CHAPTER 429: CHAPTER 143 IF YOU CAN DO IT, YOU’LL CONTRIBUTE MORE THAN NEWTON!_5

In fact, this way can make the relationship between modal mappings appear more intuitive. Hmm, how to put it... Yes, it’s just like the role of the classical symmetry group in geometric transformations.

Speaking of graph theory, we can understand any modal space as a node, with the edges of the nodes directly representing modal mappings. Think about it, doesn’t this mean that the relationships between modal spaces can be represented through the connections of a graph?

In this way, we can directly visualize the conversion relationships of modal spaces, allowing us to understand the relationships within the same mode through the connection paths of the graph...

Qiao Yu became increasingly excited as he spoke, with some ideas that were not yet fully mature emerging like mushrooms after the rain.

That’s right, by introducing graph theory tools, the relationships between modal numbers are no longer just abstract symbol operations but interactions of nodes and edges in a graph structure.

If graph theory is combined with group theory, it could simplify the complex relationships of modal groups into multiple relatively independent components by analyzing the connected components of the modal space graph...

Without realizing it, Qiao Yu was already standing up, as if delivering an exhilarating speech.

Finally, he concluded, "Wow! Really, I suddenly feel like I’m a genius, how did I come up with such an impressive axiom system?!"

After saying this, Qiao Yu, who had been gesticulating grandly, seemed to realize he was in Director Tian’s office, and seeing the odd expressions of the two professors across from him, he smiled awkwardly.

He lowered his raised hand to scratch the back of his head, then sat back down in his seat obediently.

"Well..." Qiao Yu felt like he had said everything, then looked at Zhang Yuantang, waiting for him to continue speaking.

He still needed some advice.

After all, this framework was just a prototype, and if he really intended to establish this axiom system, there was a heap of work to do.

Indeed, this was definitely a vast systematic project! There’s a lot of proof work to be done.

In fact, every time a theory is integrated, there is a heap of proof work to do.

Space properties, the definition of modal numbers, the basic axioms of modal mapping, the rules and systems of modal operations, the geometric distance in modal space, topological characteristics...

These foundational axioms are just the content that needs to be proved in the first stage, representing only the rationality of this framework.

To gain acceptance and recognition of its practicality, there would be a second stage, a third stage... continuously expanding the entire theorem system.

However, before Zhang Yuantang spoke, the previously silent Tian Yanzhen suddenly said, "That’s right, Qiao Yu, you really are a genius!

Whew... Qiao Yu, if you can truly successfully construct this axiomatic system, your contribution to the development of modern mathematics will be no less than the contribution Isaac Newton made to the development of world science!"

Indeed, what Tian Yanzhen was referring to was science, not just pure mathematics.

But actually, the focus of Qiao Yu’s attention was not on what his mentor said, but on Tian Yanzhen’s expression at that moment.

Qiao Yu believed his mentor wouldn’t mind showing some genuine emotion in front of him.

However, he’s been at Yanbei University for half a year and has met Tian Yanzhen many times; Director Tian has shown undiluted joy and appreciation for his progress...

But to be honest, up until now, he really hadn’t seen such an excited expression from his mentor...

Even when meeting with Elder Yuan across the room, or when his paper made it to Ann.Math, Director Tian’s emotions were expressed very subtly, or just right.

But today was clearly different. He could see from Tian Yanzhen’s expression a sort of excitement that wanted to be suppressed but was not well restrained.

It felt as if he had already proven the Riemann Conjecture. Yes, Qiao Yu thought that even if he truly proved the Twin Prime Conjecture, it probably wouldn’t make Director Tian this excited.

Then Qiao Yu also noticed that Zhang Yuantang’s attitude was somewhat strange too.

The reactions of the two made Qiao Yu realize that he might have underestimated the axiom system or new mathematical framework he intended to construct.

At this moment, Zhang Yuantang also exhaled a long breath and said seriously, "That’s right, I also agree with Academician Tian’s opinion. However, Qiao Yu, this is definitely not a job you can complete alone.

Or rather, this is not a job you can complete alone within a short period, like ten or twenty years. Of course, this is not to question your ability.

Because the task involves a nearly massive proof process. What you should do is be responsible for building the big framework, and the specific detail proof work should be handed over to other team members."

After speaking, Zhang Yuantang glanced at Tian Yanzhen.

The fact was that he spoke very candidly, but people always have private thoughts. If possible, he hoped to bring a group of people to join this work.

But as it happens, Qiao Yu’s mentor is Tian Yanzhen, and he has also heard about Qiao Yu’s relationship with Yuan Zhengxin.

In other words, if Yanbei and Huaqing join forces to work on this framework, it would be enough to form a team to supplement the framework.

After all, if Qiao Yu is truly able to build the big framework, those detailed proof processes can be fully handled by an excellent doctoral student team related to the project.

Qiao Yu, or rather the leader of the research group, only needs to oversee the final check.

Zhang Yuantang believes that once this team’s topic is known, no mathematician who understands its significance can resist such a temptation.