Chapter 622: Yang-Mills Equations General Solution!
Translator: Henyee Translations Editor: Henyee Translations
Solved it?
General solution for the Yang-Mills equations???
Where’s the process?
Wait a minute, what about the Q&A session?
Why did he just leave?!
Even though you’re a Fields Medal, you can’t just be this reckless?!
The audience in the venue looked at each other. The commotion spread throughout the venue like a tidal wave.
Some people shook their heads and stood up, ready to leave. Other people were overwhelmed. There were also some people that took photos of the calculations on the blackboard, and others that looked at their peers in shock, not knowing what to say.
Klitzing was stunned as he stared at the calculations on the blackboard while tightly gripping his pen. He wrote some stuff on a piece of paper and looked at Faltings and said, “Is this the general solution?”
Faltings stared at the blackboard without any expression. He could barely speak.
“I’m good at algebraic geometry. You’ll have to ask Fefferman about PDE1.”
Klitzing: “…?”
There are actually things that you’re not good at?
Even though Faltings kicked the ball to Fefferman, Fefferman was just as muddled.
Deligne stared at the calculations on the blackboard. He tried to make some calculations, but just like Faltings, he gave up. He looked at the PDE expert, Professor Fefferman, who was sitting next to him. He put down his pen and asked, “Are his calculations correct?”
“I don’t know… Even if I wanted to, I couldn’t verify the answer.” Fefferman paused for a second and said, “This is in the realm of computer science, not mathematics.”
Partial differential equations were different from general equations. It had the highest computational calculation requirement out of all of the mathematical disciplines.
Not only were there very few nonlinear partial differential equations that could be solved, but there were even fewer that had a solution. One could make the case that not only was this one of the most difficult areas of mathematics, but it was also an essential area for establis.h.i.+ng phenomenological models for other areas.
If Lu Zhou wrote down the calculation process, Fefferman could follow the steps and try to find any mistakes.
However, the general solution was just there, on its own.
He had no idea what to do.
Edward Witten closed the notebook in his hand and nodded with a serious expression.
“The verification calculation is too large… If he isn’t going to provide a calculation process, we’ll have to use supercomputers to verify this historic discovery.”
His voice was full of excitement.
Not only did he see the possibility of a mathematical solution for the Yang-Mills equations, but he also saw the possibility of connecting the electromagnetic force with the strong interaction.
If Lu Zhou was correct, this day would go down in history.
Wiles was sitting next to him, and he looked interested.
Even though he didn’t really care about what the physics world thought about this, he was still interested in the mathematical proposition itself. After he heard Witten’s words, he immediately nodded.
“I agree, every great discovery has to be taken seriously. If we can’t verify the answer, this would be a huge loss for both Professor Lu and us… Just like Fermat’s last theorem. Also, speaking of which, doesn’t Princeton have a supercomputer? Why don’t we just use yours?”
Professor Deligne nodded.
“I’ll contact them.”
Academician w.a.n.g s.h.i.+cheng was sitting on the other side of the venue, and he took out his phone and took a photo of the blackboard. He then sent it to the Yan University’s mathematics department’s group chat. The people in this group were all top mathematics scholars from Yan University, leaders of China’s mathematics community.
After Academician w.a.n.g s.h.i.+cheng sent the photo, he called the dean of Yan University’s mathematics department.
“I sent the photo to the group chat, help me use a supercomputer to verify it.
“Yeah, it’s for the Yang-Mills equations.”
The guy that previously gloated was sitting next to Academician w.a.n.g s.h.i.+cheng. He gulped and quietly whispered, “Did he really solve it?”
w.a.n.g s.h.i.+cheng said, “I don’t know, but there’s a high chance he did.”
The people in the venue were all muddled. The professors who were responsible for the logistics and the school leaders were overwhelmed by Lu Zhou’s impulsive movements. Dean Qin tried to chase after Lu Zhou but was stopped by Princ.i.p.al Xu.
“What are you doing?”
“What else could I be doing, I’m trying to get him back here. There’s still a Q&A session.” Dean Qin said with a look of worry, “What the h.e.l.l is this, we’re just going to stop the report halfway through?”
Princ.i.p.al Xu went silent for a while before saying, “We’ll talk about Lu Zhou later. Try to salvage the situation on stage.”
Dean Qin was stunned.
“What… do you want me to do on stage?”
Princ.i.p.al Xu said, “Just say something, thank them for coming, tell them that the report is over. Ask them to eat at the InterContinental Hotel… Do I really need to teach you everything?”
“Okay, okay! I’ll try,” Dean Qin said with a look of panic on his face.
On the other side of the venue.
Han Mengqi was absolutely dumbfounded. She snapped back to reality after Lu Zhou had already left the venue.
General solution?
What general solution?
Is this report over?
Lin Yuxiang, who was sitting next to her, was a lot calmer. Her eyes flashed like stars.
“Wow, Professor Lu is so handsome…”
Han Mengqi: “???”
Even though she didn’t disagree, what did that have to do with the situation at hand?
The grand auditorium was left in chaos because of Lu Zhou’s lines of equations.
Lu Zhou walked out of the old campus and was already in w.a.n.g Peng’s car. He headed toward Zhongshan International.
He opened the door and walked into his study room. He then sat in front of his computer and began to edit a new doc.u.ment by typing on his keyboard.
“The differential geometry method is applicable to the partial differential equations solution, but the method requires some adjustments… d.a.m.n, why didn’t I think about this half a month ago…”
As Lu Zhou muttered to himself, he became more and more excited.
Inspiration always came at unexpected times.
He finally connected all of the dots that he had been collecting.
“Just set U(3) to be a closed-line alignment in Banach s.p.a.ce X…
“That gives a general solution!”
As he stared at the lines of equations on his screen, his fingers were slightly trembling.
If mathematics were the language of G.o.ds, then at this moment, he was standing on a G.o.d’s shoulders.
He had never been so close to the objective truth before…
Was there anything else that could be more exciting for a scholar?
Probably not.