A perfect score on the college entrance exam? The Preface to the Pavilion of Prince Teng has astonis
Chapter 65 Revealed! The Process of Confirming the Poincaré Conjecture!
The next day at 9:00 AM.
Chen Mo's Douyin account posted a new video.
It's not a five-second preview.
It's a full 47 minutes of live recording.
The camera was focused on the more than one hundred pages of manuscript paper on his desk.
He did not show his face; only his hands moved among the manuscript papers.
Occasionally, I would stop.
Pointing to a formula or a derivation.
Explain in a calm voice.
The video's title consists of only four words: "Proof Process".
He did not include the "Poincaré conjecture".
The phrase "shocking the world" was not added.
No eye-catching words were added.
It's just four words.
"Proof process."
Like a math teacher finishing writing the last problem on the blackboard.
He turned around and said, "get out of class dismissed."
Then he walked out of the classroom.
At the beginning of the video, he turned to the first page.
The title is written above, and an introduction is below.
His voice came in from off-screen, not loud, but very clear.
"I started with the proof of the Poincaré conjecture using the Ricci flow."
"Ricci flow is a tool introduced by Hamilton in the 1980s. Its core idea is to allow a Riemannian manifold to evolve according to a certain function of curvature, eventually becoming a simpler shape."
He turned to the second page.
"This is the definition of Ricci flow—?g\/?t =-2Ric(g). Evolutionary equation."
Laypeople are already starting to get confused.
What is "?g/?t"?
What is Ric(g)?
"Riemannian manifold? I've only heard of the Riemann Hypothesis."
"Is he speaking Chinese? I recognize every single word, but I can't understand it when they're put together."
A barrage of question marks and cries of "I don't understand" floated across the screen.
But insiders reacted completely differently.
Professor Lin Zhiyuan of the Mathematics Department at Peking University sat in his study.
A printed screenshot was laid out in front of him, with a pen and a notebook beside him.
When he heard the words "Rich Stream," he leaned forward about five centimeters.
His hands started to tremble when he heard “?g\/?t =-2Ric(g)”.
This is not nonsense; this is the real Ricci flow equation.
Moreover, the version he cited was the exact wording from Hamilton's original paper.
An eighteen-year-old boy not only knows about Ricci flow, but can also accurately write out its evolution equation.
This has exceeded all his understanding of "genius".
Chen Mo's voice continued.
He turned to page sixty.
"This is the definition of the reduced volume. The reduced volume is a monotonically decreasing function that acts as a Lyapunov function in singularity analysis. Perelman used it to prove that the singularity structure of a Ricci flow is controllable in a three-dimensional manifold."
On the live chat, laymen had completely given up. "What is he talking about? Reduced volume? Lyapunov?"
"I give up. I'll wait for the conclusion."
"Is there anyone from the math department who can translate this?"
"Even math majors wouldn't understand; this is the forefront of differential geometry."
"So, what he said is true?"
"I don't know, but it sounds very professional, not like nonsense."
Those in the know are frantically taking notes, taking screenshots, and researching information.
Someone posted a message on Weibo.
"I am a PhD student in topology. I listened to the first twenty minutes of Chen Mo's lecture, and I can say with certainty that he was not talking nonsense."
"Every definition, lemma, and corollary he makes is correct, and the logical chain is complete. I haven't found any loopholes so far."
This message was forwarded 100,000 times.
You have received a new chapter update: "Chapter 65 Revealed! The Process of Confirming the Poincaré Conjecture!", read the link below.
Someone in the comments section asked, "So he really proved it?"
Blogger's reply.
"It will take time to verify. But I'm certain that his approach is correct."
Chen Mo turned to the last few pages.
"After completing the singularity analysis and surgical procedure of Ricci flow, we came to the conclusion that any simply connected, closed three-dimensional manifold will evolve into a standard three-dimensional sphere after a finite number of surgical procedures."
"This means that the original manifold is homeomorphic to the three-dimensional sphere. This is the proof of the Poincaré conjecture."
He closed the manuscript and remained silent for a second.
"This is my proof of the Poincaré conjecture. The key lemmas and corollaries for each part are briefly explained in the video."
"I have uploaded the detailed derivation to arXiv. Mathematicians worldwide are welcome to verify it."
The video has ended.
Forty-seven minutes, a boy, a pair of hands, and one hundred and forty-seven pages of manuscript paper.
The last comment on the screen read: "Whether he's right or wrong, he's already ten thousand times better than me."
The entire internet exploded. Not slowly, but instantly.
The video garnered over 100 million views within an hour of its release.
The number of downloads of the paper on arXiv exceeded 10,000 within two hours.
The server almost crashed due to overload.
On Weibo, the hashtag "Chen Mo proves the Poincaré conjecture" is followed by a purple "Explosive" sign, and the number of views has exceeded 100 million.
On Douyin, Chen Mo's account has grown from 20 million to 30 million followers, and it's still climbing.
The dissenting voices haven't disappeared, but they've changed their tone.
"I don't believe it. A mathematical problem that's been unsolved for over a hundred years, in seven days? Even if he really did prove it, there must be something wrong with it."
"Don't rush to boast. Let the mathematicians verify it first. It's not too late to boast after the verification is successful."
The voices on both sides were like two rivers, colliding and surging on the same riverbed, neither giving way to the other.
And in the center of the river, there was the person who posted the forty-seven-minute video.
I'm cooking the second batch of frozen dumplings in the kitchen.
When Principal Wang saw the video, he was making tea in his office.
He doesn't understand mathematics, Ricci flow, reduced volume, or the Poincaré conjecture.
But he watched the entire 47-minute video.
It wasn't because I could understand it, but because it was Chen Mo's voice.
After listening, he put down his phone, picked up his teacup, and found the tea had gone cold.
He stood up, walked around the office twice, then sat down again, picked up his phone, and scrolled to a name in his contacts that he hadn't contacted in a long time.
Lao Zhou, his college classmate.
He is currently a professor in the Department of Mathematics at the Provincial Normal University.
He dialed the number.
The phone rang three times, then I answered it.
"Old Zhou, are you busy?"
"I'm fine, what's wrong?"
"Could you take a look at something for me? Chen Mo—that student from our school, the one who got a perfect score on the college entrance exam—posted a video today claiming to have proven the Poincaré conjecture. Could you check if he's right?"
There was silence on the other end of the phone.
Principal Wang thought the signal was lost, so he fed him twice. Old Zhou's voice finally came through, trembling as if he were choking on something.
"Old Wang, do you know what your student did? I also saw his comments from a few days ago."
"I know, the Poincaré conjecture. A problem that's been unsolved for over a hundred years."
"It's not just a problem."
Old Zhou's voice was trembling.
"It's one of the seven Millennium Prize Problems, with a one million dollar reward. The world's brightest minds haven't been able to solve it for over a hundred years. Your student, eighteen, solved it in seven days. Old Wang, you're not kidding me, are you?"
"I'm not kidding. Watch the video, and let me know when you're done."
The phone hangs up.
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