Chapter 853 The First Rejected Manuscript in Life

What Lu Zhou didn't expect was that he received a reply letter from Chang'an Avenue in the early morning of the second day after he handed the letter to Wang Peng.

In the reply letter, in addition to highly commending the contributions of him and the Jinling Institute for Advanced Study, he was also asked about his own opinions on the industrialization of carbon-based chips.

In fact, Lu Zhou himself has no opinion, and he can do whatever he wants. The only thing that surprised him was that he did not expect the efficiency of Shangjing to be so high. The expert discussion meeting was held last night, and the letter was sent the next morning. to him.

Turning over the envelope in his hand, Lu Zhou couldn't help asking.

"So fast?"

Standing next to Lu Zhou, Wang Peng explained back.

"This kind of confidential letter is transported by air, and it takes one and a half hours from Shanghai to Jinling. It was four o'clock in the morning when I received the call. At that time, this confidential letter was already in the National Security Bureau in Jinling. "

"That's not what I mean... Forget it, let's not talk about it," Lu Zhou put away the letter from the Elder's House, saw Wang Peng and said, "Send me to Jin University."

Wang Peng nodded and opened the car door for Lu Zhou.

"Okay, please get in the car."

...

Put aside the matter of carbon-based chips for the time being.

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

Yesterday, because he suddenly received a reward for a system task, Lu Zhou left the Jinling Institute for Advanced Study early, and later he was dragged there because of the carbon-based chip, resulting in half of the research being put there.

He dug out the draft paper that was not completed yesterday from the drawer. Lu Zhou spent about 5 minutes reviewing the previous part, then took out a ballpoint pen from the pen holder, and continued the unfinished calculation Counted quietly.

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

At this moment, the door of the office was suddenly pushed open. Brother Luo, who was holding a stack of A4 papers in his hand, walked in quickly with a look of excitement, and said excitedly before he reached Lu Zhou.

"...I took a look at Dyson's paper some time ago, and guess what I found?"

I am used to this guy who never knocks on the door and treats himself as an outsider. Lu Zhou raised his head and joked casually.

"Dyson? The physicist who switched to writing science fiction?"

"Correct, he is not a science fiction writer, he is one of my idols!" Shaking the stack of A4 papers in his hand, Luo Wenxuan said with excitement and affirmation: "I found out from his paper that Quite interesting stuff, I guess you will be interested!"

The so-called science fiction writer is just a joke. Of course, Lu Zhou knows that Dyson’s contribution is far more than just a few "science fiction novels". The theory of "spin wave" created by him is probably the most outstanding physics in the 1950s One of the results.

Just like Hawking, because he is too famous in the field of popular science or science fiction, most people selectively ignore his own academic level. After all, in the eyes of mortals, scholars at the top of the chain of contempt are either the Pope aloof, or hermits who never bother to explain anything to mortals...

Looking at Senior Brother Luo with an excited face, Lu Zhou did not resonate with his excitement, but said with a little interest: "I am only interested in the Riemann zeta function now, if it is about quantum chromodynamics research...I suggest you discuss it with other professors in the academy."

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

"Oh?" Lu Zhou finally stopped the pen in his hand, and turned his interested eyes to Senior Brother Luo, "Then tell me, what did you find in his paper?"

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

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

Putting the stack of A4 papers on Table Mountain, Luo Wenxuan propped up the table with both hands, talking to Lu Zhou excitedly.

"To be precise, it is a diary that is said to be written by Dyson himself. When my friend in Princeton went to the Flint Library for 'archaeology', I found it from the old man... You should know the one I'm talking about Who is the old man?"

"The old man who always wears his nightgown and dresses himself up like a wizard?"

"That's right, it's him...Of course these are not the point, the point is that we found this," Luo Wenxuan said as he picked up his phone and shook it, showing the photo to Lu Zhou, "In Dyson's own In the diary, we found a record of the conversation between him and Montgomery at the tearoom meeting."

Lu Zhou raised his eyebrows slightly.

"So what does this mean?"

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

When he heard the random Hermitian matrix, Lu Zhou finally showed interest on his face.

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

"Then, I found out about his paper published in the Rapid Review of Physics the following year... Tell me, are you still not interested?"

"I'll see and talk."

Sitting up from the office chair, Lu Zhou reached out and picked up the stack of papers printed on A4 paper, and carefully read them line by line.

And when he saw the second page, the expression on his face gradually became unusual.

"...It's surprising why no one has ever heard of this paper when I was working on the Riemann Hypothesis."

Sitting at the corner of the desk, Luo Wenxuan grinned and said, "Actually, it's not difficult to understand. Before you made your results, have you ever heard of someone discussing the proof of the critical band on Mathoverflow? This line of thought is almost Haven't seen anything new in half a century."

"It's true..." Lu Zhou glanced at Senior Brother Luo sitting at the corner of the table, and said casually, "Can you find a stool to sit on?"

"Oh, I'm sorry," Luo Wenxuan rubbed his nose and slid off the corner of the desk, "I'm used to sitting like this in my office."

Returning his attention to the thesis, the more he looked back, the more shocked Lu Zhou was.

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

That is, the distribution density of the eigenvalues ​​of an N-order random Hermitian matrix is ​​P(λ1,.,λN)=C exp[-Σiλi2]Πj>k(λj-λk)2. The distribution density is processed to a certain extent, and the eigenvalues ​​are scaled using Wigner's semicircle law, and then the average spacing of the eigenvalues ​​is normalized to Δμ~1, and the correlation function P2(μ1, μ2 )=1-[sin(π|μ2-μ1|)/π|μ2-μ1|]2.

What does this formula mean?

It is nothing else but the pair-correlation function of the non-trivial zeros of the Riemann zeta function!

It's not just like, 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, it's not just interesting, it's incredible!

Why does the purest mathematical property such as the non-trivial zero point distribution of the Riemann zeta function have anything to do with the most realistic physical phenomena such as quantum systems, disordered media, and neural networks?

What does this magical connection itself portend?

Thinking of this, Lu Zhou frowned slightly.

A dark premonition is telling him that he seems to be approaching something quite close to the essence.

But what is this essence?

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

Noticing Lu Zhou's sudden glance at the computer, Luo Wenxuan looked at him curiously and asked.

"What's wrong?"

"New email...it seems to be from the editorial department of "Annual Journal of Mathematics." Holding the mouse, he clicked on the mailbox and saw the unread email in the mailbox. Lu Zhou replied casually while double-clicking to open it.

When Luo Wenxuan heard that it was the reply from "Annual of Mathematics", Luo Wenxuan was slightly stunned, and then asked excitedly.

"Did you finish the draft?"

The sound of "Draft finished" made everyone in the office quiet, and listened attentively.

Especially He Changwen, who was sitting not far away, almost threw his ears over.

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

After a while, he said in an uncertain tone.

"...Not approved?"

The office was quiet for many seconds.

After a long time, a bewildered expression appeared on everyone's faces.

Luo Wenxuan: "...?"

He Changwen: "...??"

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