Writing a book on the history of number theory with a professional theoretical color is a huge project, and it is not an overnight effort.

Shen Qi writes a few words when he is inspired, he is not in a hurry, he works slowly and carefully.

It's coffee time for Wednesday again.

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

"Jonas, I saw you for the first time in the café from September last year until February, and you know, I've never missed a Wednesday coffee break. Shen Qi said.

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

More than a year ago, when Shen Qilaipu was a graduate student, Jonas was a doctoral student.

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

"I'm qualified to come for coffee, aren't I?" Jonas laughed.

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

Chris ******, very mysteriously and very seriously, said: "Goldbach conjecture is about to solve the 1+1 problem by me. ”

"Oh, is it?" Shen Qi will be skeptical, if what Chris says is true, then it will be an explosive news that shocks the mathematical community.

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

Sebastian smiled faintly: "I think I've found a general solution to any tight, single canonical group that satisfies the Young-Mills equations in four-dimensional Euclidean space." ”

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

Finding this general solution means a complete mathematical explanation for one of the millennial puzzles that has plagued human scientists for decades: the Young-Mills equations.

What a good day it is, Chris declares that he is about to solve Cochai 1+1, and Sebastian says that he has solved the Yang-Mi equation.

Are these two doctoral students talented all over the world, or are they awesome?

Further verification is required.

Shen Qi is still a little nervous, if the Gechai and Yang-Mi equations are really managed by Chris and Sebastian, two guys who have been obscure for several years, then they will become the brightest academic stars today.

The number of coercion is limited, and if someone pretends to be one more, they will pretend to be one less.

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

"I'd love to do it. Sebastian got up with his coffee cup and took the chalk and wrote on the blackboard.

Unlike the glamorous cafes outside, the Mathematics Café here is hung with several blackboards on the walls, and guests can improvise on the blackboard if they are inspired.

Sebastian sipped coffee while solving the Yang-Mi equation, leisurely and confident.

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

On an extremely ordinary Wednesday, the Yang-Rice equation was just cracked?

Princeton, as expected, is the land of Crouching Tiger, Hidden Dragon!

Soon, Sebastian wrote his answer: Du=IΘu-i8T^aAu^g

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

"You're just as outstanding, Chris, the Fields Medal is ours. Sebastian smiled at Chris, tender.

"I ...... Puff......" Shen Qi almost squirted out a sip of coffee, he knocked on the blackboard, and said very skeptically: "Sebastian, don't tease me, I don't believe that what is written on the blackboard is the general solution of the Yang-Mills equation, this is just the definition of a covariant derivative! ”

"There are so few blank spaces on the blackboard that I can only write so much, but all in all, my core ideas are all written on the blackboard, and you can read as much as you want. Sebastian said, then sat back down beside Chris.

It's an incredible thing, because the world's most accurate physics theory is based on a system of equations that no one has been able to understand, and no one has ever been able to find a solution.

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

However, as long as you have a basic knowledge base of graduate students in the Department of Mathematics, as well as a certain understanding of Maxwell's equations, Schrödinger's equations, and general relativity, you can immediately determine that the answer written by Sebastian has nothing to do with the general solution of the Young-M equations.

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

"I'm sorry, I don't understand, it's not in line with my major. If Chris can write a solution to the Goldbach conjecture 1+1 problem, I think I can give my opinion. Jonas, who specializes in number theory, is concerned about Chris's claim that the Gochai 1+1 problem is about to be solved.

Shen Qi continued to study the derivation process and conclusions on the blackboard, he felt that Sebastian was fooling, but it was also possible that Sebastian was right, his physics level was only level 6, maybe he failed to deeply understand the true meaning of the Yang-Mie equation?

The Yang-Rice equation is not a purely mathematical problem, it is a theory of physics proposed by physicists, who have constructed the Standard Model of particle physics, but they cannot explain it mathematically.

For example, a child with a superior talent for space construction, with hundreds of building blocks to build an impeccable castle, he can build the building blocks, and he does it perfectly in practice, but the child can't explain from the principle of space geometry, why build blocks like this? Can you give an explanation from the theoretical essence that this construction scheme is the best in the world?

This kid was a physicist, and he asked his father, the mathematician, "Dabi, that 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 he could not give a principled explanation.

The Yang-Meter equation is probably the above situation, the Yang-Rice equation can still be used in the case of uncertain solutions, and has been used for decades without falling off the chain, but the equation without a solution is never 100% reassuring, what if in some extremely unlikely case, it falls off the chain?

Similar to the Yang-Meter equation is the N-S equation.

Mankind can still develop and apply at a high speed when cutting-edge theories cannot make breakthroughs, but those who engage in theoretical research still want to study basic theories thoroughly.

Shen Qi was a little shaken by Sebastian, and at this moment, Edward Witten, who was sitting in the corner and watching coldly, spoke: "Sebastian, you disappointed me too much, this is the result of your four-year doctoral student?"