Chapter 362: This kind of wisdom is difficult to understand. Witness a historic moment!
‘At the Mathematics Roundtable, the scholars here thought carefully about the so-called ‘creation tools’ and became a little depressed, but they had no way to refute it.
Because Wang Hao told the truth.
The era in which Einstein lived 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.
The past few decades have been an era of information explosion. The development of computer technology has changed the world and is considered to be the information revolution of mankind.
But the information revolution is not a theoretical revolution.
No matter how many changes computer technology brings to mankind, it is only a technology, not a theory.
In recent years, the development speed of basic theory has indeed been very slow, far behind the vigorous period a hundred years ago.
If Einstein and Wang Hao are compared together, Einstein's luck is indeed very good. When studying the general theory of relativity, he has been troubled by mathematical tools. He hopes to have a special geometry as a general theory.
carrier of the theory of relativity, thereby conducting an in-depth analysis of its research content.
Later he found Grossman.
Grossmann was a classmate of Einstein. He suggested that Einstein study Riemannian geometry and tensor analysis.
It was not a modern era of information explosion. The Riemannian geometry created by Riemann fifty years ago had almost no reputation at that time. It was regarded as a 'hypothetical' mathematical research. It was difficult to find relevant information.
It's not easy.
But with the help of Grossmann, Einstein immediately obtained the content of Riemannian geometry, and then completed the shaping of the general theory of relativity based on this.
From this we can understand how important it is for theoretical physicists to have mathematical tools that meet the requirements.
If a physical theory cannot be supported by mathematical tools, it will be almost impossible to accomplish it.
Just like the thought of Alexander Grothendieck, his research and development of algebraic geometry is to create mathematical tools that can be used. He believes that the main direction of mathematics is to conduct in-depth theoretical research to create a large number of mathematical tools.
'Mathematical tools,.
In this way, research in other disciplines can find suitable mathematical tools.
The significance of mathematical theoretical research is reflected here.
Annihilation physics is a brand new research direction, just like Einstein's research on the theory of relativity. The new direction naturally requires new mathematical tools.
Regarding the most basic and core problem of mass point shaping in annihilation physics, it is naturally necessary to find mathematical tools that are suitable for use.
It can be said that annihilation physics is lucky.
Because it was Wang Hao who studied the physics of annihilation, and he himself was the top mathematician. Without the mathematical tools to use, he simply went to study it himself...
"Alas~~~"
Everyone else sighed, and everyone's expressions became very complicated.
Wang Hao is indeed telling the truth. He is more interested in annihilation physics. The direct purpose of studying higher-order mass point functions is to construct mass points.
Mathematical results are only incidental.
If possible, he wished he could skip the mathematical research stage and directly find the "suitable tool to construct mass points..."
The atmosphere of the round table meeting was silent for a long time.
Wang Hao continued to talk about the issue of mass point shaping, "I think the directly related research is the second issue of higher-order mass functions."
"This is not to prove the second question, but the study of prime numbers on nodes can support the shaping of mass points."
After he gave a brief explanation, he also gave others a chance to speak, and the others immediately started talking.
Everyone here is a top international mathematician and has studied higher-order particle functions, so naturally they can express some personal opinions.
The one who talked about it the most was Flot Alsos. Alsos's 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 higher order
Mass point function."
"If we talk about shaping mass points, Mr. Wang Hao, it involves the distribution law of prime number pairs of nodes, or some kind of characteristics, right?"
"When talking about the distribution law, perhaps we can compare it with another similar mathematical problem - Mersenne prime number."
Flot-Alshaus said, "Although I have not done in-depth research, I thought of this. Mr. Wang Hao, you once conducted a study on the distribution of Mersenne primes."
"I have read the paper, calculation function and judgment function. If we can study the node distribution of some prime numbers in this way, maybe it can help the study of mass points?"
What Altos said made Wang Hao's eyes light up.
The two immediately started discussing.
Others occasionally said something and expressed their own opinions.
In the process of continuous discussion, Wang Hao even discovered that the task of quality point research had "two points" and the inspiration value increased. He immediately discussed it with others more actively.
Lunch was spent in discussion.
After the meal was over, no one got up and left, and the discussion continued. They talked about the issue of "whether super-large prime numbers are meaningful for node research."
Wang Hao said, "I think that for the study of mass points, prime numbers have no meaning to the numerical size of nodes. Whether it is a large number or a small number, it may only represent a kind of mark."
"Just like a student's student number, each person's identity number is just a mark. The numbers are just codes for each point, and their underlying characteristics may be the same."
This is also the last meaningful content.
After Wang Hao finished speaking, he checked the time, stood up and said with a smile, "That's it for today's round table meeting. We can continue to communicate tomorrow and in the next two days, but now, I have to go and rest."
The others immediately exchanged pleasantries.
Wang Hao had to go to rest. He had been busy all morning and had to give a report for more than two hours in the afternoon. He had to go back to refresh himself.
This chapter is not over yet, please click on the next page to continue reading! Soon.
The time was close to three o'clock in the afternoon, and the report meeting officially started at three o'clock in the afternoon.
The main consideration here is the issue of taking a break at noon. It is easy for people to feel sleepy at noon, so it is better to allow more rest time for scholars so that they can listen to the afternoon report more energetically.
When the time approached, Wang Hao, Qiu Hui'an, and Ding Zhiqiang walked in from the side door. Then Wang Hao took Qiu Hui'an to the stage and made an introduction, "This is my student Qiu Hui'an, who is studying high-order particle functions."
The second question is related to the field of number theory, and his work has made great contributions.”….
"Qiu Hui'an will explain the initial content in the afternoon..."
After Wang Hao finished speaking, he walked off the stage.
Qiu Hui'an stayed on the stage with anxiety. His situation was better than Ding Zhiqiang, because Ding Zhiqiang was the first to come on stage, and he already had Ding Zhiqiang as a reference.
only……
He seems not as popular as Ding Zhiqiang.
This is mainly related to research contribution. Ding Zhiqiang provided the most important ideas. For cutting-edge research, a good idea or a sudden inspiration is more important than subsequent efforts. Just like investing, as long as you are looking for
If you go in the right direction, you can still make money even if you make a lot of mistakes. If you don't find the right direction, no matter how much effort you put in, you can ensure that you don't lose money in the end, which is already amazing.
Of course, as long as you go on stage to give an explanation, you will definitely become the subject of discussion among the scholars in the audience.
Qiu Hui'an also has a certain reputation.
"This is another student of Wang Hao. It's amazing. He completed the proof of Legendre's conjecture a few years ago."
"Legendre's conjecture? It's amazing!"
"It is indeed remarkable. It is said that he was still studying for graduate school at the time...but now, he is only studying for a Ph.D...."
"Wang Hao is very good, and his students are really good."
Legendre's conjecture is far inferior to the Riemann's conjecture, but it is also a mid-range or above difficult problem in the field of number theory. Being able to complete the proof of Legendre's conjecture is enough to get a professorship in many universities.
Now Qiu Hui'an is explaining the beginning of the proof of the second problem of higher-order mass point functions. Most of it involves number theory content, and also includes part of the corresponding geometric analysis.
To put it simply, what he explains is the basic analysis of proof.
Qiu Hui'an, who was standing on the stage, was obviously a little nervous. Even though he was mentally prepared and had Ding Zhiqiang's explanation as a model, facing a group of international math experts, just being alone on the stage was stressful.
Every word Qiu Hui'an said must be carefully considered for fear that any mistakes would be pointed out.
Academic reports and academic conferences have nothing to say about discipline.
In many academic reports and academic conferences, if the speaker makes a mistake, the scholars in the audience will point it out on the spot. Scholars are not bureaucrats and do not care about 'face' at all.
When some academic lectures are being conducted, it is not strange for the speaker to exchange insults with the scholars who pointed out the problems, or even stage a martial arts scene, because he feels that he has been 'picked out' by the audience.
Fortunately, scholars still give Wang Hao face.
Even when Qiu Hui'an was explaining, he occasionally made mistakes in his words and writing, and it was only when someone pointed out his mistakes in a friendly way that the explanation went on smoothly.
The content explained by Qiu Hui'an is indeed not very profound. Most of it is the analysis of numerical patterns similar to the sieve method, and the follow-up involves some functions, corresponding geometry and other issues.
These are the basis of the proof.
soon.
After an hour, Qiu Hui'an kept explaining carefully, but there was a slight delay.
Some mathematics seniors in the front row were very dissatisfied because it was relatively easy to explain the content. In addition, they all had read the paper and felt it was a waste of time. They hoped that Wang Hao would come up quickly and explain the most critical content...
Under this pressure, Qiu Hui'an still finished the explanation, then turned around and bowed slightly, and hurriedly walked to the side.
Wang Hao then walked onto the stage.
He did not rush to continue explaining, but said, "Everyone will take a break for a while. Anyone who has any questions about what was just discussed can ask them now and I will answer them."
This is to leave time for scholars to rest and ask questions.
Qiu Hui'an's explanation is not very clear. Some scholars in the back row still have problems, especially when it comes to functions and geometric content at the back. There are several key points that are not easy to understand.
After someone stood up to ask a question, Wang Hao explained it in detail.
When it was replaced by Wang Hao to explain, the scholars in the audience felt suddenly enlightened, and some things that they had not understood were understood.
Many people lamented, "This is the gap!"
"Wang Hao's explanation is obviously much clearer. Perhaps Wang Hao has a deeper understanding of the process..."
"Yes, after listening to the explanation just now, I understood it immediately."
"That doctoral student is still not good..."
"Of course, no one can compare with Wang Hao..."
The Q&A break lasted for twenty minutes, and then Wang Hao entered the follow-up content.
At this time, he became very serious, because the subsequent content contained a lot of analysis of five-dimensional graphics, which was not easy to understand and was also the most difficult part to understand in the proof process.
He stood on the stage and said seriously, "We use these comforts to express the tendency of graphics. Let's take a look at this sequence..."
"We use the method of shaping the rotation of graphics. A line, a surface, or a four-dimensional figure will all have a direction, and we found in our research that the direction will rotate..."
"What we are studying is the overall graph, not a single function. Let's fix the above functions..."
"In this step, you can see that the intersection of k3 and k4 is on the complex plane. Then convert it to express..."
"This is how the complex plane is generated. Let's continue the analysis based on the morning's conclusion. The next step is d..."
"Let's all come and see..."
While Wang Hao was explaining eloquently, the audience
The audience listened very carefully, and they followed the steps step by step and slowly understood the process.
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After explaining a major difficulty, some scholars at the conference were able to confirm that the proof was completely correct, because they already understood the subsequent content.
James Meners is one of them. He is a top scholar in the field of analytic number theory. He won the Fields Medal for his achievements in understanding the structure of prime numbers and Diophantine approximation.
At this time, Menas was already lying on the chair with his arms folded, and a relaxed smile appeared on his lips.
Qiu Chengwen was sitting next to him. He took a sip of the water in front of him, then rubbed his forehead vigorously, turned his head and noticed Menas, and said, "You should be sure, right?"
"I'm sure."
Meners nodded affirmatively and sighed, "The Riemann Hypothesis has also been overcome. Goldbach's Hypothesis, Riemann's Hypothesis, coupled with Atting's constant, hail conjecture and other results, in the analysis of number theory problems, Wang Hao
He can be worthy of being called the first person.”….
Qiu Chengwen also sighed a lot in his heart, but in the end he could only say, "It's incomparable..."
Menas said, "Before today, I always thought that the smartest Chinese was Terry (Tao)."
"Why?" Qiu Chengwen didn't understand.
"Terry is different. He is really a super genius. I have met him several times and I am impressed by his intelligence every time. Wang Hao has more achievements, but genius does not necessarily depend on results. I know Terry
, so I think so."
"But now, I have changed my view. I don't know if you have noticed that during the entire report process, Wang Hao did not even make a single mistake. Regarding the arguments for some complex issues, he gave the results without even thinking about it.
.”
Qiu Chengwen nodded thoughtfully.
"This is a very complex research, with three papers and one hundred pages, involving demonstration of high-dimensional graphics and complex functions."
"Even with the research that has been done, it is very complicated to sort out the whole..."
"Wang Hao...I believe he can rewrite the paper on the spot without making any mistakes."
"This kind of memory, this understanding of research, this kind of wisdom...it's hard to understand!"
Menas used the word "incomprehensible" to describe it, which is enough to show his inner shock.
The two of them sighed together.
On stage.
Wang Hao finally completed the last step of the argument and said the last sentence, "Based on equations 7, 8 and 9, theorems 3 and 6, and argument 5, two points can be proved. First, the minimum prime number is for all prime numbers of the node function.
The points are all on the β plane. In addition, if you substitute a prime number with the value a, you will definitely get another prime number."
"The above is all the proof."
He put down his pen, walked to the center of the podium, and then said two words to everyone in the audience, "Thank you!"
As soon as he finished speaking, the whole place was in an uproar!
The applause lasted for a long time, cheers filled everywhere, and the lights in the center of the podium shone, recording this historic moment!
Everyone present also witnessed the moment when the Riemann Hypothesis was proved.