Genius of the Rules-Style System

Early morning, hotel.

Edward Witten got up early and sat in front of the computer sorting out documents. He was busy for more than an hour.

"Dong dong dong~"

There was a knock on the door.

Edward walked over and opened the door, frowned and said dissatisfied, "Lars, why are you so late?"

"Sorry, Professor."

Lars Selberg was a little embarrassed, but still complained, "I slept too late last night."

Edward nodded and said nothing.

Selberg didn't sleep late because he was playing, but because he was helping him organize information, including some string theory research materials, some incidental knowledge materials, and even course materials offered by Princeton University.

The master and apprentice were busy until after twelve o'clock before going to bed. It was only seven o'clock in the morning, and Selberg was not lazy.

The day begins.

Edward was busy washing up.

Selberg walked into the room and saw the things on the table. He knew that the teacher must have gotten up very early, and he frowned a little depressed.

When the two of them went to the restaurant to have breakfast together, Selberg couldn't help but ask, "Professor, is it worth paying so much attention to? It's just an academic exchange. If he doesn't even know the basics, how can he help you? ?”

"you are wrong."

Edward took a sip of milk from the cup, looked at Selberg, and explained after a moment, "When you do in-depth research in a certain field and get results, you will know that many things are similar. And in some fields, even if you devote a lot of time, you may not be able to compare with other people’s efforts for a few days, do you understand?”

"You mean talent?"

"No."

Edward shook his head and said, "It's not just about talent, it's also about whether you take it seriously. I've got Fields, but it doesn't mean that my mathematical research ability is better than those mathematicians who haven't got Fields. "

"Whether you win a prize or not, often just depends on luck."

"Because I only use mathematics as a tool to study physics, rather than specifically studying mathematics."

"He shaped the waveform diagram. It is a very, perfect and amazing thing. Maybe we can learn more about the waveform diagram with the help of data, but we will never be able to match him in application."

"Even if he doesn't understand string theory at all, his understanding of waveform diagrams will be of great help to me."

Edward explained seriously, and he also attached great importance to Selberg.

Selberg is very talented and willing to work hard to do research. He is his most proud student in the past ten years and may become a top physicist in the future.

Selberg seemed to understand and nodded. In fact, he just felt that Edward took it too seriously and that some tasks were meaningless and a waste of time.

After an exchange with Zhao Yi yesterday, Edward knew that Zhao Yi had no understanding of string theory, so he and Selberg compiled a lot of information and made a lot of preparations, with the purpose of explaining the necessary knowledge to Zhao Yi.

Selberg felt a little sour in his heart.

He is Edward's student!

Why... Edward pays so much attention to a guy who doesn't understand string theory at all? Knowing that the other party does not understand string theory, you still spend a lot of time compiling information, just to let the other party learn the necessary knowledge?

Selberg could only smile bitterly.

…

It was only eight o'clock when breakfast ended, and Edward called Zhao Yi.

Zhao Yi is sleeping.

He stayed at home alone. If he could get up later, he might as well sleep a little longer. He didn't expect the phone to ring so early.

"All right!"

"I am at home!"

"bring it on!"

Zhao Yi replied a little helplessly. He knew that Edward couldn't hide. Since he couldn't hide, he simply greeted him head-on. He got up, washed up, ate a few bites of milk bread, and waited for Master and Disciple Edward to come.

This time there was no one else.

Zhao Yi vacated the table in the study room and started chatting with Edward in the study room. They were talking about very professional string theory.

Edward took out several pages of documents and began to explain them in a targeted manner.

The atmosphere in the study room was a bit like a lecture. Edward kept explaining the materials. Zhao Yi listened attentively and occasionally took notes with a pen.

The same goes for Selberg, but he remembers more than Zhao Yi.

One teacher and two students.

Yesterday, Selberg didn't pay too much attention. He just felt that Edward's speech was very out of the ordinary, and it included a lot of professional mathematical calculation content. He just felt that Zhao Yi could keep up with the ideas because Zhao Yi was a top mathematician.

Now Selberg sees a problem.

He could understand most of what Edward said, but there was also some esoteric and unexplored knowledge, which was probably the content of Edward's research or some papers.

Whenever there was new content, it was difficult for Selberg to keep up. He could only keep taking notes with a pen. Occasionally, he couldn't help but remind Edward to speak slower.

At this time, Selberg discovered that Zhao Yi was not unable to keep up at all.

Even though Zhao Yi often asked some very basic questions at the beginning, obviously because he did not know the knowledge in the relevant fields, he was able to discuss with Edward in the field of mathematical calculations, and even wrote a column equation, which was what Edward said. content needs to be corrected?

Is this a top mathematician?

Is this what Mr. Witten said, that all top-level domain knowledge is interoperable?

Selberg felt so incredible that he was too embarrassed to interrupt, saying that he could no longer understand some of the words.

When we are both students, the gap is really big!

…

The exchange on the second day could not be said to have convinced Selberg, but he understood "how high the mathematical level of mathematicians who can crack Goldbach's conjecture is."

Those obscure formulas and proofs were completely understood by the other party after only listening to them once. Some of them could even be corrected, which made Edward fall into thinking.

So Edward said, "Even if he doesn't understand string theory, it's important to communicate with him." Selberg already understood.

At least in the field of mathematics, even teachers seem to be different from each other.

On the third and fourth days that followed, Selberg simply sat aside and became a silent audience.

One is that the content is so profound that it is completely incomprehensible.

He did understand what he was talking about specifically. Edward was talking about the multi-dimensional space problem he was studying. Multi-dimensional space was derived from string theory. He tried to shape formulas to explain multi-dimensional space, but the things listed were completely incomprehensible. It all seems abstract.

What it is exactly depends on your imagination.

Secondly, Zhao Yi seemed to have absorbed enough knowledge and there was no need to explain anything. He had been discussing with Edward continuously.

Now is the right mode of communication.

Edward felt nothing while he was in it, but Selberg was always beside him. The so-called 'bystander's knowledge', what surprised him most was, "This guy actually understood everything the professor said in two or three days?" Remember everything?"

"Even if you spend ten hours a day, it will only be thirty hours at most by now, right?"

"I have been with the teacher for many years, and I have been doing research on string theory for a long time..."

Selberg felt like he was shocked. At first, he thought that Zhao Yi just had strong mathematical ability, probably because he had been doing research for a long time, plus a little bit of luck...

Now I realize that I was too naive.

If we make an IQ comparison, the other person's IQ is probably close to that of Einstein, and he is just an ordinary person. Ordinary people can just be spectators.

What Selberg didn't know was that Zhao Yi didn't spend ten hours a day. Whenever Edward and his apprentice left, he left string theory behind, but he could understand so much in such a short period of time. Things cannot all be attributed to IQ and understanding and memory abilities.

This has to do with math.

Many of the things Edward explained involved mathematical calculations and formulas, and it was enough for him to remember those key things.

In addition, his memory and understanding abilities have indeed improved a lot.

Although he has not reached the level of photographic memory and understanding at a glance, Edward's explanation is also very detailed. Once you understand it, you can remember it, and you will make such great progress.

Now Zhao Yi is really interested in string theory, and he feels that he is almost convinced by Edward's theory.

Although the content of string theory is far from perfect, there seems to be no problem in using string theory to explain physical laws.

Of course.

A large part of them are still inferences that cannot be proven for the time being, and some of them even have logic that only exists in imagination.

For example, the column on the paper.

Edward wrote an equation on paper and claimed that it was related to the edge of the multi-dimensional space of string theory. He hoped that Zhao Yi could use the waveform diagram to improve, modify, evolve, or something else. What he meant was that he hoped that it could be used Waveform diagram to improve the high-dimensional space marginal problem.

This is the direct reason why Edward came to Zhao Yi.

Now Zhao Yi understands.

Edward gave him lessons for several days. According to Kong Shengren, he could be considered half a teacher, although he didn't really want to listen...

Anyway.

He still discussed it with Edward for a long time, and also tried to perform calculations using waveform diagrams, but because even the basic logic only existed in his imagination, "Even if the equation is shaped well, it can't be proved, right?"

Zhao Yi asked directly.

Edward said seriously, "Although it cannot be verified with current methods, maybe it can be proven in the next ten, fifty, or longer years?"

"In mathematics and physics, there are many problems that are hundreds or hundreds of years old. If no one even asks the questions, how can science progress?"

"..."

It seems to make sense!

However, it is precisely because of this that it is difficult for theoretical physicists to win the Nobel Prize!

Zhao Yi complained in his heart.

In the despised chain of academic circles, theoretical physicists are at the top of the pyramid. Those who engage in theoretical physics research are recognized as "high IQs", and many of those who can produce results are "grown-up prodigies."

But the embarrassing thing is that most of the Nobel Prize winners in physics are experimental physicists and astronomers.

A typical example is Steve Hawking.

The whole world knows Hawking. He is considered one of the greatest physicists in modern times. His main research areas are cosmology and black holes. He proved the singularity theorem of general relativity and the black hole area theorem, and proposed the theory of black hole evaporation and no boundary. The Hawking universe model has taken a very important step in unifying the two basic theories of physics in the 20th century - the theory of relativity founded by Einstein and the quantum mechanics founded by Planck.

Such a top physicist has never won a Nobel Prize. The reason is that Hawking's main research theory has not been proven so far, and the Nobel Prize is very realist and will not be given to people who only exist on paper. The theory award on the surface.

Among Steve Hawking's theories, those that have been accurately verified by experiments are the results of work that cannot reach Nobel Prize level.

This is where it gets awkward.

What Edward is currently studying is even more 'illusory' than what Hawking is studying. Hawking's theory may be verified in a few decades, but Edward's multi-dimensional space...

Zhao Yi estimates it is a hundred years?

Five hundred years?

Thousands of years?

"So, what am I doing? What's the use of studying this? Even if I can create a marginal formula for multi-dimensional space, or even a multi-dimensional space model of string theory..."

"But it can't be verified!"

"Otherwise, it would be quite tempting to win a Nobel Prize in Physics with this..."

At this time, the system prompt suddenly rang.

[Life goal task, four stages: win the Nobel Prize in Physics.

Task reward: learning coins +2000, brain and development +1%.

(Tip: The life goal task is the main task. Only after completing one stage of the task can the subsequent task be activated.)]

"..."

"..."

Zhao Yi suddenly didn't want to invest his energy in research anymore.