From Almighty Scholar to Chief Scientist

Chapter 386 Fire Kylin Theorem

The days of research are always long and boring, but once in a while there is a harvest, there is always joy.

However, this is after all the existence and quality gap of Yang-Mills. Even if there are gains, there are still some problems with the final proof.

At this moment, in Lin Xiao's office at Shangjing University, he was leaning over his desk and thinking. The scorching spring sun outside the window happened to shine on his face, which was warm and caring.

"Well... To solve this problem, we must start with Whiteman's axiom."

"First, it needs to satisfy the assumptions of relativity quantum mechanics, second, it needs to satisfy the assumptions about domains and domain continuity, and third, it needs to satisfy the law of onlooker causality..."

Lin Xiao pondered.

These things sound like they all belong to the category of physics, but in the end they have to be handed over to mathematical symbols to unify them, and this is exactly what Lin Xiao is doing.

After all, this problem can finally be classified as one of the seven major problems of mathematics, which means that its relationship with mathematics is inseparable.

Even without observing physical phenomena, with only pen and paper, and a smart brain, the result of this problem can be previewed based on the direct surface.

However, this method of directly calculating without physical phenomena is obviously too difficult in terms of difficulty, but there is no way to do it. After all, with the current technology of human beings, it is still impossible to directly observe Phenomena in the microcosm.

"Hey, the energy of those particle colliders is still a bit low."

Thinking of this, Lin Xiao couldn't help thinking of the CEPC being built, that is, the large particle collider proposed by Huaguo High Energy.

Now that there are room temperature superconductors, CEPC naturally chooses room temperature superconductors as the circuit that provides the magnetic field, and even the specifications have been improved a lot, because the critical current density of CCD-I is stronger, and the electromagnetic field that can be provided is also stronger. Therefore, the collision energy in its construction plan will also be greatly improved.

Of course, due to the need to use the more expensive CCD-I, the cost of the superconductor circuit has also increased a lot, but the final cost has not increased much.

Because it was originally necessary to equip corresponding cooling pipes for superconductor circuits, and these cooling pipes also needed to be equipped with some special equipment, because the niobium-titanium alloy superconductors in the original plan needed to use supercritical helium forced flow cooling system technology, this The cost is more expensive.

And the CCD-I that is replaced now, as a room temperature superconductor, obviously does not need to use these bells and whistles, just set up the superconducting line and it's over, so after one round and one round, the cost will only increase. That's all, even because there is no need to build those pipelines, the difficulty of construction and the construction period have been greatly reduced. Of course, the most important thing is the subsequent operating costs and maintenance costs, which will be greatly reduced.

Suddenly, CEPC, which seemed to be a waste of money, now seems to have a lot of advantages.

"Unfortunately, it is still not available now."

Lin Xiao shook his head and sighed.

The CEPC in the original plan can reach a maximum collision energy of 25-45TeV. After using room temperature superconductors, theoretically speaking, the maximum collision energy may even reach 100TeV or more. After all, the critical magnetic field strength of CCD-I very high.

And under 100TeV energy collisions, not to mention the clear observation of the strong interaction force, it is said that Lin Xiao discovered through calculations that the artificial black hole produced at the CERN Large Hadron Collider may also be able to realize the possibility of direct observation sex.

Even, it is not impossible to discover some other particles that humans have not yet discovered, such as supersymmetric particles.

However, as far as the current situation is concerned, the construction of CEPC will take at least a year or so, that is, it will not be completed until 2025, so before that, he still has to pass his own paper and pen, and his cleverness. head, to try to solve this matter.

Just as he continued to think, his doctoral student Chen Mingkai came over suddenly.

"Professor, I have a problem..."

Chen Mingkai talked about his own problems: "In this step, I think I need to distinguish whether Γ is ordinary or non-trivial, but in this step, I encountered some problems..."

Lin Xiao smiled slightly, temporarily stopped what he was doing, and listened carefully to Chen Mingkai's explanation of the problem.

Probably because Chen Mingkai's accidental questioning gave him the inspiration to prove Hodge's conjecture, so every time he asked Chen Mingkai, he was very serious.

As for Chen Mingkai's graduation thesis, it has come to an end. For him now, as long as he completes the last part of the opening report, he will be able to complete this graduation thesis, and then in the graduation defense a few months later, he will show out his results.

Soon, after listening to Chen Mingkai's question, Lin Xiao praised: "Yes, this question is actually related to the essence of your entire thesis."

"About this question, I can give you two directions here. One direction, um... is the basic version, which allows you to send your entire paper directly to the "Annual Journal of Mathematics". As for the other..."

And Chen Mingkai's eyes lit up at this time: "Professor, what are you talking about? Annals of Mathematics? Can my paper be published in Annals of Mathematics?"

"For now, there is no problem in terms of basic value." Lin Xiao said with a smile.

Chen Mingkai immediately became overjoyed. He never expected that his doctoral thesis could get such a high evaluation from his supervisor.

Seeing Chen Mingkai's happy look, Lin Xiao couldn't help but smiled, and said, "Could it be that you only fancy the basic version now, and not the other deluxe version?"

Chen Mingkai was taken aback, the basic version?Deluxe Edition?
How to give him the feeling of buying games on the steam platform?
Of course, he didn't hesitate, and immediately asked, "Then... what is the deluxe version?"

Lin Xiao smiled: "The deluxe version includes the content of the basic version, and it also comes with some surprise content, such as... um, can I receive some invitations from top mathematics conferences or forums?"

He suddenly opened his drawer, searched for it, and quickly found a few invitation letters, and said, "Probably these are all."

Chen Mingkai was shocked, and after stretching out his head to take a look, his eyes were dazzled immediately, because there were quite a few invitations to well-known conferences in the mathematics field, such as the invitations to the International Congress of Mathematicians, and the United States Mathematical Conference, and Conferences like the French Bourbaki seminar.

"Here, that's all, so which version do you want to choose?"

Lin Xiao asked with a smile.

And Chen Mingkai swallowed, and asked: "Deluxe version, is there a condition?"

"Of course." Lin Xiaodao: "The condition is that you need to add some content to your graduation thesis. In other words, the content you planned before is not enough."

Chen Mingkai suddenly fell into deep thought.

Need to add something?
In other words, his next task will be even heavier, and what you need to know is that his graduation defense will start at the end of June.

But soon, he made up his mind and said, "Professor, I choose the deluxe version."

Lin Xiao nodded with a smile: "It's a good choice. Since you have chosen the deluxe version, get ready for the busy months ahead."

"So, first of all, the content of the basic version."

Afterwards, Lin Xiao began to answer Chen Mingkai's question just now. After talking about it, Chen Mingkai suddenly realized a lot.

Although Lin Xiao would not tell him the answer directly, he only needed a few hints before he could understand what Lin Xiao meant.

"So we can easily know that rh(q) is greater than 2δ1. In this way, we can know whether Γ is extraordinary or not, and then you can discuss it from multiple angles. Believe me, I don't need to say more. "

"Well, I understand." Chen Mingkai nodded again and again, expressing that he understood.

"Okay, then, we can discuss additional content."

Lin Xiao smiled and said, "Then, this extra content is Hodge's conjecture... Oh, it should be called Hodge's theorem now."

Chen Mingkai scratched his head, and whispered, "We usually call the Fire Kylin Theorem."

Lin Xiao: "?"

Chen Mingkai hurriedly explained: "Think about it, the Hodge-Lin theorem, isn't it the Fire Qilin theorem!"

Lin Xiao: "..."

Why didn't he find such an interesting thing?

"Ahem, let's not talk about this. All in all, after you complete this step, you can extend the Huoqilin... Hodge-Lin theorem. I will write you a few formulas, and after you complete that step , you will know."

Then he took the draft paper and started to write.

Chen Mingkai next to him was stunned for a moment.

After he writes that step, will he know?

But if you say that, isn't it true that Lin Xiao didn't do it, and already deduced that it would take him about a month to complete that step?

Although I think this is a bit outrageous, but thinking that the person in front of me is Professor Lin, he finally gave up the doubt in his heart.

For this kind of thing, as Lin Xiao's student, he can still maintain confidence.

Soon, Lin Xiao wrote a bunch of complicated calculations and put them in front of Chen Mingkai.

"That's all, put it away."

"Okay." Chen Mingkai immediately took it. Although he still can't understand it now, maybe he has finished the content of the basic version, so he can touch the content of the deluxe version, right?
After putting away the things, thinking that the content inside might be something that would allow him to receive invitations to those high-end mathematics conferences, he couldn't help but ask again: "By the way, Professor Lin, for you, what is the most important thing for you to publish "Annual Journal of Mathematics"? Such journals should be easy, right? But why don't you publish them often?"

He is very curious about this question, and wants to understand what the strong think about publishing papers.

But Lin Xiao couldn't help laughing, spread his hands and said, "You said it's easy, so why should I spend time on it?"

"Okay, okay, hurry up and study your problem, I have to continue to study the mass gap problem of the Yang Mills gauge field." He waved his hand dismissively, then looked down at the paper.

Hearing Lin Xiao's seemingly unintentional words, Chen Mingkai was stunned for a moment.

What?Yang...Mills gauge field mass gap problem?

He understood the view of the strong on publishing papers in the eyes of the strong, because for the strong, if they want to publish a paper, they must publish such a powerful paper.

But at this moment, Lin Xiao suddenly raised his head and said: "Oh, by the way, there is another item in the content of your deluxe edition, that is, after completing all the contents of the basic and deluxe editions, after you graduate, you can Come directly to the Dingguang Research Institute."

When Chen Mingkai, who was still shocked just now, heard the news again, he immediately forgot about the strong man, and turned into incomparable joy.

He can actually go to the Dingguang Research Institute?
"Okay! Long live the professor! The professor will always be a god!"

He immediately cheered.

Thinking about the treatment of Dingguang Research Institute, at this moment, he only felt extremely excited in his heart.

Seeing him like this, Lin Xiao couldn't help feeling amused, so he said, "Don't be too happy, you should finish your thesis first."

"Guaranteed to complete the mission!"

Chen Mingkai stood at attention and saluted, and then ran out.

Lin Xiao shook his head helplessly, and his thoughts returned to the Hodge-Lin theorem that Chen Mingkai said earlier.

"Fire Qilin? Interesting."

Without thinking too much, he lowered his head and continued his research.

(End of this chapter)