Late at night, a bright moon hangs in the sky, and bright lights are still shining in the hotel room.
Sitting in front of the solid wood desk, after an afternoon of struggle, Xu Chuan was still stroking the ballpoint pen in his hand.
Lines of calculations appeared like clouds and flowing water, leaving words of knowledge on the white manuscript paper.
For him, when the knowledge and inspiration in his mind are enough to support him in solving a problem, he will basically choose to deal with this problem first.
Even if you forget to eat and sleep over it.
Because he left the problem behind, he always felt unsatisfied.
It's like reading a novel and seeing the climax plot cut out of chapter by a doggy author, and you want to get out of bed and continue writing it yourself.
For him, when the problem is not solved, he will feel like he has unfinished business when he goes to bed at night.
Of course, something like mathematics relies on much more than hard work.
Hard work can raise your upper limit, but for mathematics, the collision of talent and inspiration is the decisive factor in raising the upper limit.
Moreover, never think that genius only relies on talent. In fact, geniuses often work harder than ordinary people.
...
The ballpoint pen in his hand left marks of knowledge one by one on the white manuscript paper. Looking at the formulas above, Xu Chuan took a deep breath, and then slowly exhaled happily.
For him, nothing is more pleasurable than solving problems and exploring the mysteries of the universe.
Maybe the process of solving problems and learning knowledge will be painful, but the satisfaction and pleasure brought by solving the problems will last forever.
Moving towards a goal, striving for it, and finally reaching the top, whether it is study, research, or other things, can bring people the ultimate pleasure.
Even if a long time has passed, when you think back on it, this sense of accomplishment can still bring you fulfillment and satisfaction.
In fact, this feeling is not exclusive to geniuses.
For ordinary people, for example, for an ordinary game lover, through their own efforts, they have learned a lot of skills, and then after a long period of time, they have reached the rank they dream of. This is also a similar experience.
After a long time, when I recall the goals I achieved after my original efforts and struggles, I will still be filled with emotion and satisfaction.
.......
The stars move and time passes.
When the last stroke came down, Xu Chuan had a satisfied smile on his lips.
Putting down his pen, he reached out from the table and picked up the manuscript paper he had been working on for two nights.
The manuscript paper in my hand is not very thick, just a dozen or so thin sheets, but it contains the complete formula for the second solution to the Yang-Mills equation.
Compared with the method of setting up invariant couplers of differentiable structures on high-dimensional manifolds, this method of using micro-element construction method to set a 'minimum amount' scalar field on the space-time manifold is more efficient.
More subtle and more concise.
Of course, the concise solution is also because he quoted many inferences that have been proven in the first solution.
Different paths lead to the same goal. In mathematics, even if we face different problems, many basic things can be used universally, let alone two different solutions to the same problem.
With a smile on his face, Xu Chuan carefully checked what was on the manuscript paper, and after confirming that there were no problems, he entered it into the computer.
He couldn't wait to share this paper with his colleagues outside.
After all, happiness alone is far inferior to happiness among others.
...
While Xu Chuan was busy sorting out his papers, the International High Energy Physics Conference organized by the Chinese Physical Society was also proceeding steadily and orderly.
In three days, more scholars participated in this conference than expected.
In particular, some lectures involving particle calculations, energy level calculations, etc. in the field of high-energy physics attracted not only physicists, but also some mathematicians.
In this aspect, I have to say that the most outstanding person is Amelia, who has been studying mathematical and physical calculation methods with Xu Chuan.
A lecture on calculating the energy level channels of high-energy particles attracted many mathematicians and physicists.
Even pure mathematicians such as Deligne and Terence Tao participated in this report.
Of course, they attended the lecture not only because they were interested in this mathematical method, but also because Amelia was that person's student.
These mathematicians wanted to see how much of his students had learned from him.
Sitting in front of the report desk, Tao Zhexuan listened to the report with great interest. Looking at the exquisite calculations on the screen, he couldn't help but sigh: "It's incredible. It's such a clever way to use the string breaking function to complete it."
The distribution calculation of n particles, mathematical methods can actually be applied to physics in this way."
Although he doesn't know much about physics, he can undoubtedly understand the mathematical content.
Moreover, from this report, he vaguely felt something familiar, as if he had seen it somewhere.
"This should be part of the research combined with the Xu-Xu-Weyl-Berry theorem, using eigenvalues and transverse momentum effects to find the dynamics of the target point. The idea is indeed quite sophisticated."
On the side, Deligne pushed up his glasses and said something.
Since last listening to his student's theoretical report on the unified framework of strongly correlated electronic systems, he has also learned some physics knowledge and understood some related content.
Among them, the Xu-Xu-Weyl-Berry theorem created by Xu Chuan and the method of calculating high-energy particle channels are naturally the focus.
Hearing this, Terence Tao also remembered where this sense of familiarity came from.
Smiling, he said: "Speaking of which, this is your disciple. If I remember correctly, she has solved Bloch's conjecture before, and she might hope to win the Fields Medal this year."
Hearing this, Deligne shook his head slightly and said: "There is hope, but I'm afraid it's not big. After all, when she solved Bloch's conjecture, her mentor had already created a fairly universal tool."
This chapter is not finished yet, please click the next page to continue reading the exciting content! For the mathematical community, solving a world-class conjecture is very important, but more important are the ideas and mathematical tools created in solving the problem.
Although Bloch's conjecture is difficult enough, with the appropriate mathematical tools, the difficulty of solving it has undoubtedly been reduced a lot.
If there were no algebraic variety and group mapping tools, solving Bloch's conjecture and winning the Fields Medal would be basically a sure thing.
On this basis, coupled with the competition from others and the fact that Amelia is less than thirty years old, it is unlikely that the International Mathematical Union will consider awarding the Fields Medal to her.
Of course, after one or two more years of polishing and some breakthroughs in mathematics, I believe this Fields Medal will be indispensable.
It has to be said that, not to mention his perverted student, the students he taught are also geniuses among geniuses.
The Grothendieck line did not flourish in his hands, but in the hands of his students, there was hope.
.......
After organizing the second paper on solving the Yang-Mills equation onto the computer, Xu Chuan glanced at the 'Upload Successful' window that popped up, crossed his fingers and stretched for a long time.
I looked at the time on my phone and saw that today is May 27th. It just so happened that the three-day High Energy Physics Conference was coming to an end.
If you upload the paper before the closing ceremony, those scholars who have not yet left will probably be very happy.
With a smile, Xu Chuan reached out to control the mouse, clicked on the arxiv preprint website, and uploaded the paper on the second method of solving the Yang-Mills equation.
Looking at the successfully published paper, he smiled and stood up from the chair, stretched his muscles and went to the bathroom to take a shower.
After staying up for two nights, it was time to take a good rest.
As for the situation outside, we will know tomorrow.
...
In the early morning of the next day, just as the Chinese Physical Society was preparing to bring the International High Energy Physics Conference to a perfect conclusion, in the control room backstage, a young assistant hurriedly opened the door and barged in.
"President, the latest news is that Academician Xu has published the second method of solving the Yang-Mills equation on arxiv." Without taking a breath, the young assistant spoke quickly.
In the control room, everyone was stunned.
Academician Zhang Jie, the president of the Chinese Society of Physics, who was preparing for the closing ceremony, came to his senses, looked at his assistant and quickly asked: "Is the news true?"
The assistant nodded and said: "Academician Xu uploaded it at around one o'clock in the morning. I have already downloaded and printed out the paper."
As he spoke, he quickly handed over the manuscript in his hand.
Zhang Jie, President Zhang, took the manuscript and quickly read it. The signature of the paper was indeed that of Academician Xu.
"It's unbelievable that he perfected the second solution so quickly."
Looking at the paper in his hand, Zhang Jie couldn't help but take a few deep breaths of air to calm down the shock in his heart.
As the chairman of the Chinese Physical Society and an academician of the School of Physics of the Academy of Sciences, his academic ability is naturally very strong, but he never thought that someone could solve the Yang-Mills equation in just two or three days.
The second solution method was perfected.
In his opinion, this kind of thing, even if a complete idea is already in place, will take at least a month or even longer to accomplish.
After all, this is not a small equation, let alone a second completely different solution. Even if it can find its final general solution and prove it, it is a miracle among miracles.
Let alone solving it again from another angle.
Taking a deep breath and looking at the manuscript paper in his hand, Zhang Jie seemed to remember something. He quickly raised his head, looked at his assistant, and gave instructions:
"Find a way to contact Academician Xu and ask for his opinion. If he is willing, we can postpone today's closing ceremony and ask him to give another report. I believe those scholars who have not left yet are also waiting. "
The young assistant nodded, quickly turned and left.
.......
On the other side, Xu Chuan, who got into Zheng Hai's car and was going to attend the closing ceremony, also received a request from the Physics Society.
He did not refuse the invitation to give a report at the closing ceremony and agreed directly.
Although the general solution to the Yang-Mills equation has been found, taking another route is believed to be what the scholars who came to attend the lecture are looking forward to.
Of course, for him, using this exchange meeting to expand China's influence in the academic world as much as possible is also what he hopes to see.
At ten o'clock in the morning, in the Great Hall, what was originally the closing ceremony was temporarily replaced by a report meeting on the 'Yang-Mills Equation'.
Although there were far fewer scholars present than on the first day, the atmosphere was still lively.
Standing on the reporting table, Xu Chuan wrote mathematical formulas on the blackboard while explaining the details of the steps.
Even though it no longer affected the results of the Yang-Mills Solution Existence Report, he still explained the core and details of the paper seriously, striving to let more people understand this new method.
The blackboards were filled with calculations, and every line of knowledge came out of his mouth. When the last line of formulas fell, Xu Chuan held the chalk and turned to look at the audience in the auditorium. He took a deep breath and said slowly. :
"The above is the second method of solving the Yang-Mills equation."
"I'm sorry that it's difficult for you to understand this method temporarily, but I hope it can bring some new thinking to everyone here and scholars around the world."
"Sometimes, what we pursue is far more than the answer. The path to explore the answer is also the most beautiful scenery on our academic road!"
The moment the words fell, the audience in the auditorium stood up excitedly.
Warm applause surged in like a tidal wave, echoing in the auditorium that could accommodate thousands of people.
Looking at the blackboard full of calculations on the reporting table, Terence Tao applauded and looked at Edward Witten next to him, and said with emotion: "You said before that he could perfect this method in five days. I find it incredible, and now, he did it in just three days."
"I now seriously doubt whether there is a quantum computer installed in his brain. The efficiency is so terrifying."
On the side, Edward Witten smiled and said: "He is such a person who is good at creating miracles."
Hearing this, Terence Tao smiled and said, "Speaking of which, aren't you going to study your string theory with him? With his ability and wisdom, maybe you can see some hope in your lifetime?"
Looking at the figure standing on the stage, Witten was silent for a moment before saying: "If he is interested, he will definitely come to me."
"If he's not interested, why should I waste his time on this?"
"His wisdom not only belongs to himself, but also belongs to all mankind."
"Compared with seeing hope in string theory, I would rather he conduct more research in his field of interest to promote academic development and even the development of this era."
