After saying that, the other person actually hung up the phone.

Listening to the "beep" sound coming from the receiver of the mobile phone, Qiao Yu almost became angry...

The tutor is inviting people to a big dinner, and my mother is also inviting people to a big dinner, but no one cares about him.

Very good, Qiao Yu went straight out of the yard, swept the car, rushed to the cafeteria to have a quick meal, and then rushed back to his small study.

The reason why he wanted to go to dinner with Tian Yanzhen was of course not because he was missing the meal, but because today's discussion with Zhang Yuantang really gave him some inspiration.

Without taking him to dinner, I just want to summarize some of his thoughts first.

Turning on the computer, Qiao Yu quickly typed a title on the newly created document.

"Modal axiom system on multiple spaces."

After thinking about it carefully, I suddenly felt that this definition of multiple spaces was not very accurate, so Qiao Yu changed it to "the axiom system of generalized modal number theory on multiple transcendental spaces."

"One of the core issues in number theory is to understand the distribution and regularity of prime numbers. However, classical number theory methods still lack effective tools for some key conjectures. For example, the twin prime conjecture, Riemann's conjecture, etc.

In order to break through the difficulties in these conjectures, this paper proposes a new mathematical axiom system-the generalized modal number theory system, which provides a new method for exploring the modal structure in number theory."

Qiao Yu originally planned to write some acknowledgments here. He reminded himself that if the framework was successfully built, he would like to thank Professor Zhang, who had chatted with him for a long time.

But I thought I didn’t take him to dinner, so forget it, I won’t write it now. I’ll talk about it next time.

After thinking about it, Qiao Yu began to define his multiple transcendental spaces.

1. The definition of multiple transcendental spaces.

Definition 1.1: Modal space-multiple transcendental space is composed of countless modal spaces (α, β). Each modal space corresponds to a set of modal parameters (α, β). These parameters affect the properties of the numbers in this space.

Definition 1.2: The value range of modal parameters - the modal parameters (α, β) can take any value within the definition domain, which allows the modal space to continuously change in multiple transcendental spaces.

2. The existence of modal mapping.

In multiple transcendental spaces, define modal mappings

Represents the transfer of objects from modal space (α, β) to modal space (γ, δ).

Definition 2.1: Modal mapping properties - Modal mapping has nonlinear and irreversible characteristics, and its behavior can change with changes in modal parameters.

Definition 2.2: Invariance condition of modal mapping - If the modal mapping satisfies certain symmetry conditions, the modal object maintains its modal characteristics unchanged after transformation.

…

After writing these contents on the document, Qiao Yu stopped and started thinking.

Professor Zhang Yuantang's words today made him make up his mind.

"To study prime numbers, you do not necessarily have to study the prime numbers themselves first, but you can start with the structure of the numbers."

So he decided to simply extend the traditional numerical system to the framework of different modal spaces.

Directly allow different mathematical objects to have precisely defined modal structures and behaviors in the modal space, and build a generalized modal number theory system.

Then a series of number theory conjectures are transformed into problems in modal space.

Qiao Yu didn't know whether this big idea would succeed, but he planned to take advantage of Professor Zhang's two days in Yanbei to lay out the framework first, and then do some targeted discussions.

After all, Director Tian finally invited people here, and he had to make them feel that their visit was worthwhile.

At this moment, Zhang Yuantang, who had followed Tian Yanzhen to the restaurant, suddenly sneezed several times.

"Professor Zhang, please pay attention to your health. Are you too tired? Go to bed early tonight."

Tian Yanzhen said with concern next to him.

Completed the 10th day of November 10,000-word punch-in!
Chapter completed!