The Science Fiction World of Xueba - Chapter 492

Pang Xuelin smiled slightly: “Why? Not sure?”

David Halk glanced at Sophie Heyman and said with a smile: “No, sure! If I can’t even solve Hopf’s conjecture, then I would rather not graduate!”

Sophie Hyman nodded solemnly.

Pang Xuelin couldn’t help crying and laughing. The students themselves are quite confident.

The Hopf conjecture is one of several conjecture statements proposed by the German mathematician Hopf in differential geometry and topology in 1931, and is also an open problem in the overall Riemannian geometry.

Almost a hundred years ago, no mathematician can prove it.

The simple expression of this conjecture is: For a compact and boundless even-dimensional manifold M ^ 2n, if it accommodates the Riemannian metric of non-positive cross-section curvature, then its Euler characteristic number satisfies (? 1) ^ nχ (M ^ 2n) ≥ 0 … (1), when the curvature of the cross-section is negative, the above formula is a strict inequality.

In the field of differential geometry and geometric topology, Hopf has a very important meaning.

Since Pang Xuelin put forward the theory of Ponzi geometry two years ago, some people think that the solution of this conjecture will build a bridge between Ponzi geometry and differential geometry.

If Hark and Sophie can solve this conjecture, then the four-person list of the next Fields Award will definitely have their place.

Pang Xuelin ’s gaze swept over Hark, Sophie, and Ai Ai. His own students are not weak in mathematics. Now, there are still four years to go before the next Fields Award. Kerr and Sophie solved the Hopf conjecture in the past few years. If Ai solved another heavyweight math problem, the next Fields Prize really has the possibility of being dominated by their students.

“Master, what do you think of us?”

Ai Ai noticed the strangeness in Pang Xuelin’s eyes.

Pang Xuelin smiled and said, “It’s nothing. If it’s okay, you can go back and prepare well. If you have any questions, please contact me directly.”

“Oh!”

The crowd nodded and left.

After a while, Pang Xuelin raised his head, but found that Ai Ai was still standing still, with a pair of beautiful eyes staring at him without blinking.

“Ai Ai, is there anything?”

Ai Ai’s delicate brow furrowed slightly and said, “Master, I don’t know which subject to choose.”

Pang Xuelin said with a smile: “You choose a field that interests you!”

Ai Ai hesitated and said, “I have an idea, but I am worried that this subject is too difficult. If I can’t do it all the time, I may not be able to finish my job …”

“What subject?”

“Goldbach Conjecture!”

“what?!”

“Goldbach’s conjecture! Master, am I too overwhelmed ?!”

Ai Ai saw Pang Xuelin staring at himself with a pair of ghost eyes. While feeling a little proud in his heart, he was also worried that Pang Xuelin would laugh at himself.

Pang Xuelin shook his head and smiled, “How come? I didn’t expect you to have such a spirit.”

Goldbach guessed that he had long wanted to solve it, but these years he went to the sci-fi plane from time to time for dozens of years, going round and round, the research was intermittent and there has been little progress.

And Goldbach ’s conjecture is only difficult. Even if solved, the significance in the mathematical world is far less than the Riemann conjecture.

Therefore, since Ai Ai is interested in this conjecture, it is not impossible for her to give it to her.

Pang Xuelin pondered for a moment and said, “Ai Ai, since you are interested in Brother Guess, then I won’t stop you. But Brother Guess is too difficult. If you can’t prove it all the time, you can’t keep dragging like this. So, You only need to meet two conditions and I will allow you to graduate. “

“What conditions, Master, you say!”

Ai Ai said quickly.

Although he has been a student of Pang Xuelin and can see his master from time to time, Ai Ai feels quite satisfied.

But teacher-student love is still not very nice after all. If you can graduate early, you can pursue your own master with fairness.

Pang Xuelin said: “Now researching the Goldbach conjecture, the best thing to do is the big sieve method. If you can build on the existing big sieve method, or you can open up a new way to prove the Goldbach conjecture. , Then I agree to your graduation! “

Ai Ai stunned for a moment, clenched his fists and smiled, “Master, I can definitely meet the two conditions you said.”

“Okay, then you have nothing else to do?”

“It’s all right, Master, then I’m going!”

Looking at Ai Ai’s jumping back and forth, Pang Xuelin shook his head with a smile, then lowered his head and started busy with his work.

Pang Xuelin is now writing a paper on superconductivity theory.

Since the construction of the superconducting theory was successfully completed a few months ago, Pang Xuelin has sorted out the theoretical framework and even predicted the existence of a certain room temperature superconductor configuration in multi-walled carbon nanotubes through his own theory.

But this is only a prediction after all, and Pang Xuelin also dare not guarantee 100% correctness.

It was not until the team of Cao Yuan and the team of Li Changqing successfully synthesized this material that Pang Xuelin began to write a thesis on superconducting 128 materials.

A few months ago, Pang Xuelin uploaded a preprinted paper on the new theory of superconductivity on arXiv. This paper was later published in the first issue of the “Exploration” magazine.

In this paper, Pang Xuelin built a new bridge between the strongly related materials such as heavy fermion compounds and traditional condensed matter theoretical systems such as BCS theory by mathematical means, thus completely unifying the two completely different superconducting mechanisms.

This paper has caused great repercussions in the physics community.

But the controversy is also great.

Supporters believe that Pang Xuelin’s technique is very clever. The mathematical method he uses can make the mathematical model of the strongly correlated superconducting material and the superconducting model of the traditional condensed matter theory transformed into equivalent, and then introduces a programmatic super Guiding theory will provide strong theoretical support for the search for new superconducting materials in the future.

The opposite side believes that although Pang Xuelin’s theory is good, only part of the experimental data currently meets the conditions, and to prove the accuracy of Pang Xuelin’s theory, a new superconducting material model must be constructed on the basis of his theory, and the Only when it is manufactured can Pang Xuelin be proved correct.

And this ~ www.mtlnovel.com ~ is the hardest part.

Because Pang Xuelin only gave a mathematical model, he did not give any predictions on the materials in the paper.

In the past few months, many physicists in the field of condensed matter are looking for new superconducting materials based on Pang Xuelin’s paper, and some of them have also harvested, but most of the new superconducting materials that meet Pang Xuelin’s theory require extreme physical conditions. Achieve superconducting properties.

If you want to find a room temperature superconductor in the true sense, it still seems to be an unreachable road.

Many people even think that even if Pang Xuelin’s theory is correct, it may be decades later to verify.

Just as the British physicist Higgs proposed the Higgs boson in 1964, it was not until the European Nuclear Organization discovered the existence of the Higgs boson on March 14, 2013 The Nobel Prize in Physics of the Year.

Therefore, even if Pang Xuelin’s theory is correct, it seems to be a distant matter if he wants to win the Nobel Prize in Physics.

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