Chapter 362: This Wisdom, Incomprehensible, Witnesses a Historic Moment!
At the Mathematics Roundtable, the scholars present were a little depressed when they thought carefully about the so-called "creation tools", but they had no way to refute it.
Because Wang Hao is telling the truth.
Einstein's era can be said to be an era of vigorous development of mathematics, an era of vigorous development of scientific theories, and an era of vigorous development of science and technology.
In recent decades, it has been the era of information explosion, and the development of computer technology has changed the world, which is considered to be the information revolution of mankind.
However, the information revolution is not a theoretical revolution.
No matter how much computer technology has changed human beings, it is only a technology, not a theory.
In recent years, the development of basic theories has indeed been very slow, far from catching up with the vigorous period of a hundred years ago.
If you compare Einstein and Wang Hao together, Einstein's luck is indeed very good, when studying the general theory of relativity, he has been troubled by the 'mathematical tools, he hopes to have a special geometry, as the carrier of the general theory of relativity, so as to conduct an in-depth analysis of its research content.
Later he found Grossman.
Grossman was a classmate of Einstein's. He suggested that Einstein study Riemannian geometry and tensor analysis.
At that time, it was not the modern era of information explosion, and the Riemannian geometry created by Riemann fifty years ago was almost not famous at that time, and it was regarded as a "hypothetical, mathematical research", and it was not easy to find relevant information.
But with Grossman's help, Einstein immediately got the content of Riemannian geometry, and then completed the shaping of the general theory of relativity on this basis.
It is easy to see how important it is for theoretical physicists to have a mathematical tool that meets the requirements.
If a physical theory is not supported by mathematical tools, it is almost impossible to accomplish it.
Just like the idea of Alexander Grothendieck, who studied and developed the discipline of algebraic geometry, he made mathematical tools that could be used, and he believed that the main direction of mathematics was the in-depth theoretical study to produce a large number of mathematical tools.
In this way, the research of other disciplines can find suitable mathematical tools.
The significance of the study of mathematical theory is reflected here.
Annihilation physics is a completely new research direction, just like Einstein's research on the theory of relativity, a new direction naturally requires new mathematical tools.
In order to solve the problem of shaping the most basic and core mass point of annihilation physics, it is natural to find mathematical tools that are suitable for use.
It can be said that the physics of annihilation is lucky.
Because it was Wang Hao who researched the physics of annihilation, and he himself was the top mathematician, there were no mathematical tools to use, so he simply studied it himself......
"Ah~~~"
Everyone else let out a long sigh, and everyone's expressions became very complicated.
Wang Hao is indeed telling the truth, he is more interested in the physics of annihilation, and the direct purpose of studying the function of higher order particles is to construct mass points from this.
Mathematical results are only incidental.
If he could, he would have been able to skip the math research stage and go straight to the 'right tools' to construct the mass points. ….
The atmosphere of the round table was silent for a while.
Wang Hao continued to talk about the problem of mass point shaping, "I think that the research that is directly related is the second problem of the higher-order mass function."
"It's not to prove the second problem, but the study of prime numbers on nodes can support the shaping of mass points."
After a brief explanation, he also gave the others a chance to speak, and the others immediately spoke.
Everyone here is a top mathematician in the world, and they have all studied the higher-order particle function, so they are naturally able to express some personal opinions.
Among them, the most talked about is Flot Althos, whose research direction was completed ahead of schedule by others, which made him feel very depressed, but he cherished the opportunity to communicate with Wang Hao, "I have been studying the higher-order particle function."
"If you talk about shaping the mass point, Mr. Wang Hao, because it involves the distribution law of prime numbers to nodes, or some kind of characteristic, right?"
"When we talk about the law of distribution, we may be able to compare it with another similar mathematical problem, the Mersenne prime."
"I haven't done much research, but I've thought about this, Mr. Wang Hao, you once had a distribution study with a Mersenne prime."
"I've read that paper, computation functions and decision functions, if I can study a part of the distribution of prime pairs in this way, maybe it can help the study of mass points?"
What Artos said made Wang Hao's eyes light up.
The two immediately began to discuss.
Others also occasionally said something and expressed their opinions.
In the process of continuous discussion, Wang Hao even found that the task of quality point research, with 'two points', the inspiration value increased, and he immediately discussed it with others more actively.
Lunch was spent in discussions.
At the end of the meal, no one got up and left, and they continued to discuss, and they talked about the question of whether super-large prime numbers make sense for node research.
Wang Hao said, "I think that for the study of mass points, prime numbers are meaningless to the numerical size of nodes, whether the numbers are large or small, they may only represent a kind of marking."
"It's like a student's student number and everyone's identity number, just a mark, and the number is just a code expression for each point, and its underlying characteristics may be the same."
This is also the last meaningful content.
After Wang Hao finished speaking, he looked at the time, got up and said with a smile, "That's all for today's round table, tomorrow and the next two days, we can continue to communicate, but now, I have to rest."
The others immediately exchanged a few pleasantries.
Wang Hao must go to rest, he has been busy for a morning, and he has to report for more than two hours in the afternoon, and he must go back to recuperate.
Soon.
It was close to 3 o'clock in the afternoon, and the report meeting officially began at 3 o'clock in the afternoon.
The main consideration is the noon break, the noon time period is easy to make people sleepy, so leave more time for scholars to rest, so that the afternoon report can be more energetic.
When the time was approaching, Wang Hao walked in from the side door with Qiu Hui'an and Ding Zhiqiang, and then Wang Hao pulled Qiu Hui'an to the stage to make an introduction, "This is my student Qiu Hui'an, and his work has made great contributions to the content of the second problem of higher-order particle functions in the field of number theory." ….
"In the afternoon, Qiu Hoi An will explain the first content......
After Wang Hao finished speaking, he walked off the stage.
Qiu Huian stayed on the stage with apprehension, and his situation was better than Ding Zhiqiang, because Ding Zhiqiang was the first to come to power, and he already had Ding Zhiqiang as a reference.
Merely......
He doesn't seem to be as popular as Ding Zhiqiang.
This is mainly related to research contributions, Ding Zhiqiang provided the most important idea, the most cutting-edge research, a good idea, a sudden inspiration, more important than follow-up efforts, just like investment, as long as you find the right direction, even if there are a lot of mistakes, you can make money, if you can't find the right direction, no matter how much effort you put in, in the end you can ensure that you don't lose money, it's already very remarkable.
Of course, as long as he comes to the stage to give an explanation, he will definitely become the object of discussion among the scholars in the audience.
Qiu Hui'an also has a certain reputation.
"This is another student of Wang Hao, who is very remarkable, and completed the proof of the Legende conjecture a few years ago."
"Legend's conjecture? It's amazing!"
"It's really amazing, it's said that he was still in graduate school at the time...... But now, it's just a Ph.D.......
"Wang Hao is very powerful, and his students are really not bad."
The Legendre conjecture is far inferior to the Riemann conjecture, but it is also a mid-range or above problem in the field of number theory.
Now Qiu Hui'an is explaining the beginning of the second problem proof of the higher-order particle function, most of which involves the content of number theory, including some corresponding geometric analysis.
In a nutshell, he talks about the fundamental analysis of proofs.
Qiu Hui'an, who was standing on the stage, was obviously a little nervous, even if he was mentally prepared and Ding Zhiqiang's explanation was a model, but in the face of a group of international mathematics elders, it was pressure to be alone on the stage.
Every sentence Qiu Hui'an said had to be carefully considered first, for fear that he would be pointed out to be wrong.
Academic reports, academic conferences, but nothing good 'discipline', at all.
When many academic reports and academic conferences are conducted, if the speaker makes a mistake, the scholars in the audience will point out on the spot, and the scholars are not bureaucrats and will not care about any 'face' at all.
When some academic reports are being conducted, it is not strange for the speaker to be 'faulted' by the audience, and to spray each other with the scholars who pointed out the problems in the audience, or even stage a martial arts scene.
Fortunately, the scholars still give Wang Hao a lot of face.
Even when Qiu Hui'an was explaining, there were occasional mistakes and writing, but they were only kindly pointed out, so that the explanation went on smoothly.
The content explained by Qiu Hui'an is indeed not very profound, most of them are similar to the analysis of numerical laws of the sieve method, and the follow-up involves some functions, corresponding geometry and other issues.
These are the basis for proof.
Soon.
After an hour, Qiu Hui'an has been carefully explaining, and it has been slightly delayed.
Some of the math elders in the front row were very dissatisfied, because the content was relatively easy to explain, and they all felt that they were wasting time after reading the papers, and they all hoped that Wang Hao would hurry up and talk about the most critical content. ….
Under this pressure, Qiu Hui'an still finished the explanation, then turned around and bowed slightly, and couldn't wait to walk to the side.
Wang Hao walked to the stage at this time.
He didn't rush to continue the explanation, but said, "Let's rest for a while, and if anyone has any questions about what just now, they can ask them now, and I will answer them."
This is to give the scholar time for rest and questions.
Qiu Hui'an's explanation is not very clear, and some scholars in the back row still have problems, especially when it comes to functions and geometry in the back, and there are several key points that are not easy to understand.
After someone stood up and asked a question, Wang Hao explained it in detail.
When it was replaced by Wang Hao's explanation, the scholars in the audience all felt suddenly enlightened, and some things that they couldn't figure out also understood.
Many people sighed, "This is the gap!"
"Wang Hao's explanation is obviously much clearer, perhaps it means that Wang Hao's understanding of the process is more in-depth......
"Yes, after listening to the explanation just now, I understood it at once."
"That PhD student still can't do it......
"Of course, no one can compare with Wang Hao......
The rest and Q&A lasted for twenty minutes, and then Wang Hao entered the follow-up content.
At this time, he became very serious, because there was a lot of analysis of five-dimensional graphics in the follow-up content, and it was not easy to understand, and it was also the most difficult part of the proof process.
Standing on the stage, he said seriously, "Let's use these comforts to express the tendency of the figure, and let's see, this one column......
"We use the method of shaping the rotation of the figure, a line, a surface, or a four-dimensional figure will have a direction, and we found in our research that the direction will rotate......
"The study is of the overall graph, not a single function, so let's fix the above functions ...... below."
"In this step, you can see that the intersection of k3 and k4 is on the complex plane, and then convert it to express ......."
"This is how the complex plane came about, and we continue to analyze it based on the conclusions of the morning, and the next step is the D ......."
"Let's see ......"
When Wang Hao was talking about the explanation, he was off the stage
The audience listened very carefully, and they followed the steps one by one and slowly understood the process.
Time flows in earnest.
When a big difficulty was explained, some of the scholars in the room were able to confirm that it was completely correct, because they had already understood the follow-up.
One of them is James Menas, a leading scholar in the field of analytic number theory, who won the Fields Medal for his work in understanding the structure of prime numbers and the approximation of the Diophantine diagram.
By this time, Menas was already lying on the chair with his arms crossed, and the corners of his mouth were also smiling lightly.
Qiu Chengwen sat next to him, he picked up the water in front of him and took a sip, then rubbed his forehead vigorously, turned his head to notice Menas, and said, "It should be sure, right?"
"Sure."
Menas nodded affirmatively and sighed, "The Riemann conjecture has also been overcome, the Goldbach conjecture, the Riemann conjecture, plus the results of the Artin constant, the hail conjecture and other achievements, Wang Hao can be called the first person in the analysis of number theory problems." ….
Qiu Chengwen also sighed a lot in his heart, and in the end he could only turn into a sentence, "It's not comparable......
"Before today, I always thought that the smartest Chinese were Terry (Tao Zhexuan)."
"Why?" Qiu Chengwen didn't understand.
"Terry is different, he's such a super genius, I've met him a few times, and every time I've been impressed by his cleverness. Wang Hao's achievements are more, but genius doesn't necessarily look at results, and I know Terry, so I think so."
"But now, I've changed my mind. I don't know if you have noticed that in the whole process of the report, Wang Hao did not even make a small mistake, and he gave the results for the argumentation of some complex issues without even thinking about it."
Qiu Chengwen nodded thoughtfully.
"It's a very complex study, three papers of 100 pages, involving the demonstration of high-dimensional graphs, complex functions."
"Even if the research has already been done, it is very complicated to sort it out as a whole......
"Wang Hao...... I'm sure he'll be able to rewrite the paper on the spot without any mistakes."
"This memory, this understanding of research, this wisdom...... Incomprehensible!"
Menas described it as 'incomprehensible', which is enough to show the shock in his heart.
The two sighed together.
Stage.
Wang Hao finally completed the last step of the argument, and also said the last sentence, "According to Eq. 7, 8 and 9, theorems 3 and 6, and discussion 5, two points can be proved, first, all the prime points of the minimum prime pair node function are in the β plane, and in addition, substituting the prime number with the value a must obtain another prime number."
"That's all there is to it."
As he spoke, he put down his pen and walked to the center of the podium, and then said two words to everyone in the audience, "Thank you!"
As soon as the voice fell, the audience boiled!
The applause lasted for a long time, cheers were everywhere, and the lights in the center of the podium were shining, recording this historic moment!
Everyone present also witnessed the moment when the Riemann hypothesis was proved.
Don't eat baby pumpkins