Chapter 233: The Last Piece of the Puzzle
There is a well-known joke in the world of mathematics that is used to ridicule physicists, about how physicists use experiments to prove that "odd numbers are prime".
First of all, 1 does not need to be proved according to the definition, 3 is a prime number, 5 is a prime number, 7 is a prime number, 9 is an error, 11 is a prime number, and 13 is a prime number......
OK, enough experiments have been done, odd numbers are prime, perfect!
Then, after a few years, the experimental equipment was updated, and finally the number of more than 100 digits was verified, and it was found that the statistical confidence level of "experimental error" finally exceeded the threshold and could no longer be explained by experimental error, so this theory was patched and redefined physics above 100 digits.
It sounds a bit like the evolutionary history of relativity.
But in fact, the essence of theoretical physics is such a lack of mathematical beauty.
The characteristic peak of 750 GeV is located in a position similar to the "9 in the odd number", and when it is repeated many times, it is a "sign" or even a "discovery". But when it suddenly disappears, then it becomes an error.
Unfortunately, even with the upgraded Hadron Collider, all it can do is something like "retrieving odd numbers below the hundreds".
At the end of the meeting, Professor Frank disbanded the group.
Lu Zhou's harvest was only two journal papers co-signed with Professor Frank and his doctoral students.
It's definitely bad news for him.
However, Lu Zhou did not intend to give up.
Even if Professor Frank chooses to give up, he will continue the project.
Mathematics is the language of God, and although Lu Zhou does not believe in God, he believes that mathematics does not deceive people.
Through rigorous calculations, he predicted the appearance of the characteristic peak, and although it disappeared for some reason, he absolutely did not believe that nothing existed there.
Otherwise, how to explain the errors that occur simultaneously on the ATLAS and CMS detectors?
Is it just quantum fluctuations?
At the same time, the fluctuations observed by these two detectors are inevitably too large.
originally planned to play in New York for two days, but because of this incident, Lu Zhou was also in no mood.
That afternoon, he drove back to Princeton from New York.
When he returned to the apartment, it was already night, and he happened to meet Molina, who had just returned from a late run. At this moment, she is wearing a black sweatshirt, her golden hair is wet with sweat, exuding a charm that is completely different from the usual dignified and elegant.
Her gaze swept over Lu Zhou's face, as if she could see something, and Mo Lina teased in a teasing tone.
"I can see that you're not in a good mood."
"Yes."
Molina raised her eyebrows, and her smile was a little gloating: "Dumped? β
"Sort of."
Lu Zhou replied perfunctorily, took out the key to open the door, and went back to his house.
Molina looked at his back in a daze, looked at the closed door, and after a long time, she muttered something to herself.
"I was really dumped......"
β¦β¦
Mining the characteristic peaks of 750GeV requires a hadron collider, a brighter detector, and a lot of things......
He can predict the occurrence of characteristic peaks through calculations, but he cannot prove the existence of a particle through simple calculations. All he could do was refine the physical model and wait for CERN to test his theory.
But sadly, it seems that most people have lost faith in the number 750.
As Molina said, he was "dumped" and physics threw him aside.
Lu Zhou didn't think of a better way at this time, so he could only seek comfort in the embrace of mathematics.
At the very least, the refinement of the group construction method has reached the final step, and perhaps this temporary frustration can be turned into motivation to help him find the last piece of the puzzle on the Dragon Slayer Knife.
went to the bathroom to take a shower, and Lu Zhou went to bed early.
The next day, he got up early, regained his spirits, and went to the mathematics department building with the lecture notes he had downloaded and printed from the Internet.
Of all the buildings at Princeton University, the building of the Department of Mathematics is the tallest and symbolizes the otherworldly status of the Department of Mathematics here.
However, Lu Zhou, who came here, did not listen to an esoteric lecture, but just a elementary number theory class for undergraduates.
As for why he, the winner of the Cole Number Theory Prize, sits here and spends time listening to these basic things, when he was lying in bed last night, he suddenly remembered a book he had read in his spare time during self-study in the library of Jinling University.
That book is the autobiography of Mr. Yang Zhenxi, and there is a whole chapter in it, which is about the memories of a generation of master Fermi.
In his autobiography, Fermi advised him not to stay too long at the Institute for Advanced Study in Princeton, because it was like a convent.
Mr. Yang himself, the biggest impression of Fermi is that he likes to communicate with students, not only is he keen to give lectures, but even organizes seminars himself, and even brings out six Nobel Prizes.
And, as he mentioned more than once, his ideal plan was to retire to teach physics at a small Ivy League college in the eastern United States and write a book that contained all the difficult points in physics that were often masked by words such as "well-known."
From Vera's letter, Lu Zhou suddenly realized that when he delved into Goldbach's conjecture, he ignored some "well-known" things.
Hurfgot's paper is very instructive, but it is too jumpy in itself. Although for Lu Zhou, those things that were skipped were "obvious", many details were left out of these "obvious".
Abstraction should come after meticulous work, but never before solving it.
Lu Zhou hopes that by recalling some basic things, he can pick up those things that he has been away from for too long and re-examine them, which may bring some inspiration to himself.
Quietly entering the classroom through the back door, Lu Zhou did not attract anyone's attention and found an empty seat in the last row of the classroom to sit down.
The professor who gave the lecture was Charles Feffordman, the current head of the mathematics department, who was said to have completed calculus at the age of 12, received a Ph.D. from Princeton at the age of 20, and was a full professor at the University of Chicago at the age of 22.
Charles looked up at the classroom, his gaze lingered on Lu Zhou's face for two seconds, obviously recognizing him, but he didn't say anything, but as usual, he was writing on the whiteboard while lecturing in his slow and logical voice.
Princeton is not only a place where the classrooms are high, but also the students, who are home to the best of the IMO competition and the best minds from all over the United States and around the world.
Lecturing to these geniuses is obviously not as easy to fool as a general university lecture.
Especially for professors who are often sloppy.
Speaking of the proof of the theorem of prime numbers, Charles, who had his back to the classroom, had just written the twentieth line of the equation when someone in the classroom raised his hand.
"Professor, the value of the Ξ¦(s) function should be 2, not 3!"
Obviously, someone has already previewed various proofs of the prime number theorem.
Charles turned around, smiled calmly, seemed to be confident, and said slowly: "What you said is right, but believe it or not, even if I write this step wrong, I can still come to the same conclusion." β
The student froze, and a whisper erupted in the classroom.
From the sound of the whispered discussion, Lu Zhou could feel the disbelief of these students.
Not only these students, but Lu Zhou himself also felt a little bit of this way.
He is the most demanding in his calculations, and even if his ideas sometimes reach a dead end, he will not make mistakes in his calculations.
However, Lu Zhou did not say anything, but waited for the professor to finish writing all the processes.
Charles didn't speak, turned around, turned his back to the classroom and continued to read.
Fifteen minutes passed, and when he wrote down the last line of the equation, everyone in the classroom froze.
Especially the student who stood up and pointed out his mistake had a skeptical expression on his face.
That mistake was clearly there, but in the end, it ......
He really figured it out!
"There are probably more than ten ways to prove the prime number theorem, as far as I have studied. Computational rigor is very important, but when we explore frontiers, it is more important to be logically self-consistent, which is not just the basis of mathematics, but the foundation of all sciences. As for why I came to the same conclusion, because after trying many methods, I found that many of them actually lead to the same goal......"
As he spoke, Charles smiled, gently erased the 3 after the Ξ¦(s) equal sign, changed it to 2 and continued, "Of course, this is just my sophistry about the wrong. Our Smith is right, the calculation here is indeed 2. It's just that both 2 and 3 satisfy the interval we define by the function ΞΆ (x). β
It was clear that the professor had become familiar with the process to the point where he knew it by heart.
Lu Zhou even suspected that he deliberately made a mistake and made fun of these rookies.
Of course, the point of concern is not here.
"Do you have the same end ......?"
Chewing on this sentence repeatedly, Lu Zhou fell into deep thought.
Gradually, his eyes brightened.
Faintly, Lu Zhou suddenly felt it.
The piece of the puzzle he was looking for was already in his hands......
Genius one second to remember the address of this site:. Mobile version reading URL: m.