In the small living room, Xu Chuan asked a question in a serious and solemn voice that was a little surprising to everyone else.

Whether topology can allow a one-way or two-way topological "tunnel" in three-dimensional space in mathematical equations and quanta?

This question made everyone in the living room cast a look of surprise.

"Einstein-Rosen Bridge?"

The first to react was not Tao Zhexuan or Schultz, nor Perelman or Professor Curtis, but Professor Kelvin Yve, who had not made much noise in the crowd and had no sense of presence.

The professor of mathematics at St. Petersburg State University, who had come with him, looked surprised and confused. He never imagined that this 'first person' in the field of mathematics would be thinking about this problem.

The Einstein-Rosen Bridge, also known as the space-time hole, is a narrow tunnel that may exist in the universe connecting two different space-times.

Of course, in many sci-fi or sci-fi movies, people often call it a 'wormhole'.

'Wormhole' is a kind of tunnel first proposed by Austrian physicist Ludwig Flaim in 1916 and 'hypothetical' by Albert Einstein and Nathan Rosen in 1930 when they studied the gravitational field equations.

They believe that through the 'wormhole', they can do instantaneous space transfer or time travel.

To put it simply, a "wormhole" is a thin tube of space-time connecting distant regions of the universe, just like digging a 'tunnel' straight at the foot of a mountain.

The time and distance required to get through this tunnel is much shorter than the mountain that can be climbed or bypassed.

However, neither for the mathematical community nor for the physical community, there is no trace of the existence of the Einstein-Rosen Bridge.

He really didn't expect the young scholar to study something like this, and it sounded like a plot that only appears in a Hollywood sci-fi blockbuster.

Of course, it is also possible that he has some clues?

On the side, Tao Zhexuan pushed the glasses on the bridge of his nose, looked at Xu Chuan with a little interest in his black pupils, and said:

"If I'm not mistaken, the root of your question doesn't seem to be based on Einstein's view of time and space? Or have you already done some detachment from it? ”

Einstein's view of space-time is a central theory in the theory of relativity, which believes that space-time is a unified four-dimensional space-time structure, and that time and space are interrelated, rather than two concepts that exist independently.

But in this case, time seems to be stripped away separately, leaving only room for mathematics.

He didn't know why Xu Chuan asked such a question, but he believed that with the other party's physical ability, his understanding of the space-time and time dimensions must be above him.

This is what he is questioning,

Hearing this, Perelman and Schultz both raised their heads and looked at them together.

Xu Chuan nodded and said, "Indeed, as you understand, the time in this question has been stripped away by me alone. Because what I want to ask is not only whether there is such a 'tunnel' in a three-dimensional world, but also whether there is such a 'tunnel' in two 'finite and unbounded' three-dimensional worlds. ”

"And on that basis, the concept of time doesn't make much sense."

Hearing this question, Schultz asked curiously: "Is this your understanding of the universe?" It's like "

After thinking for a moment, he continued: "It's like dumbbells, with the universe at both ends and a tunnel in the middle? ”

"Or is it centered on the Big Bang of the Singularity, spreading to both sides, our universe is on this side, and there is a universe on the other side, and you are looking for a way to the other side?"

Xu Chuan shook his head and said, "I don't know much more about the universe than you, but I may be more inclined to the parallel world or hyperspace model. ”

"To put it simply, just like our universe now, each planet is a universe, and the vacuum is like a vast 'hyperspace', and the universe is like a three-dimensional sphere, suspended in hyperspace."

Perelman frowned, and after thinking for a long time, he spoke: "This question is beyond the current theoretical basis, and I can't find any answer to answer you even if it seems a little more reliable." ”

He had figured out the core of Xu Chuan's question, but he didn't have an answer.

After all, their understanding of the current universe is so limited, so how can they give an answer to the unknown.

After a pause, Perelman raised his head, stared at Xu Chuan with shining eyes, and asked, "But speaking of which, I'm more curious why you would ask such a question?" ”

Xu Chuan smiled and said, "Just take it as my personal hobby." ”

"After all, I'm not just a mathematician, a physicist, a scholar, I'm an ordinary person, and of course I've imagined these things. The difference is that I have a certain ability to do research. ”

This is just a set of rhetoric, and the core thing, he can't say.

That aviation disaster was like a dream for him.

Of course, it could also be a miracle?

Anyway, he still hasn't figured out what is going on with him, is he really reborn back twenty years ago, or has he traveled to another parallel world, or is he just having a long dream?

On the one hand, the study of space-time tunnels is a preparation for the future 'graviton', and on the other hand, there are some ideas that want to figure out what is going on in themselves.

As a scholar of 'science', Xu Chuan doesn't believe in myths, even though what happened to him is like a myth.

He'll find an answer to this eventually.

Skipping the 'sci-fi' question, Xu Chuan continued his conversation with Perelman.

It is important for him to find out whether it is 'reborn' or 'crossing' or 'dreaming', but more important is the present.

For him, who has almost reached the peak of his personal life in mathematics, the problems he faces now are almost the same as those he faced in physics in his previous life.

Every step in the next step, if you want to break through, I'm afraid you need to put in more effort.

Although his current mathematical ability is enough to deal with the problems he is currently experiencing, what about the future?

In addition to other fields, physics alone is not just physics, and the physics of the future will be more than the standard model.

Inert neutrinos that have been discovered, dark matter and dark energy that have not yet been discovered but have been confirmed to exist in the 'future', and gravitons that have not been completed in previous lives.

All of these things require stronger math to sustain him all the way.

Instead of searching for an answer that you will most likely not find an answer to, you should spend your time exploring questions that you can find.

The morning passed in such an exchange.

When Perelman was about to keep a few people for lunch at his house, the group didn't have the cheekiness to stay.

After all, if they stay, Perelman, who lives on less than 40 meters of gold a week, may go hungry next.

Of course, several people, including Xu Chuan, were not interested in the brown bread and macaroni that Perelman ate.

In comparison, their tastes are normal.

After coming out of Perelman's house, Xu Chuan stood on the side of the road and stretched.

Today's visit went smoothly on the whole.

The reclusive scholar was not as withdrawn as the legend suggests, he was just not interested in anything other than mathematics.

If you come to him with a math problem, he'll be more than happy to do so.

Although they did not get a 'possibility' answer from Perelman, the two did exchange a lot of academic ideas.

Especially in the field of topology, the scholar who solved the Poincaré conjecture has an astonishing knowledge of topology, geometry, space, dimensions and transformations.

Whether it's a kink problem, a concept of dimensions, or a problem in the field of vector fields, he gives some ideas and directions of his own.

It has to be said that if this 'reclusive' scholar is willing, he will definitely be able to make great achievements in the field of 'physical topology'.

The 2016 Physics Prize was awarded to three scholars who used topology to study the topological phase transitions and topological phases of matter, and in terms of topological changes, I am afraid that there is no scholar in mathematics today who can go deeper than Perelman.

I dare not say that he will definitely win the Nobel Prize, but the field that topology can open up, in Xu Chuan's view, is far from the end.

That's why he came all the way to talk to Perelman.

If it was possible, Xu Chuan still wanted to pull the hermit out, but he only got a response of "I don't have any interest in those things" and there was no follow-up.

Even this International Congress of Mathematicians, which was held in St. Petersburg, so to speak, right on his doorstep, he had no interest in it.

It seems that if he wants to pull him out, only his mother can do it.

I heard that Perelman is a child who listens to his mother very much.

Sadly, they didn't see the mother during their visit today.

"Professor Xu, Professor Tao, Professor Schulz, do you want to go to the Szechlov Institute of Mathematics together?" On the side of the road, Professor Curtis warmly invited.

Although the level of mathematics in Tsarist Russia is very strong, it also depends on who you compare it with.

Although the Skelov Institute of Mathematics is backed by St. Petersburg State University, it is far from enough for the three Fields Medalists in front of them.

It is also an honor for the institute to invite these big bulls to the institute as guests.

Hearing Professor Curtis's invitation, Xu Chuan shook his head with a smile and politely refused: "No, Professor Curtis, I have some other things to deal with this afternoon, so I'll bother you next time." ”

A visit to Perelman in the morning will take the afternoon to sort it out.

Compared to this job, a visit to the Skelov Institute of Mathematics is not very meaningful.

On the side, Tao Zhexuan and Schultz also declined each other's invitations, and it was not only Xu Chuan who had gained this morning.

Of course, more importantly, they came with Xu Chuan's hitchhiker, if they didn't go along, it would be difficult to take a taxi back in the remote suburbs here.

After saying goodbye to Professor Curtis, the group got back into the car and returned to the Imperial Hotel in Tarun.

After a simple lunch in the hotel, Xu Chuan said goodbye to Schultz and Tao Zhexuan and returned to his room.

The notebook on the desk was opened, and he simply sorted out today's harvest and recorded it.

Although the answer to the tunnel connecting the two three-dimensional spaces was not answered from Perelman, the subsequent exchange gave a little speculation about this direction.

It is uncertain to form a connecting tunnel in two three-dimensional spaces, but in a single three-dimensional space system, there are one or more connected tunnels, which is completely achievable mathematically and topologically.

Looking at the harvest sorted out in his hand, Xu Chuan fell into deep thought.

Finding other universes and tracing back to one's own source is obviously an unreliable and directionless thing at present, but on this basis, it seems that completing the Einstein-Rosen Bridge in the universe is not something hopeless.

Especially from the future, he knows very well that the imaginary particle of graviton is real, and it is a particle that transmits energy like other mediums.

Although he only made a part of the research at the time, it is undoubtedly a beacon for him to point out the direction of his research now.

But how do you introduce gravitons into the Einstein-Rosen bridge?

In other words, how to mathematically accomplish the dependence of gravitons on the topological shrinkage point of the Einstein-Rosen bridge in three-dimensional space?

Einstein and Rosen have mathematically given the space-time hole, and now it's his turn to open the bridge mathematically.

If it can be done, this will be a key node for human civilization to transform from a planetary civilization to a space civilization.

PS: There is one more chapter later, ask for a monthly pass.

(End of chapter)