Scholar’s Advanced Technological System

What Lu Zhou didn't expect was that he received a reply from Chang'an Street the next morning when he handed the letter to Wang Peng.

In addition to the high recognition of him and the contribution of the Jinling Institute of Advanced Studies, he responded to his comments on the industrialization of carbon-based chips.

In fact, Lu Zhou itself has no opinion, what should I do? The only thing that surprised him is that he didn’t expect the efficiency of Shangjing to be so high. He finished the expert discussion meeting last night and sent it back the next morning. Came to him.

I took the envelope and turned it over, and Lu couldn’t help but ask.

"So fast?"

Standing next to Lu Zhou, Wang Peng explained back.

"This kind of confidential letter is all by air. It can be reached from Jining to Jinling in an hour and a half. When I received the call, it was four in the morning. At that time, this confidential letter was already in the National Security Bureau of Jinling. ”

"I don't mean this... forget it, don't say it," the letter from the elders was collected. Lu Zhou saw Wang Peng and said, "Give me to Jinda."

Wang Peng nodded and opened the door for Lu Zhou.

"Okay, please get on the bus."

......

The carbon-based chip has been put aside for the time being.

After arriving at Jinda, Lu Zhou came to his office as usual and went to the desk to sit down.

Yesterday, because of the sudden receipt of the system task reward, Lu Zhou retired early to the Jinling Institute of Advanced Studies, and later dragged him over there because of the carbon-based chip, resulting in half of the research was put there.

From the drawer, I pulled out the part of the draft paper that was not completed yesterday. Lu Zhou spent about 5 minutes reviewing the previous part, then took a ballpoint pen from the pen holder, and then the unfinished formula was quiet. Quietly counted.

In the past ten minutes and a second, the hour clock on the wall clock gradually went from eight o'clock to nine.

At this moment, the door of the office suddenly opened, and Luo Shixiong, holding a stack of a4 paper in his hand, walked in with a eager rush and came in. He did not walk to the front of the boat, and said excitedly.

"... Some time ago I turned out Dyson's paper and looked at it. You guess what I found?"

I never got used to knocking on the door and didn't take myself as an outsider. Lu Zhou raised his head and made a joke.

"Dyson? Is that physicist who changed his mind to write science fiction?"

"Correcting, he is not a science fiction writer, he is one of my idols!" shaking the stack of a4 paper in his hand, Luo Wenxuan said with excitement in a positive tone: "I found quite a lot from his paper. Interesting things, I guess you will definitely be interested!"

The so-called science fiction writers are just a ridicule. Lu Zhou certainly knows that Dyson’s contribution is far more than just a few “science fiction”. The theory of “spin wave” created by him is probably the most outstanding physics achievement of the 1950s. One.

Just like Hawking, because in the field of science or science fiction is too famous, most people selectively ignore their own academic level. After all, in the eyes of mortals, the scholars at the top of the chain of contempt are either the pope who is high above, or the hermit who never bother to explain anything to the mortal...

Looking at the excited Luo Shixiong, Lu Zhou did not resonate from his excitement. Instead, he said a little bit of interest: "I am only interested in the Riemann zeta function, if it is about quantum chromodynamics. Research... I suggest you look for other professors in the library to discuss."

"Not quantum chromodynamics, what I am talking about is the Riemann zeta function!"

"Oh?" Lu Zhou finally stopped the pen in his hand and cast his interest in the sight of Brother Luo. "That said, what did you find in his paper?"

Lu Zhou does not believe that Dyson has also studied the Riemann conjecture.

Although mathematics and physics are not separated, no matter how much you think, the distance between analytical number theory and theoretical physics is too far apart.

Putting the stack of a4 papers on Table Mountain, Luo Wenxuan held his hands on the table and said excitedly to Lu Zhou.

"Accurately, it is said to be a diary written by Dyson himself. When my friend at Princeton went to the Rock Museum 'archaeology', I got it from the old man's hand... You should know the one I said. Who is the old man?"

"Is the old man like a wizard who always wears a nightgown and dresses himself?"

"Yes, that's him... Of course, these are not the main points. The point is that we found this," said Luo Wenxuan, picking up his mobile phone and shaking it to Lu Zhou. "In Dyson's own picture." In the diary, we found the record about his conversation with Montgomery in the tea room."

Lu Zhou's eyebrows were gently picked.

"So what does this mean?"

Luo Wenxuan said excitedly: "They talked about the Riemann conjecture. Although it sounds like a chicken and a duck, the final result is surprising! Can you believe it? The density function of the non-trivial zero distribution of the Riemann function, It is highly consistent with the correlation function of the eigenvalues ​​of the random Hermitian matrix."

When I heard the random Hermite matrix, Lu Zhou’s face finally showed a look of interest.

Sensitively captured the change of Lu Zhou's expression, Luo Wenxuan smiled and took the stack of a4 paper on the table with his right hand.

"Then, I found out the paper he published in the "Physics Quick Review" the following year... Tell me, are you still not interested?"

"I will say it again."

Sitting up from the office chair, Lu Zhou reached out and picked up the stack of papers printed on a4 paper, and looked at them line by line.

When he saw the second page, the look on his face gradually became unusual.

"... surprisingly, when I was studying Riemann's conjecture, no one ever heard anyone talk about this paper."

Sitting at the desk corner of the desk, Luo Wenxuan grinned and said: "In fact, it is not difficult to understand. Before you made the results, have you heard of anyone who discussed the critical band in mathoverflow? This idea is already fast. I haven't seen anything new for half a century."

"It’s also..." He glanced at Luo’s brother sitting at the corner of the table. Lu Zhou said casually, "Can you find a stool to sit?"

"Oh, sorry," Luo Wenxuan touched his nose and slipped from the corner of the table. "I am so used to sitting in my office."

Putting your attention back to the paper, the more you look back, the more shocking Lu Zhou’s heart is.

It is not because of Professor Dyson's own research results, but rather a near-magic phenomenon he found in his thesis.

That is, the distribution density of the eigenvalues ​​of an n-order random Hermitian matrix is ​​p(λ1, . . . , λn)=cexp[−Σiλi2]Πj>k(λj−λk)2. The distribution density is processed to some extent, and the eigenvalue is scaled by using the wigner semicircular law. Then the average spacing of the eigenvalues ​​is normalized to Δμ~1, and the correlation function p2 (μ1, μ2 can be obtained). )=1-[sin(π|μ2-μ1|)/π|μ2-μ1|]2.

What does this formula mean?

It is nothing else, it is the pairwise function of the non-trivial zero of the Riemann function!

It’s not just like it, it’s exactly the same!

"very interesting."

Touching the chin, the expression on Lu Zhou’s face became more and more interesting.

Accurately, it’s not just fun, it’s incredible!

Why is the purest mathematical property such as the non-trivial zero distribution of the Riemannian function related to the most realistic physical phenomena such as quantum systems, disordered media, and neural networks?

What does this magical association itself presage?

Thinking of this, Lu Zhou’s brow could not be gently wrinkled.

A hunch in the midst of it is telling him that he seems to be approaching something quite close to the essence.

But what is the essence of this?

At this time, on the computer in the lower right corner of the desk, suddenly popped up a new mail pop-up window, attracting the attention of Lu Zhou.

I noticed that Lu Zhou suddenly looked at the computer, and Luo Wenxuan curiously asked him.

"what happened?"

"New mail... seems to be sent by the editorial department of the "Year of Mathematics"." Holding the mouse and opening the mailbox, I saw the unread mail in the mailbox. Lu Zhou double-clicked and opened, and replied casually.

Hearing is a reply to the "Year of Mathematics", Luo Wenxuan first squatted slightly, then excitedly asked.

"After the draft?"

The sound of "successful manuscripts" made the people in the entire office quiet and erected their ears to listen.

Especially He Changwen, who was sitting not far away, never threw his ear.

Staring at the email on the screen, Lu Zhou was silent for a while.

After a while, he said with an uncertain tone.

"...will not pass?"

The office was quiet for many seconds.

After a long time, all people’s faces showed a stern expression.

Luo Wenxuan: "...?"

He Changwen: "...??"

Assistants and students: "...???"