Scholar’s Advanced Technological System

Chapter 233: The last piece of the puzzle

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For him, this is definitely bad news.

He can predict the appearance of characteristic peaks through calculations, but he cannot prove the existence of a certain particle through simple calculations. All he can do is continue to improve the physical model and wait for CERN to verify his theory.

"Professor, the value of the Φ(s) function should be 2, not 3!"

But in fact, the essence of theoretical physics is such a thing that lacks mathematical beauty.

After going to the bathroom and taking a shower, Lu Zhou went to bed early.

Originally, he planned to spend two days in New York, but because of this incident, Lu Zhou was not in the mood.

Mathematics is the language of God. Although Lu Zhou does not believe in God, he believes that mathematics cannot lie.

Even if Professor Frank chooses to give up, he will continue this topic.

"I can tell you're not in a good mood."

Abstraction should follow detailed work, but never before solving it.

"I was really dumped..."

As for why he, as the winner of the Cole Prize in Number Theory, would sit here and spend time listening to these basic things, when he was lying in bed last night, Gein suddenly recalled that he was studying in the Jinling University library in his spare time. A book that passed.

But unfortunately, it seems that most people have lost faith in the number 750.

Among all the buildings at Princeton University, the Department of Mathematics building is the tallest building, and it also symbolizes the extraordinary status of the Department of Mathematics here.

Otherwise, how to explain the simultaneous errors on the ATLAS and CMS detectors

However, Lu Zhou did not say anything, but waited for the professor to finish writing all the processes.

Lu Zhou quietly walked into the classroom from the back door without attracting anyone's attention, and found an empty seat in the last row of the classroom to sit down.

Lu Zhou could feel the disbelief of these students from the low voices of the discussion.

The mistake was obviously there, but in the end...

Through rigorous calculations, he predicted the appearance of the characteristic peak. Although he did not know why it disappeared, he absolutely did not believe that there was nothing there.

Charles looked up at the classroom and his eyes stayed on Lu Zhou's face for two seconds. He obviously recognized him, but he didn't say anything. Instead, as usual, he wrote on the whiteboard while using his slow and steady voice. Voice lectures.

Obviously, someone has previewed various proofs of the prime number theorem.

However, Lu Zhou had no intention of giving up just yet.

Lu Zhou answered perfunctorily, took out the key, opened the door, and went back to his room.

The professor who gave the lecture was Charles Fefferman, the current chairman of the mathematics department—a super genius who was said to have finished calculus at the age of 12, received a PhD from Princeton at the age of 20, and taught as a full professor at the University of Chicago at the age of 22.

He really figured it out!

The student was stunned, and there were whispers in the classroom.

Princeton is not only a high-level classroom, but also has a large number of talented students. It is home to strong players in IMO competitions, as well as geniuses from all over the United States and even the world.

Fifteen minutes later, when he wrote the last line of calculation, everyone in the classroom was stunned.

After chewing these words over and over, Lu Zhou fell into deep thought.

This sounds a bit like the evolutionary history of relativity.

"So be it."

When talking about the proof of the prime number theorem, Charles, who had his back to the classroom, had just written down the twentieth line of calculations when someone in the classroom raised their hands.

There is a famous joke in the mathematics community that is used to poke fun at physicists. It talks about how physicists used experiments to prove that "all odd numbers are prime."

As Molina said, he was "dumped," physics threw him aside.

At least, the perfection of the group construction method has reached the final step. Perhaps this temporary frustration can be turned into motivation to help him find the last piece of the puzzle to complete the dragon-slaying sword.

In his autobiography, Fermi mentioned that he had advised him not to stay too long at the Institute for Advanced Study, as it was like a monastery.

Of course, the point worth paying attention to is not here.

The position of the characteristic peak of 750GeV is probably similar to "9 in odd numbers". When it appears repeatedly many times, it is a "sign" or even a "discovery". But when it suddenly disappears, then it becomes an error.

Unfortunately, even the upgraded Hadron Collider can only do something similar to "retrieve odd numbers below a hundred digits."

Not only these students, but Lu Zhou himself also feels this way.

Helfgott's paper is very enlightening, but it itself is too jumpy. Although for Lu Zhou, those things that were skipped are "obvious", many details are missing in these "obvious".

"Yes."

However, what Lu Zhou heard when he came here was not a profound lecture, but an elementary number theory course for undergraduates.

Just quantum fluctuations

Lu Zhou couldn't think of any better way at the moment and could only seek comfort in the embrace of mathematics.

Moreover, he mentioned more than once that his ideal plan is to teach physics at a small Ivy League college in the eastern United States after retirement and write a book that contains all the difficulties in physics, which are often described as "well known" Such words obscure the past.

That afternoon, he drove back to Princeton from New York.

Lu Zhou hoped that by recalling some basic things, he could pick up those things that he had stayed away from for too long and re-examine them, which might bring him some inspiration.

"Different paths lead to the same destination..."

What Lu Zhou gained was only two journal papers co-signed by Professor Frank and his doctoral students.

He got up early the next day, regained his energy, and went to the mathematics department building with the lecture notes he downloaded and printed from the Internet.

That book is the autobiography of Mr. Yang Zhenning, and there is a whole chapter about the memories of the great master Fermi.

The piece of the puzzle he was looking for was already in his hands...

Then, after a few years, the experimental equipment was updated, and I was finally able to verify numbers with more than 100 digits. I found that the statistical confidence of the "experimental error" finally exceeded the threshold, and it could no longer be explained by experimental error, so I patched this theory. , redefining physics beyond hundreds of digits.

As he said that, Charles smiled, gently erased the 3 after the Φ(s) equal sign, changed it to 2 and continued, "Of course, this is just my sophistry about the mistake. Our classmate Smith said That’s right, the calculation result here is indeed 2. It’s just that whether it is 2 or 3, it satisfies the interval we define through the function ζ(x).”

Molina stared blankly at his back and the closed door. After a long while, she murmured something to herself in a low voice.

Especially the student who stood up to point out the mistake, his face was full of doubts about life.

Charles didn't speak, turned around, faced away from the classroom and continued writing on the blackboard.

He has the highest demands for rigorous calculations. Even if his ideas sometimes lead to dead ends, he will never make mistakes in calculations.

As for Mr. Yang himself, the biggest impression he had on Fermi was that he loved communicating with students. Not only was he keen on giving lectures, he even organized seminars himself, and even won six Nobel Prizes for this.

At the end of the meeting, Professor Frank dismissed the research team.

Giving lectures to these geniuses is obviously not as easy to fool as giving lectures in ordinary universities.

OK, enough experiments have been done, odd numbers are all prime numbers, perfect!

Molina raised her eyebrows and smiled a little gloatingly: "Dumped?"

When he returned to the apartment, it was already evening, and he happened to meet Molina who had just returned from a late run. At this moment, she was wearing a black sportswear, her golden hair was wet with sweat, exuding a completely different charm from her usual dignified and elegant look.

"There are probably more than ten methods of proving the prime number theorem that I have studied. Rigorous calculations are very important, but when we explore cutting-edge fields, what is more important is logical self-consistency. This It is not just the basis of mathematics, but the basis of all sciences. As for why I can reach the same conclusion, it is because after trying many methods, I found that many methods actually lead to the same result... "

Mining the characteristic peak of 750GeV requires a hadron collider, a detector with a higher brightness, and many, many things...

Especially for those professors who often make mistakes.

From Vera's letter, Lu Zhou suddenly realized that when he was studying Goldbach's conjecture, he had overlooked some "well-known" things.

Looking across Lu Zhou's face, Molina seemed to see something, and teased in a teasing tone.

First let’s start the experiment. 1 by definition does not require proof, 3 is a prime number, 5 is a prime number, 7 is a prime number, 9 is an error, 11 is a prime number, 13 is a prime number...

Gradually, his eyes brightened.

Lu Zhou even suspected that he made the mistake on purpose to take advantage of these newbies.

Lu Zhou suddenly felt it vaguely.

Charles turned around, smiled calmly, seemed confident, and said slowly: "What you said is right, but believe it or not, even if I wrote this step wrong, I can still come to the same conclusion."

It is obvious that this professor is familiar with the process to the extent that he understands it by heart.

The fluctuations observed by the two detectors at the same time were a bit too large.