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

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

In fact, Lu Zhou himself has no opinions, just what to do, the only thing that surprised him a little was that he didn't expect the efficiency of Shangjing to be so high, he finished the expert discussion meeting last night, and the reply letter was sent to him the next morning.

Holding the envelope in his hand and flipping it down, Lu Zhou couldn't help but ask.

"So fast?"

Standing next to Lu Zhou, Wang Peng explained.

"This kind of confidential letter is all transported by air, and it can be from Shangjing to Jinling in an hour and a half. It was four o'clock in the morning when I received the call, and by that time the confidential letter was already in the National Security Bureau here in Jinling. ”

"I don't mean that...... Forget it, don't talk about it," Putting away the handwritten letter from the House of Elders, Lu Zhou saw Wang Peng and said, "Send me to Jinda." ”

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

"Okay, please get in the car."

……

The carbon-based chip thing is put aside for the time being.

After arriving at Jindae, Lu Zhou came to his office as usual, walked to the desk and sat down.

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

Turning over the part of the scratch paper that was not finished yesterday from the drawer, Lu Zhou spent about 5 minutes reviewing the previous parts, and then took out a ballpoint pen from the pen holder, and then quietly calculated the unfinished calculation.

As the minutes ticked by, the hour hand of the clock on the wall went from eight to nine.

At this moment, the door of the office suddenly opened, and Senior Brother Luo, who was holding a stack of A4 papers in his hand, walked in quickly with an excited face, and said excitedly before he walked to Lu Zhou.

“…… Some time ago I flipped out Dyson's paper and looked at it, and guess what I found? ”

It's used to this guy never knocking on the door and not treating himself as an outsider, Lu Zhou raised his head and joked casually.

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

"Correctionally, he's not a science fiction writer, he's one of my idols!" Shaking the stack of A4 paper in his hand, Luo Wenxuan said with excitement and affirmation: "I found quite interesting things from his paper, I guess you will definitely be interested!" ”

The so-called science fiction writers are just a joke, and Lu Zhou certainly knows that Dyson's contribution is far more than just a few "science fiction", and the theory of "spin waves" created by him is probably one of the most outstanding physics achievements in the 50s.

It's just that just like Stephen 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 high popes or hermits who never bother to explain anything to mortals......

Looking at Senior Brother Luo, who was excited, Lu Zhou did not resonate from his excitement, but said with a little lack of interest: "I am only interested in the Riemann zeta function now, if it is about the study of quantum chromodynamics...... I suggest you talk to other professors at the Faculty of Things. ”

"It's not quantum chromodynamics, I'm talking about the Riemann Zeta function!"

"Oh?" Lu Zhou finally stopped the pen in his hand and cast his interested gaze on Senior Brother Luo, "Then tell me, what did you find in his paper?" ”

Lu Zhou didn't believe that Dyson had studied the Riemann hypothesis.

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

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

"To be precise, it's a diary supposedly written by Dyson himself, which I picked up from the old man when my friend in Princeton went to the Flint Library 'archaeology'...... You should know who that old man I'm talking about. ”

"That old man who always wears a 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 Lu Zhou the photo, "In Dyson's own diary, we found a record of the conversation between him and Montgomery when they met in the tea room. ”

Lu Zhou's eyebrows raised slightly.

"So what does that mean?"

Luo Wenxuan said excitedly: "They talked about the Riemann conjecture at that time, although it sounds like a chicken and a duck, but the final result is surprising!" Can you believe that? The density function of the nontrivial null distribution of the Riemann function is in good agreement with the pair-correlation function of the eigenvalues of the stochastic Ermi matrix. ”

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

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

Then I found his paper, which was published in the Physics Flash Review the following year...... Tell me, are you still not interested? ”

"I'll see."

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 carefully line by line.

And when he saw the second page, the look on his face became more and more unusual.

“…… It's amazing why no one has ever heard of this paper when I was working on the Riemann hypothesis. ”

Sitting on the corner of the desk, Luo Wenxuan grinned and said, "Actually, it's not difficult to understand, before you made the results, did you hear anyone discuss the proof idea of the critical zone on Mathoverflow?" I haven't seen anything new in this line of thought for almost half a century. ”

"That's right......" Glancing at Senior Brother Luo who was sitting at the corner of the table, Lu Zhou said casually, "Can you find a stool to sit on?" ”

"Oh, I'm sorry," Luo Wenxuan touched 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 paper, the more he looked back, the more shocked Lu Zhou's heart became.

Not so much because of Professor Dyson's own research, but because of an almost miraculous phenomenon he discovered in his paper.

That is, the distribution density of the eigenvalues of an N-order random Ermi matrix is P(λ1,...,λN)=Cexp[-Σiλi2]Πj>k(λj-λk)2. The distribution density is processed to a certain extent, and the eigenvalues are transformed by using Wigner's semicircular 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|) can be obtained /π|μ2-μ1|] 2。

What does this equation mean?

It is none other than the Riemann ζ function of the non-trivial zeros of the pair correlation function!

It's not just like anymore, 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 do the purest mathematical properties like the nontrivial zero-point distribution ζ of Riemann functions be related to the most realistic physical phenomena such as quantum systems, disordered media, and neural networks?

What does this magical correlation itself portend?

Thinking of this, Lu Zhou's brows couldn't help frowning slightly.

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

But what exactly is this essence?

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

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

"What's wrong?"

"New Message...... It seems to have been sent by the editorial office of the Annals of Mathematics. Holding the mouse and clicking on the mailbox, seeing the unread email in the mailbox, Lu Zhou double-clicked and clicked on it, and replied casually.

Hearing that it was the reply from the Annals of Mathematics, Luo Wenxuan was slightly stunned at first, and then asked excitedly.

"Approved?"

This "the draft has passed" made the whole office quiet, and they pricked up their ears and listened intently.

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

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

After a moment, he said in an uncertain tone.

“…… Won't pass? ”

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: "......??? ”