Volume 1: Student Life Chapter 502: The correct way to open the
Chen Zhou gently slid the mouse and clicked the left button.
But unfortunately, the page was stuck and didn't jump over for a long time.
After thinking about it, Chen Zhou opened another page.
Upload your completed paper.
Then, submit your article.
"This preprint website e-Print arXiv is so laggy. I'd better submit my proof to the Annals of Mathematics first, and then see if I can get back to this website..."
Thinking this way, Chen Zhou completed the submission of the paper proving the Goldbach conjecture in accordance with the requirements of the website of the Annals of Mathematics.
However, when he looked back, the e-Print arXiv website was still stuck.
The power of Harold Heofgot's third paper has not diminished in the slightest after these few days of digestion.
After waiting for a while, Chen Zhou lost his patience, so he left the webpage hanging there, took his phone and went back to bed.
Chen Zhou, lying on the bed, was in a pretty good mood.
Through studying the manuscript materials sent by Nott, Chen Zhou unexpectedly found the inspiration for the final push.
The manuscript of the Queen of Algebra brought him good luck.
This was also the reason why Yang Yiyi did not interrupt Chen Zhou while the video was on that night, but instead accompanied him to study until midnight.
Even at that time, Chen Zhou had already stayed up all night.
After that, Chen Zhou took a short rest and then adopted a complete retreat mode.
That is, turn off the mobile phone and disconnect all chat software.
Temporarily disconnected from the outside world.
He put all his energy into the final battle of the Goldbach conjecture.
Although there is a mathematician who is half a step ahead of him.
And no one knows when the other party will be able to completely solve the Goldbach conjecture.
There is a high probability that he is faster than me.
And your own research may become worthless.
But so what?
When Chen Zhou found the fleeting inspiration, he no longer cared about these things.
He just wanted to solve the problem of Gecai, which had lasted for nearly three hundred years, in his own way.
He just wanted to write the final answer on his draft paper.
Make the collection of wrong questions, which has become thick again, thinner.
In this way, Chen Zhou, who was in seclusion, looked for the inspiration he got from the manuscript and began to work hard on research day and night.
If you are really sleepy, just go back to bed.
If you can't go back, just lie down on the desk and take a nap.
After you wake up, continue.
In Chen Zhou's eyes and mind, there was nothing else except the content of the Goldbach conjecture.
The so-called concept of time has long been thrown away.
Until today, Chen Zhou finally completed the proof of the Goldbach conjecture!
Also completed the entire 101-page proof paper!
Only after he finished, when he was stretching, did Chen Zhou suddenly feel very tired.
After completing the proof of Goldbach's conjecture, the first thing Chen Zhou thought of was to upload it to the preprint website e-Print arXiv.
Let’s occupy this spot first.
After all, this topic is different from previous ones and has direct competitors.
At this time, Chen Zhou did not know that Harold Heofgot had uploaded the third paper.
So when he logged into the website, he was still very puzzled.
Why is the website, which is usually quite smooth, so slow today?
Once he got on top, he immediately understood.
At the same time, Chen Zhou's heart skipped a beat.
Is it too late for the research results that I worked hard on day and night?
So, Chen Zhou temporarily put aside the paper he was planning to upload and started searching for the third paper uploaded by Harold Heofgot.
It took Chen Zhou a while to download the third paper.
Then, Chen Zhou opened the paper and started reading.
This paper was indeed Harold Heofgot's final paper.
The results of this paper do indeed state that the Goldbach conjecture is proven to be true.
So, when Chen Zhou finished scanning the keywords and summaries, he felt very disappointed.
I thought that this time my efforts were in vain, and it was all over...
Looking at the paper on the computer, Chen Zhou's eyes, with severe dark circles under them, looked increasingly lifeless.
With a light sigh, Chen Zhou prepared to verify the contents of this paper.
This is his only chance to turn the tables.
If the final verification result shows no problem.
Then Chen Zhou definitely lost.
In the history of research on the Goldbach conjecture, there will be no mention of Chen Zhou's name.
However, once the final verification results show that the proof in the paper is flawed.
Then Chen Zhou's opportunity had come.
Of course, this defect cannot be small.
As Chen Zhou progressed in verifying his paper, his heart, which had fallen to the bottom, gradually stood up again.
He actually found the flaws in the paper!
And from Chen Zhou's point of view, this defect cannot be repaired!
Because this defect comes from the distributed deconstruction method!
This is the content that Chen Zhou is most familiar with!
Usually, once a proof is presented, it must be carefully examined and verified before it can be recognized.
Take Wiles's proof of Fermat's conjecture.
Wiles submitted a 200-page proof to Advances in Mathematics, one of the four major mathematics journals.
The editor of the journal then distributed the manuscript to six reviewers.
One of them is Nick, a mathematician from Princeton University.
Together with his colleagues, he spent two months carefully checking every logical link of the part they were responsible for.
Whenever they encountered an argument they couldn't understand , they emailed Wiles.
Wiles will reply to emails promptly to clarify the issues.
But by the end of August, Wiles' explanation of a problem failed to convince the two reviewers.
After further research, Wiles discovered that this problem was a flaw in the mathematical logic framework!
At first, Wiles thought a simple fix might be possible.
But as he set about fixing the flaws, pieces of the logical framework began to fall away.
Wiles immediately realized that this was not just a simple mistake, it might even go beyond the scope of a repairable defect!
If this is really a crack, an unrepairable defect, then it will cause the entire proof of the theorem to collapse!
However, by December 1993, six months after his Cambridge speech, Wiles had not fixed the flaw.
The proof that the mathematical world had waited for centuries was crumbling behind him.
Because it took too long, the final review could not be completed, and rumors began to spread that Wiles had not proved Fermat's Last Theorem at all.
Mathematicians also began to demand that he make his manuscripts public. If there were errors, his colleagues hoped that someone would magically see and fix the flaws.
However, Wiles is not going to let others grab this honor easily.
Like Chen Zhou, Wiles entered the "seclusion" mode before proving his ability.
The purpose of doing this is to get yourself back to your original state so that you can focus on repairing the defect.
Another is to avoid being disturbed by the outside world.
Because as time went on, people's thinking had become that Wiles had to prove Fermat's Last Theorem, and if he didn't, he would be in big trouble.
However, even if he returned to his original state, Wiles was unable to fix the defects in the paper for the time being.
Finally, under the persuasion of his good friends, Wiles invited his former student Taylor, who had become a famous number theorist at Cambridge University, to help him fix the flaws in the paper.
Throughout the spring and summer, Wiles and Taylor worked, often having long discussions on the phone late at night.
They also tried to correct the errors by making small improvements to the method used in Wiles' incomplete proof, starting from the initial "localized treatment".
It has developed to the point of "expanding the scope, casting a wider net, and looking for other methods."
However, by September 1994, after spring and summer, they still had not made any progress.
At this time, Wiles was ready to admit his failure to the world.
However, God sent good luck to Wiles just before he admitted his failure to the world.
Wiles decided to take one last look at the methods and structure he had used to originally prove Fermat's conjecture.
He tried to find out exactly why the mathematical logic framework didn't work, or at least make it clear that he had failed.
It was in this context that, suddenly and completely unexpectedly, Wiles made an incredible discovery.
He found the method that he had given up three years ago, namely the "Iwasawa Theory", in the mathematical method that had failed before.
The "Iwasawa Theory" was originally a tool to prove another conjecture, but at this moment, Wiles used it to completely make up for the fatal flaw in the mathematical logic framework.
It was also with this theory that Wiles and Taylor quickly fixed the loopholes in the paper within a few weeks.
Two years later, in May 1995, they published two papers in the Annals of Mathematics that combined all their work, including the final proof and accompanying discussion, totaling 130 pages.
It can be seen from this that the more significant the proof, the more rigorous the inspection and verification it needs to undergo.
After all, mathematics is a discipline that has been developing for thousands of years. If wrong proofs are allowed to become bricks and tiles, the thousand-year-old building of this discipline may collapse one day.
However, for Wiles, although it took a long time and the process was thrilling, it was ultimately a fixable defect.
Wiles still completed the proof of Fermat's Last Theorem, which also withstood the scrutiny and verification of the mathematical community.
His proof was recognized by the mathematical community.
However, the flaws that Chen Zhou discovered in Harold Heofgot's paper at this moment could not be repaired or compensated for.
There is no way that any "Iwasawa theory" can save this paper.
Of course, in order to make sure that he was not excited at the moment, Chen Zhou got the verification method wrong.
He also checked it again and verified it several times.
At the same time, Chen Zhou also cleverly used the magic weapon of wrong question collection.
The collection of wrong questions not only recorded the errors verified by Chen Zhou, but also became much thicker.
This also indirectly shows that even Chen Zhou himself was unable to correct the defects in the use of distributed deconstruction method in Harold Heofgot's paper.
The birth of the distribution deconstruction method originated from Chen Zhou's proof of Cramer's theorem.
At that time, we started from probability theory, normal distribution and so on, combined with mathematical tools of analytic number theory such as sieve method and circle method, and finally created the distribution deconstruction method.
However, Harold Heofgot ignored one of the most basic mathematical logic problems in the distributional deconstruction method in his paper.
This mathematical logic structure is far more fatal than what Wiles encountered.
Because this mathematical logical structure is directly related to the core logic of the distributed deconstruction method.
To put it bluntly, once this mathematical logical structure is ignored, the distributed deconstruction method will no longer exist.
Since the distributional deconstruction method no longer exists, where does this proof come from?
It is also possible that Harold Heofgott did not overlook this mathematical logical structure.
But as Chen Zhou said, he was too impatient.
After all, the two previous consecutive papers had already raised this matter to an extraordinary level.
If he had not selectively "lost contact and secluded himself" like Chen Zhou, he would very likely have been disturbed by the outside world.
No matter what, this is a difficult problem that has plagued the mathematical community for hundreds of years!
But then again, if it weren't for Harold Heofgot's impatience, no one would know what the current situation would be.
But now, Chen Zhou, who has verified this fatal flaw, has taken absolute initiative.
That is why Chen Zhou wanted to continue posting his paper proving Brother's conjecture on the preprint website e-Print arXiv.
I have to let everyone see my guess on the correct way to open it, right?
Besides, I haven't spoken for such a long time, so I have to stand up now, right?
It’s just a pity and helpless.
The entire mathematical community, and even people outside of it, was immersed in Harold Heofgot's third paper.
This preprint website, e-Print arXiv, is always stuck.
This is why Chen Zhou later submitted his paper and then refreshed the e-Print arXiv website.
Chen Zhou, lying on the bed, glanced at the computer .
The computer screen was blank and still didn't refresh.
Chen Zhou shook his head slightly, but did not turn off the computer. Instead, he decided to wait a while.
At this time, Chen Zhou's mobile phone was turned on.
As soon as he turned on the computer, he heard a series of sound effects.
The notification sound of that message never stopped...
Chen Zhou also experienced the feeling of having the screen flooded with messages.
It wasn't just the chat software's messages that were flooding the screen; the number on the text message icon was also constantly jumping.
After waiting for a long time, the messages that were flooding the screen gradually died down.
Chen Zhou couldn't help but hold his forehead with his hand. His mobile phone was turned off and all chat apps were disconnected. Coupled with the crazy spread of news outside, many people must have been worried.
After making sure that all the messages on his phone had popped up, Chen Zhou picked up his phone and checked them one by one.
Almost everyone who had his contact information sent him a message.
Ask about his situation and the situation of Kochi's proof.
Chen Zhou thought about it and replied to these .
Of course, the Weibo post with “99+” written on it was also opened by Chen Zhou after being hidden for so long.
Chen Zhou did not respond to netizens' concerns, questions, or insults one by one.
He simply updated a Weibo post.
"After nearly a year, the two graduate papers are finally completed. Oh, yes, one of them is the correct way to open it, I guess."
After Chen Zhou posted this Weibo, he turned around.
Just happened to see the refreshed e-Print arXiv website...
