Chapter 383 Fire Qilin Theorem

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

However, this is after all a problem of the existence and quality gap of Yang-Mills. Even if it can be harvested, there are still certain problems with the final proof.

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

"Well...if you want to solve this problem, you must start with Whiteman's axioms."

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

Lin Xiao pondered.

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

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

You don't even need to observe physical phenomena. You can use only pen and paper, and a smart brain to preview the results of this problem based on the face-to-face.

However, this method of directly calculating out of thin air without observing physical phenomena is obviously still a bit too difficult, but there is no way around it. After all, with the current technology of mankind, it is not possible to directly observe Phenomena of the microscopic world.

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

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

Now that room-temperature superconductors are available, CEPC naturally chose room-temperature superconductors as the line to provide the magnetic field. 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 previously necessary to equip the superconductor lines with corresponding cooling pipes, and these cooling pipes also needed to be equipped with some special equipment, because the originally planned niobium-titanium alloy superconductors needed to use supercritical helium forced flow cooling system technology. This The cost is more expensive.

As for the CCD-I now replaced, as a normal temperature superconductor, it obviously does not need to use these fancy things. Just set up the superconducting circuit and it is done. Therefore, the cost will only increase over time. Just a little bit, even because there is no need to build those pipelines, the construction difficulty and construction period have been greatly reduced. Of course, the most critical thing is that the subsequent operating costs and maintenance costs will be greatly reduced.

Suddenly, CEPC, which originally seemed like a waste of money, now seems to have many advantages.

"It's a pity that it's still not in use now."

Lin Xiao shook his head and sighed.

The original planned CEPC has a maximum collision energy of 25-45TeV. With the use of room-temperature superconductors, it is theoretically possible that the maximum collision energy can even reach over 100TeV. After all, the critical magnetic field strength of CCD-I Very high.

Under 100TeV energy collision, not to mention clearly observing the strong interaction force, it is said that Lin Xiao only discovered through calculations that the artificial black hole produced at the CERN Large Hadron Collider may also be directly observed. sex.

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

However, for now, the construction of CEPC will take at least about a year, that is, it will not be completed until 2025, so before that, he still has to use his own pen and paper, and his smart With my head, I came to try to solve this matter.

While he continued to think, his doctoral student Chen Mingkai suddenly walked over.

"Professor, I have a problem..."

Chen Mingkai then talked about his problem: "In this step, I think I need to distinguish whether Γ is an ordinary or non-trivial situation, 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 he found the inspiration to prove Hodge's conjecture in an accidental question from Chen Mingkai, so he was particularly serious every time he asked Chen Mingkai a question.

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 proposal report, he will be able to complete this graduation thesis, and then show his outstanding performance at the graduation defense in a few months. publish 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 paper."

"Regarding this issue, I can give you two directions here. One direction, well... is the basic version, which allows you to send the entire paper directly to the "Annals of Mathematics". As for the other..."

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

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

Chen Mingkai was immediately overjoyed. He did not expect that his doctoral thesis would receive such a high evaluation from his supervisor.

Looking at Chen Mingkai's happy look, Lin Xiao couldn't help but smile and said, "Is it possible that you just fancy this basic version now, and not the other deluxe version?"

Chen Mingkai was stunned, basic version? Deluxe Edition?

How to give him the feeling of buying games on the steam platform?

Of course, he did not hesitate and immediately asked: "Then... what is the deluxe version?"

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

He suddenly opened his drawer, searched for it, and quickly pulled out a few invitations and said, "That's probably it."

Chen Mingkai was shocked. After taking a look, he was immediately dazzled because there were invitations to some very famous conferences in the field of mathematics, such as invitations to the International Congress of Mathematicians, the American Mathematical Union Conference, and Conferences like the Bourbaki seminar in France.

"Well, that's it, so which version do you want to choose?"

Lin Xiao asked with a smile.

Chen Mingkai swallowed his saliva and asked: "Are there any conditions for the deluxe version?"

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

Chen Mingkai suddenly fell into deep thought.

Need to add some content?

This means that his tasks will be even heavier next, 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 smiled and nodded: "It's a good choice. Since you chose the deluxe version, get ready for the busy months ahead."

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

Then, Lin Xiao began to answer Chen Mingkai's questions. After talking about it, Chen Mingkai suddenly felt enlightened and understood a lot.

Although Lin Xiao would not tell him the answer directly, he could understand what Lin Xiao meant with just a little reminder.

“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 yourself from multiple angles. I believe I don’t need to say more. "

"Yes, I understand." Chen Mingkai nodded repeatedly to show that he understood.

"Okay, then we can discuss additional content."

Lin Xiao smiled and said: "Then, this additional 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 Qilin Theorem."

Lin Xiao: "?"

Chen Mingkai hurriedly explained: "Think about it, the Hodge-Lin Theorem is not the Fire Qilin Theorem!"

Lin Xiao: "..."

Why didn't he find something so interesting?

"Ahem, let's not talk about this thing for now. In short, after you complete this step, you can extend it to the Fire Qilin...Hodge-Lin theorem. I will write you a few formulas. After you complete that step , you will know.”

Then he brought some scrap paper and started writing.

Chen Mingkai next to him was stunned for a moment.

Will you know after he writes that step?

But if you put it this way, wouldn't it mean that Lin Xiao had already deduced that it would take him several months to complete that step without doing it?

Although he thought this was a bit outrageous, but considering that the person in front of him was Professor Lin, he finally gave up his doubts.

Regarding this kind of thing, as Lin Xiao's student, he can still remain confident.

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

"That's it, keep it."

"Okay." Chen Mingkai took it immediately. Although he still can't understand it, maybe he can touch the content of this deluxe version after completing the content of the basic version?

After putting away the things, thinking that the content inside might get him invitations to those high-end mathematics conferences, he couldn't help but ask: "By the way, Professor Lin, for you, you want to publish the "Annals of Mathematics" Such journals should be easy, right? But why don’t you publish them more often?"

He was very curious about this question and wanted to understand how strong people viewed publishing papers.

Lin Xiao laughed, spread his hands and said, "You said it's easy, so why should I waste time?"

"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 lowered his head and read the paper.

Chen Mingkai was stunned for a moment when he heard Lin Xiao's words that seemed to be said accidentally.

What? Mass gap problem of Yang...Mills gauge field?

He finally understood how strong people viewed publishing papers, because for strong people, if they wanted to publish a paper, they had to publish such awesome papers.

But at this moment, Lin Xiao suddenly raised his head and said: "Oh, by the way, there is another item in the Deluxe Edition content for you, that is, after you have completed all the content of the Basic Edition and Deluxe Edition, you can Come directly to Dingguang Research Institute."

Chen Mingkai, who was still shocked just now, heard the news again, and immediately forgot about the strong man, and turned into extremely happy.

He can actually go to Dingguang Research Institute?

"Great! Long live the professor! The professor will always be awesome!"

He immediately cheered.

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

Seeing him like this, Lin Xiao couldn't help but feel funny, and said, "Don't be too happy too early. Just finish your thesis first."

"Promise to complete the mission!"

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

Lin Xiao shook his head helplessly, and his thoughts returned to the Hodge-Lin theorem mentioned by Chen Mingkai before.

"Fire unicorn? Interesting."

Without thinking any more, he lowered his head and continued his research.