In the end, Academician Wang Heng did not change a word of this paper. The old academician just commented with a face full of relief: "Xiao Ning, you and Qin Ke have far surpassed me in terms of partial differential equations and Abelian groups.

I hurriedly read this paper within an hour, and I can only say that I barely understood about half of it. Naturally, I can't make any valuable comments. I can only confirm that the overall logical context should be correct. That's how you submit your paper.

Well. I believe that the entire world of mathematics and physics are looking forward to the birth of your epoch-making masterpiece."

There was no voice in the hall that questioned or thought the evaluation was too high or exaggerated.

Originally, there were people who kept their eyebrows furrowed and insisted on watching until the end, thinking that if I couldn't understand the first part, there might be parts in the back that I could understand, right?

In particular, most of them were muttering in their hearts that the proof process was not written by Qin Ke. Ning Qingyun could only make minor repairs at most and was about to be "taken away" again. But when they saw the paper written by Juan Xiu's beautiful handwriting at the back

In part, they were dumbfounded.

Mathematically, Ning Qingyun also introduced more and more profound theoretical content of particle physics, except for those two.

The physics professor can still understand one or two foreign languages, but the rest of the mathematicians can only stare at the familiar Chinese language as if they were reading from heaven.

After listening to the words of the old academician Wang Heng, everyone nodded silently subconsciously. No matter whether they were jealous or amazed, they still maintained the charming appearance of eighteen or nineteen years old, but they had already stood up in the international mathematics and physics circles.

There is no one at the top who is not convinced at all.

Ning Qingyun's confidence greatly increased: "Thank you, teacher, then I will go up and submit the article?"

"Go, go, be careful. Xiaoke, you stay with Xiaoning." Academician Wang Heng was afraid that Ning Qingyun would be in danger when going up and down the stairs, so he warned Qin Xiaoke in a gentle voice.

Qin Xiaoke made a military salute in a funny way: "Yes, Grandpa Wang! I will protect my sister-in-law!"

Watching Ning Qingyun and Qin Xiaoke walk up to the second floor and disappear behind the study door, 52-year-old Academician Xue Weikang sighed: "Everyone says mathematics is the language that reveals the truth of the universe. I have been studying it all my life.

Mathematics, only now, have we deeply realized how true this statement is."

Everyone nodded in approval subconsciously.

Even though most of them are not experts in physics, they can still have a general understanding of the significance of this paper to the physics world.

If the Standard Model of particle physics studies the origin of everything in the universe, then this paper describes this "origin" clearly and accurately in a mathematical way!

This will have a huge and far-reaching impact on the international physics community, especially the theoretical physics community!

…

By the time Ning Qingyun arrived in the study and opened his laptop, Artificial Intelligence Shimmer had already completed the conversion of the paper from handwritten manuscript to computer manuscript, and had also translated the Chinese into English.

Thanks to the key "teachings" of Qin Ke and Ning Qingyun over the years, and the upgrade to LV4, Weiguang's translation of academic papers is now very accurate, and there is no problem whether it is translated into English or the language of mainstream international countries.

Ning Qingjun just checked the grammatical vocabulary of the key points, and after confirming that there was no problem, he directly submitted the article titled "Proof of the Mass Gap Problem of the Yang-Mills Equation and Mathematical Explanation of the Standard Model of Particle Physics" to the "Annals of Mathematics"

》.

When he submitted the paper "Determining the general solution of the "Yang-Mills equation" using the quadratic optimized lime tsunami storm flow circulation algorithm", Faltings took the initiative to help the two of them better compete for the Nobel Prize in Physics.

It was suggested that the two switch to the "Journal of Mathematics" of the Royal Swedish Academy of Sciences. Ning Qingyun always remembered this friendship, so this paper was submitted to the "Annals of Mathematics" first.

Moreover, such a long paper can only be published in a special issue, and the Annals of Mathematics has more experience in this regard.

After submitting the manuscript, Ning Qingyun uploaded the paper to arXiv using Qin Ke’s account.

After settling all this, she didn't really want to chat with the unfamiliar senior brothers, so she said hello to Qin Xiaoke and went to Qin Ke's room to rest.

Qin Ke was still sleeping and breathing evenly. According to Ning Qingyun's understanding of him, Qin Ke was probably about to wake up.

Ning Qingyun gently lay next to him, held Qin Ke's big hand, and clasped her fingers with his.

Smelling the familiar scent of her husband, a sense of security and dependence flowed throughout Ning Qingyun's body.

The tranquility, warmth, and satisfaction at this moment even surpassed the sense of accomplishment I felt when I finished writing my thesis not long ago.

Ning Qingyun thought in a daze that the withdrawn and stubborn self in her teenage years would never have imagined that one day in the future, she would be so deeply attached to a boy, right?

Ning Qingyun took Qin Ke's hand and placed it on her lower abdomen.

The five-month-old baby has already started to move. Feeling the two little lives being nurtured in her arms, the mother-to-be is filled with love and tenderness.

The only regret is that Qin Ke is still asleep and cannot talk to him and share his feelings at the moment.

Ning Qingyun turned sideways, kissed the side of Qin Ke's face, and said silently in her heart: "Wake up quickly, my dear Prince of Mathematics, I miss you."

…

Just when Ning Qingyun was clinging to Qin Ke's side, the paper she sent had already appeared in the backend of the editorial website of "Annals of Mathematics" through radio signals. However, it was still early morning in the United States time, and it basically started from

Editors who did not work overtime all night had naturally gone home and fell asleep, so they did not immediately notice this great paper that was destined to shock the entire world.

On the contrary, the arXiv website administrator works 24-hour shifts, and Qin Ke’s account was marked as the most important to focus on, so this article "Proof of the Mass Gap Problem of the Yang-Mills Equation and Mathematicalization of the Standard Model of Particle Physics"

The pre-printed version of the paper "Explanation (Chinese and English bilingual version)" was put on the top of the website's homepage as quickly as possible and announced throughout the site.

Then...all the scholars, mathematicians, and scientists who paid attention to arXiv exploded.

Although most scholars in Western countries have fallen asleep due to the time difference, there are still some night owls or scholars who are not far apart in time. They noticed this site-wide notification immediately and quickly opened the paper for careful reading.

For example, Mr. Pierre-Louis Lions, who currently lives in the United States, happened to be browsing papers on arXiv.

It was only about eight o'clock in the morning, country time, and Mr. Lions was at his best.

Mr. Lions is the winner of the Phil Medal in 1994 and a professor of partial differential equations and applications at the Collège de France. He has made revolutionary contributions to modern nonlinear partial differential equations and was the first person in the world to give Boltz's equations.

The mathematician who solved the Mann equation and proposed the proof is one of the most authoritative contemporary mathematics masters of nonlinear partial differential equations.

Not only does he have a high level of learning, but he also teaches excellent students. Professor Alessio Figali is also a master of nonlinear partial differential equations and won the Fields Medal in 2018.

The old gentleman is 68 years old this year, but he is still going strong. He is also very knowledgeable about Xia Guo. He has given lectures in Xia Guo's universities several times and published the autobiographical novel "Self-Portrait of a Mathematician". He is currently a member of the Petal Company.

Distinguished mathematics consultant.

However, because he is old and cannot read clearly, he can only wear reading glasses. Looking at the computer screen for a long time will make his eyes uncomfortable. Mr. Lions seldom uses the computer. Today is because of his former student Alessio.

Figali recommended to him several papers related to his current research, and these papers were on arXiv, so the old man turned on his computer and started reading.

"It's okay." After reading several papers recommended by Alessio Figali, Mr. Lions was not very satisfied. The creativity was good, but the logic was lacking, and the reference significance was not great.

Mr. Lions tried to use the search engine to search for the direction he was interested in, and found that although there were a lot of preprint papers on arXiv, the quality was also uneven. Most mathematics papers were naive in the eyes of a mathematics master like him.

Ridiculous, full of errors and omissions.

"Forget it, I'd better find the journal and read it." Mr. Lions shook his head and planned to close the website in disappointment.

Unfortunately, the standard of traditional mathematics journals, such as "Annals of Mathematics", "New Advances in Mathematics" and other top journals are too high, but there are only ten or eight papers in each issue, so it is difficult to find papers that are interesting to you and useful.

Just when Mr. Lions moved the mouse to the "X" button with emotion, the arXiv website suddenly popped up a prompt: "Notification to the whole site: Qin Ke, the greatest mathematician of Xia State, has published the latest preprinted version of the paper "

"Proof of the Mass Gap Problem of the Yang-Mills Equation and Mathematical Interpretation of the Standard Model of Particle Physics (Chinese and English bilingual version)", if you are interested, you can click on this link to enter the paper page, or you can enter through the pinned link on the homepage of this website

Thesis page.”

Qin Ke?

Mr. Lions is no stranger to this name. If we say which scientist is the most famous in the world today, Qin Ke will definitely be ranked in the top three. After all, the double Nobel Prize and the Fields Medal are such unprecedented and great academic achievements.

Coupled with the huge aura of overcoming world-class problems one after another, no one can match him except his wife named Ning Qingyun who stands beside him.

At the beginning of last year, Mr. Lions also read Qin Ke's "Proving that there is a smooth solution to the N-S equations in three-dimensional space". At that time, he was impressed by the superb mathematical skills and creativity of this Xia Guo mathematician.

He was deeply impressed by his mathematical thinking and profound mathematical background. Later, he heard that Qin Ke and his wife had published papers on the general solution of the N-S equation and the general solution of the Yang-Mills equation. He even found a journal to read carefully.

""Proof of the Mass Gap Problem of the Yang-Mills Equation and Mathematical Interpretation of the Standard Model of Particle Physics"? It's a bit interesting." Mr. Lions rubbed his dry eyes, thinking of the doctor's advice, and originally wanted to turn off the screen.

, but curiosity prevailed in his heart after all. He went to put in eye drops, then returned to the computer and clicked on the link.

He was among the first to click into the paper page, but there were already dozens of replies under the paper, almost all of which were "Academician Qin and his wife have published another paper, no matter what, I can occupy a precious corner of the sofa first." "Awesome, see.

The title feels like a masterpiece of the century!" "MARK it first, and then start reading!" and other exclamatory replies.

Mr. Lions is old, so naturally he won't play with these comments. He directly opened the paper and read it carefully from the title, author, and abstract.

The writing is very fluent, the logic is very rigorous, and every step is well-founded. What's even more rare is the flying creativity revealed in it, as well as the mathematical calculation techniques that are so exquisite that they are so clever that they are so clever.

The more Mr. Lyons looked at it, the more amazed he became, and the more he looked at it, the more entranced he became, completely forgetting the time and the environment he was in.

It's amazing. And the difficulty gets higher and higher as you go to the back. Mr. Elions, the world's top mathematical master in the field of partial differential equations, also encountered many difficulties. He didn't quite understand it when he first read it. Later, he himself

I took a pen and paper and checked it again before I understood the author's thinking.

Even though he had known for a long time that this young couple's knowledge of partial differential equations was among the best in the world, when he saw more than ninety pages, Mr. Lions couldn't help but exclaimed several times.

It wasn't until his wife came to ask him to have lunch that Mr. Lyons was shocked to realize that he had been sitting in front of the computer for almost five hours! And at this time, he had only read more than 150 pages of the paper!

There are almost forty pages left.

Mr. Lions was still unfinished and reluctant to leave the screen. He had not seen such a wonderful paper for a long time. Later, it was his wife who repeatedly "threatened" him with the doctor's orders, so Mr. Lions had to put down the mouse.

, rubbing his sore and tearful eyes, he went to eat.

But as soon as he finished eating, he got back in front of the computer and continued to read the rest, which made his wife angry and scolded: "What is the difference between you and those Internet-addicted brats?"

"It's different, it's different. There is an old saying in the Xia Kingdom that goes, 'Hear the Tao in the morning and die in the evening.' Now I fully understand the meaning of this sentence. If I don't finish reading this paper today, I'm afraid I will lose sleep at night."

It took Mr. Lions nearly three hours to finally read the paper. He couldn't quite understand many of the physics content in the last part, so he only understood it by searching for relevant explanations online.

It took him more than eight hours to read the more than two hundred pages of the paper. He basically understood it, but it would probably take him a week to fully understand the details.

Rubbing his sour eyes, Mr. Lions was in agitated mood. He did not close the webpage directly, but for the first time he excitedly left his own comment in the comment area: "Whether it is for the world of physics or mathematics, this is

It is a day worth remembering forever, because on this day the greatest paper on partial differential equations and theoretical physics was born, and even another paper on the general solution of the N-S equation, also co-authored by Qin Ke and his wife, is half inferior!"

"For all mathematicians, this paper is worthy of in-depth study for decades, because the mathematical thinking, mathematical methods, and mathematical innovations revealed in it are the most dazzling treasures in the mathematics world!"

"For all physicists interested in particle physics, this is also a great paper worth spending several years studying in detail, because it uses mathematical language to reveal the truth of the microscopic particle world and points out

The direction of new physics!”
Chapter completed!