Peter Schultz watched the villain who was so energetic.
Qiao Yu picked up a pen after making a finger.
I still read in my mouth: "You can understand the latest extension of the broad -modal axiom system.
Keep the framework of self -consistent. "
Peter Schultz frowned and asked: "But in quantum mechanics, the description of the superposition and entanglement depends on the framework of linear algebra. How can you bypass this?"
Qiao Yu drew a curve on the manuscript, and then showed it to Peter Schultz.
"Do you see this curve? This is a simple modal path in the space, but I think of it as a mapping relationship from the initial state of quantum to the end, rather than a group of superimposed base states.
Each point of this path can describe the probability distribution of quantum state through the modular density function, and the overall topology characteristics of the flow will naturally integrate the effect of superimposed and entanglement. "
Peter Schultz gave a glance at Qiao Yu, and the brain was thinking about it quickly.
He was shocked by Qiao Yu's ambitions. At the same time, he was thinking about the feasibility of seeing this idea.
Although Qiao Yu said simple, it is obvious that there are a lot of problems to do this.
The simplest, can the mapping of the modal path and the physical evolution of quantum state be strictly corresponding?
The so -called quantum uncertainty principle, reflects the mathematical curve described in the quantum state, represents the high dimension.
After all, the explanation of mathematics and physical dimension is actually completely different. Physical one -dimensional, two -dimensional, three -dimensional refers to the change of space, but the high -dimensional of mathematics represents the dimension of the function space or variable of the function.
In simple terms, mathematical dimensions are the increase in various variables.
To describe a quantum system, you need to introduce more degrees of freedom.
A system requires multiple independent variables, including location, momentum, energy, speed, etc. These variables jointly define a high -dimensional state space. This space is not related to physical space.
Although the high dimension of physics can be converted into a variable dimension of mathematics by proper mapping relationship, the high -dimensional topology structure can describe the complexity of the quantum state, but it is necessary to point out the specific mapping method.
Just think about it, Peter Schultz knows that the problem of this system must have a tons. It is no wonder that this guy always said that he has been busy, and he has no time to ignore him.
So Peter Schultz spread his hand and said, "Qiao Yu, I probably understand your thoughts!
I admit that your idea is very advanced. It is really meaningful! But this is not a job that can be done in the short term.
Of course, I do not require you to focus all your energy on our cooperation. But you should be reasonably assigned time. Well, maybe we can cooperate in both directions.
Maybe after a few years, our hard -working projects can make results at the same time. Your Qiao Metro Models quantum space, my condensate mathematics, do you think right? "
After listening to this complaint, Qiao Yu looked confused to Peter Schultz, saying, "Peter, what a few years do you say? What are you joking?
? Is your time so worthless? "
Peter Schultz looked at Qiao Yu in the wrong way, and did not respond for a while.
Don't have this idea for several years to achieve results. Is it enough for a few months?
"What do you mean?" Peter Schultz asked.
"I'm busy recently because when I want to make a report on the 16th, I have improved my model space."
Qiao Yu really said.
Peter Schultz swallowed his mouth subconsciously. Seeing Qiao Yu seemed to be joking.
So frowned, pointing at the curve that Qiao Yu just drawn just now, and asked, "Let's talk about this curve first, you just said that it is a mapping relationship from the initial state of quantum to the end.
It also includes quantum superposition entanglement. So how do you do this. Or, the principle of uncertainty is the essence of the probability distribution characteristics of quantum state. How do you embed these into the curve description?
If you want to build this space in a short time, this question should already have an answer,
Is it right?"
Qiao Yu nodded and said, "You wait.
After speaking, start playing with the computer.
Although it is only a office, all kinds of modern facilities are all available, including a small projector.
Soon the curtain on the opposite side slowly fell, and Qiao Yu also projected this part of his document on the computer directly on the large screen.
Peter Schultz turned his head to look at the content on the curtain, and the brain began to operate overload.
Well, modeling through the modular density function PM (P) to indicate the probability distribution caused by the uncertainty of the quantum state.
In this way, each point P has a function on each point on the modal path to describe the probability. Then through the weight function, the connection intensity between different points is defined.
Silent verification.
After watching it for more than ten minutes, I said, "How to distinguish between the superposition of the path and the entanglement?"
Qiao Yu quickly brought out another part of the argument.
This time, Peter Schultz watched it longer.
"Okay, let's assume that the modal path you designed can accurately describe the evolution of a single quantum state in this space. But a quantum field is composed of countless quantum states. How can a single modal path be promoted to the state distribution in the field theory?"
"I considered two methods, and finally chose the method of space superposition. The structure of high -dimensional overlapping is directly constructed."
In this morning, in the show, at 12 o'clock, Peter Schultz was hungry and didn't know Qiao Yu, but he was really hungry.
There is no way, young people are not as good as these old men who are hungry.
So after watching a technical point, Peter Schultz continued to ask questions, and then said, "It's all over twelve o'clock, it's better to go to eat first."
"Ah? Is it twelve o'clock? It's so fast?" Peter Schultz, who had come back, was a little surprised, and asked if he lost his soul.
Qiao Yu nodded, and then pointed to the clock he looked at behind him.
Peter Schultz glanced at it, and it really had five cents at twelve.
"Someone had an appointment at noon." Peter Schultz suddenly thought of it, and then took out his phone, and he had several unsolved calls.
When I came, I was thinking about only a few problems he had encountered with Qiao Yu, and by the way, I asked Qiao Yu. Thinking about it, I would like to adjust the phone into mute.
It is not necessary to disturb the two discussions.
Who thought of being held by Qiao Yu's nose as soon as he came, and then it was obvious that he completely forgot the time.
"Forget it, wait for me to call back, I still don't go. Maybe we can eat together at noon. I have some questions about the quantum space of your metaphors.
,,
"It is the space of the metaphor. In fact, it can not only describe the quantum state, but there are many other uses at other levels."
Qiao Yu corrects Peter Schultz.
Peter Schultz shrugged, and did not express his opinions on Qiao Yu. He stood up directly to find a place to call back. Qiao Yu found the student card from the bag.
Seeking to dinner is naturally going to the side of the next. Not only is it close, but the grade is also high, but it can also swipe the card. The most important thing is that now there is no need to help him to support him, and he can also brush his face.
Then Qiao Yu found that he was lost.
Although he can really brush his face, the Institute of A is particularly lively today.
Especially when the two young Phils prize winners came together, they did not surprise many attention.
It is almost impossible to be unable to survive in society. In this case, it is almost impossible to be completely quiet and not disturbed. Someone will always find a few words.
Fortunately, everyone is a highly educated person. When you see that the two have something to say, they are very decent and left.
Even so, the two could not communicate as if they were in the office. Not everyone could get used to the interruption of thinking.
However, although this meal, although Qiao Yu did not say that Peter Schultz still keenly learned about the current trouble and had a strong interest.
Naturally, Peter Schultz was hardly controlled and pushed away the afternoon. He honestly followed Qiao Yu back to Qiu Zhai.
In the afternoon, Yuan Lao was also there. Qiao Yu took Peter Schultz to greeted Yuan Lao's office first, and then returned to his office with the urging of Peter Schultz.
Peter Schultz couldn't wait to give his judgment after thinking.
"Your thoughts are very good, but the local-global unity problem is difficult to solve. After rising to the overall situation, the ultra-high-dimensional structure cannot ensure the uniqueness of the modal path every time!"
Qiao Yu appreciated Peter Schultz. To be honest, this gaze made Peter Schultz not adapt to it.
No one looked at him with such eyes for a long time. Last time someone looked at him with this look, or when he graduated from Bo Tu.
As for Qiao Yu, it is obviously not suffering from these. He just felt that such academic issues were easy to discuss such academic issues with smart people online. Just need to guide him a little, and he can quickly grasp the key points.
This is much more comfortable than talking to those guys in the calculation institute.
But Qiao Yu didn't say that when he spoke.
"This is indeed a trouble, but I already have a solution, and there are more than one. In fact, this problem is not difficult.
You can use the topology constraints of the modular path to reduce the possibility of the path, or each time you can consistency to correct the introduction path. Both methods can solve this problem. "
To put it bluntly, Qiao Yushun took out the solution that had been thought about before.
Although he is not satisfied with these two solutions, he must not be weak in momentum.
Peter Schultz must not be allowed to think of this problem for the time being, so I still want to talk to him and see if there is any inspiration.
Sorry, before you get this problem, you can't let these foreigners taste a little bit of sweetness, even if it is spiritual pleasure.
After all, for a mathematician like Peter Schultz who is not very short of money, the spiritual gain is often more happy than material gains.
Peter Schultz began to enter the state of thinking again. Qiao Yu lifted the water that was placed at hand, and began to think.
There is no way to solve this problem.
After a long time, I didn't know how long the office had been quiet, Peter Schultz frowned and said: "These two methods are too large to calculate! I don't think it is suitable."
Qiao Yu immediately retrieved: "But can be simulated accurately."
"No, no, no, the principle of uncertainty determines that the quantum world does not need to be so precise.
I personally think you should use this uncertainty, not always thinking about how to eliminate it. "
Peter Schultz's voice interrupted Qiao Yu's thinking.
Qiao Yufei quickly spent the meaning of Peter Schultz in his brain, and then said straightforwardly: "Actually, I have thought about your thinking carefully.
It is to find a law from the nature of high -dimensional mapping itself, so that the branch of the modal path has statistically controllable control. "
Peter Schultz thought about it and asked: "You mean the introduction of the optimal path selection mechanism from the perspective of probability? For example, constructing a path right weight function, the unified way to make the path and distribution probability from the global situation?"
That's right! "Qiao Yu nodded with certainty, and then began to lift up.
"The key to this is to let the system choose the optimal path itself instead of artificially imposed restraints. This must be determined from the basic weight constructor rules. My previous plan was to use the stability indicator of the path as the initial condition.
"
He never thought that this was the metaphor that he had just thought of it. He had already gone, at least his thinking was not so fast.
In fact, Peter Schultz is still amazed by Yu Qiao Yu's efficiency in learning.
He couldn't understand how Qiao Yu did it. Mathematicians occasionally flashed, and then solved a worldwide problem.
Can people have no bottlenecks? You know Qiao Yu, but it has just resolved Riemann's conjecture not long ago.
Everyone thinks that when he will continue to cultivate this piece, he has another space for the metaphorical mode-
Peter Schultz believes that he is also a genius. In fact, most people in the world think so, but today Qiao Yu gave him a solid lesson, only to make him feel that life is quite tasteless.
It is no exaggeration to say that his condensed mathematical projects are too lazy to continue. It always feels that the future use is not as good as Qiao Yu's general model.
It is not exaggerated to say that the system that continues to expand this way can replace his condensed mathematics.
After all, his ultimate self -proclaim is also to provide simpler tools in studying the theory of algebraic geometry, algebra top topology and high -dimensional categories, and verify the complex theorem.
Chapter completed!