Chapter 424: Chapter 142: On the Generalized Modal Number Theory Axiomatic System in Multiple Transcendental Spaces_6
From a generational perspective, Qiao Xi is now Tian Yanzhen’s junior. Once Qiao Xi goes to Huaqing, she can bring this up in front of Elder Yuan...
It would be best if her grandmaster could mention to her own mentor that chasing students away when it’s time to eat is inappropriate.
Soon, Qiao Xi answered the phone, and to Qiao Yu’s surprise, it seemed quite lively on the other end.
"Mom, are you outside?"
"Yes, I’m treating your Uncle Xia and Aunt Liu’s family to dinner."
As soon as she finished speaking, Qiao Yu heard Keke’s voice: "Qiao Yu, have you eaten yet?"
In an unhappy mood, Qiao Yu directly replied, "Call me brother! Look at you... I haven’t eaten yet! You eat more and try to grow plumper..."
"Aunt Qiao, Qiao Yu is bullying me again..."
"Alright, Keke, stop messing around, let your Aunt Qiao answer the phone."
After Aunt Liu’s voice passed by, Qiao Xi’s voice came through again.
"Did Elder Yuan tell you that I’m going to Huaqing tomorrow?"
"Huh? You’re coming tomorrow?" Qiao Yu was a bit surprised to hear this.
Because last time, Elder Yuan said he planned for Qiao Xi to wait until mid-September to come.
"You didn’t know? Then why did you call?"
"Why are you coming tomorrow?"
"I really can’t stay at home any longer," Qiao Xi briefly explained, but Qiao Yu understood instantly.
Some people are naturally suited to life under the spotlight, and Qiao Xi probably used to be one of them.
But anyone would instinctively resist too much attention after being pointed at for years.
Especially when those paying attention now heavily overlap with those who used to criticize her.
This requires not only time to heal but also a process of rebuilding confidence.
"That’s great! But I don’t know if I can find time to pick you up tomorrow, since Director Tian specifically invited a professor to give a lecture, also tomorrow."
"No need for you to pick me up, Elder Yuan said everything’s already been arranged. Quickly, what did you call for?"
"Ah, Director Tian has been talking with Professor Zhang, who will be lecturing tomorrow, and then he took Professor Zhang to dinner and left me out. When you get here tomorrow, help me mention to Elder Yuan to find an opportunity to criticize Director Tian."
"Okay, got it. Feeling itchy, huh? Wait till I get to Beijing tomorrow, I’ll definitely beat you up in the evening. Nothing else? I’m hanging up."
After saying that, the other side indeed hung up.
Listening to the "beep beep" sound coming from the phone, Qiao Yu almost laughed out of exasperation...
The mentor is treating someone to a lavish meal; mom is also treating people to a fancy meal; he alone is left out.
Very well, Qiao Yu directly left the yard, grabbed a bike, rushed to the cafeteria to devour a meal, and then dashed back to his little study room.
Wanting to join Tian Yan for the meal wasn’t because of the food but because today’s discussion with Zhang Yuantang truly gave him some inspiration.
Not taking him to the dinner was fine; he could first summarize some of his ideas.
He opened the computer and quickly typed the title on a new document.
"The Modal Axiomatic System on Multi-Dimensional Spaces."
After thinking it over, he suddenly felt that the definition of multi-dimensional space might not be very precise, so Qiao Yu revised it to "The Generalized Modal Number Theory Axiomatic System on Transcendental Spaces."
"One of the core issues of number theory is understanding the distribution and regularity of prime numbers. However, traditional number theory methods still lack effective tools for some key conjectures, such as the Twin Prime Conjecture, the Riemann Conjecture, etc.
To break through these conjecture challenges, this paper proposes a brand-new mathematical axiomatic system - the Generalized Modal Number Theory System, providing a new approach to exploring modal structures in number theory."
Qiao Yu originally intended to write some acknowledgements here, reminding himself that if this framework was successfully built, he’d thank Professor Zhang for talking with him for so long.
But then he thought about not being taken to dinner, so he decided to skip it for now. He’d mention it next time.
After thinking for a bit, Qiao Yu started defining his Transcendental Space.
1. Definition of Transcendental Space.
Definition 1.1: Modal Space - Transcendental Space consists of countless modal spaces (α, β), each corresponding to a set of modal parameters (α, β), which influence the properties of numbers in that space.
Definition 1.2: Domain of Modal Parameters - Modal parameters (α, β) can take any value within the domain, allowing the modal space to continuously change within the Transcendental Space.
2. Existence of Modal Mapping.
In Transcendental Space, define a modal mapping
to indicate transferring objects from modal space (α, β) to modal space (γ, δ).
Definition 2.1: Properties of Modal Mapping - Modal mapping is nonlinear and irreversible, and its behavior can change with the variation of modal parameters.
Definition 2.2: Invariance conditions of Modal Mapping - If the modal mapping satisfies a certain symmetry condition, modal objects maintain their modal characteristics after the transfer.
...
After writing these contents on the document, Qiao Yu stopped to think.
Today, a sentence from Professor Zhang Yuantang made his decision firm.
"To study prime numbers, you don’t necessarily need to study the primes themselves first, but can start from the structure of numbers."
So he decided to simply expand the traditional numerical system to the framework of different modal spaces.
Letting different mathematical objects have precisely defined modal structures and behaviors within the modal space to build a Generalized Modal Number Theory System.
Then turning a series of number theory conjectures into problems within modal spaces.
This is a big idea, whether it can succeed, Qiao Yu doesn’t know, but he plans to take advantage of Professor Zhang’s stay in Yanbei these two days to first build the framework and then conduct some targeted discussions.
After all, Director Tian went through great lengths to invite him over; he must make this visit worthwhile.
At this moment, Professor Zhang Yuantang, already at the restaurant with Tian Yanzhen, suddenly sneezed several times.
"Professor Zhang, take care of your health. Are you too tired? Get some rest early tonight."
Next to him, Tian Yanzhen said with concern.