Scholar’s Advanced Technological System

Chapter 852: Rejected for the first time in life

What Lu Zhou did not expect was that early in the morning the next day he handed the letter to Wang Peng, he received a reply from Chang'an Street.

In the reply, in addition to highly commending him and the contributions of the Jinling Institute of Advanced Studies, he asked him some opinions on the industrialization of carbon-based chips.

In fact, Lu Zhou did n’t have any opinions. What should I do? The only thing that surprised him was that he did n’t expect that the efficiency of Shanghai was so high. The expert discussion meeting was completed last night, and I will send it back the next morning. To him.

Holding the envelope in his hand and turning it over, Lu Zhou couldn't help asking.

"Is it so fast?"

Standing beside Lu Zhou, Wang Peng explained in reply.

"This kind of confidential letter is sent by air, and it will take one and a half hours to reach Jinling from Beijing. When I received the call, it was four in the morning, and the confidential letter was already in the National Security Bureau on the side of Jinling. "

"I don't mean this ... forget it, don't talk about it," put away the autograph letter of the Presbyterian Church, Lu Zhou saw Wang Peng said, "Send me to Jinda's side."

Wang Peng nodded and opened the door for Lu Zhou.

"Okay, please get in."

...

The matter of carbon-based chips is set aside.

After arriving at Jinda University, Lu Zhou came to his office as usual and sat down at his desk.

Yesterday, because he suddenly received the reward for the system task, Lu Zhou retired early and advanced to the Jinling Institute of Advanced Studies. Later, he was dragged there because of the carbon-based chip, so that half of the research was done there.

From the drawer, I pulled out the part of the draft paper that was not completed yesterday. Lu Zhou took about 5 minutes to review the previous part, and then pulled a ball-point pen from the pen holder. Then the line of unfinished calculations was still Figure it out quietly.

Time passed by one minute and one second, the hour hand on the wall clock gradually moved from eight o'clock to nine.

Just then, the office door suddenly opened, and Brother Luo, who was holding a stack of A4 paper in his hand, walked in happily, before he came to Lu Zhou, and said excitedly.

"... I read out Dyson's paper some time ago, and guess what I found?"

He has never used to knock on the door or treat himself as an outsider. Lu Zhou looked up and joked casually.

"Dyson? Is that the physicist who switched to science fiction?"

"Correction, 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 affirmation in excitement: "I found quite a bit from his thesis. Interesting stuff, I guess you will be interested! "

The so-called science fiction writer is just a joke. Lu Zhou certainly knows that Dyson's contribution is far more than just a few "sci-fi". The theory of "spin waves" created by him is probably one of the most outstanding physical achievements in the 1950s One more.

It's just like Hawking, because it is too famous in the field of science popularization or science fiction, leading most people to selectively ignore their own academic level. After all, in the eyes of mortals, scholars at the top of the chain of contempt are either the high pope, or the hermit who never bothers to explain to mortals ...

Looking at Brother Luo with an excited look, Lu Zhou did not resonate with his excitement, but said with a bit of interest: "I am only interested in the Riemann zeta function. If it is about quantum chromodynamics Research ... I suggest you talk to other professors at the Institute. "

"Not quantum chromodynamics, I'm talking about the Riemann zeta function!"

"Oh?" Lu Zhou finally stopped the pen in his hand and cast his gaze on Brother Luo. "So what did you find in his thesis?"

Lu Zhou did not believe that Dyson had also studied the Riemann conjecture.

Although mathematics and physics are inseparable, no matter how you think about it, there is too much distance between analytical number theory and theoretical physics.

Putting the stack of A4 paper on Table Mountain, Luo Wenxuan supported the table with both hands, and said to Lu Zhou in excitement.

"To be precise, it is said that it was a diary written by Dyson himself. When my friend in Princeton went to the" Archaeology "of the Flint Library, I got it from the old man's hand ... you should know the one I said Who is the old man? "

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

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

Lu Zhou's eyebrows were raised slightly.

"So what does this mean?"

Luo Wenxuan said excitedly: "They talked about the Riemann conjecture at the time. Although this sounded like a chicken and a duck, the final result was unexpected! Can you believe it? The Riemann function is a non-trivial density function with zero distribution It actually coincides well with the pairwise correlation function of the eigenvalues ​​of the random Hermitian matrix. "

When he heard the random Hermitian matrix, Lu Zhou's face finally showed an interested look.

Keenly captured the change in Lu Zhou's expression, Luo Wenxuan smiled and patted the stack of A4 paper on the table with his right hand.

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

"Let me see."

Sitting up from the office chair, Lu Zhou reached out and picked up the stack of papers printed on A4 paper, looking 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 had ever heard anyone talk about this paper."

Sitting at the corner of his desk, Luo Wenxuan grinned and said, "In fact, it's not difficult to understand. Before you make any achievements, have you heard of anyone discussing the proof of critical bands on Mathoverflow? I haven't seen anything new for half a century. "

"That's what ..." Brother Luo sitting at the corner of the table glanced casually, "Can you find a stool to sit on?"

"Oh, sorry," Luo Wenxuan touched his nose and slid down from the corner of the table. "I'm used to sitting in my office like this."

I put my attention back to the thesis, and the more I looked back, the more shocked Lu Zhou's heart was.

It's not because of Professor Dyson's own research results, but an almost magical phenomenon that he found in his thesis.

That is, the distribution density of the eigenvalues ​​of an N-th order random Hermitian matrix is ​​P (λ1, ..., λN) = Cexp [-Σiλi2] Πj> k (λj-λk) 2. By processing the distribution density to a certain degree, and using Wigner's semicircle law to perform a scaling transformation on the eigenvalues, and then normalizing the average interval of eigenvalues ​​to Δμ ~ 1, we can obtain the correlation function P2 (μ1, μ2 ) = 1- [sin (π | μ2-μ1 |) / π | μ2-μ1 |] 2.

What does this formula mean?

It's nothing else, it's the Riemann's non-trivial zero-point pair correlation function!

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

"very interesting."

Touching his chin, the expression on Lu Zhou's face became more and more interested.

To be precise, www.readwn.com is not just interesting anymore, it is incredible!

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

What does this magical association herald?

Thinking of this, Lu Zhou's brow could not help but frown slightly.

A deep hunch was telling him that he seemed to be approaching something quite close to its essence.

But what exactly is this essence?

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

Noting that Lu Zhou suddenly glanced at the computer, Luo Wenxuan asked him curiously.

"what happened?"

"The new mail ... seems to have been sent by the editorial department of the" Mathematics Yearbook "." Holding the mouse, I opened the mailbox and saw the unread email in the mailbox. Lu Zhou double-clicked and opened it, while replying.

Hearing the reply from the "Mathematics Yearbook", Luo Wenxuan took a moment's notice, then asked excitedly.

"Overdraft?"

This "passed the draft" quieted everyone in the office, raised his ears and listened intently.

In particular, He Changwen, who was not far away, had almost thrown his ears away.

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

After a while, he said in uncertain tone.

"... not approved?"

The office was quiet for many seconds.

After a long time, aggressive expressions appeared on everyone's faces.

Luo Wenxuan: "...?"

He Changwen: "...?"

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

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