Super God-Level Top Student

Chapter 191 Unconventional Mathematical Structures in Dreams



Chapter 191 Unconventional Mathematical Structures in Dreams

United States, Cambridge, Massachusetts, Clay Mathematics Institute.

Many people knew this institute because of the famous Millennium Prize Problems, yet many did not realize that the institute's history was actually quite short.

When the bounties for the seven Millennium Prize Problems were announced, the institute had been established for only two years.

However, since the institute was founded by Harvard mathematics professors with financial backing and Harvard's endorsement, it still wielded considerable influence in the academic community. It just couldn't compete with the Institute for Advanced Study in Princeton for the time being.

It was in the afternoon that Arthur Jeff from the Clay Institute learned that someone had solved the existence problem of the Yang-Mills Theory solutions.

Although the bounty was announced globally, it was natural for the Clay Institute's own researchers to conduct corresponding research on the problems they had posed.

Arthur Jeff was one of the mathematicians who had been researching Yang-Mills Theory.

If it were indeed as Li Jian Gao had said, if Qiao Ze had proven the mass gap problem such that only about twenty people in the world could understand it immediately, then Arthur Jeff would certainly be one of those twenty.

So when he learned that someone had proved the existence of solutions to the Yang-Mills Equations, and even received unanimous approval from the reviewers sought out by "Mathematics Annual," the mathematician was astonished, and his first emotion was annoyance.

"Professor Dugan, is it true? Has someone really solved the existence of solutions to the Yang-Mills Equations?"

"Although you might not be pleased, it is indeed true."

"Then I'm curious, why wasn't I one of the reviewers?"

"Hmm... have you received a Fields Medal? Or an Abel Prize?"

"Lotte!"

"Haha, alright, Arthur, just a joke. I simply thought you weren't interested.... But, all things considered, the five paper reviewers are indeed Fields Medalists and Abel Prize winners. I even excluded myself, you know, I'm at least involved in PDE research. But you shouldn't feel inferior, the paper will be published on the official website in at most another two, or maybe just half an hour."

"..."

"Alright, alright, another call is coming in, see, I'm too busy today! So sorry, but I need to hang up!"

But thinking that Qiao Ze might be sleeping right now made him feel frustrated. He really wanted to have a chat with Qiao Ze as soon as possible!

...

At that moment, Qiao Ze was indeed asleep.

But his sleep was not peaceful; he was immersed in a vivid dream.

In the dream, he was facing a complex, massive geometrical structure that from afar looked like a spiral, but upon closer inspection, one would find that each arc was made up of multiple lines. Countless curves combined in a seemingly disordered yet specifically regimented way to form a complete structure.

What Qiao Ze was doing in his dream was observing this structure from different angles and conjuring up the equations formed by these individual lines in his mind.

"Achoo!"

The sudden sound of a sneeze woke Qiao Ze from his dream.

He glanced over and saw it was starting to dawn outside; Chen Yiwen was climbing down from the upper bunk.

"Sorry, I think my rhinitis is acting up..." Climbing down, Chen Yiwen specifically looked at Qiao Ze and saw he had opened his eyes. He quickly apologized.

However, Qiao Ze did not respond.

His eyes, staring intensely at him, gleamed in a way that made Chen Yiwen feel a chill in his heart.

"Uh..." Just as Chen Yiwen was about to say something, he was suddenly interrupted by Qiao Ze.

"[ D_\\mu F^{\\mu\\nu} plus \\alpha \\nabla_\\mu(\\beta F^{\\mu\\nu}) equals j^\\nu ]"

"What does that mean?" Chen Yiwen scratched his head, bewildered by the statement full of technical jargon. His heart raced; could it be? He hadn't scared Qiao Ze crazy with a sneeze, had he?

No, Qiao Ze couldn't possibly be that faint-hearted!

So what exactly was the problem?

"Among them, (D_\\mu) is the superspiral gauge covariant derivative, (F^{\\mu\\nu}) is the superspiral field strength tensor of the gauge field, (j^\\nu) is the source term of the gauge field, and (\\alpha) and (\\beta) are the curvature parameters for each line composing the result."


Tip: You can use left, right, A and D keyboard keys to browse between chapters.