I just want to be a quiet scholar

Chapter 259 Still Equations
Writing a history book of number theory with a professional theoretical color is a huge project, and it will not be done overnight.

Shen Qi wrote a few words whenever he felt inspired, he was not in a hurry, he worked slowly and meticulously.

It's Wednesday coffee time again.

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

"Jonas, from September last year to February now, it was the first time I saw you in a coffee shop. You must know that I have never missed any Wednesday coffee time." Shen Qi said.

Jonas is also a doctoral student and this year is his ninth year at Princeton.

More than a year ago, when Shen Qi came to PSU to study as a graduate student, Jonas was a doctoral candidate.

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

"I deserve coffee, don't I?" Jonas laughed.

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

Chris wore glasses, and he said very mysteriously and seriously: "I will solve the Goldbach conjecture 1+1 problem soon."

"Oh, really?" Shen Qi was skeptical, if what Chris said was true, then this would be an explosive news that shocked the mathematics world.

"What about you, Sebastian, what subject are you researching?" Shen Qi asked a doctoral student with curly hair.

Sebastian smiled faintly: "I think I have found a general solution that satisfies the Yang-Mills equations in four-dimensional Euclidean space for any compact, simple gauge group."

"You are amazing, Sebastian." Although Shen Qi complimented Sebastian verbally, he had doubts in his heart.

Finding this general solution means that one of the millennium problems that has plagued human scientists for decades has been completely explained mathematically: the Yang-Mills equation system.

What a good day today, Chris announced that he was about to solve Guess 1+1, and Sebastian said that he had solved the Yang-Mi equation.

Are these two Ph.D. students extremely talented, or are they boasting so much?
Further verification is required.

Shen Qi is still a little nervous. If Ge Guai and Yang-Mi equations are really solved by Chris and Sebastian, two guys who have been hiding their strengths for several years, then they will become the most dazzling academic stars today.

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

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

"I'd be happy to do that." Sebastian stood up with his coffee cup in hand, and began to write on the blackboard with chalk.

The Mathematics Department coffee shop of Puda is different from the coquettish coffee shops outside. There are several blackboards hanging on the walls here. If the guests come to inspiration, they can improvise on the blackboards.

While drinking coffee, Sebastian solved the Yang-Mills equations, leisurely and confident.

"This..." Shen Qi's heart rose to his throat. Sebastian used the method of dealing with symmetry groups. This way of thinking is correct. Did he really find the general solution of the Yang-Mi equation system?

On a very ordinary Wednesday, the Yang-Mi equation system was solved like this?
Princeton is indeed the Land of Crouching Tiger, Hidden Dragon!

Soon, Sebastian wrote his answer: Du=IΘu-i8T^aAu^g
"Wow! Sebastian, you are so great, this year's Fields Medal belongs to you!" Chris applauded.

"You are equally outstanding, Chris, and the Fields Award is ours." Sebastian smiled at Chris with tenderness.

"I...poof..." Shen Qi almost spit out his coffee, knocked on the blackboard, and said very questioningly: "Sebastian, don't tease me, I never believe that what is written on the blackboard is The general solution of Yang-Mills equations, this is just the definition of covariant derivatives! However, the treatment of symmetry groups in front of you is quite interesting, only from the perspective of mathematics, it has certain original ideas and academic value.”

"There are too few blank spaces on the blackboard. I can only write so much. All in all, my core ideas are all written on the blackboard. Count as much as you can understand." Sebastian spread his hands and said, then sat back Chris side.

This is an incredible thing. The most accurate physics theory in the world is based on a system of equations that no one understands. No one has been able to find a general solution to this system of equations so far.

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.

But as long as you have a basic knowledge reserve of graduate students in the Department of Mathematics, and have a certain understanding of Maxwell's equations, Schrödinger's equations, and general relativity, you can immediately tell that the answer written by Sebastian has nothing to do with the general solution of the Yang-Mie equations.

"Jonas, what do you think of Sebastian's solution to the Yang-Mills equations?" Shen Qi asked Jonas.

"Sorry, I don't understand, it doesn't match my major. If Chris can write the solution of Goldbach's conjecture 1+1 problem, I think I can give my opinion." Jonas's major is number theory , he expressed concern about Chris’s claim that the brother guessing 1+1 problem 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 is also possible that Sebastian was right. His physics level was only level 6, and he might not have been able to understand it deeply. Have you realized the true meaning of Yang-Mie equations?
The Yang-Mi equation system is not a purely mathematical problem. It is a physical theory proposed by physicists. Physicists have constructed the standard model of particle physics, but they cannot explain it from a mathematical point of view.

For example, a child builds an impeccable castle with hundreds of building blocks by virtue of his outstanding talent for space construction. He can build blocks, and he does it perfectly in practice, but the child cannot explain it from the principles of space geometry. Why build blocks like this?Can an explanation be given theoretically that this construction scheme is the best in the world?

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

The mathematician father is also confused, his level is limited, he only knows the result, but cannot give a principled explanation.

The Yang-Mi equation system is probably the above situation. The Yang-Mi equation system can still be used when the general solution cannot be determined, and it has been used for decades without falling off the chain. Don't worry, what if it falls off the chain in some extremely small probability?

Similar to Yang-Mie equations are NS equations.

Human beings can still develop applications at a high speed when cutting-edge theories cannot make breakthroughs. However, those who engage in theoretical research still want to thoroughly study basic theories.

Shen Qi was a little shaken by Sebastian, and at this moment, Edward Witten, who was sitting in the corner watching coldly, said, "Sebastian, you let me down so much, this is your four Years of Ph.D. graduate students?"

(End of this chapter)