Sitting on the sofa, Xu Chuan was also reminded of Perelman's words.

The micro-element construction method, which is a tool to solve the problem of the century of the NS equation, is a completely new 'discipline', as long as it is carried forward.

Of course, for Xu Chuan, what he misses more is the inspiration, or state, that was triggered when he created this tool.

That wonderful feeling, even though it has been four or five years, still makes him nostalgic.

In the following time, he thought of many ways, but no matter what he did, he was never able to go back.

The closest thing is to study the topological state of matter in strongly correlated electronic systems.

That study provides sound theoretical support for how quantum computers manipulate qubits and store information, but it is still far inferior to the state in which the NS equation was studied.

Coming back to his senses from his memories, Xu Chuan met Perelman's brown-green eyes, smiled and said, "That was the inspiration I got in class, and its acquisition is actually more in the direction of physics." ”

Seeing that he began to tell the 'story', several scholars in the small living room cast their eyes over, feeling these sights, Xu Chuan continued with a smile:

"For the mathematical community, the NS equation is often used as a typical example of studying nonlinear partial differential equations, and the method of mathematical analysis is the harvest in the process of solving it, and we tend to pay more attention to this. Of course, whether the singularity on the vortex really exists is also the answer sought. ”

However, for the physics community, the existence or absence of a solution to the NS equation is the core of describing the motion behavior of fluids. That is, the fluid mass point depicted by the NS equation is infinitesimal in space, but in fact infinitely large relative to the molecule. ”

"The core of solving this point is whether the divergent behavior of the fluid will eventually return to calm, and starting from the smallest microflow, introducing it into the mathematical set concept to obtain the most core emitting microflow unit, and then topology and construction of it, its existence can be mathematically constructed."

Listening to Xu Chuan's words, Perelman fell into deep thought.

The answer he had never been able to seek, but when it came out of this person's mouth, it made him feel surprisingly 'simple'?

But soon he realized that it wasn't 'simple', it was just that he was looking at it from the perspective of the past.

In fact, to do this, I am afraid that it will take a great deal of mathematical and physical attainment, and only by thoroughly understanding the Navier-Stokes equations in both can it be possible to find a way to the other side from the narrow connection between the two.

Retracting his thoughts, Perelman took a sip of the cold water in the cup, looked at Xu Chuan, and said, "It turns out that it was born like this, thank you for explaining the confusion I have been having." ”

After a slight pause, he said with some confusion: "But compared to the perfection of that tool, I always feel that something seems to be missing in your story." ”

Hearing this, Xu Chuan smiled and said, "That was probably the most wonderful short time in my life. ”

After a brief reminiscence, he continued with some nostalgia: "I don't know if you have experienced it, but for me at the time, it was like falling into an 'epiphany' in the story. ”

"The ideas in my mind are like a trickle of water, and in that short period of time, mathematics is like my arm, and all the calculations are like the most tacit partners, following my footsteps as I like."

On the side, Tao Zhexuan frowned slightly, and immediately interjected: "Did you mean that you completed the 'micro element construction method' in class?" ”

Xu Chuan nodded and said, "Yes, that brief time brought the 'Micro Yuan Construction Method', although I tried countless times in the following time, I couldn't get into that state again. ”

After a pause, he added: "Although it is a little embarrassing to praise myself like this, as Perelman said, it is perfect like a gift of vanity." ””

Hearing this, Schultz didn't care about the praise behind him at all, he just said enviously: "It's really an enviable experience, I didn't expect there to be such a legendary story in the middle." ”

Although he didn't quite understand what Xu Chuan's 'epiphany' felt, he could understand it as a 'burst of inspiration'.

As a mathematician who is committed to achieving higher levels in mathematics, he is eager to have such an experience himself.

Not only Schultz, but also Tao Zhexuan, Curtis, and even Perelman in the crowd, there was a trace of envy in their eyes.

It sounds like a plot in the middle of the story, but it brings a wonderful tool to the entire mathematical community, and even a whole new discipline.

Retracting his gaze with a hint of imperceptible envy, Perelman spoke: "It was an enviable and amazing experience, though I prefer to think of it as the inspiration of your profound knowledge of mathematics and physics."

"But to get back to business, did you come here today with a math problem?"

For Perelman, the past is gone, the most enviable things are long gone, and all he hopes for and aspires to are the mathematical problems that have not yet been solved.

Compared with listening to these stories with a full 'legendary' nature, he hopes that Xu Chuan will come with mathematics.

Sitting opposite Perleman, Xu Chuan put down the water cup in his hand, nodded seriously, and said, "Of course." ”

As he spoke, he pulled out a portable-like notebook from the pocket of his jacket and handed it over.

"That's some of the things I'm thinking about in terms of topology and manifolds, and some of the questions, maybe you have a different perspective on them?"

For Xu Chuan, the purpose of taking some risks to go abroad to participate in the International Congress of Mathematicians is to be able to go further on the road of mathematics.

Wouldn't it be a waste of time to go around such a big circle to find this 'reclusive' Perelman if he didn't exchange some mathematical ideas?

When it comes to mathematics, he and Perelman are the same kind of people.

"I'll see"

Perelman reached out and took the notebook, quickly flipped through it, and glanced at the ideas and calculations on it.

"Spatiotemporal manifolds, dimensional spaces, normative groups, field theory. What exactly are you working on? ”

After briefly flipping through the ideas and calculations on the notebook, Perelman's eyes showed a hint of surprise and surprise.

The jumble of ideas and calculations in his portable notebook made it impossible for him to tell what the young man was trying to study, because there were so many things involved.

On the side, before Xu Chuan could answer, Tao Zhexuan said curiously: "Can I take a look?" ”

The words were directed towards Perelman, but his eyes were directed at Xu Chuan.

Although he was curious about what was written in the portable notebook, after all, this was an exchange between Xu Chuan and Perelman, so it was better to ask if the two of them minded.

Xu Chuan nodded and said, "If he doesn't mind, I don't have any problem." ”

Hearing this, Perelman handed the portable notebook in his hand to Tao Zhexuan, and then asked, "You haven't told me what you're researching?" ”

Xu Chuan smiled and said, "If you are asking about recent research, it should be to complete the unification of the three forces of strong and weak electricity mathematically." Of course, if the Yang-Mills quality gap proves correct, otherwise I would have tinkered with it in the near future. ”

"As for future research, the Riemann conjecture and the unification of algebra and geometry are a very good direction."

After a pause, he continued: "After all, I studied under old Mr. Grothendieck, and it is also my duty to do this job. ”

Hearing this, Perelman muttered: "But in your notebook, there is no research related to the Riemann conjecture." ”

Xu Chuan smiled and said, "Those are one of the purposes for me to come to you today. ”

"In topology, you should be the closest person to the truth, I would like to ask, in mathematics, in three-dimensional space, there is a one-way or two-way connected topological "tunnel"! ”

"Can topology allow for the existence of such a configuration in mathematical equations and quanta?"

PS: The second is to ask for a monthly pass.

(End of chapter)