What should a genius look like?!

If this question were to anyone at the Xilin Institute of Mathematics other than Qiao Ze, they would probably invariably reach out and point upward.

This is especially true for the newly joined research assistants of the Institute of Mathematics.

The first thing this group of people did when they entered the Institute of Mathematics was actually similar to Qiaoban, which was also learning.

As written in the Doudou job posting, their job is to conduct basic and applied research on special algebraic systems such as Joe algebraic geometry, as well as the corresponding Joe space. While improving the discipline, it can also be applied to more fields.

For example, basic physics, three aviation fields, engineering construction, software design, etc......

It's like the Taylor formula, but it's not just math majors that need to be learned.

In civil engineering, Taylor's formula can be used for structural analysis, especially to evaluate the response of a structure under different loads.

In electronic and mechanical engineering, the design of control systems also often makes use of Taylor's formula to approximate the dynamic behavior of the system. Just like when designing an airplane's autopilot system, or any mechanical system that requires precise dynamic reactions, Taylor's Formula helps engineers understand and predict how the system will react with different inputs.

Others include thermodynamics and fluid mechanics, electronic circuit analysis, mechanical engineering and dynamics, acoustic and vibration analysis, as well as numerical simulations and optimizations for almost all engineering applications, all with the involvement of Taylor's formulas.

In the same way, since Joe's algebraic geometry can replace Taylor's formula for more precise expansion, it is natural that a series of theorems and formulas contained in it can also play a huge role in these engineering applications, such as the same thing can save a lot of computing power.

Due to the abstract and complex nature of Joe's algebraic geometry itself, it is difficult for ordinary people to understand, but it can be directly written into software and applied directly in the computer. That's what new researchers are going to do in the future.

Those who have the talent for research theory can take the direction of pure mathematics and carry out extended research on the entire Joe's algebraic geometry system; If the talent is not so high, you can do applied research. Of course, Qiao Ze can do this work himself, but that can take a long time.

If you change to another mathematician, you can be very proud to be able to complete Joe's algebraic geometry in your life, but this obviously does not include Joeze.

The reason is also very simple, after a long period of thinking, he has been able to determine that Joe's algebraic geometry is not enough to solve the problem of grand unification.

Although Joe's algebraic geometry has a multi-dimensional data structure, it is better at solving the problem of grand unification than all existing mathematical tools, and can handle the performance of the four fundamental forces at different scales and energy levels simultaneously.

Joser even used the theorem in Joew's algebraic geometry to predict the existence of gravitons, and it has been proven.

However, Joe's algebraic geometry still fails to fully describe many problems at the microscopic level when dealing with nonlinear dynamical systems, especially phenomena beyond the Standard Model.

For example, Joszer encountered difficulties in dealing with nonlocality in superstring theory, which proposes that strings are not zero-dimensional points, but one-dimensional objects with finite lengths, which leads to physical phenomena exhibiting nonlocality at the microscopic scale, which cannot be accurately dealt with by Joew's algebraic geometry tools.

For example, according to the data obtained by Doudou, there are many nonlinear dynamic behaviors of particles under extreme conditions in CERN's high-energy particle collision experiments, which are difficult to fully describe in the framework of Joean algebraic geometry, especially when considering the generation of new particles and unknown interactions.

Fortunately, the wedding dress that Xiao Su tried on gave Qiao Ze inspiration, that is, superposition and interaction.

Superposition is actually easy to understand, because the principle of superposition is one of the core features of quantum mechanics. The box that holds Schrödinger's cat is in a superimposed state before it is opened, that is, there are many possible states.

Mathematically, it is a new structure that aims to be able to process solutions of multiple different theories at the same time and explore their superpositional effects.

As for interaction, Josser's mathematical definition is "interweaving."

It is defined as a deep connection and interaction between different mathematical models, theories, or systems of equations, which allows the properties and behaviors of individual models to interact, transform, and merge within a unified framework.

And this interaction includes not only the interaction at the level of mathematical operations, such as the simultaneous or transformation of equations, but also the interaction at the theoretical level, that is, how to describe and understand the basic structures and interactions of the physical world through a new mathematical language.

The two new tools are probably more complex and abstract than Joe's algebraic geometry.

From the perspective of abstraction and complexity alone, if the principle of mathematical interweaving that Qiao Ze is thinking about is listed as a compulsory mathematics course in the future university, then concepts such as the interaction between objects and morphisms in category theory, or the continuous mapping of elements in different topological spaces, etc., are probably what need to be learned in junior high school.

As for Joe's algebraic geometry, at best, it is high school math knowledge.

Yes, it's all the basics.

This is probably the imagination of genius.

At least Qiao Ze has gone through the road of simplification to complexity.

……

Outside Edward Witten's office at the Institute for Advanced Study in Princeton, USA, Lott Dugan is sorting out his umbrella.

Autumn in Princeton is the rainy season, and unless there are special circumstances, the editor-in-chief of the Annals of Mathematics and the dean of the School of Mathematics would not normally go out on a rainy day like today. Staying in a warm office and reading a paper is the ultimate enjoyment.

But Edward Witten is a special case.

Although he didn't really like the Fields Medal-winning physicist, his status was worth the occasional bout. Not only because of the awards, but also because the review of the Annals of Mathematics often required trouble for Edward Witten.

Especially in the field of mathematics and physics, this is a well-deserved master.

"Bang Bang Bang" politely knocked on the door three times, and didn't bother to wait for the response from inside, Lott Dugan pushed the door directly and walked in, he was polite enough.

However, when I walked into the office, I saw Edward Witten at his desk looking at the paper intently, and I couldn't help but feel a little angry.

"Edward, you'd better really have something important. Any idea how heavy the rain is outside today? This kind of weather makes summoning a gentleman who is almost sixty years old not something a big man like you should do. ”

The tone was a little resentful, but the other party replied without raising his head: "You should feel honored that I would think of calling you, in fact...... Forget it, don't talk about it, you know? José is a genius, a real genius! ”

Lott Dugan was stunned, then glared at Edward Witten, and said angrily: "So you called me here to say this nonsense?" I really don't know what kind of person can be considered a genius if none of the people who can solve the Yang-Mills conjecture before the age of twenty are geniuses. Or are you going to redefine what genius is? ”

On a rainy day, I was called to the office by an old guy, and the first sentence was nonsense, which was really annoying.

Not to mention that José was discovered first by his Lotter Dugan.

He had known a year and a half ago that Qiao Ze was an out-and-out genius, and he had been very sure of this since the time he tried his best to get Qiao Ze's article on the cover.

Edward Witten finally raised his head, looked at Lott Dugan, calmed down for a moment and then suddenly smiled, and then said with a straight face: "Okay, Lot, I admit that I made a mistake, in fact, I want to say that Qiao Ze is a theoretical mathematician and theoretical physicist who has surpassed Newton, surpassed any theoretical mathematician and theoretical physicist in history you can name, and the greatest genius in the history of mankind!" ”

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This time it was indeed the tone of a scientist, and there were a lot of definite sentences, which made people clearly understand the meaning and feelings that this sentence was intended to express, and it also successfully made Lott Duggan feel that he might have come to the right place this time.

He knew Edward Witten's life well, and he was definitely a brilliant figure, and many people didn't even know that the Fields Medal-winning mathematical physicist majored in history in college, and he originally planned his life to be in politics, and even worked for a short time in the presidential campaign.

Later, I found that I was not suitable for playing politics, so I started to study physics for graduate school.

When Lott Dugan was still young, the halfway monk physicist took action, splitting into several string theories that were based on different mathematical models at that time, and integrating them into several string theories that were not recognized by each other, easily unifying the rivers and lakes, creating M theory, and winning a Fields Medal.

If anyone has watched the American drama "The Big Bang Theory", they will know that Xie Er emphasized that he was studying M theory rather than string theory, which is precisely the reason.

In view of Edward Witten's achievements, many in academic circles directly refer to this big man as a contemporary Newton.

At this moment, the contemporary Newton is clearly out of shape.

"Okay......" Lott Dugan sat down across from Edward Witten, held out a hand, and said, "Show me the paper." ”

"What paper?" Edward Witten subconsciously replied, then reacted, and said with a smile: "There is no paper, but Qiao Ze recently discussed a problem with me, let's take a look." ”

With that, Edward Witten handed the letter that had been printed out to Lott Dugan.

"Professor Witten: Hello. In my recent research, I have developed a new idea and proposed a new mathematical framework based on supercoil algebra and transcendental geometry, called Mathematical Interactivity and Interweaving, which aims to describe and deal with high-dimensional and nonlinear interactions in physical theory. The specific ideas are as follows:......

Based on the above logic, this framework integrates mathematical models of multiple different theories, allowing them to interact in a unified structure. I think this approach may be of great significance for the study of the unity of quantum physics and relativity.

Considering the research on quantum gravity at the Institute for Advanced Study in Princeton, I hope to have an in-depth discussion with you about whether interactivity and interweaving can completely solve the problem of space-time quantization and background independence, which is one of the core problems that unified theory tries to solve.

If anyone is interested in the Institute for Advanced Study in Princeton, welcome to Xilin to participate in this research, my knowledge of quantum physics is lacking, and I hope to have a more in-depth exchange with you.

José. ”

If you don't look at the specifics of the so-called interactivity and interweaving, this letter is actually very short.

In line with Josser's style.

Yes, Lott Dugan only glanced at the descriptions of these two mathematical properties and skipped the long part.

Scold......

Something completely new again. There were even symbols that he had never seen before, such as , ⊙......

Of course, there are symbols that he has seen before, but they clearly have different meanings here, for example: in the tensor product, here it represents interweaving. Because the two sentences he swept had an explanation for this symbol.

Lott Dugan raised his head and looked at Edward Witten, his eyes met, and Lott Dugan suddenly felt a little sad.

At his age, he should be able to enjoy it......

Why bother looking at this brand new thing?

But think of Edward Witten older than him......

"You're done?"

"No, I don't understand." Lott Dugan said calmly.

This is a new mathematical theory that is extended on the basis of Joe's algebraic geometry, and he has not even fully understood the basics, and it is normal that he cannot understand them.

"Well, after all, what you're studying has nothing to do with these things. But it's a shame, it could be a bolt of lightning that splits the darkness! ”

Edward Witten nodded clearly, and then said, "I called you here because I have a hunch that Qiao Ze has touched the threshold of solving the problem of great unification. It is not only the great unity of mathematics, but the great unity of mathematical physics, the great unity of micro and macro. ”

"Hmmm......"

"So I'm going to go to Huaxia. Of course, this time I will still go in the name of attending an academic conference, nominally for a short time, but it will probably be for a long time, and given my age, I don't know if I will come back. ”

Lott Dugan opened his mouth, but didn't speak.

It took courage to make a decision, but he could understand it when you thought about it.

Is there anything more exciting for a pure scientist than to be involved in a unified academic study?

At least at this stage, it's probably not really.

This is the lifelong wish of many people, and they even heard that they could die at night.

Really, if he has this opportunity to participate, especially after seeing the hope of success, there is a high probability that he will choose to participate.

He even had some envy of Edward Witten.

If with Qiao Ze's previous research speed, this guy really participated in the research of the Great Unification, should he still be able to win both the Nobel Prize and the Qiao Ze Natural Science Prize before he dies, right?

You must know that after the establishment of the Qiao Ze Natural Science Award, Qiao Ze has already said that he will not participate in the evaluation of the award, so if the great unification is really achieved, Edward Witten may become the first top academic in the world to win the Fields Medal, the Nobel Prize and the Qiao Ze Award at the same time.

Although the Nobel Prize is now beginning to decline, the influence is still there after all, and no one doubts that the Qiao Ze Prize will replace the Nobel Prize as the world's largest science prize in the future, so this guy obviously wants to get the past and future glory in his hands at the same time, right?!

Yes, at this moment, Lott Dugan was sour and even a little self-pitying.

Sure enough, the man is afraid of entering the wrong line......

So after a long silence, he asked, "Has it been decided?" ”

"That's right! The only person I can trust here is you, so you have to cooperate with me. ”

"Huh...... Ask me! Hurry up, beg me! ”

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