The dinner soon came to an end.

After chatting for a while about the research of Riemann functions and number theory, Xu Chuan, who was satisfied, raised the glass in his hand, touched the glass with Faltins and Witten, and put the little champagne left in it into his mouth.

With this chat this evening, it is totally worth it to take some risks to visit Tsarist Russia for the International Congress of Mathematicians.

The words of Witten opened up a new way of thinking for him.

For the study of Einstein Rosen Bridge, from the chaos at the beginning to the present, he has grasped a 'thread'.

Although he couldn't wait to go back to the room and continue to sort out his thoughts, he was also one of the protagonists in today's mathematics conference, and it was impossible for other scholars to just let him go.

Round after round of mathematicians and physicists stepped forward to greet him and exchange some contact information.

Although he only took a small sip, the number of scholars who couldn't resist coming to greet him was so great that he drank a lot of champagne for the last half hour or so.

But fortunately, his alcohol and physical fitness were okay, but he was not drunk, and returned to his room with some drunkenness.

After taking a simple shower and changing out of clothes with the smell of alcohol, Xu Chuan wiped his hair and sat down at the desk.

Flipping through his notebook, he picked up the ballpoint pen that had been placed aside, pondered for a moment and wrote down a line of mathematical formulas.

【ds=（1-2M/r）dt-（1-2M/r）dr-r（dθ+sinθdφ）】

This is one of the formulas of the Schwarzschild gauge, one of the evolutionary formulas of the space-time gauge, and the original starting point of the Einstein Rosen Bridge.

The concept of space-time holes was first born out of the study of Schwarzschild solutions. When physicists analyzed the solution of the white hole, through an Albert Einstein thought experiment, they discovered that the universe itself could not be flat.

It's like a piece of paper, you rub it and it crumples.

In this uneven cosmic space-time, this 'zigzag folding' structure means that massive celestial bodies will compress space-time 'downward'.

To put it simply, it's like putting an iron ball on top of a plastic sheet.

Because of its weight, the film will be crushed by the iron ball, and if the weight is sufficient, the film may be bent to the ground.

The same is true in the universe, such as the black hole as we know it, because of its excessive mass, it will 'compress' the surface of the water almost infinitely, and if it is strong enough, in the uneven space-time of the universe, it means that the part within the black hole's event horizon will be combined with another part of the universe.

This is the original "Schwarzschild throat" proposed by the Austrian physicist Ludwig Flam, and later Einstein and Nathan Rosen refined the wormhole theory, they tried to see black holes as elementary particles, and based on this to deduce the existence of space-time holes.

However, the formulas of general relativity at the time could not solve the "singularity" (the point of infinite mass), so Einstein hated such points.

So they started with the standard black hole solution and merged it with another flipped black hole to form the Einstein Rosen Bridge.

Although in Xu Chuan's view, the 'space-time hole' composed of the black hole theory has lagged behind a lot, some theories in this statement can still be used for reference.

"If you look at a black hole as a three-dimensional space, in the photon layer, the gravitational field forces the photons to move in orbit, and if you change the three-dimensional structure, the gravitational field is simulated as a field caused by a 'graviton', and the line elements are represented by spherical coordinates, a new set of coordinates can be derived."

"The new "time" and "space" variables represented by Kruskar coordinates, with the introduction of 'gravitons', can obtain [ds=16M/r·er/2M(dt′-dx′)-r(dθ+sinθdφ).]"

“.”

In the hotel room, Xu Chuan contemplated the work that had not been done before.

The 'ancient' Einstein Rosen Bridge has been changed to expand to the entire universe, no longer limiting the scope and type of death.

This means that theoretically speaking, 'space-time holes' can be opened everywhere in the universe.

Of course, theories are just theories, and to support the stable existence of the 'space-time hole', extremely powerful energy is required.

Gravitons are just a key that can open the door that has been locked by the universe, but it takes extra strength to open the door and let people in.

And this 'strength', to be honest, Xu Chuan doesn't know what it is yet.

Maybe it's dark energy, maybe it's antimatter, maybe it's regular energy, but this work can be done later.

Now, all he has to do is complete the architecture of this 'bridge' with a functional formula!

Just as he was about to start, there was a knock on the door.

"Who?"

Xu Chuan frowned slightly and shouted, and soon a voice came from outside.

"Professor, it's me, Tang Ran, I've prepared some decanting soup for you."

A voice came from outside, Xu Chuan got up and walked over and opened the door.

Tang Ran stood at the door and handed the decanting soup in his hand to Xu Chuan: "Professor, you drank a lot of wine tonight, this is a decanting soup, which can make your body more comfortable." ”

Xu Chuan took the decanting soup with a smile and said, "I'm sorry for you." ”

Although he wasn't too drunk, he was happy to accept it if it could make his mind clearer, especially if he needed to continue to study the space-time cave.

Tang Ran smiled and said: "This is my job, if you feel unwell after drinking, please tell me, professor." ”

Nodding, Xu Chuan returned to the room with the decanting soup.

In front of the desk, he opened the lunch box, which contained more than half a bowl of soup, warm yellow in color, and a trace of orange peel, lotus seeds and other ingredients in it, steaming some hot, it could be seen that it was freshly boiled.

I tried the taste, with a hint of sweetness and sourness, and after rolling down my throat and falling into my abdomen, I exuded a warmth, and the whole person felt a lot more comfortable.

After smashing his mouth and savoring the taste of the decanting soup, Xu Chuan picked up the ballpoint pen again and continued his research.

Formulas and algorithms for each item emerge like a stream.

Xu Chuan is very glad that he has studied mathematics in this life, if he was himself in his previous life, he would not have this mathematical foundation.

Even with this inspiration, he can't do it alone.

Time passed little by little, and the sky outside gradually darkened.

【τ0=1/8πGc﹣b0~5·10·dyn/cm（10m/b0）~5·10dyn/cm（1l.yrb0）】

Looking at the equation in the notebook, Xu Chuan put down the ballpoint pen in his hand and breathed a long sigh of relief.

"It turns out that the solution properties of the Einstein field equations of general relativity cannot be adapted to the whole picture, and they are local at and beyond the three-dimensional level, which means that they cannot determine the overall geometric properties of space-time, but the solutions of the equations can be embedded in space-time with different topologies, showing a Schwarzschild wormhole connecting two distant space-time regions."

"It's just that such wormholes can't really be connected, and they lack the key of graviton. If space-time holes connect two parts of the same universe, the traditional Einstein-Rosen bridge will quickly sandwich any particle (including photons) between the two regions, with a tidal force at least equal to the maximum mass neutron star center pressure. ”

"This level of tidal force cannot be passed by existing matter at all, and it will be directly compressed into a nuclear state in the first place."

"However, after the introduction of the graviton key, the additional 'energy' is used to relieve pressure, and it may be possible to complete the passage without injury."

This means that a graviton-opened space-time hole must have a static, axisymmetric, throat, and tidal force on the basis of the Einstein Rosen Bridge. and other properties. ”

After simply sorting out the contents of the notebook, Xu Chuan stood up and stretched, with a hint of satisfaction on his face.

Although he is still far from perfecting this theory thoroughly, he has already carved out a clue for this path.

All that's left is to keep going along it.

If nothing else, tonight's research will bring many physicists to the future Huaguo Large Strong Particle Collider project.

After all, this is the key to opening the 'space-time hole'!

There's nothing more exciting than this, in space-time physics.

The next day, after the opening ceremony, the exchange meeting and presentation meeting that the scholars who came to the International Congress of Mathematicians were most looking forward to began.

The most striking is the report of the four new Fields Medal winners.

Amelia's presentation was held in Lecture Hall 2 of the Imperial Hotel in Talen, and she was the first of four Fields Medal winners to give a presentation.

The lecture hall was quite lively, and there were many scholars present.

Many people are curious and curious about this young female Fields Medal winner.

After all, in the world of mathematics, there are very few women. According to the Mathematical Society of America (AMS), the proportion of men is much higher than that of women among mathematicians.

The proportion is even more staggering, reaching about 80% for men and only 20% for women.

On this basis, there are even fewer female mathematicians who have made top-notch results.

A person like Amelia who has both beauty and talent is rarer than wild giant pandas.

Therefore, even many scholars whose research fields are outside the scope of the regular family of holopure functions and the regular family of metapure functions have come here with some curiosity.

After all, people are all good-looking animals, and instead of reading a middle-aged uncle's report in a field that is not interested, it is better to come here and enjoy the beautiful girl.

Even if you don't understand it, it's good to look at.

For his students' report meeting, Xu Chuan naturally wanted to support, and with a few students, he came to the venue half an hour early.

In the background, he found Amelia and Gu Bing, who were being put on makeup by the staff, and he smiled and said hello to the two.

Today's presentation, according to the rules of the International Mathematical Union, should have been Amelia alone.

However, after discussing with Gu Bing, she applied to the committee and asked the two to make a report together.

After all, Bloch's conjecture was solved by the two together, and although she was the main force, the Fields Medal had also been taken away by her. And as a colleague who solved Bloch's conjecture, no matter what he said, he deserved an hour-long report meeting.

"Professor, why are you here?" After seeing Xu Chuan, Amelia and Gu Bing both said hello a little nervously.

Xu Chuan smiled and said, "Are you so nervous?" ”

The two nodded nervously, both with apprehension on their faces.

It was the first time that I gave a presentation at an international conference of mathematicians that was open to mathematicians from all over the world, and it was impossible to say that I was not nervous.

Although I have been preparing for this for a long time, I am still nervous when I approach the report meeting.

Xu Chuan smiled and said to the two of them in an encouraging tone: "Come on!" ”

"Hmm!"

After encouraging the two students, Xu Chuan returned to the lecture hall.

The briefing on Bloch's conjecture will soon begin.

Under the gaze of thousands of people, Gu Bing and Amelia stepped onto the report stage at the same time, one of them dividing the side.

Although the audience was a little surprised that there would be two presenters at the same time, it is not surprising that the IMU would make such an arrangement, considering that Bloch's conjecture was jointly proved by the two.

In the one-hour report meeting, Gu Bing was in charge of the first half, and Amelia was in charge of the second half, although the cooperation between the two was a little bumpy at first because of the first time they stood on such a stage, but as time went by, they quickly adjusted.

After all, Bloch's conjecture has already passed peer review and landed in journals.

Today's report meeting, although it is grand, does not need the two of them to face the worrying review session again.

An hour wasn't a long time, and after the forty-five minutes of presentation had passed, Amelia had fifteen minutes left for a question-and-answer session with the audience.

Although Bloch's conjecture has become a theorem, the core idea of solving this conjecture process is not understood by everyone.

Moreover, there is a difference between a presentation at an international congress of mathematicians and a presentation meeting held after proving a conjecture.

The latter is a targeted review, while the former is more like a friendly exchange in the academic community, and the questions asked may not be completely related to the content of the report.

But on the whole, the report will be quite smooth.

And for Xu Chuan, there is nothing more gratifying to see the two students he brought grow up smoothly.

(End of chapter)