Writing a history book of numbers theory with professional theoretical colors is a huge project and not a day or night.

Shen Qi wrote a few words when he was inspired. He was not in a hurry and worked slowly and meticulously.

It's Wednesday's coffee time again.

Shen Qi chatted with several doctoral students in the third-floor cafe of the Department of Mathematics.

"Jonas, from September last year to February, I have met you in a cafe for the first time. You have to know that I have never missed any Wednesday coffee time." Shen Qi said.

Jonas is also a PhD student, and this year marks his ninth year in Princeton.

More than a year ago, when Shen Qi came to Pudong University to study for graduate school, Jonas was a doctoral student.

It is very likely that Shen Qi will get the PhD in a few months, and Jonas will still be a doctoral student.

"I'm qualified to have coffee, aren't I?" Jonas smiled.

"Of course." Shen Qi nodded and asked another doctoral student: "Chris, how is the progress of your research project?"

Chris******, he said very mysteriously and seriously: "The Goldbach conjecture 1+1 problem is about to be solved by me."

"Oh, is that?" Shen Qi was skeptical. If Chris said it was true, then this would be an explosive news that shocked the mathematics community.

"Where are you, Sebastian, what topic are you studying?" Shen Qi asked a doctoral student with very curly hair.

Sebastian smiled faintly: "I think I have found a general solution for any tight, single norm group, which satisfies the Young-Mills equation system in four-dimensional Euclidean space."

"You are so awesome, Sebastian." Although Shen Qi verbally complimented Sebastian, he was suspicious in his heart.

Finding this general solution means mathematically explaining one of the millennial problems that have plagued human scientists for decades: the Young-Milles system of equations.

What a good day today, Chris declared that he was about to solve Coquit 1+1, and Sebastian said he had solved the Young-M equation.

Are these two doctoral students extremely talented or are they bragging about?

Further verification is required.

Shen Qi was still a little nervous. If Brother Guess and Yang-Mi equations were really dealt with by Chris and Sebastian, two guys who had been keeping a low profile for several years, then they would become the most dazzling academic stars today.

The number of pussy is limited. If someone pretends to be one more pussy, he will pretend to be one less pussy.

Shen Qi asked: "Sebastian, can you show the general solution of the Yang-M equation system? Of course, you have the right not to do so, if your research results have not been published yet."

"I'd love to do this." Sebastian stood up with a coffee cup and wrote on the blackboard with chalk.

The Mathematics Cafe of Puda Department is different from the charming cafes outside. There are several blackboards hanging on the walls here. If guests are inspired, they can improvise the blackboard.

Sebastian was drinking coffee while solving the Yang-Mi equations, leisurely and confident.

"This..." Shen Qi's heart was raised to his throat. Sebastian applied the method of symmetric groups to deal with them. This idea was correct. Did he indeed find the general solution of the Yang-Mi equation system?

On an extremely ordinary Wednesday, was the Yang-M equation system cracked like this?

Princeton is indeed a place of crouching tigers, hidden dragons!

Soon, Sebastian wrote his answer: du=iΘu-i8t^aau^g

"Wow! Sebastian, you're so great, this year's Fields Medal is yours!" Chris clapped.

"You are equally outstanding, Chris, the Fields Medal is ours." Sebastian smiled at Chris, full of tenderness.

"I... puff..." Shen Qi almost spit out a mouthful of coffee. He knocked on the blackboard and said questioningly: "Sebastian, don't tease me. I will never believe that the blackboard is written with the general solution of the Yang-Milles equation system. This is just a definition of a covariant derivative! However, the symmetric group processing in front of you is quite interesting. From a mathematical point of view, it has certain original ideas and academic value..."

"There are too few blank spaces on the blackboard, so I can only write so much. In short, my core ideas are written on the blackboard. You can understand as much as you can." Sebastian said with his hands spreading, and then sat back next to Chris.

This is an incredible thing. The most accurate physics theory in the world is based on a system of equations that no one can understand. So far, no one can find a general solution to this system of equations.

Shen Qi has never seen what the general solution of the Yang-Mi equation system looks like. No one in the world has seen it, including Yang Zhenning and Mills, the founders of the Yang-Mi equation system.

However, as long as you have a basic knowledge reserve for graduate students in the mathematics department and have a certain understanding of Maxwell's equations, Schrödinger equations, and general relativity, you can immediately determine that the answer written by Sebastian has nothing to do with the general solution of the Yang-M equations system.

"Jonas, what do you think of Sebastian's answer to the Young-Mills equation?" Shen Qi asked Jonas.

"Sorry, I don't understand it. This is not the same as my major. If Chris can write a solution to the 1+1 problem of Goldbach's conjecture, I think I can give an opinion." Jonas's major is number theory, and he expressed concern about the 1+1 problem of Goldbach's conjecture that Chris claims will be solved soon.

Shen Qi continued to study the derivation process and conclusions on the blackboard. He felt that Sebastian was fooling around, but it was also possible that Sebastian was right. His physical level was only level 6, and perhaps he could not deeply understand the true meaning of the Yang-Mi equation system?

Yang-M equation system is not a simple mathematical problem. It is a physics theory proposed by physicists. Physicists have constructed a standard model of particle physics, but they cannot explain it from a mathematical perspective.

For example, a child relies on his outstanding talent in space construction and built an impeccable castle with hundreds of building blocks. He can build building blocks, which is also perfect in practice. However, the child cannot explain from the principle of spatial geometry. Why build blocks like this? Can you explain it from the theoretical essence that this kind of building block is the best in the world?

This kid is a physicist. He asked his dad, the mathematician, Dad, I need a mathematical explanation to prove that the castle I built is the best castle in the world.

The mathematician's father was also confused. His level was limited. He only knew the results, but could not give a rational explanation.

The Yang-Mi system of equations is probably the above situation. The Yang-Mi system of equations can still be used without determining the general solution, and has been used for decades without falling a chain. However, the system of equations without a general solution is not 100% at 100% at ease. What if it falls off the chain under a very small probability?

Similar to the Yang-M equation system, n-s equations are also used.

When cutting-edge theories cannot make breakthroughs, humans can still develop and apply them at a rapid pace. However, people who engage in theoretical research still want to thoroughly study basic theories.
Chapter completed!