Time passed quickly, and in the blink of an eye, forty-five minutes had passed.

On the podium, Xu Chuan began to wrap up the explanation of this report meeting.

“...... To sum up, all the methods mentioned above use the xu-weyl-berry theorem for splitting torsion, and can use different eigenvalues, boundary values, optical boundary information and other data to calculate the complete source parameters. ”

Xu Chuan's voice was clearly and affirmatively transmitted to the ears of everyone in the conference hall.

The sound is not loud, but it seems that the sound of truth surrounds the ears, which makes people intoxicated.

And that source is knowledge and wisdom.

"This is an extended application of the xu-weyl-berry theorem."

When the last sentence fell, some of the scholars in the audience stood up with a 'swish', and applause rang out between their hands.

Immediately, the others also quickly stood up, and the thunderous applause resounded in an instant, and it lasted for a long time in this wide and crowded venue.....

This is a lesson, a lesson in truth woven with knowledge and wisdom.

And they're all students.

......

On the stage, Xu Chuan completed the explanation of the extended application of the xu-weyl-berry theorem, and looked at the audience with a smile.

After scanning the figures in the room, his eyes landed on a figure in the front row.

Sal Polmatt stood there, smiling and glancing at Xu Chuan, his eyes passing approval.

Xu Chuan nodded with a smile and looked at the venue.

"The first half of the report on the extended application of the xu-weyl-berry theorem has been completed, and the following will be the question time, if you have any questions, please feel free to ask. If I knew, I would have answered. ”

As soon as the words fell, someone in the hall raised their hands.

Xu Chuan nodded, and the person who raised his hand stood up again and asked: "Professor Xu, in the context of application, each eigenvalue λi can be regarded as making some kind of measurement of the Ω, so figuratively speaking, the above isospectral problem refers to whether it is geometrically deduced that Ω1 and Ω2 can be completely overlapped if the data obtained for Ω1 and Ω2 are the same under all those (infinite) measurements?" ”

Xu Chuan nodded and said, "Before the xu-weyl-berry theorem appeared, the answer we got was generally negative.

"However, there are counter-examples, such as Milnor's construction of a pair of isospectral but non-isomorphic 16-dimensional toroids, which involves the intersection of analysis (the spectrum of elliptic operators), geometry and topology."

"Of course, the xu-weyl-berry theorem can be derived geometrically at the same time, and it is part of the xu-weyl-berry theorem."

"Thank you." The person who raised his hand to ask thanked him and sat down with some contemplation in his eyes.

On the podium, Xu Chuan continued to preside over the report meeting, and then answered some questions from others.

He spent forty-five minutes explaining the one-hour presentation, and the remaining fifteen minutes of questioning were not long, and they passed in the blink of an eye.

Near the end, Xu Chuan also breathed a sigh of relief and prepared to end this report meeting.

Suddenly, the audience raised their right hand.

Xu Chuan looked over and was a little surprised, and the one who raised his hand was Professor Brian Schmidt, who took the lead with a standing ovation, and like Saar Polmatt, he was also the winner of the Nobel Prize in Physics in 2011.

He was still a little curious about a Nobel laureate raising his hand, and he didn't know what the other party wanted to ask.

After the signal passed, Professor Brian Schmidt stood up and asked, "Professor Xu Chuan, can the extended application of the xu-weyl-berry theorem be further extended to the high latitude space?" ”

Hearing this, Xu Chuan frowned slightly, pondered for a while, and asked, "I don't know what you mean by this high-latitude space?" ”

"Cushman & Wakefield physically!" Professor Brian Schmidt said calmly.

Hearing this, the entire venue fell silent for a while, and then there was an uproar.

Everyone was talking about it, and the questions Professor Brian asked were amazing.

In the corner of the venue, in the team of NTU, Chen Zhengping couldn't help but sigh: "This idea is really crazy. ”

On the NTU side, he was the first to understand Professor Brian's thoughts, and I have to say, it's really crazy and whimsical.

On the side, Professor Zhou Hai's student Cai Peng asked curiously: "Professor, what does it mean to calculate Gao Wei?" Isn't the extended application of the xu-weyl-berry theorem itself a method for calculating information points? ”

For the xu-weyl-berry theorem, he still has some research.

During his graduate studies, his main focus was on boundary values and fractal drums, but he changed his field of study later.

Xu Chuan's weak Weyl-Berry conjecture and the proof paper of the Weyl-Berry conjecture have been read by him, and he also has some understanding of his own.

I thought I had a deep enough understanding of the xu-weyl-berry theorem, but when I came to listen to the report today, I found that I was still a lot behind, and many places that had not been dredged before, or were hazy, have ideas today.

It's just that he still can't keep up with the other party's rhythm.

In addition, I have little physical ability, and although I have a little idea about the idea proposed by Professor Brian, I can't fully understand it.

And, speaking from the heart, he couldn't believe it.

As Chen Zhengping said, this is crazy and shocking.

On the side, Zhou Hai smiled and said, "Don't you already have an idea in your heart?" ”

Hearing this, Cai Peng couldn't help but swallow his saliva.

If this can be done, it will be amazing.

In mathematics and physics, Cushman & Wakefield is not the same concept.

In mathematics (Euclidean geometry), dimensions are used to describe the position of a point.

All dimensions are equal as others. 4th dimension like hypercube. Purely geometric, there is no concept of time.

In science fiction, it is more mentioned in time travel. Low-dimensional to high-dimensional travel may also come from the concept of geometry.

But in reality, there is no such concept in mathematics.

However, it is different in physics, and there are different kinds of high latitudes in physics.

For example, in classical mechanics, time is not the fourth dimension of space, and time is used to describe physical changes.

Or, for example, in the special theories of relativity of Poincarat and Einstein, time is treated as a separate dimension.

The earth we live in today is a three-dimensional world with length, width and height, and if we add the dimension of time to this three-dimensional world, then it is four-dimensional.

The passage of time in the universe is a four-dimensional space, and if you can locate and calculate the dimension of time, you may be able to travel through the past and the future.

Of course, no one knows if it can be done.

But what is certain is that the question raised by Professor Brian Schmidt instantly detonated the audience again.

Everyone is discussing.

If the extended application of the xu-weyl-berry theorem can be applied to the calculation of high-latitude space, it may bring drastic changes to mankind.

Once again, Einstein's theory of relativity will be confirmed that high-latitude space does exist.

Can humanity find a way to explore and enter the high-latitude world?

If the fourth dimension is really time, is there a way to reverse time and create those time machines in science fiction movies?

Everyone was discussing, but no one could give an answer.

If there is an answer, I'm afraid only the young man on the stage can know.

Thinking and discussing, everyone in the room turned their eyes to the podium again.

.....

On the podium, Xu Chuan was also pondering.

It has to be said that Professor Brian Schmidt asked questions that he had never thought of before.

The mathematical dimension and the physical dimension are not a conceptual thing, and no matter how high the mathematical dimension is, it is just something made to describe a marked point.

But the physical dimension is completely different.

However, what should be done to use the extended application of the xu-weyl-berry theorem to calculate the high latitude space?

Four-dimensional, is it really time?

The Germanic physicist Bakhard Heim founded the eight-dimensional space in 1957.

It is divided into x-dimension (the length of the object), y-dimension (the width of the object), z-dimension (the height of the object), time dimension, gravity dimension, electromagnetic force dimension, gravitation dimension, and universal repulsion dimension.

This is relatively close to the multidimensional space we know today, and it can also be confirmed by experiments.

Later, his mentor Edward Witten Unified String Theory proposed some unverifiable space, but its limitations were obvious and could not be proven.

Even in later generations, he discovered gravitons, dark matter, and dark energy, but he never studied high-latitude space.

Because it's so far away from him, that it may be a thousand years before humans can access it.

For a while, Xu Chuan felt that his head was about to explode.

Coming back from his contemplation, he shook his head and let out a long sigh of relief, "I'm sorry, I can't give an answer to this question. ”

"However, at present, the extended application of the xu-weyl-berry theorem does not have this ability, and we cannot understand time and space, nor do we know whether four-dimensional space or higher-dimensional space really exists."

"Nowadays, we really know too little about the world or the space of high latitude. There are so few that even if there are speculations, there are no theories, and without information, they cannot be used as parameters such as boundary values and eigenvalues, let alone information in four-dimensional space. ”

Professor Brian Schmidt sighed and said, "Thank you." ”

After the advent of the extended application of the xu-weyl-berry theorem, a mathematical tool, he came up with the idea of something in this area.

But unfortunately, he has not fully mastered this tool, nor has he been able to go further on it, nor can he explore whether this tool can be used to calculate high-dimensional space, so he has put his hope to this day.

Pity.....

......

At the end of the one-hour presentation, the scholars in the venue gradually dispersed, but the sensation of the outside world had just begun.

The speed of news transmission is very fast, and it doesn't take long for today's report to spread throughout the mathematics, astronomy, and astrophysics circles, and it has a faint meaning of breaking the circle.

[Today's report will be really wonderful! 】

What exactly does Professor Brian Schmidt's final question mean?] I kind of don't get it. Computation of high-dimensional space? 】

[The xu-weyl-berry theorem, which may be used to calculate whether space in four-dimensional space really exists.] 】

[The kind of four-dimensional space in science fiction movies? 】

[Well, the high-dimensional space composed of length, width and height + time, if it can be calculated, may be able to enter, and may be able to travel to the past and the future. 】

[Oh my God! 】

[Impossible, right?] Can math calculate this? 】

[Mathematics can do it, that's for sure, all theories can be expressed in mathematics, but it shouldn't be possible now.] 】

[Hiss~, this is also terrible, if you can travel to the past or the future, isn't this a time machine? 】

......

At the academic forum, there were all kinds of discussions, not to mention Xu Chuan, who was still at the International Congress of Mathematicians, was once surrounded by various scholars and reporters who knew the news.

Mathematical tools for calculating high-dimensional space, mathematics for opening four-dimensional space, and time machines all involve everyone's hearts.

"Isn't that method really useful for calculating information in high-latitude space?" In the hotel, Chen Zhengping looked at Xu Chuan and asked, he was also a little expectant.

Xu Chuan shook his head and frowned: "Any calculation is based on the data that can be obtained, and we can't even obtain the data now, how can we calculate it?" ”

"The xu-weyl-berry theorem can calculate the parameter information of distant celestial bodies, because various astronomical equipment has really observed the various parameters of those celestial information, and the mathematical method is just a further recalculation and optimization of those parameters."

"In the high dimension, we know too little and too little, and those theoretical methods are always just theories, and there is no reliable real data. We don't have access to any other information except the flow of time. ”

"Math, that's not how it works."

Xu Chuan shook his head and replied, at first, he was also shocked by Professor Brian Schmidt's question.

But after thinking about it carefully, I knew that it was impossible to do.

At least not for the time being.

"Forget it, let's not talk about this. We don't understand this thing, and if there is any hope, it's either in you, or in the future in an unknown number of years. ”

Chen Zhengping shook his head, and continued, "How long are you going to stay in Princeton?" When are you going to return home? ”

Xu Chuan smiled: "Soon, after this International Congress of Mathematicians, I will go back." ”

He had never told anyone else what he wanted or when he would return home, but it didn't matter now.

After this international mathematical conference, he was not going to go back to Princeton, he was going to fly directly from Brazil to Europe, and then transfer back to China.

It's safer that way.

As for the materials and things in Princeton, they can be mailed back or brought back when the time comes, and if they are intercepted, then they are not needed.

Chen Zhengping was a little surprised and asked, "So fast?" ”

He originally thought that Xu Chuan would stay at Princeton for another year or two, after all, he was working with Fefferman on the NS equation, and he had made phased results, and there was a great hope that the NS equation could be solved in the future.

Xu Chuan nodded and said with a smile: "Don't delay, the people from the organization have already asked me to find me." ”

Chen Zhengping suddenly said with a smile: "Then do you want to come with us?" ”

Xu Chuan smiled: "Let's talk about it then, things on my side haven't been arranged yet." ”

......