From Almighty Scholar to Chief Scientist

Chapter 322 The unity of linear and nonlinear?

"This question, you first do this..., then this..., then this..., and finally this..., did you come out?"

At Beijing University, in Lin Xiao's office, he was explaining the topic to Li Min.

After listening to Lin Xiao's narration, Li Min nodded thoughtfully, "I see."

"Well, if you study this content, the main thing is to continue to expand your knowledge... By the way, the book I told you about last time is Jurgen Neukirch's Algebraic Number Theory, have you read it? ?”

"This...uh, I have read it, but it's a bit difficult."

Li Min had a helpless expression on his face.

Lin Xiao smiled and said: "It's normal to study mathematics, but if you encounter a problem, what you have to do is try to start with this problem. You can check the literature, but I hope you check the literature to verify your answer. , rather than looking for answers for the sake of answers, unless you really can't find a solution."

"I see."

Li Min nodded, indicating that he understood.

However, he asked curiously: "Professor, what if you encounter a problem that you really can't solve? What will you do?"

Hearing this question, Lin Xiao frowned slightly and fell into thinking.

For a while, he didn't answer. Li Min was a little puzzled, but just when he was about to ask, Lin Xiao gave the answer: "For the time being, I haven't encountered any problem that I can't solve, so I may return it to you." You can't answer."

"Ah this..."

Li Min was stunned.

Lin Xiaoxing may feel that it is a bit too shocking, so he smiled and waved his hands, explaining: "Of course, maybe if I try to solve it now... such as the Riemann conjecture, P=NP, or Navier-Stowe The existence and smoothness of the solutions to the Kekes equation, I probably can't really solve it."

Li Min: "..."

I thank you for your comfort.

According to what Lin Xiao said, isn't it possible that only this kind of world-level math problem can stump him?
It's not even certain to say that, after all, Lin Xiao solved Hodge's conjecture at the beginning.

What if Lin Xiao really starts researching and solves it directly?

Thinking of this, Li Min turned around and said, "Professor Lin, my admiration for you is like a torrent of water..."

The instructor is so awesome, what else can he do?Of course it's licking!
What's wrong with licking your own mentor?
No problem at all!
However, just as he was about to start licking, there was a sudden knock on the door.

"Please come in."

Hearing the knock on the door, Lin Xiao spoke.

The door opened and several people came in.

I saw six or seven professors running in from outside, all from the School of Physics, including Chen Xun, who Lin Xiao dug into the Dingguang Research Institute.

These professors ran in, rushed up and surrounded Lin Xiao, and then hurriedly said: "High-temperature superconductivity, is it also because of the electron pair? Or is it the Cooper pair?"

When Li Min saw several professors, he quickly stepped aside and looked puzzled.

What are these professors looking for Professor Lin for?
What high temperature superconductivity?
But Lin Xiao couldn't help being taken aback when he saw so many people running in suddenly: "Where is this, everyone?"

"It's the article you published in Physical Review Letters!"

Chen Xun said directly, "I talked to you about your new yttrium-barium-copper-oxygen. At that time, I was still wondering why there was such a change, but I didn't expect how long it had passed, so I just figured out why. Already!"

Lin Xiao said with a smile: "Didn't you say that at the beginning, the increase in the critical current density means that the number of carriers has increased. What are the carriers in the material? It must be electrons, and then this is very difficult. Do you understand?"

"This……"

Chen Xun was taken aback for a moment, and then complained: "But who knows that it will be an electronic pair, and it may even be a Cooper pair!"

"I didn't say it was a Cooper pair, it is still an electron pair, but according to the mathematical expression, it is a bit like a Cooper pair." Lin Xiao said.

These superconducting physicists who ran over looked at each other, listening to what you said, as if listening to a word.

Another professor next to him asked, "Professor Lin, what do you think it would be if it wasn't a Cooper pair? A brand new electronic pair?"

Lin Xiao shook his head: "That's not sure."

Then he said: "In low-temperature superconductors, Cooper pairs form because there is an arbitrarily small attractive force between electrons that causes electrons with energies below the Fermi energy to pair with each other."

"But obviously, the Fermi energy is very low, and it only takes a little bit of temperature, and the thermal energy of the electron is enough to make its energy exceed the Fermi energy."

"And our yttrium barium copper oxide can maintain a superconducting state at a temperature of up to 90K. In fact, I would rather believe that it is a brand new electron pair form, and the Cooper pair is just a type of this new electron pair. Special case."

Several professors were taken aback.

Another professor asked the question: "Why? Why can't there be two cases? The Cooper pair is the case at low temperature, and this brand new electron pair is the new case at high temperature?"

They were all a little puzzled about Lin Xiao's point. Why do they have to think that the two situations are the same?

Can't discuss by category?
Quantum mechanics has said that the world is discontinuous, and it is completely normal to discuss it in two cases at high temperature and low temperature.

Lin Xiao replied: "Well... probably out of a kind of intuition."

"intuition?"

"Well." Lin Xiao nodded: "I think the world should be unified, regardless of the superconductivity of high-temperature superconductors or the superconductivity of low-temperature superconductors, since their ultimate explanation is the unimpeded flow of electrons, then I believe , They can all be explained by a theory in the end, not to mention, whether it is high temperature or low temperature, it is only defined by us humans, so I think there is no need to care about this.”

Hearing what Lin Xiao said, the professors were stunned again.

The world is unified?
There are people with similar thoughts, such as Chen Xun, who immediately agreed: "If you say so, I also think it is possible."

If the world is unified, the principle of superconductivity may be the same. Lin Xiao's idea convinced Chen Xun.

However, some people expressed their objection: "Professor Lin, whether the world is unified or not is still to be answered by people hundreds or thousands of years later, but I think that there are linear and nonlinear in mathematics. Can it also be unified?"

This question made them silent for a while, but someone soon said: "Professor Hu, I don't think it is necessary to ask your question? Nonlinear and linear are just two different ways of expressing, just like superconductivity and superconductivity." Non-superconducting, we can’t unify superconducting and non-superconducting, right?”

This Professor Hu shook his head and said: "Superconducting and non-superconducting are two physical phenomena, of course they can be different, but linear and non-linear are mathematical tools. Since mathematics also pursues the Langlands Program, unifying other mathematical tools Come on, why can’t linear and nonlinear try to unify?”

"Then you are a bit irrational! Linearity is a straight line, and nonlinearity is not a straight line, such as a curve. This is also an actual phenomenon!"

"You're the one who uses strong words!..."

……

Accidentally, two physics professors quarreled over a math problem. Seeing this scene, Lin Xiao couldn't laugh or cry.

He immediately dissuaded him: "You two, come on, come on, it's just such a question, we don't need to quarrel over it."

After some restraint, the two professors finally calmed down.

Seeing the two professors stop, Lin Xiao breathed a sigh of relief, but then said: "But, Professor Hu, I actually think that nonlinearity and linearity may be unified, and even now I can show you Here comes a proof."

Professor Hu stared: "What evidence?"

Lin Xiao replied: "Riemann's conjecture."

Hearing this, they were stunned for a moment, and then they all showed sudden expressions.

In Riemann's conjecture, isn't it possible to classify the prime numbers that seem to be invisible to the law as a situation that can be described by a straight line?
"Professor Hu, what do you say?" The one who quarreled with Professor Hu just now did not forget to say something.

Professor Hu snorted, and said, "This hasn't been proven yet, so it doesn't count."

Seeing that Professor Hu was still talking hard, everyone present laughed.

Professor Hu couldn't hold back his old face from laughing, and said: "Even if it is proved, it is only a special case. The unification of linearity and nonlinearity is to unify all situations!"

However, Lin Xiao said at this time: "I can also unify all nonlinearities into linearity now."

Professor Hu was taken aback for a moment, and everyone else was also shocked, looking at Lin Xiao one after another.

"Now? Professor Lin, are you sure?"

Can Lin Xiao unify all nonlinearities into linearity now?
How is this possible?

Li Min, who has been watching by the side, also showed an incredible expression. How can his great mentor achieve the unification of linearity and nonlinearity now?

Lin Xiao didn't speak, just took out a piece of paper, and drew a few curved lines on it, then picked it up, showed it to them, and asked: "Look, is this line non-linear? "

Everyone present nodded, and they didn't know what Lin Xiao was going to do to make this curve into a straight line.

At this time, Lin Xiao smiled slightly, and gradually turned the paper over, so that the paper faced the ceiling, and the whole paper was parallel to their line of sight, and then he said: "Everyone, now look at the picture I drew on it. A curve, should it be a straight line in your eyes now?"

Listening to Lin Xiao's words and looking at the paper at the same time, everyone in the office was stunned.

Yes, that non-linear curve has now become a straight line in their eyes - although they cannot see the line on the paper because their line of sight is completely parallel to the paper, as long as the entity of the paper is ignored , The curve drawn by Lin Xiao is a straight line for their line of sight!
(End of this chapter)