Chapter 119: Betelgeuse's scientific research project
The Morningstar Mathematics Award was awarded more than two months earlier because of him Xu Chuan didn't expect it, and he thought at first that it was some kind of observatory application or other good news, but he didn't expect it to be this.
While this is good news from an honors standpoint, the Morningstar Math Prize was presented early to May as well as it was awarded in July or August.
It's just that if other people know about this idea, they will definitely say that he is cheap and good.
can make the Chinese Fields Medal change the award time, which can blow for a lifetime.
But for him, it didn't seem like a big deal.
For him, achievements and intellectual breakthroughs are far more important than glory, and he doesn't mind too much if he doesn't win a single award after proving Weyl-Berry's conjecture.
It may be a pretense to say this β but that's what he thinks in his heart.
Sooner or later, or at all, he's there.
.......
"You kid doesn't seem to be very excited, what's the matter, do you think the grade of the Morningstar Math Award is low?"
In the office, Zhang Zhengping asked with a smile after glancing at Xu Chuan's state.
"That's not true, winning the Chinese Fields Medal is a worthwhile event for any mathematician, but I'm a little worried, this is suddenly awarded two months early, won't it make people gossip?" Xu Chuan asked curiously.
"You can rest assured about this, just wait for the award with peace of mind, no one will gossip."
Chen Zhengping smiled, and then said: "Oh, there is another thing, the astronomical equipment and observatories and other things you applied for before have been approved, and the use time is from March 10th to March 20th, for a period of twenty days, and during these twenty days, you can use all kinds of professional equipment of the Department of Astronomy at will." ”
"Of course, because you are a scientific research project, you need to pay a certain user fee, but these are just from the scientific research project you apply for the project to be paid."
"Don't worry about money, the scientific research projects approved in the name of the follow-up extension of the Xu-Weil Berry theorem have been approved for a total of 2.4 million."
Speaking of this, Chen Zhengping sighed: "A first-year student has presided over more than 2 million scientific research projects, not to mention in NTU, but it is the first case in the whole of China and even the whole world." ”
"The most funded scientific research project I participated in when I was in college was only 80,000 yuan."
"Without the contributions of great scholars like you, teachers, how could we be prosperous today." Xu Chuan said with a smile.
"Alright, don't be poor."
Chen Zhengping glanced at Xu Chuan and continued: "Regarding the matter of scientific research projects, it should be the first time on your side, tomorrow you go to find your senior brother Fan Pengyue, he can help you get things like process procedures and documents, including the use of scientific research project funds and reimbursement and other things, you can learn it along." ”
"After all, with your development, it is estimated that there will be no fewer follow-up scientific research projects, so you should still be familiar with the process."
Xu Chuan nodded and agreed, although controlling scientific research funds and scientific research projects was familiar to him, but what kind of routine it was in China, he really didn't know much now.
On the other side, Chen Zhengping thought for a while and added: "Oh, by the way, for your scientific research project this time, if you need to use some complex and sophisticated astronomical equipment, I suggest you hire some doctoral students from the Department of Astronomy or the Department of Astrophysics." ”
"On the one hand, it's to avoid damaging the equipment, and on the other hand, they're more experienced in operating the equipment, so they can see the data you need more accurately."
"yes, okay."
Xu Chuan nodded, even if Chen Zhengping didn't say these things, he would consider them.
Although astrophysics is also physics, it has nothing to do with the research of his previous life, and he really doesn't know how to use those professional astronomical equipment to obtain the data he needs.
.......
Coming out of the tutor's office, the news that the application for the right to use astronomical equipment was approved made Xu Chuan look up at the sky happily.
Although the light pollution in the city is severe, the weather is fine today, and it will be the time of night, when the moon and stars are bright, and the sparse stars are clearly and brightly hung on the black curtain.
And in the east, there is a group of bright stars shining there.
It is the constellation Orion, which is easily recognizable in the night sky, and there are seven stars that make up its body, four of which form a huge quadrilateral, and the three stars in the middle of the quadrilateral are arranged diagonally in a straight line.
Among the stars, there is a distinctive star on the left shoulder at the top, which emits an orange-red glow visible to the naked eye, which is completely different from the cold white light emitted by other stars.
This star is called Betelgeuse, and it is also the object of his observation.
Betelgeuse can be seen all year round in the Northern Hemisphere.
However, winter is the best way to observe it, especially at the end of December, when it rises in the east at dusk and is located on the shoulders of the constellation Orion.
To the naked eye from Earth, it may be about the size of a fingernail.
But 640 light-years away, it is a much larger star than the Sun.
Physically, Betelgeuse currently has an expansion radius of about 8 astronomical units (AU).
If you place it in the center of the solar system, Betelgeuse may extend all the way beyond Jupiter's orbit.
That is, if it were in the center of the solar system, its surface would go beyond the asteroid belt and reach and beyond Jupiter's orbit, completely sweeping away Mercury, Venus, Earth, and Mars, and some would even think it would be enough to swallow the asteroid belt and Jupiter.
This cognitive bias is caused by distances that are too far away for people to estimate their exact diameters.
In addition, Betelgeuse itself is also changing its shape periodically, coupled with the theory of photometric changes in variable star pulsations, and the change of angular diameter with wavelength, and the fact that Betelgeuse has some complex and asymmetrical cladding, etc., all make it impossible to judge its exact diameter.
Xu Chuan is very interested in this star, which has a huge mass but has reached its old age.
It has a lot of puzzles, and if you can solve some of them, it will be a historical record.
Now that the astronomical observation equipment has been applied, it means that it will be studied in another week.
.......
Returning to the dormitory from his supervisor's office, Xu Chuan temporarily put aside his research on the 'mystery of the proton radius' and turned his attention to Betelgeuse.
Prior to this, he had collected a lot of information about Betelgeuse, from basic star parameters to photographs, to the complex dynamics of Betelgeuse's extended atmosphere, plume gas ejection, and so on.
He'd seen them all once, but he still thought they were amazing.
For example, in 2009, an infrared interferometry study conducted by the Australian Institute of Infrared Research showed that Betelgeuse had shrunk by 15% at an increasingly rapid rate since 1993, but its apparent magnitude had not darkened significantly.
That is, it is 15% smaller in size, but the brightness does not change, neither brighter nor darker.
It's like a 200-pound fat man who lost 30 pounds and became 170 pounds, but he still looks like he was obese.
It's not scientific.
Although scientists later gave some explanations, such as that this apparent shrinkage may be caused by the activity of the crust in the extended atmosphere of the star, or by the massive loss of stellar material.
But each of these explanations has its own flaws.
For example, if the crustal activity in the extended atmosphere of the star is causing the volume to become smaller, then Betelgeuse's brightness should be significantly improved, rather than almost unchanged.
Because if the crustal activity in Betelgeuse decreases, then with the shrinkage, the density of the star will increase, and materials such as hydrogen and helium in the shell will participate in the nuclear fusion reaction, and the brightness will increase significantly, rather than almost unchanged.
This is like striking iron, when a piece of red-hot iron becomes smaller under the impact of a forging hammer, the red color on the surface will gradually turn into a red-hot white.
It's a bit of a misappropriation, but it's very graphic.
In addition, Betelgeuse is already a massive star in its old age and about to have a supernova explosion, so Xu Chuan is very interested in these changes in it.
It would be even more exciting to see it in a supernova explosion in your lifetime.
.........
In the dormitory, Xu Chuan sorted out the information in his hand and took out a stack of blank paper.
The black pen in his hand hovered over the white manuscript paper, and after a deep sigh, he wrote down the data equations one by one.
“....... δ2u/δt2=Δu,t>0,x∈Ω; u=0,t≥0,x∈Ω;
“....... Δ=∑πj=1δ2/δx2j......”
Δ is the Laplace operator and δΩ is the boundary of the Ω.
In order to find the standing wave solution of the problem, using the method of separating variables, let u(t,x)=ψ(t)·φ(x), substituting this into equation (1) and taking into account the boundary conditions, then for λ>0, there are:
Δφ/φ=ψtt/ψ=-λ......
.......
It is not so simple to calculate the shape and diameter of a star through the xu-weyl-berry theorem, and it is not enough to directly bring the observed data into the formula.
The first thing to do is to deform the xu-weyl-berry theorem to a certain extent, so that it can be transformed from isospectral fluctuations to Sobolev space fluctuations, and then calculate it by presenting an amplitude function of periodic oscillations.
This is a very troublesome job, but fortunately, a kind of ordinary target, such as an ordinary star, such as an ordinary black hole, only needs to do a deformation and wave conversion once.
It is an adaptation formula that is practical for all stars within a certain range of parameters.
If someone else is to complete this job, there may not be a month or two that the door can't be touched, but for Xu Chuan, this is all too familiar.
He is the founder of the xu-weyl-berry theorem, and no one is more familiar with the weyl-berry conjecture than him, except for the two proposers of the weyl-berry conjecture, and even the two founders are not necessarily familiar with him.
Therefore, it can be said that the deformation and transformation of the xu-weyl-berry theorem are like a fish in water.
........。