the pen in his hand, rubbed his tired eyes, and when he opened his eyes again, he happened to see the screen of his mobile phone flashing with someone's name after being muted.

Anyway, this guy is really annoying!