At two o'clock in the afternoon the next day, Yanbei University, Centenary Lecture Hall, Li Ying Hall.
The conference room, which can accommodate 333 people, has been filled with people.
This Sunday, almost all the professors from the School of Mathematics and Physics of Yanbei University came, and many professors from Huaqing next door also came here specially.
But the main force that really fills the lecture hall is still the huge group of students.
However, unlike Huaqing, the students attending the lecture this time were mainly full-time doctoral students, supplemented by graduate students, and only a few undergraduates. And the requirements are also different.
A special announcement was made in the school.
During the question-and-answer session of the report meeting, if you do not understand the content of the report meeting, do not raise your hand to ask questions.
This also proves from the side that the crazy complaints from Huaqing yesterday were probably really hit hard. Having learned from the past, Yanbei University simply chose to eliminate this possibility from the source.
This can be regarded as official proof that the complaints made by a bunch of Huaqing students yesterday were not lies.
But this also aroused the rebellious psychology of many students in Yanbei.
Do you really not understand it at all?
That must be heard.
In fact, Zhang Hongcai also considered changing it to a small press conference and moving it from Li Ying Hall to the Four Seasons Courtyard.
However, the venue of the briefing meeting was temporarily changed, and he was afraid of causing Qiao Ze's displeasure, so he gave up.
Even though Zhang Hongcai had almost given up on bringing Qiao Ze to Yanbei University, he still didn't want to offend Qiao Ze. Especially after watching Qiao Ze's ppt last night and roughly knowing the problem Qiao Ze is studying.
As he said last night, even if Qiao Ze only proves that there is a general solution to the Yang-Mills equation in mathematics, he will definitely become one of the well-deserved leaders in the Chinese mathematics community in the future.
The use of the word "future" means that Qiao Ze is simply too young.
Another thing that has accumulated over the past five or six years is that he is a serious leader.
At this time, the report meeting was already halfway through, and in ninety minutes, Qiao Ze had already discussed most of the previous mathematics section.
In fact, the style of giving reports in Huaqing is not much different. It is still complicated formulas and proofs of understanding.
It seemed that Qiao Ze didn't even bother to discuss the impact of his research on the academic world and his prospects for the future, and really regarded the report meeting as an extremely pure academic exchange.
The result is naturally similar to yesterday.
Most of the content is still incomprehensible to everyone.
It has nothing to do with whether you have read through the paper published in the Annals of Mathematics before.
In fact, even if the text of the paper has been formed, it is impossible for many mathematicians with different research directions to read it in just one month.
The mathematical theory involved in any unified proposition is too complicated.
Therefore, the lecture hall was very quiet. Except for Qiao Ze's voice, it could really be described as a pin drop.
In the palace of knowledge, you can not understand, but you cannot blaspheme.
Until that shocking formula appeared.
…
Xu Changshu couldn't help but move his buttocks and stared at the formula on the curtain that ordinary people couldn't even read the symbols apart.
He was one of the few attendees today who could keep up with the conference.
This was not only due to his in-depth research and thinking on related issues, and specifically studying Qiao Ze's thesis, but also because he had been in contact with Qiao Ze via email for more than half a month and had a discussion on this issue. series of discussions.
He was able to determine that as long as this formula was extended, this mathematical problem that had troubled generations of people could really be solved.
This also made Xu Changshu's eyes become excited, and he couldn't help but want to say something.
So he turned his head and looked at the students beside him, and said softly: "Zeng Guangzhi, do you understand this step?"
Then, not surprisingly, his best student shook his head blankly.
Xu Changshu smiled and whispered: "It's normal not to understand. It's an idea that only a real genius can have. He used the space splitting method mentioned in the previous paper and made a series of changes to get this step." . This is also the reason why I must go to Xilin University of Technology.”
After speaking, he couldn't help but sigh: "Mathematics is often like this. One person can even be worth a team of ten thousand people. I hope you can make a decision quickly, whether to follow me to Xilin or stay in Yanbei." If you choose the latter, I have already made an agreement with Professor Cheng and he can accept you."
Zeng Guangzhi nodded blankly, and then looked at Qiao Ze's young face on the stage in a daze, feeling that life was so wonderful.
It’s not uncommon for your supervisor to suddenly leave halfway through your Ph.D.
But Zeng Guangzhi really didn't expect this kind of thing to happen to him.
When he first chose his mentor, what he valued was that Xu Changshu was young enough and already well-known in the mathematics community. As long as he can successfully graduate with his PhD, his future will be bright.
But who would have thought that the mentor would have to leave halfway?
Although Xilin University of Technology is also said to be a 985 institution, it is not comparable to Yanbei University in terms of popularity.
The instructor looked excited and wished he could get over it soon.
Why……
He was lamenting in his heart, but Zeng Guangzhi still responded softly: "Well, I know the boss will consider it carefully."
On the other side, Zhang Hongcai also whispered to the people around him: "Academician Wang, this is where I saw it yesterday. Do you think there is anything wrong with his proof?"
The gray-haired academician shook his head and said: "Xiao Zhang, you think too highly of me. How can I understand it in such a short time, but one thing I can confirm is that the Qiao-style space splitting constructed by this boy The method can stand the test. Xiao Li and others have tried to solve multiple non-Abelian exchange field equations using Qiao Ze's method, and have obtained satisfactory results."
"Hey..." After hearing Academician Wang's reply, Zhang Hong sighed again.
Why is this kid so stubborn? Isn’t it good to come to Yanbei University?
Whenever he thought that China's first serious Fields Medal winner would come from Xilin University of Technology, he felt depressed.
Yanbei Mathematics College’s title of No. 1 in the country was wasted.
"If this step of derivation can be proven correct, I think it will only take Qiao Ze two or three years at most, or even less, to complete the existence proof of the solution to the Yang-Mills equation. If it can be completed in two years, the competition The next Fields Medal will not be a big problem." Zhang Hongcai said with emotion.
The next mathematics conference will be around August 2026. If Qiao Ze can complete the proof in 2025 and be recognized by the world's mathematical community, then competing for the Fields Medal will indeed be a sure thing.
Qiao Ze is nineteen years old this year and will be 22 in three years.
If the youngest Fields winner can be brought to this level at once, it will most likely be unprecedented and there will be no one in the future.
Academician Wang just smiled, then shook his head slightly, raised his finger and pointed at the young man on the stage, indicating to Zhang Hongcai to listen to the report first.
From his perspective, it's really hard to comment on this kind of thing.
To be honest, Wang Zhenjie, the president of the Chinese Mathematicians Association who came specifically to listen to this report, was also shocked under his calm appearance.
A nineteen-year-old boy is already standing at the top of the pyramid and can challenge the brightest pearl in the world of mathematics. This is also something he could not imagine before today. Even though Zhang Hongcai had vaccinated him before.
At this time, Qiao Zegujing Fubo's voice continued.
"The above is the main content of today's report. What follows is not limited to mathematical imagination. Unfortunately, mathematically self-consistent physical theories are not necessarily correct, which also leads to the fact that when we combine mathematics When mapping to physics, the absence of logical problems does not mean correctness.
What follows is my extended thinking on this issue. First, we need to bring in the field theory, make a Feynman diagram, calculate the scattering amplitude based on Feynman rules and bring it into our formula, we can get the following results..."
Zhang Hongcai watched quietly as Qiao Ze switched the ppt again.
This part was something he didn't continue reading yesterday.
"mφ is the mass of the boson, and g is the coupling constant in the Lagrange quantity of the interaction between particles. Combined with the formula, we can find the value range of v (g) through the scattering cross section. The next step is to use splitting again Carry out spatial transformation on it by dividing it..."
In view of time constraints, I omitted the calculation steps, and this is the final result...
From this result we can see that the components of the electric field can be constructed as non-commutative operators, which I think will be a key step in solving the mass gap hypothesis. So the most critical question at present still is how we continue to use mathematical language to explain the existence of the mass gap.
This is my overall thinking process on this issue, and it is also what I want to discuss with you at today's report meeting. "
Yes, Qiao Ze's ppt has reached the last page at this time.
The originally extremely quiet meeting scene suddenly erupted into whispers because of Qiao Ze's words.
There was no applause for the time being, but countless people couldn't help but start discussing.
Although most people did not understand the first half of this report, everyone understood the second half.
It turned out that this press conference not only analyzed published papers, but also talked about recent research directions?
The ultimate problem that the young man on the stage wanted to solve turned out to be...
For a moment, the whispers turned into an uproar.
"Do you understand?"
"What do you mean?"
"Nonsense... of course his formula and the calculated results after bringing it in."
"I think if I could understand, I could go to Princeton and become a professor."
"Then do you think he can really solve this problem?"
"I don't know, but look at the professors sitting in the front row... they don't seem to have responded yet, so I think it's probably correct, right?"
"Is it possible that the professors don't understand either?"
"hehe……"
…
There are many similar discussions.
Although Qiao Ze's tone has always been calm, those who can sit in today's meeting must understand what the issue Qiao Ze wants to challenge represents.
Even Yu Chenggong, after sending Zhang Hongcai away last night, went online to check the introduction of the quality gap and the previous research process on this issue.
Someone once even asserted that there is probably no more difficult problem in the world than the mass gap hypothesis.
If people can really solve this problem, it will represent a big step forward in human understanding of the microscopic physical world.
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This question, which combines mathematics and physical theory, has become the basis of modern particle physics before it has been proven. If it is falsified, every branch of physics will become a joke, even the standard model of particles and the Higgs mechanism, which have been proven countless times, will become a joke.
It is precisely because it is too basic that the Yang-Mills theory itself only provides an exquisite model, but it does not directly tell the physics community what the strong and electroweak forces are. This requires solving and proving the theory.
Who can prove it? His status in the academic world can probably be described as a contemporary Newton.
Now a nineteen-year-old child has begun to challenge one of the ultimate global issues, and even directly stated his own arguments at this public report meeting. This requires courage.
Because once it is proven that the content of the report is full of errors and omissions, it will probably be ridiculed by the academic community.
But on the other hand, when Qiao Ze finally raised the question, those people at the press conference who didn’t understand anything at all forgave themselves in an instant.
"No wonder I can't understand. It turns out this is what I'm talking about! The title of this report is too deceptive, right?"
Yes, this is probably the truest voice of many people at this time.
If you want to verify the "mass gap hypothesis", then it is normal that you cannot understand it.
People are always good at comforting themselves.
…
On the stage, after Qiao Ze finished speaking his question, he stood silently on the podium for a minute while glancing around the large venue.
Next is the question and answer session.
However, when Qiao Ze saw that most people in the venue were whispering, while a small number of people were sitting there in a daze, he couldn't help but frown slightly.
He thought of what Li Jiangao once said to him. If he could really complete this proposition, there would probably be no more than twenty people in the world who could understand his paper in a short time.
Before, he thought Uncle Li was exaggerating a bit.
But when he saw the reaction of everyone in the audience at this moment, he was probably sure that Uncle Li was not exaggerating.
After all, he is far from being able to prove this proposition.
Due to time constraints, what was discussed in today's report was only a general idea and did not involve too many overly complicated proof processes.
Even so, he can feel that there may not be many people who can understand his mathematical ideas, even if this is the top university recognized by the Chinese mathematical theory community.
I felt slightly disappointed in my heart.
He began to doubt some of the things Su Mucheng said to him.
The people here didn't seem to be as smart as he thought.
If you cannot quickly understand and get inspiration from even the most basic ideas, it is difficult to imagine that you can give more meaningful suggestions and tips in in-depth research.
For a moment, the young child was a little disinterested.
So amidst the buzzing sound in the venue, Qiao Ze turned around and walked silently towards the noisy audience.
There is no need for a question and answer session.
Qiao Ze felt that without quality questions, a serious report would turn into a farce. He didn't bother repeating those mathematical ideas again and again.
Obviously, the efficiency of the report meeting is not even as good as academic discussions conducted via email.
For everyone in the audience who had already reacted, it was a bit baffling.
Um……
Why did the person leave? Are you not going to answer the next question?
Zhang Hongcai was stunned for a moment, and then glanced at Academician Wang next to him. However, when he saw Academician Wang next to him regaining his composure after being briefly stunned, he just sighed in his heart, then stood up on his own initiative and began to applaud.
When Zhang Hongcai made this move, the people next to him finally reacted.
The professors stood up and started applauding.
He made everyone stand up from their seats and start applauding, even though many people were still at a loss.
Zhang Hongcai sighed in his heart.
This is probably the best way to handle it, right? It’s as if today’s report meeting really didn’t arrange a question-and-answer session.
It can save some face.
Well, at least it was much better than the report meeting in Huaqing yesterday.
…
"Professor Li, why did Qiao Ze just leave again today?" Yu Chenggong, who had already stood up and applauded with everyone in the audience, couldn't help but ask Li Jiangao next to him.
He still didn't understand the content of Qiao Ze's report, and it was still impossible for him to understand it.
Not understanding also means not knowing how difficult it is. Many times the fearlessness of the ignorant is not actually a derogatory meaning, but simply describes a fact.
The Internet allowed Yu to successfully understand that the quality gap hypothesis is a great proposition.
But after all, he is not engaged in mathematics or physical theory research, so he does not know that let alone studying this proposition, it is not easy to really understand what this proposition says, let alone the difficulty of understanding this proposition. .
It is difficult to know this proposition, and many times it is just a matter of what others say.
Everyone says it’s difficult, so of course it is.
But it is also very difficult for people to really understand where the difficulty lies.
Li Jiangao naturally understood it, and even understood it to the extent that he was intimidated by this proposition.
For example, when he entered the palace of mathematics, he never thought of having any contact with this proposition.
This is the awareness of one's own abilities.
So when he heard Yu Chenggong's question, Li Jiangao was silent for a moment and then gave a very sincere answer: "This is probably because he is high-minded and low-key."
"Haha, Director Yu, Uncle Li is very shy. In fact, the answer to your question is very simple, because he is Qiao Ze." Su Mucheng next to her heard the conversation between the two and said proudly .
"Well, well, you're right." Yu Chenggong nodded repeatedly.
Although this answer is a bit idealistic, it is really easy to understand.
Because he is Qiao Ze.
…
There are a lot of assumptions in mathematics, and interestingly, there are also assumptions in physics.
Many assumptions become conjectures if they are verified to a certain extent.
It is difficult to say which conjecture is more noble, but if it has passed countless verifications, the conjecture that cannot be proven will naturally become the most eye-catching proposition in the history of human science. The human scientific system is such a process of continuous summary.
Naturally, today's report will leave a very deep impression on everyone present.
If coupled with the momentum already generated by Qiao Ze's lecture in Huaqing yesterday, this lecture at Yanbei University will naturally attract more attention outside the venue.
The only pity is that this on-campus report meeting is semi-open in nature. Unlike the Mathematicians Conference, there will be live or recorded video, so that any scholar who is interested in this topic can download the video through official channels and Understand how mathematicians think.
However, this lecture still aroused the curiosity of many Huaqing students.
Especially since the two sides started a debate yesterday.
"Have you heard? Qiao Ze's lecture at Yanbei University today directly omitted the question and answer process."
"Haha, if you say that, the other party will also be taught a lesson, right?"
"Hey, actually you can't say that. This time Qiao Ze's report at Yanbei University was said to be about solving the prerequisite problems of the mass gap hypothesis."
"Mass gap hypothesis? Isn't the title of the report about the correspondence between non-Abelian commutative groups and Riemannian spaces? How did it get to the mass gap hypothesis? Is it an exaggeration?"
"Really, the tutor of our school just posted a message on WeChat Moments, expressing his feelings. The screenshots have been circulated among the graduate students. He said that Qiao Shen may have found the key to solving the mass gap hypothesis. You don't know, I heard that all the professors at the press conference were stunned. By the way, it is said that several academicians were present at today’s report, and no one refuted Qiao Ze’s conclusion.”
"Um...Qiao Ze is really that fierce?"
"Who gave you the courage to call God Qiao by his first name?"
…
It is very rare that after the Yanbei University group mocked the Huaqing side yesterday, although there were some minor problems in this report, the Huaqing side did not ridicule the Yanbei side.
Everyone understands what the mass gap hypothesis will bring to the entire mathematical community if it is proven.
No, not just in mathematics, but also in physics.
Even if only the mathematical framework is proven, it can at least show that the most cutting-edge physics framework is based on a correct theoretical framework. This is tantamount to a shot in the arm for scientists studying particle physics. .
At least it will make research more confident.
At this moment, Qiao Ze was once again invited to the inevitable dinner.
It's just that today's meal is undoubtedly much larger than yesterday.
Not only professors from Yanbei University were present today, there were a total of five senior academicians of the School of Mathematics of the Chinese Academy of Sciences sitting at the big table of twenty people.
At this time, Yu Chenggong couldn't even talk and laugh as usual.
No way, this standard is indeed too high, especially for people in the university circle, and it also demonstrates Yanbei University's foundation in science.
Probably only Qiao Ze can maintain the same state as before.
It's not that Qiao Ze doesn't respect these senior academicians, it's all due to his personality.
After the greetings, while waiting for the food to be served, Xu Changshu, who took the initiative to sit next to Qiao Ze, actually chatted with Qiao Ze about something.
In fact, at the report meeting, Xu Changshu prepared some questions and planned to ask them.
But Qiao Ze turned around and walked off the podium. While Xu Changshu was stunned, he could only bury these problems in his heart.
Just a few simple discussions face to face made Xu Changshu feel that he had benefited a lot.
It strengthened his determination.
Since Qiao Ze doesn't want to come to the capital, then going to Xilin must be the right decision for him.
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