universal data

Chapter 478
481 chapter

Cheng Nuo calculated from nine o'clock in the morning until two o'clock in the morning the next day.

During this period, he stayed in the office and didn't even eat.

Because he was worried that once he was distracted, the inspiration he had finally caught would slip away quickly.

In the research institute, only the lights in his office were still on.

Yawning, Cheng Nuo stretched his body, stood up and made a cup of coffee.

Then he took a sip while admiring his "great masterpiece" of accidental discovery.

Until now, Cheng Nuo still felt unreal.

Because, this discovery, even from his critical point of view, can be called a "milestone" significance.

He can guarantee that once this discovery is announced, it will be enough to drive mathematicians in the world crazy.

And all of this comes from a coincidence.

In the morning, Cheng Nuo intersected the congruent numbers of the Modal commutative group and the curve of infinite order, and deduced how to represent rational points.

When he projected the infinite curve to a virtual point, he felt that the calculation was too troublesome, so he wondered whether it was possible to form a curved surface with all the infinite curves, and then find a virtual point image of it.

Therefore, when Cheng Nuo drew all the images of the quadratic virtual points of the semi-curved surface on the scratch paper, he, who is extremely sensitive to numbers, discovered an interesting phenomenon.

These imaginary points, whose height can describe the derivative of the curve function.

At the same time, the position of the rational point on the infinite-order curve can be determined according to this imaginary point.

Cheng Nuo did not give up on this accidental discovery.

Cheng Nuo spent a whole day doing calculations, and finally determined that these imaginary points mapped by the half-surface can be used to construct rational points on the curve of each positive integer n, and the height of these points is in the form of modules The coefficient of the weight 3/2.

The reason why Cheng Nuo called this virtual point a "milestone" discovery was because of its two properties.

The construction of rational points on curves of infinite order has always been one of the major problems in mathematics.

Up to now, there is still no universal simple and convenient method in the mathematics circle to quickly find the position of a rational point on any infinite-order curve and express it.

The emergence of this virtual point can easily change this situation.

In addition, this projected imaginary point can also represent the coefficient of the weight in the form of a modulus, which can be used in the construction of various systems.

Even a mathematician like Cheng Nuo, who has seen countless storms and waves, was extremely shocked when he saw this virtual point really unfold in front of his eyes.

In addition, there is joy.

He didn't expect that this great benefit would be triggered by accident when overcoming the BSD conjecture.

Cheng Nuo temporarily named this dot as Cheng's dot, then closed the computer and walked back to the apartment under the hazy moonlight.

Even though he was physically exhausted, he tossed and turned in bed until late at night when he was so excited that he fell asleep.

…………

The next day, Cheng Nuo came to the research institute with dark circles under his eyes.

"Morning Professor Cheng!"

"Well, morning."

"Professor Cheng, you should pay attention to rest. It's good to work hard, but don't work hard. If you contract a disease when you are young, you will have no time to regret it when you are old!"

"Professor Zhou, thank you for your reminder, I will pay attention."

After saying hello all the way, Cheng Nuo came to the office.

After carefully checking yesterday's derivation about "Cheng's virtual point", seeing that there should be no problem, he called Zhang Wei and asked him to come to his office again.

Zhang Wei was also puzzled when he hung up the phone.

He just went to Cheng Nuo's office yesterday, and now he let himself go there again, could it be... any major progress?
Feeling extremely curious, Zhang Wei trotted to the deputy director's office on the third floor of the Institute of Mathematics.

"Brother, why don't I arrange an office for you at the research institute. Otherwise, it would be too troublesome for you to run around all day."

Cheng Nuo motioned for Zhang Wei to sit down first, pushed over a cup of tea, and spoke with a smile.

Zhang Wei shook his head, "It's still not used for the time being, the office building of the Shuyuan is not far from here, and it can be reached in a few minutes."

"Let's talk about business. You called me over again. Did you discover something new?"

"That's right." Cheng Nuo snapped his fingers, handed the printed derivation process of "Cheng's virtual point" to Zhang Wei, and stretched out his hand to signal, "Brother, take a look first."

10 minutes later……

Zhang Wei looked at Cheng Nuo profusely with sweat, and swallowed hard, his voice trembling because of excessive surprise, "This Cheng's weakness...is it you who discovered it?"

Cheng Nuo pointed at the dark circles under his eyes and said with a wry smile, "It took me a whole day and I stayed up until after three o'clock last night."

One... one day? !

Well, now Zhang Wei's heart has been greatly increased by Cheng Nuo's exercise.

Zhang Wei was no longer surprised by Cheng Nuo's monstrous behavior.

Cheng's hypocrisy, this is indeed a remarkable discovery.

Once released and let the outside world know, the shock caused may be only weaker than when the Poincaré conjecture was announced and proved 20 years ago.

Normally, Zhang Wei would have been surprised and excited for a long time, but seeing Cheng Nuo's flat expression, Zhang Wei suddenly had the illusion that this Cheng's vainness was just that way!

Zhang Wei's surprise came and went quickly.

"So, with this Cheng's virtual point, our second puzzle about the BSD conjecture will be completed soon?"

Cheng Nuo stroked his chin and smiled, "You can say that."

"Then I'll start researching right away." Zhang Wei took the few pages of the proof process about "Cheng's false point" and got up to leave.

Suddenly, Zhang Wei remembered something, and turned around and asked, "Does the discovery of Cheng's virtual point need to be compiled into a paper and submitted to a mathematics journal?"

Cheng Nuo pondered for a few seconds, then shook his head, "Don't do this for the time being. When we have thoroughly proved the BSD conjecture, we will publish Cheng's hypothetical paper together."

Cheng's false point, although it has higher academic value in other aspects, it is undeniable that it is also a sharp edge against BSD conjecture.

If the derivation paper of Cheng's imaginary point is published publicly at this time, let other mathematicians use Cheng's imaginary point to prove the BSD conjecture before them.

At that time, Cheng Nuo didn't know where to cry.

Therefore, to be on the safe side, this is not the best time to disclose "Cheng's false point".

For the time being, it is better to let only a few people know the existence of this virtual point.

However, with Zhang Wei's reminder, Cheng Nuo still uploaded a cloudy paper on arxiv, taking advantage of it in advance.

Although it is unlikely that mathematicians will discover the existence of "Cheng's virtual point" in a short period of time, if the pit is occupied in advance, it is to prevent accidents from happening.

(End of this chapter)