Great Country Academician

The miniaturized controllable nuclear fusion and aerospace engine research projects were progressing in an orderly manner. After focusing on these two projects, he also learned about the work of the other two institutes of Xinghai Research Institute.

The Information Research Institute and the Materials Research Institute currently do not have many independent scientific research projects, and they mainly cooperate with research projects on miniaturized controllable nuclear fusion and aerospace engines.

As for management matters, Xu Chuan doesn't particularly want to spend time on them. After all, people's energy is limited.

Fortunately, there was help from people arranged by the state, so he didn't need to worry too much.

In mid-to-late June, after several rounds of tests and sufficient data collected, the Huaxing Fusion Device started the first round of deuterium and tritium raw material fusion ignition experiments.

The experiment went quite smoothly. After several rounds of adjustments to the numerical control model of plasma turbulence, the control of the high-temperature plasma in the internal chamber of the stellarator became increasingly complete.

After two hours of operation, the Huaxing fusion device successfully drove a set of magnetic fluid engine units and delivered a small amount of electricity to the local power grid.

This news is undoubtedly exciting. It represents that stellarators also have the potential to realize controllable nuclear fusion technology.

Of course, this experiment also discovered many problems.

For example, the internal chamber space of the stellarator is small and the shape and orbit are complex, which can easily form unrestricted particle orbits, leading to the loss of high-energy particles and hot particles, and the relative difficulty in raising the plasma temperature.

These problems all affect the Q value and efficiency of the stellarator, and they are all problems that need to be solved.

However, compared with the problems faced by the Dawn Fusion Device studied for the first time, the difficulty of solving these problems is far less high.

Although Xu Chuan cares about it, it is not impossible for Xinghai Research Institute to solve these problems.

Moreover, he has to give others some opportunities to practice, right?

If all the problems are solved by him, what else will other researchers and engineers do?

The days passed like this. At the beginning of July, as usual, Xu Chuan arrived at Nanda.

In the office, as soon as he entered the door, an extremely excited voice came over, which almost startled him.

"Professor, I solved it!"

An excited voice came to his ears, and Xu Chuan looked around. In the office, Cai Peng stood excitedly in his seat, his face flushed with excitement.

Looking at his excited student, he was stunned for a moment. Then he remembered something and said with a smile: "Where's the paper? Let me take a look."

Hearing this, Cai Peng quickly handed over the paper in his hand.

Xu Chuan took the paper and read it carefully.

"Stage proof of minimum differential calculation of dimensional polynomials in differential equations!" 》

"Suppose K is a zero-characteristic differential field, ={δ1,···,δm} as its differential operator. Let L = Khη1,···, ηni be K and a finite number of elements η={η1,··· The differential extension field generated by , etan}. Let Θ represent the free commutative semigroup generated by δ1,···,δm. If r is any non-zero integer, let."

"(i) If r is any sufficiently large integer, then ωη|K(r)= trdegKLr;"

"(ii) degωη|K 6 m, and ωη|K(t) can be written as ωη|K(t)=mXi=0ait + ii, where a0,···,am are integers."

“(iii) d = degωη|K, am”

Looking through the paper in his hand bit by bit, Xu Chuan looked at it carefully.

The calculation of the minimum differential dimension polynomial of a differential equation was the graduation topic chosen by his student.

Before this year, he didn't expect Cai Peng to solve this problem before graduation.

After all, this is a world-class mathematical problem, with difficulty ranging from the end of T3 to the top of T4.

To solve such a difficult problem may take a lifetime for many mathematicians, and may not even be possible.

For Cai Peng, as long as he makes a breakthrough in this field, can produce phased results, and the paper passes the review of the journal, that's enough.

However, at the beginning of this year, Cai Peng made great progress and breakthroughs on this issue. At that time, he saw what was done and gave some guidance.

Now a few months have passed, and now it's his turn to reap the rich fruits.

As the pages of the paper were turned over, Xu Chuan's eyes filled with approval.

With his ability, it is not difficult to understand these things after proving that the paper has been produced.

After reading the last page of the paper, Xu Chuan raised his head with a smile and praised: "A very beautiful proof process. It builds a fractal framework through domain expansion to make judgments on the minimum differential dimension polynomial of the differential dimension polynomial. You have not wasted the last few months."

In the paper in hand, he saw some shadows of the methods he used to solve the Weyl-Berry conjecture, and also saw something that belonged to Cai Peng himself.

Although it is only a preliminary result, for a doctoral student, this is already very, very good.

"Thanks to Professor for your guidance. Without your guidance, I might never have found the direction."

Cai Peng thanked him from the bottom of his heart. This was indeed what he meant.

Only now did he realize how important a good mentor is.

Before following Xu Chuan, to be honest, his upper limit in this life was probably like that.

Go to Princeton to study, then go back to China, find a job, study mathematics, and see if you can make something.

If he's lucky, maybe he can make something and publish it in one of the four major journals, and become a top student or outstanding student, but this is about as good as he can imagine, and he has to be very lucky. .

Like now, being able to solve a world-class problem before graduating with a Ph.D., even though it is really a staged achievement, and even though it has not yet passed the journal review, is still something he never dared to dream about before.

There are a lot of talented people, but only a few can get ahead, one percent? Not even one in a thousand.

There are too many talents that are buried in this world. There are always horses with a thousand li, but not Bole.

Although this tutor was a bit unreliable most of the time, he still taught him countless things, especially those experiences and methods in academic research, which he might not be able to learn even if he went to Princeton.

After all, Princeton doesn’t have the best person in mathematics, right?

After listening to Cai Peng's words, Xu Chuan smiled, and after returning the paper in his hand, he patted his shoulder and said with a smile: "Come on, this is just the beginning, the calculation problem of the minimum differential dimension polynomial, The other half is waiting for you.”

Cai Peng nodded vigorously and said excitedly: "Yes! I will work hard!"

Xu Chuan smiled and nodded, looked at the other students in the office, and said, "Your senior brother is about to graduate, so you should work hard."

In the office, several new students admitted last year nodded vigorously and cast envious glances at Cai Peng.

A worldwide problem, this is so enviable!

But then again, the difficulty of graduation is really high!

In the office, Xu Chuan looked at several students and felt a little emotional.

I have to say that whether it is Gu Bing and Amelia in the past, Cai Peng now, or the freshmen who are still studying, watching them grow up step by step and have the ability to stand on their own is really a feeling. The joy of an old father! It feels like a child growing up!

Thinking about it, he suddenly remembered something. He came back to his senses, looked at several students and said with a smile: "In half a month's time, this year's International Mathematical Congress will be held. I will give you three papers this afternoon." Questions, if you can solve two of them before the International Mathematics Congress, I will take you to see the world."

"Cai Peng can be exempted. The results he has produced are completely enough for him to give a 45-minute report at the mathematics conference."

After a pause, he looked at Cai Peng and said with a smile: "Submit your paper early, maybe this year's International Mathematical Union will issue you a replacement invitation letter."

It is already early July, and the invitations to the International Mathematical Conference in mid-July have been sent out long ago. However, a world conjecture at the end of T3 level, even if it is a phased result, is enough for the International Mathematical Union to pay attention to issuing a new invitation. .

Hearing this, the four freshmen immediately cast envious glances at Cai Peng again.

Feeling the looks from these juniors, Cai Peng grinned, stood up straight with his head held high, and met the envious and admiring looks of his juniors.

This senior brother of his can be considered glorious and great now, the highlight of his life!

"Then professor, which journal is better for me to submit to?"

Xu Chuan smiled and said: "You can decide this yourself, but I suggest you publish it on arxiv after submitting to the journal, and send a copy to the International Mathematical Union. After all, the review speed of journals is sometimes very slow."

"I will say hello to you. Maybe this time you still hope to be able to go up with Gu Bing and Amelia to give a report."

For mathematics journals, unless it is a top mathematician like him, or it is a problem similar to the seven millennium problems that is worthy of holding a separate report meeting, the general review time is several months or even half a year. to one year.

After such a long time, if Cai Peng reviewed it normally, there would be no hope of giving a report at this International Mathematics Conference.

However, as his mentor, he could help with many unnecessary things. Although the review time of the journal could not be shortened to half a month, his academic reputation was enough to give him face by the International Mathematical Union.

Of course, more importantly, Cai Peng's paper is worthy enough to be on the stage of the International Mathematics Conference.

If not, it would be impossible for him to open this mouth.

As for Gu Bing and Amelia, they have received invitation letters. After all, the two people who solved Bloch's conjecture are fully qualified to give reports at the International Mathematics Congress.

Xu Chuan smiled and shook his head as he looked at the students who were gearing up to answer his math questions and want to go out and see the world.

This year's International Mathematics Congress is not far away, and it is time to release the second half of the Yang-Mills existence and mass gap puzzle.

After all, it is a millennium problem. Even at a grand event such as the International Congress of Mathematicians where big names gather, many mathematicians must be given some time to prepare in advance.

Thinking about it, Xu Chuan clicked on the arxiv preprint website and submitted the paper he had prepared.

"For any compact simple group G, there exists a massive quantum Yang-Mills field with G as the gauge group on R4, and there is a mass gap \u003e 0! 》

The title of the paper is long, but it is the best possible response to Yang-Mills' existential and mass gap problems.

After uploading the paper to the arxiv preprint website, Xu Chuan stopped caring about it.

He took out the manuscript paper and pen from the drawer, looked at the computer screen in front of him, and fell into deep thought.

The Yang-Mills existence and mass gap problems have been solved by him, and the next goal is undoubtedly the unification of strong electricity.

This is one of the greatest crowns in theoretical physics in the 21st century.

It was also the goal that he had not accomplished in his previous life and hoped to accomplish in this life.

However, he did not have a complete idea on how to win this crown, even if he solved the problem of Yang Mills' existence and quality gap.

This is not something that comes naturally.

Although there have been rumors in the physics community that if anyone solves the Yang-Mills existence and mass gap problems, there is hope of completing the unification of strong electricity, but that is only a hope.

If someone says that he can easily complete the unification of strong electricity, don't hesitate to go up and give him a big beep bag.

If this problem is so easy to solve, can it be called the greatest crown in the field of theoretical physics in the 21st century?

The so-called water will come naturally, so you have to have water first.

For example, gauge symmetry is the cornerstone of Yang-Mills theory, which states that the behavior of a physical system remains unchanged under certain continuous transformations.

Or the gauge symmetry of the electromagnetic field means that under the local transformation of the electromagnetic potential, both the interaction and the electromagnetic interaction can be described by Yang-Mills theory.

These are the cornerstones of help for a theory, and they are also a matter of course.

But regarding the mathematical solution to the unified theory of strong electricity, there is no such foundation. He needs to find a coupling constant to determine how the particles corresponding to these fields can interact under the mathematical system.

When facing this problem, the existence and quality gap of Yang Mills can provide certain help, but it is not enough for him to completely solve this problem.