Great Country Academician

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

On the podium, Xu Chuan began to conclude the content of the lecture.

".To sum up all the methods mentioned above, use the Xu-Weyl-Berry theorem to split and reverse, and can use different eigenvalues, boundary values, light boundary information and other data to completely calculate the original parameters."

Xu Chuan's voice was clearly and definitely heard by everyone in the venue.

The voice is not loud, but it seems that the voice of truth surrounds the ears, making 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 scholars in the audience stood up with a 'swish', and applause rang out between their hands.

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

This is a class, a class of truth woven with knowledge and wisdom.

And they are all students.

On the stage, Xu Chuan finished explaining the extended application of the Xu-Weyl-Berry theorem, and looked towards the audience with a smile.

After scanning the figures in the venue, he landed on a figure in the front row.

Sal Perlmutter stood there, smiled and looked at Xu Chuan, with approval in his eyes.

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

"The first half of the report meeting on the extended application of the Xu-Weyl-Berry theorem has been completed, and the following will be time for questions. If you have any questions, feel free to ask them. If I know, I will answer."

After the words fell, someone in the venue 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 a measurement of Ω, so figuratively speaking, The above equal-spectrum problem means that if the data obtained for Ω1 and Ω2 under all those (infinite variety) measurements are the same, can it be deduced geometrically that Ω1 and Ω2 can be completely overlapped together?"

Xu Chuan nodded and said, "Before the appearance of the Xu-Weyl-Berry theorem, the answer we got was generally negative.

"However, there are also counterexamples. For example, Milnor constructed a pair of equispectral but non-isometric isomorphic 16-dimensional torus examples. Research in this area involves analysis (spectrum of elliptic operators), geometry and topology, etc. cross content."

"Of course, using the Xu-Weyl-Berry theorem, it can be deduced geometrically at the same time, and it is part of the Xu-Weyl-Berry theorem."

"Thank you." The person who raised his hand thanked him, and sat down with some thought in his eyes.

On the podium, Xu Chuan continued to host the report, and then answered some questions from other people.

For the one-hour report meeting, he spent forty-five minutes to explain, and the remaining fifteen minutes for questions was not long, and it passed in the blink of an eye.

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

Suddenly, someone under the stage raised his right hand.

Xu Chuan looked over and was a little surprised. The one who raised his hand was Professor Brian Schmidt, who led the standing ovation before. Like Sal Perlmutter, he was also the winner of the 2011 Nobel Prize in Physics.

He was still a little curious when a Nobel Prize winner raised his hand, not knowing what the other party wanted to ask.

After the signal was 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 high-latitude space?"

Hearing this, Xu Chuan frowned slightly, and after pondering for a while, asked: "I don't know what the high-latitude space you're referring to?"

"Physically Gaowei!" Professor Brian Schmidt said calmly.

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

Everyone discussed it, and the questions raised by Professor Bryan were really amazing.

In the corner of the venue, among the Nanjing University team, Chen Zhengping couldn't help sighing: "This idea is really crazy."

On the Nantah side, he was the first to understand Professor Brian's idea. I have to say that this is really crazy and whimsical.

On the side, Cai Peng, a student of Professor Zhou Hai, asked curiously: "Professor, what does it mean to calculate Gaowei? Isn't the extended application of the Xu-Weyl-Berry theorem itself a calculation method of information points?"

He still has some research on the Xu-Weyl-Berry theorem.

During the postgraduate period, his main direction was boundary value and fractal drum, but he changed the research field later.

He has read Xu Chuan's weak Weyl-Berry conjecture and the proof papers of the Weyl-Berry conjecture, and 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 far behind. Many things that I hadn’t cleared up before, or were hazy, I already had ideas today.

However, he still couldn't keep up with the opponent's rhythm.

Coupled with the fact that he basically has no physical ability, although he has some ideas about the ideas proposed by Professor Brian, he cannot fully understand them.

Moreover, to be honest, he couldn't believe it.

As Chen Zhengping said, this is too 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 swallowing.

It would be amazing if it could be done.

In mathematics and physics, Gao Wei is not the same concept.

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

All dimensions are equal like any other. The 4th dimension is like a hypercube. A purely geometric concept, without the concept of time.

In sci-fi, more mentioned in time travel. Traveling from low-dimensional to high-dimensional may also come from the concept of geometry.

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

However, it is different in physics, and there are different types of Gaowei's sayings in physics.

For example, in classical mechanics, time is not the fourth spatial dimension, and time is used to describe the way of physical change.

Or, as in Poincaré and Einstein's special theory of relativity, time is treated as a separate dimension.

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

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

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

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

Everyone is talking.

If the extended application of the Xu-Weyl-Berry theorem can be used to calculate high-latitude spaces, it may bring drastic changes to human beings.

Einstein's theory of relativity will be confirmed once again, and the high-latitude space does exist.

Can human beings find a way to explore and enter the high-latitude world.

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

Everyone is talking, but no one has an answer.

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

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

On the podium, Xu Chuan was also thinking.

I have to say 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. No matter how high the mathematical dimension is, it is just something created to describe a marker point.

But the physical dimension is completely different.

But, how to do it to use the extended application of the Xu-Weyl-Berry theorem to calculate the high-latitude space?

Four-dimensional, is it really time?

The theory recognized by the modern physics community is an eight-dimensional space founded in 1957 by the Germanic physicist Barkhard Heim.

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, universal gravitational dimension, and universal repulsion dimension.

This is relatively close to the multi-dimensional space known today, and it can be confirmed by experiments.

Later, his mentor Edward Witten unified the string theory and proposed some unverifiable spaces, but its limitations are obvious and cannot be verified.

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

Because this is too far away from him, so far away that maybe another thousand years, human beings will not be able to get in touch with this aspect.

For a moment, Xu Chuan felt like his head was about to explode.

After recovering from his contemplation, he shook his head and let out a long sigh of relief, and said again: "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. We cannot understand space-time, nor do we know whether four-dimensional space or higher-dimensional space really exists."

"Nowadays, we have too little understanding of the high-latitude world or high-latitude space. Even if it is speculation, there are no several theories. Without information, it cannot be used as parameters such as boundary values ​​​​and eigenvalues. No information on 4D space could be found."

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

After the emergence of the mathematical tool of the extended application of the Xu-Weyl-Berry theorem, he was inspired to think of this aspect.

But it is a pity that he has not fully mastered this tool, nor can he go further on it, nor can he explore whether this tool can be used to calculate high-dimensional space, so he put his hope on today.

pity

The one-hour report meeting ended, and the scholars in the venue gradually dispersed, but the sensation outside had just begun.

The speed of news transmission is very fast. In a short time, today's report meeting has spread throughout the entire mathematics, astronomy and astrophysics circles, and it has the meaning of breaking the circle.

[Today's report meeting is really exciting! 】

[What exactly does Professor Brian Schmidt's last question mean? I'm a bit confused. Calculations in high-dimensional spaces? 】

[The Xu-Weyl-Berry theorem may be used to calculate whether the four-dimensional space really exists or not. 】

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

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

【Oh My God! 】

【impossible? Can mathematics calculate this? 】

[Mathematics can be done, this is for sure, all theories can be expressed in mathematics, but it should not be possible now. 】

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

In the academic forum, various discussions continued, not to mention Xu Chuan, who was still at the International Conference of Mathematicians, was once surrounded by various scholars and reporters who knew the news.

Mathematical tools to calculate high-dimensional space, mathematics to open four-dimensional space, time machine, all of these things involve everyone's heart.

"Can your method really not be used to calculate information in high-latitude space?" In the hotel, Chen Zhengping looked at Xu Chuan and asked, and he was also looking forward to it.

Xu Chuan shook his head, frowned and said, "Any calculation is based on the availability of data. We can't even get data now, so how do we calculate?"

"The Xu-Weyl-Berry theorem can calculate the parameter information of distant celestial bodies, because various astronomical equipment have actually observed various parameters of those celestial body information, and the mathematical method is only a further recalculation and optimization on those parameters. .”

"As for high-dimensional, we know too little, and those theoretical methods are always just theories, and there is no reliable real data. Except for the flow of time, we can't get any other information."

"Mathematics, that's not how it's used."

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 this was an impossible thing to do.

At least not for the time being.

"Forget it, let's not talk about this. We don't understand this thing. If there is any hope, it will either be on you, or it will be in the future after I don't know how many years."

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

Xu Chuan smiled and said, "Soon, I will go back after this International Congress of Mathematicians is over."

He never revealed his thoughts and timing of returning to China to others, but it doesn't matter now.

After this International Mathematics Conference, he is not planning to return to Princeton, but is planning to fly directly from Brazil to Europe, and then return to China.

This is safer.

As for the materials and things in Princeton, it will be fine for people to mail them back or take them back. If they are intercepted, then they don't want them.

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

He originally thought that Xu Chuan would stay in Princeton for another year or two. After all, he is working with Fefferman on the research of the NS equation, and has made phased results. There is great hope that the NS equation can be solved in the future. question.

Xu Chuan nodded, and said with a smile: "Don't delay, the higher-ups have already asked the people from the organization department to look for me."

Chen Zhengping was stunned, and said with a smile: "Then do you want to go with us?"

Xu Chuan smiled and said, "Let's talk about it when the time comes. I haven't made any arrangements for my affairs yet."