"all?"

Elder Yang was taken aback again, showing a little surprise: "It seems that you really need to solve that problem first!"

Before, he thought that Lin Xiao just became interested suddenly. After all, when Lin Xiao came to him before, he often learned about some related issues like him, such as anecdotes in the physics world of the last century, or some academically unreasonable things. known things.

But this time, Lin Xiao seemed to have some ideas.

"In that case...then you come with me."

Elder Yang stood up and walked towards the house.

And Lin Xiao followed quickly, and soon came to Old Yang's study.

In the study room, you can see books on science everywhere, and of course there are also some books that are common in the study room, such as the Four Great Classics, or Zi Zhi Tong Jian, Shi Ji and so on.

But for the two scientists who are engaged in natural science research, they are naturally not concerned about these things.

"Let me look for it, I remember I kept some of my old manuscripts here."

"As for the problem of quality gap, although I couldn't solve it at the beginning, I also discussed it with many people, and these manuscripts are preserved..."

"Well, I found it, it's this box, it's on top."

Lin Xiao looked up and saw a box on the top of the bookshelf.

He said, "I'll get it."

"Come on." Elder Yang stepped aside and sighed, "It's useless to be old, it's tiring to stand still."

Lin Xiao brought a chair over and took down the box.

There is dust on the box, it seems that it has been there for a while, after cleaning it, it clearly shows its true colors

"That's it, hey, I still remember these things clearly."

Looking at the box that Lin Xiao carried down, Mr. Yang said with a smile.

And there was a combination lock on the box, and Mr. Yang said the combination without any hesitation.

I opened the box, and there was a thick stack of straw paper inside. It can be seen that the paper was originally white, but it has turned yellow now.

As for the handwriting on it, although the ink has been scattered, it is still possible to see what is written on it.

"Well, this is part of my collection, and the other part is in the Qinghua Library. After I returned to China, I donated many manuscripts to them. You should be able to find them there."

But Lin Xiao looked at so many papers, and couldn't help but marvel in his heart, there are so many, if you count the part donated to Qinghua, there may be even more.

Of course, he also has a lot of manuscripts, all of which are preserved.

Maybe one day, he will also donate these manuscripts to a certain library, and then maybe for future generations to look up to?

"Thank you, Old Yang."

"There's nothing to be thankful for." Yang Lao waved his hand: "I think the meaning of these manuscripts is to wait until one day they are handed over to another person, and then this person no longer needs to care about it from the original owner. Between the lines, find out the knowledge points that have been ignored."

"Of course, this is also the meaning of the existence of knowledge. It can be passed on continuously, and then it will shine its final glory in the hands of others."

"It's like me, an old man, who can no longer create these things on paper, so I have to take the responsibility of handing them over to you."

Mr. Yang gently picked up the first piece of paper, as if seeing himself when he was young, and then put it back gently, saying: "So, I will leave all these things to you, so that they will not be destroyed after I leave." It would be a pity for my family members to throw it away as worthless things."

Lin Xiao nodded: "I know, I will take good care of it."

Then he smiled: "Of course, maybe one day in the future, I will also take these manuscripts of yours and hand them over to others along with mine."

Mr. Yang was taken aback for a moment, then smiled and said, "This is even better. My previous knowledge has been passed on to two people, and your knowledge has also begun to be passed on. Maybe it can be passed on for a longer time."

Lin Xiao laughed: "That would be the best."

"En." Yang Lao nodded, turned around and walked out of the study, and asked at the same time, "Are you staying for dinner today?"

"Eat." Lin Xiao did not refuse.

"Okay." Elder Yang smiled even more.

……

After having a meal at Yang's hometown, Lin Xiao embarked on the process of collecting materials again, that is, going to Qinghua's library to borrow the materials donated by Mr. Yang.

These things are necessary for the problem he wants to solve.

To solve the problem of the mass gap in the Yang-Mills gauge field, he certainly needs to see what these predecessors have thought.

In this way, we can better serve him in solving these problems in the future.

In this way, I came to Tsinghua University. In fact, it is not far from Yang Lao's house, because Yang Lao lives in the master's residence that Qinghua specially built for him, and the distance between the two places is not far.

When Lin Xiao came here, he didn't attract too many people's attention. After all, he didn't want to attract others' attention, but after arriving at the Qinghua Library, he needed a series of procedures to rent the manuscripts of Mr. Yang. He had no choice but to make a phone call.

So after a lot of effort, he finally borrowed all of Yang's manuscripts on the Yang-Mills gauge field theory and the mass gap problem.

The next step is to dig through these manuscripts to find out those things that have been ignored but actually have hidden value.

It's like a treasure hunt and requires patience.

Chapter 385 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 to provide 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 it can provide 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 the cost will only increase once it goes back and forth. 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 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 2δ-1. 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 gone."

"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 to the Huo Qilin... Hodge-Lin theorem. I will write a few formulas for you. 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.

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