Great Country Academician

The laboratory fell into silence. After a long silence, Xu Chuan said, "Assuming that there is really a companion star in Betelgeuse's hydrogen envelope, if we simply want to confirm its existence, is there any way?"

Hearing this, Liu Xuan raised his head and said, "This may be possible, but it depends on how far it is from the core."

"You know, from an astronomical point of view, every star has a different spectrum. Even the same star has different spectra in different periods."

"Today's Betelgeuse is a red supergiant star whose spectrum is M1-M2Ia-Iab. If there is a companion star in its hydrogen envelope, and the companion star is near the outer edge of the hydrogen envelope, then the light of the companion star And radiation can pass through the outer hydrogen envelope of Betelgeuse to the earth, although it may be very weak, it can still be distinguished and confirmed based on this.”

"In addition, things like temperature and luminosity can also be used as auxiliary judgment methods."

"Betelgeuse's surface temperature, luminosity, and companion star's temperature and luminosity must be different. Maybe you can search the previous data. There may be anomalies in the previous observation data, but no one has considered this aspect."

"If the companion star really exists, then it must be revolving around the core of Betelgeuse and has a periodic time."

"Keep watching it should be able to find some clues, but how long it will take is uncertain."

After a pause, Liu Xuan suddenly remembered something, and then asked: "By the way, junior brother, you can calculate the diameter of the companion star, but what about its mass? If the mass can be calculated, you may be able to roughly infer the companion star's diameter." How far is it from the Betelgeuse core."

"If you know the mass and distance, you can calculate how long its revolution period is."

Xu Chuan: "I don't know yet. I have only calculated the diameter of Betelgeuse here. I am not sure whether there will be two sets of answers in the first set of data when calculating the mass."

"Well, find me a quieter room, and I'll try."

Liu Xuan nodded, looked at a middle-aged man among several researchers who were not from the Department of Astronomy of Nantah University, and said, "Director Zhang, can you borrow a room for a while?"

When asked, the middle-aged man surnamed Zhang grinned and said: "It's okay, we may not have much food and drink here, but there are many free rooms."

"This is Xu Chuan, who proved Weyl-Berry's conjecture. I heard that Nantah University has a mathematical genius who is rarely seen in a hundred years. I saw him today, and he really deserves his reputation. He can even calculate the volume and mass of distant stars. If this is really a breakthrough, it will be a revolutionary change for the astronomical world, let alone a room, even if you live here for a year or so, it will be fine."

Xu Chuan got up and smiled, and said, "Director Zhang, please."

"It's okay, do you need it now?"

Xu Chuan nodded and said, "Well, this matter should be done sooner rather than later."

To be honest, he didn't think that using the Xu-Weyl-Berry theorem to calculate the information of Betelgeuse would lead to such a thing.

He thought that as long as the observation information was collected, he would be able to complete the calculation smoothly.

Who would have thought that there might be a companion star hidden in Betelgeuse's hydrogen envelope?

This matter is serious and serious, and it is not serious if it is not serious.

The serious thing is that Betelgeuse is a massive star in its later years, and it may explode as a supernova at any time in the future.

Although the current astronomical community has calculated that there is an angle difference between the magnetic pole of Betelgeuse and the solar system, even if the supernova explosion does not threaten the solar system, the gamma-ray burst will not be aimed at the earth.

But if there is an additional companion star, what will happen in the subsequent supernova explosion will be another cloud of fog. No one knows at what angle the gamma-ray burst will sweep across the universe.

It is not serious, but according to the current calculation of Betelgeuse, its supernova explosion may take thousands of years, tens of thousands of years, or even hundreds of thousands of years.

When this time passes, it may not be possible for human beings to still be on the earth, and even if they are still there, what does human beings have to do with them at that time.

After all, "I don't care about the flood after I die."

Xu Chuan didn't think this way. He found a problem, and he must find a way to solve it.

Even if you can't solve it, try your best to find out the situation of the problem.

Following Director Zhang in front of him, Xu Chuan came to a small room on the third floor of the institute.

"Is it okay here? This is a laboratory on the side of the observatory. Usually no one comes here. It's very quiet and easy to think about."

Director Zhang asked Xu Chuan, then turned on the incandescent light in the room and turned on the air conditioner.

Xu Chuan glanced at the room, there were tables and chairs, then nodded, and said, "Yes, please trouble Director Zhang."

"Hey, what's the matter? Your research is of great significance to our astronomical community. It is a brand-new calculation method for star information. With it, we will be able to explore the cosmic sea of ​​stars more accurately in the future."

Director Zhang shook his head with a smile, and continued: "Then I won't bother you for the time being. If you need anything, you can come to office 106 on the first floor to find me."

As soon as he walked out of the room, Director Zhang remembered something, turned around and came back to add: "Oh, yes, there is one more thing."

"Don't forget the time when you are doing research. The dinner here should be different from your school. It is only served between 5:30 and 7:00 in the evening. It is in the cafeteria next to the first floor. If you miss the time, it will be gone."

"Besides, you don't even want to order takeaway in this barren mountain. The time is between 5:30 and 7:00. Remember it, don't miss it."

Xu Chuan nodded and said, "Well, I see, thank you Director Zhang."

"You're welcome."

After the people from the observatory left, Xu Chuan touched the table in the laboratory, and it was covered with a layer of dust.

It seems that Director Zhang is right, no one usually comes here, it is very quiet.

Taking a few pieces of toilet paper from his backpack to clean the tables and chairs, Xu Chuan turned on the computer and recalled the observation data of parameter four.

Although the calculation of the diameter and mass of Betelgeuse is carried out using the same Xu-Weyl-Berry theorem, some details involved are different.

He needs to integrate the mass calculation formula, the law of circular motion, Newton's law of universal gravitation, and luminosity into the Xu-Weyl-Berry theorem, and then transform it again on the basis of the previous one to transform it from the Sobolev space fluctuation calculation method Calculation of the blackbody radiation cone.

Then use the brightness of the star to approach the boundary value, and then bring it into the formula to get the mass.

If you want to do a lot of calculations, the best way is to build a mathematical model.

However, if you study it alone, there is no need to spend that effort, and it will not be much slower if you directly calculate it with a pen.

After taking out the manuscript paper from his backpack, Xu Chuan pondered for a while, and then directly started to reverse the Xu-Weyl-Berry theorem from the Sobolev space fluctuation calculation method.

As for the previous process, there was no need for him to write it again. Those things were all in his mind, so clear that it was impossible to forget them.

".The asymptotic behavior of the eigenvalue λk as k→+∞. For λ\u0026amp;amp;gt; 0, define

N(λ)= N(λ,4,Ω)=]{j |λj 6λ}"

"Introducing Kepler's third law, when the action range is λ～1013cm, |α|\u0026amp;amp;lt;109"

"."

".When the luminosity is 90000 ~ 1.5×10^5 L⊙, corresponding to."

"Then the asymptotic behavior of λk is equivalent to studying the counting function, giving N(λ)=(2π)nωn|Ω|nλn/2 + o(λn/2)"

In the laboratory of the Southern Yunnan Observatory, Xu Chuan concentrated on calculating the data in his hand.

This should have been completed a few days ago, but unexpected circumstances dragged it until now.

However, with the previous foreshadowing and experience, it can be said that it is handy to reverse the Xu-Weyl-Berry theorem this time.

In fact, for the reversed Xu-Weyl-Berry theorem, it can be said to be a new calculation formula.

The volume used to calculate Betelgeuse before is, and now the mass used to calculate parameter four is also.

Of course, to be precise, it should belong to the branch of the Xu-Weyl-Berry theorem formula.

But now, he is the only one who can easily reverse the Xu-Weyl-Berry theorem.

Even though he has publicly reported the proof process of the Weyl-Berry conjecture in Princeton, it is not so easy for other people to fully digest and accept it, even for a Fields Medal winner.

A world-class conjecture, if it were that easy to understand, wouldn't need six different reviewers to review it simultaneously.

Although it is to ensure the rigor of the review, it is also to speed up the progress of some reviews. After all, it is much faster for each person to understand what they are best at than for one person to understand the entire argumentation process.

In the laboratory, Xu Chuan was prostrate in front of the table, still writing on the manuscript paper with the black signature pen in his hand.

Suddenly, the mobile phone placed aside vibrated, which startled him a lot.

If you are suddenly interrupted when you are fully focused, even if it is a familiar mobile phone ringtone, it is easy to be frightened.

After recovering, Xu Chuan breathed a sigh of relief, picked up his phone and turned off the alarm clock.

This was set before he started working, and the time was set at 6 pm, which was the time for dinner at the observatory.

After all, Director Zhang said before that the time for eating here is fixed, and if you miss it, there will be no more.

Unlike Nantah University, even if he tosses until one or two in the morning, he can still order takeaway or something.

Here at the observatory, order takeout?

Don't make trouble, the nearest town is more than 30 kilometers away, and there is a woolen takeaway.

So to be on the safe side, he set an alarm clock in case he missed dinner.

People are like iron, and food is like steel. If you don't eat a meal, you will be hungry.

Especially his kind of work consumes energy very quickly. If he doesn't eat dinner, he will be so hungry that his stomach hurts at night.

After turning off the alarm clock, Xu Chuan looked at the manuscript paper on the table. He didn't expect that this twist of the Xu-Weyl-Berry theorem would be so troublesome.

The calculation of mass is much more troublesome than the calculation of diameter. Even with previous experience, he took a lot of side roads this time, and a dozen sheets of manuscript paper on the table were wasted.

I thought that about four hours should be enough, but I didn't expect to be able to integrate the calculation of the black body radiation cone into the formula from 2 o'clock in the afternoon until now, and it is estimated that I will have to toss for another two or three hours later.

If it was him before rebirth, he might not be able to handle these things.

After all, he was not very good at mathematics before his rebirth, especially in areas such as spectral theory and fractals, which he had not studied specifically.

Fortunately, after rebirth, he put all his energy on mathematics, otherwise, even if he knew that the Xu-Weyl-Berry theorem can be used to calculate the fluctuation of three-dimensional stars, he would not be able to do this step.

In one and a half years, he once again refreshed his understanding of the importance of mathematics, a basic tool, in other disciplines.

It can be said that without mathematics, other subjects would not be able to develop.