Zhou Chen proved that the twin prime conjecture used the methods of his predecessors, and the proof of Goldbach's conjecture was actually inspired by the independent scholar Deng Runhua's study of the four-color conjecture. Pen | fun | pavilion www. ｂｉｑｕｇｅ。 ｉｎｆｏ

Zhou Chen revised Goldbach's conjecture on a whim, extending the original simple number theory problem to a specific direction of physics.

In number theory, the four-color conjecture is generally said to mean that when drawing a map, no matter how many countries there are, only four different colors are needed to represent all countries on the same map, and neighboring countries have different colors.

Extended to physics, the four-color theorem was revised to "In any one-dimensional world, only no more than three numbers are needed to ensure that any individual is different from other regions", and "in the infinitely large and infinitesimally small two-dimensional world, only a minimum of four numbers are needed to make all the independent individuals and connected parts different".

Then extend to the three-dimensional space we live in, because our three-dimensional world is the material world, so it is necessary to require the substances in contact with each other to have different "properties", otherwise annihilation will definitely occur, so how many basic substances are needed at least to ensure that any two adjacent substances are not annihilated?

Isn't this interesting for us to open up our perception of the world?

In the same way, just as the "four-color conjecture" opened the door to the study of the universe, the Goldbach conjecture actually has its inherent physical implications.

In number theory, Goldbach's conjecture expresses the relationship between laws and randomness, and by extension to physics, it actually expresses the relationship between the macroscopic world with macroscopic physical laws and the microscopic world based on randomness, which is also a very interesting connection!

As mentioned earlier, mathematics is a huge system, and physics is just a very special presentation of this system after locking a few parameters of degrees of freedom, and Goldbach's conjecture was proved by Zhou Chen in the form of number theory, which in a sense provides a connection between law and randomness.

Of course, this connection extends to physics is very weak, because Goldbach's conjecture is not the only one in mathematics, there are too many similar "Goldbach conjectures" in mathematics, perhaps only an infinite number of "Goldbach conjectures" are gathered together to form a huge sea of number theory, in order to finally summarize a more special form, and this special form is the real connection between the "law" of the macrocosm and the "randomness" of the microcosm.

That is, the key to quantizing the general theory of relativity!

By solving the conjecture problem this time, there seems to be a spiritual light in the dark that flickers in the quiet place of the heart, which makes people a little moved.

There is no doubt that Zhou Chen is on fire again, and this time his fire does not come from physics, but because of his outstanding achievements in mathematics.

The front page of the news was once again dominated by this young man, and people couldn't help but wonder if he was a theoretical physicist or a mathematician. Or is he simply an all-rounder?

In fact, not only the outside world, but also a few people who are familiar with Zhou Chen, such as Yang Hexin, Liang Zhiyuan, and Zhao Fengxue, were all amazed by Zhou Chen's paper this time. Probably only Yang Xi and Zhou Luo felt that it was natural for Zhou Chen to achieve these achievements.

The leaders of Beijing Normal University once again smiled from ear to ear, and even when they went to the meeting of the Ministry of Education, they were full of smugness, and the Propaganda Department of the Party Committee and the school's news center also began to work hard to publicize.

The posture was so angry that the teeth of several famous universities with the same qualifications around them itched, and I wanted to run up and beat them up and beat them up, so that you would be embarrassed!

But this is just to think about it, who made their school unable to produce a demon like Zhou Chen, otherwise it wouldn't be so angry that its nostrils were up.

Of course, just when everyone thought that the two conjectures were enough for Zhou Chen to win the crown in the mathematical world, Zhou Chen once again played a joke with the world.

On September 25th, Zhou Chen once again sent his paper to the editorial department of "Progress in Mathematics".

What is hateful is that this time "Progress in Mathematics" actually learned a lesson from the last incident, and the people in the editorial department shamelessly learned new marketing methods, and even kept silent about the outside world. Just issued a statement on the official website, asking everyone to pay attention to the special issue of "Advances in Mathematics" before the National Day, and it is also very shameless to log in to several ways to subscribe to "Advances in Mathematics".

Industry insiders have condemned it, and "Progress in Mathematics" has also been badly learned.

September 30, the last day before the National Day holiday.

The editorial board of the journal "Advances in Mathematics" finally revealed the details to the public under the gushing public opinion.

The content of Zhou Chen's latest paper is to prove the Riemann conjecture!

This brief news spread as quickly as possible, and the news passed no less than a seven-magnitude earthquake. Sure enough, they should have thought of it a long time ago, Zhou Chen solved the twin prime conjecture and Goldbach conjecture in the "prime number problem", how could he let go of the last bright pearl?

What was he going to do, to solve the eighth of Hilbert's twenty-three top-level math problems on his own? In reality, however, if he had solved the Riemann conjecture again this time, he would have solved the eighth problem.

But the question is, will the Riemann conjecture be as easy to solve as the previous twin prime conjecture and Goldbach conjecture?

You must know that the Riemann conjecture is not only the eighth content of one of the twenty-three problems proposed by Hilbert, but also one of the seven major mathematical problems in the world that has been rewarded by the "Clay Institute of Mathematics", the other six problems are the NP complete problem, the Hodge conjecture, the Poincaré conjecture, the Jan Mills theory, the Navall-Stoker equation, and the BSD conjecture, each of which offers a reward of one million dollars.

The content of the Riemann conjecture is very simple, but the difficulty of proving is extremely great, its main content is to "describe the frequency of the occurrence of prime numbers", in all natural numbers, although the distribution of prime numbers does not follow any regular pattern, but the German mathematician Riemann found that the frequency of prime numbers is actually very closely related to a well-constructed function, which is called the "Riemann ζ function".

The Riemann conjecture is actually a property of this function!

Riemann found that although the "Riemann ζ function" is not a function that directly describes the law of prime numbers, it has a very close correlation with the law of the appearance of prime numbers, especially when the function value of this function is equal to zero, all meaningful solutions have a decisive impact on the fine law of prime number distribution.

The Riemann conjecture states that these solutions that make the value of the function equal to zero are distributed over a straight line with a function of s=1/2+ie, where i is an imaginary unit and e is a real number. That's what the Riemann conjecture is about!

As for whether this guess is right or not, there is no doubt that it must be correct, in fact, now just find a calculation software, which has Riemann ζ functions in the built-in function library, it is easy to prove that the Riemann conjecture is correct, at least the computer has proved that trillions of "zero point" solutions are on this straight line function, so far no counterexamples have been found.

But the real use of mathematical means to prove this simple speculation has not been successful!

Of course, in the progress of the mathematical community in using theoretical techniques to prove the Riemann conjecture, there are also many mathematicians who have made outstanding achievements.

For example, in 1914, Hardy proved that there are infinite number of "zeros" on s=1/2+ie, in 1974 Levinson proved that at least 1/3 of the zeros are on the straight line s=1/2+ie, and in 1989, Canray improved 1/3 to 2/5.

For more than a century, mathematicians have studied the Riemann hypothesis more often by rewriting the Riemann hypothesis into other forms, which involve algebra, geometry, number theory, partial differential equations and many other fields.

Today, Zhou Chen proved the Riemann hypothesis, and then the mathematicians were surprised to find that he did not prove it by conventional mathematical methods, but combined with quantum chaos and fed back to the proof process of number theory by comparing the classical chaotic Hamiltonian system.

This is a completely different new way of thinking, to prove the Riemann conjecture by proving a certain Hamiltonian solution, which ordinary mathematicians would never think of using physical methods, so the Riemann conjecture is, in a sense, as if it was specially arranged for people like Zhou Chen.

The mathematical community was silent.

If Zhou Chen proved the twin prime conjecture before, people thought that he was just lucky to use the method used by his predecessors; Proving Goldbach's conjecture is a modification of the four-color conjecture, so when he completely uses quantum chaos to prove the Riemann conjecture, people don't know what to say.

Once it could be luck, twice it was a coincidence, and three times, then you can only speak with absolute strength.

At this point, whether it is in the world of mathematics or physics, Zhou Chen's golden signboard has been erected, and no one can underestimate his status in the academic world.

And through this incident, a completely new path has emerged in front of people's eyes - combining mathematics and physics, or through empathy, with the help of abstract thinking and knowledge outside mathematics, to improve mathematical inference! Because of this, in the near future, a large number of mathematicians in the mathematical community will begin to get involved in the field of physics, just like patching mathematics and understanding mathematics from a new perspective.

For a time, the divergence of the discipline continued to expand with their efforts, and the scope of application became more and more extensive.

"Damn! Damn it! Damn it! Why did he prove the twin prime conjecture again and again, the Goldbach conjecture and the Riemann conjecture, and could I really not beat him? ”

In a boys' dormitory, Hu Yuchen pounded the table with a distorted face, and suddenly he calmed down and sighed heavily, the whole person was indescribably decadent.