Xueba starts with change
Chapter 518 3 tasks, 4 subject directions
Chapter 518 Three tasks, four subject directions
Opening the door, Chen Zhou was slightly taken aback when he saw the person coming.
Because in Chen Zhou's estimation, Friedman should come to talk to him when the academic exchange is about to end, not now.
"Professor Friedman, what do you want from me?" Chen Zhou asked Friedman while letting Friedman into the room.
"Hmm..." Friedman pondered for a moment before saying aloud, "I can't sleep at night, and I want to communicate with you."
Chen Zhou smiled softly when he heard the words, and said, "Professor, you can just call me no, there is no need for you to come and find me in person."
Hearing Chen Zhou's words, Friedman pouted and motioned him to look at his mobile phone.
Chen Zhou took out his phone strangely, unlocked it, and slid to the chat interface.
The moment the chat interface popped up, Chen Zhou was embarrassed.
Well, it's not that Ganqing didn't send me a message, it's that I didn't notice it at all.
This... is really a bit of an instant slap in the face...
"Ahem..." After coughing twice, Chen Zhou touched his nose with his hand and deliberately changed the subject, "Well, professor, did you come to me for the accelerator laboratory of CERN?"
Seeing Chen Zhou's appearance, Friedman smiled and pointed at Chen Zhou: "You boy, are you studying some difficult problem again? That's why you are so immersed in it?"
After speaking, Friedman was directly attracted by the messy stack of draft papers on the table in Chen Zhou's room.
Walking to the table, Friedman reached out and picked up a few pieces of draft paper, flipping through them one by one.
Chen Zhou also said at this time: "Professor, as you said and as you can see, I was really busy studying this mathematics topic just now."
Friedman put the draft paper back on the table, and said with some emotion: "Chen Zhou, to be honest, you are really a hard-working scholar I have ever seen."
"In mathematics, you have just solved Goldbach's conjecture for a short time, and you have devoted yourself to the research of the next mathematics topic so quickly. It is really hard to imagine."
"Even Wiles, who also proved Fermat's last theorem, I've heard that he had a moment of arrogance after that, and he left mathematics research for a while."
"What's more, you are not just a mathematician, you are still a physicist, and you are still conducting academic exchanges..."
The more Friedman talked, the more he felt that Chen Zhou was diligent, as if he himself regretted that he was not as diligent as Chen Zhou when he was young.
Hearing Friedman's words, Chen Zhou didn't feel anything.
Whether it is a mathematician, a physicist, or a person of various other professions.
There is no reason for an excellent person to lie on the existing credit book and wait for death.
If so, sooner or later you will lag behind the development speed of the world and eventually become an ordinary person.
It is even possible that, in the end, because the float is too high, it is not even as good as ordinary people.
The example of Shang Zhongyong has existed since ancient times.
Therefore, Chen Zhou said sincerely: "Professor, I am a person who can't be idle. Goldbach's conjecture is a thing of the past. I believe it will become Chen-Goldbach's theorem soon."
"So, I don't need to be immersed in the past. Only new goals can arouse my interest in mathematics. It is the same in physics. The glue ball has been discovered, but there are many other interesting things. "
Friedman raised his head slightly, looked at Chen Zhou, and said slowly: "This is probably the reason why you can achieve such remarkable achievements at this age."
Chen Zhou didn't speak, but just smiled.
After a while, Friedman suddenly realized something, and said apologetically: "Chen Zhou, I just read your research content without your consent, and I apologize to you."
Chen Zhou looked at Friedman in surprise.
To be honest, he really didn't think about it.
Moreover, not to mention that Friedman was his mentor, even if it was someone else who reached out to take a look at the two out of curiosity, Chen Zhou wouldn't mind too much.
Seeming to see Chen Zhou's thoughts, Friedman explained: "The content and results of academic research all have their own privacy. Without the permission of the owner, no one should wantonly peep."
"Perhaps you think my behavior just now is not a big deal, but what if I have done research on the minimal model program? What if I know a mathematician who studies in this field?"
"You have to know that the minimal model program has not yet been completely solved, and two Fields Medalists have already been produced in this field. Many mathematicians believe that this field will also produce new Fields Medalists. Winner..."
Because of his habitual closed-door research mode, Chen Zhou really didn't think much about this issue.
Now, as Friedman said, he feels that the protection he has adopted for the content of his research topic is really a bit too little.
In the simplest terms, before going to open the door, he should tidy up, or close the draft papers and cover them up.
However, Chen Zhou did not take any of these measures.
If Friedman is really as he said, then all the content on the draft paper has been exposed.
If he reveals it to mathematicians who have in-depth research on the minimal model program, it is unknown who the content on these draft papers will belong to.
"Professor, I see. I will pay attention to it in the future." Chen Zhou looked at Friedman and said softly.
Friedman nodded slightly: "I know that you are used to your own research mode, and you may be negligent in this regard, but as your ability becomes stronger and stronger, you have to believe that there will always be someone coveting your research results .”
After finishing speaking, Friedman did not wait for Chen Zhou to reply, but instead said, "I came to you tonight mainly to talk to you about the CERN accelerator laboratory. Have you ever thought about staying at CERN?"
Originally, after hearing Friedman's previous sentence, Chen Zhou was still thinking about whether his research results would be coveted by others, and how to prevent it.
As a result of the last sentence, Friedman began to ask him if he had ever thought about staying at CERN.
Chen Zhou only felt that Friedman's thinking was quite jumpy.
Unlike what others said, the thinking of the elderly is relatively slow.
After a brief astonishment, Chen Zhou did not hide from Friedman, and replied truthfully: "No, I never planned to stay at CERN."
With Chen Zhou's confirmation, Friedman didn't know whether to be happy or regretful.
Fortunately, Chen Zhou was not attracted by the words of Mitch Johnstone.
Unfortunately, from a long-term perspective, CERN should be the most suitable place for Chen Zhou.
Only a place like CERN can support a physics genius like Chen Zhou.
However, Friedman, who had already got the answer, did not struggle too much.
After such a long time of contact, Friedman already knows what kind of person Chen Zhou is.
Therefore, he believes that Chen Zhou, who is not at CERN, can still embark on a brilliant path.
However, this road may be more difficult.
Friedman said: "Chen Zhou, I know that you are a person with your own ideas, and you will implement them step by step according to your own ideas, so I hope you can embark on your own academic path."
Chen Zhou looked at Friedman and nodded slightly.
Friedman glanced at Chen Zhou with satisfaction, and then said, "Have you gained anything from visiting CERN's accelerator laboratory in the past two days?"
Chen Zhou thought for a while and said, "The most important thing about CERN is the network linkage of accelerators, which provides feasibility for various high-energy physics experiments."
"That's true." Friedman nodded slightly, and continued, "Actually, not only CERN is like this, but accelerator laboratories in the world basically follow this model."
"Because the particle energy required by some high-energy physics experiments is too high, it can only be increased step by step."
"For example, the particle collision experiment of the LHC. The protons in the two collider tubes each have an energy of 7TeV, and the total collision energy reaches a spectrum of 14TeV."
"Before the particles are incident on the main acceleration ring, they will go through a series of acceleration facilities to increase the energy step by step."
"Since you mentioned this, you should also know the accelerator that the particles pass through before the LHC collision experiment starts?"
Hearing Friedman's question, Chen Zhou said, "I don't know the details, but according to my deduction, it should be a proton synchrotron composed of two linear accelerators, which will generate 50 MeV of energy."
"Then, the proton synchrotron boosts the energy to 1.4GeV. The proton synchrotron can reach the energy of 26GeV. Finally, the super proton synchrotron can boost the energy of the protons to 450GeV."
"The rest, such as the antimatter decelerator, reduces the energy of the particles. It can decelerate the 3.57GeV antiprotons to 2GeV."
Speaking of this, Chen Zhou paused for a moment, and then continued: "LHC can also be used to accelerate the collision of heavy ions, for example, it can accelerate Pb ions to 1150TeV."
"When the LHC was in operation, the total energy in the magnets was up to 100 billion joules, and the total energy in the particle beam was up to 725 megajoules."
"Only about 7-10 total particle energies are needed to disengage the superconducting magnet from the superconducting state, thereby discarding all the accelerated particles."
"And all these accelerated particles that get thrown away can be roughly equivalent to a small explosion."
"As a result, the LHC poses extreme engineering challenges. CERN is extremely important in ensuring the safety of collider experiments."
When Chen Zhou said the last sentence, he looked at Friedman and said it.
Friedman naturally noticed Chen Zhou's little move.
He smiled and said, "You don't want to talk about the importance of safety, but the constraints of particle beams?"
Chen Zhou, who was exposed, didn't argue too much, he just smiled and said, "Professor, you still understand me."
Friedman laughed softly: "It's not that I understand you, it's just that the content you are interested in is often the difficult part."
After a pause, Friedman continued: "About the confinement of particle beams, there is not much in the accelerator. Now it is mainly in the field of controlled nuclear fusion, and we have been studying this issue."
Chen Zhou nodded lightly and didn't say anything more.
Friedman glanced at Chen Zhou, thought for a while, and didn't dwell on this issue, but continued to talk about CERN's accelerator laboratory.
"The biggest goal of CERN is the same as that of other accelerator laboratories. They all want to unravel the five mysteries including the origin of the universe."
"Over the past few decades, physicists have continued to deepen their understanding of the fundamental particles and interactions that make up the universe in detail."
"Although improved understanding has enriched the Standard Model of particle physics, there are still gaps in the model."
"In order to reveal these key unsolved mysteries in particle physics, a large amount of experimental data is needed, and the Large Hadron Collider has taken on the role of 'data provider'."
Having said that, Friedman looked up at Chen Zhou, and asked with a smile: "Chen Zhou, do you know what experiments CERN conducted using the LHC Large Hadron Collider to solve these mysteries?"
Chen Zhou thought for a while and replied: "If I remember correctly, a total of 6 international cooperative experiments should have been carried out, including two large-scale experiments, two medium-scale experiments and two small-scale experiments."
"The two large-scale experiments involve many fields of physics, including the search for the Higgs boson, extra dimensions, and the particles that make up dark matter. They are mainly for the search for new physics."
"The two medium-scale experiments are to study the nature and state of the quark-gluon plasma, which is also related to the glue ball, and to study the basic particles."
"As for the two small-scale experiments, they are designed to study the particles moving forward, focusing on the analysis of physical principles that are difficult to obtain through ordinary experiments."
"That's right!" Hearing Chen Zhou's words, Friedman's eyes showed admiration.
Chen Zhou has always been the point Friedman appreciates the most.
That is, the breadth and depth of knowledge will always advance simultaneously!
"So, from these research experiments, we can also clarify what questions CERN hopes to answer." Friedman added, "I believe this is also a good direction for you."
After hearing this, Chen Zhou finally understood what Friedman meant.
He also finally understood why Friedman came to him on his own initiative.
However, what Chen Zhou didn't expect was that Friedman brought him an unexpected surprise.
"LHC will make a hardware performance improvement in about 10 years to increase its brightness."
"The ideal path for upgrading the LHC would include increasing the flux of the particle beam and modifying the two regions that require high brightness. The toroidal instrument is matched with the two detectors, the compact muon coil."
"Then, the incident energy of the next-generation super large hadron collider will be increased to 1TeV. To this end, CERN will also upgrade the front incident device of the LHC, the super proton synchrotron and other devices..."
This news was something that Chen Zhou really cared about, but he didn't inquire about it.
But I didn't expect that now from Friedman's mouth, I got it.
This has a certain impact on Chen Zhou's future plans.
Friedman really helped Chen Zhou to straighten out the direction of physics research that he hadn't thought about yet.
This is the research direction brought about by CERN's historical research and future upgrades.
After Friedman left the room, a smile suddenly appeared on the corner of his mouth when he recalled the conversation between the two of Chen Zhou.
Looking at the content of the minimal model program on the table, Chen Zhou has found his own direction.
Mathematically, the minimal model program, which has contributed to the two Philippine Prize winners, will be his next research direction.
Physics is naturally still a topic in the field of high-energy physics, exploring the secrets behind particles.
Of course, there are also Chen Zhou's small thoughts in it, and it depends on which one makes progress first.
In other words, let's see which one will make Chen Zhou go all out first.
As for materials science, the innovative methods that have already started from Gumball will definitely continue.
That is to say, the three system tasks accepted by Chen Zhou respectively defined three research directions.
No, it should be four subject directions.
There is also the collider laboratory, which brings about the research direction of medical science...
Thanks to book friend Yan Hongxue for the 100 starting coins!
------------
PS: The time in the book has not reached 2018, so the Fields Medal winners in the field of the minimal model program do not include Professor Birka from Cambridge University.
(End of this chapter)
Opening the door, Chen Zhou was slightly taken aback when he saw the person coming.
Because in Chen Zhou's estimation, Friedman should come to talk to him when the academic exchange is about to end, not now.
"Professor Friedman, what do you want from me?" Chen Zhou asked Friedman while letting Friedman into the room.
"Hmm..." Friedman pondered for a moment before saying aloud, "I can't sleep at night, and I want to communicate with you."
Chen Zhou smiled softly when he heard the words, and said, "Professor, you can just call me no, there is no need for you to come and find me in person."
Hearing Chen Zhou's words, Friedman pouted and motioned him to look at his mobile phone.
Chen Zhou took out his phone strangely, unlocked it, and slid to the chat interface.
The moment the chat interface popped up, Chen Zhou was embarrassed.
Well, it's not that Ganqing didn't send me a message, it's that I didn't notice it at all.
This... is really a bit of an instant slap in the face...
"Ahem..." After coughing twice, Chen Zhou touched his nose with his hand and deliberately changed the subject, "Well, professor, did you come to me for the accelerator laboratory of CERN?"
Seeing Chen Zhou's appearance, Friedman smiled and pointed at Chen Zhou: "You boy, are you studying some difficult problem again? That's why you are so immersed in it?"
After speaking, Friedman was directly attracted by the messy stack of draft papers on the table in Chen Zhou's room.
Walking to the table, Friedman reached out and picked up a few pieces of draft paper, flipping through them one by one.
Chen Zhou also said at this time: "Professor, as you said and as you can see, I was really busy studying this mathematics topic just now."
Friedman put the draft paper back on the table, and said with some emotion: "Chen Zhou, to be honest, you are really a hard-working scholar I have ever seen."
"In mathematics, you have just solved Goldbach's conjecture for a short time, and you have devoted yourself to the research of the next mathematics topic so quickly. It is really hard to imagine."
"Even Wiles, who also proved Fermat's last theorem, I've heard that he had a moment of arrogance after that, and he left mathematics research for a while."
"What's more, you are not just a mathematician, you are still a physicist, and you are still conducting academic exchanges..."
The more Friedman talked, the more he felt that Chen Zhou was diligent, as if he himself regretted that he was not as diligent as Chen Zhou when he was young.
Hearing Friedman's words, Chen Zhou didn't feel anything.
Whether it is a mathematician, a physicist, or a person of various other professions.
There is no reason for an excellent person to lie on the existing credit book and wait for death.
If so, sooner or later you will lag behind the development speed of the world and eventually become an ordinary person.
It is even possible that, in the end, because the float is too high, it is not even as good as ordinary people.
The example of Shang Zhongyong has existed since ancient times.
Therefore, Chen Zhou said sincerely: "Professor, I am a person who can't be idle. Goldbach's conjecture is a thing of the past. I believe it will become Chen-Goldbach's theorem soon."
"So, I don't need to be immersed in the past. Only new goals can arouse my interest in mathematics. It is the same in physics. The glue ball has been discovered, but there are many other interesting things. "
Friedman raised his head slightly, looked at Chen Zhou, and said slowly: "This is probably the reason why you can achieve such remarkable achievements at this age."
Chen Zhou didn't speak, but just smiled.
After a while, Friedman suddenly realized something, and said apologetically: "Chen Zhou, I just read your research content without your consent, and I apologize to you."
Chen Zhou looked at Friedman in surprise.
To be honest, he really didn't think about it.
Moreover, not to mention that Friedman was his mentor, even if it was someone else who reached out to take a look at the two out of curiosity, Chen Zhou wouldn't mind too much.
Seeming to see Chen Zhou's thoughts, Friedman explained: "The content and results of academic research all have their own privacy. Without the permission of the owner, no one should wantonly peep."
"Perhaps you think my behavior just now is not a big deal, but what if I have done research on the minimal model program? What if I know a mathematician who studies in this field?"
"You have to know that the minimal model program has not yet been completely solved, and two Fields Medalists have already been produced in this field. Many mathematicians believe that this field will also produce new Fields Medalists. Winner..."
Because of his habitual closed-door research mode, Chen Zhou really didn't think much about this issue.
Now, as Friedman said, he feels that the protection he has adopted for the content of his research topic is really a bit too little.
In the simplest terms, before going to open the door, he should tidy up, or close the draft papers and cover them up.
However, Chen Zhou did not take any of these measures.
If Friedman is really as he said, then all the content on the draft paper has been exposed.
If he reveals it to mathematicians who have in-depth research on the minimal model program, it is unknown who the content on these draft papers will belong to.
"Professor, I see. I will pay attention to it in the future." Chen Zhou looked at Friedman and said softly.
Friedman nodded slightly: "I know that you are used to your own research mode, and you may be negligent in this regard, but as your ability becomes stronger and stronger, you have to believe that there will always be someone coveting your research results .”
After finishing speaking, Friedman did not wait for Chen Zhou to reply, but instead said, "I came to you tonight mainly to talk to you about the CERN accelerator laboratory. Have you ever thought about staying at CERN?"
Originally, after hearing Friedman's previous sentence, Chen Zhou was still thinking about whether his research results would be coveted by others, and how to prevent it.
As a result of the last sentence, Friedman began to ask him if he had ever thought about staying at CERN.
Chen Zhou only felt that Friedman's thinking was quite jumpy.
Unlike what others said, the thinking of the elderly is relatively slow.
After a brief astonishment, Chen Zhou did not hide from Friedman, and replied truthfully: "No, I never planned to stay at CERN."
With Chen Zhou's confirmation, Friedman didn't know whether to be happy or regretful.
Fortunately, Chen Zhou was not attracted by the words of Mitch Johnstone.
Unfortunately, from a long-term perspective, CERN should be the most suitable place for Chen Zhou.
Only a place like CERN can support a physics genius like Chen Zhou.
However, Friedman, who had already got the answer, did not struggle too much.
After such a long time of contact, Friedman already knows what kind of person Chen Zhou is.
Therefore, he believes that Chen Zhou, who is not at CERN, can still embark on a brilliant path.
However, this road may be more difficult.
Friedman said: "Chen Zhou, I know that you are a person with your own ideas, and you will implement them step by step according to your own ideas, so I hope you can embark on your own academic path."
Chen Zhou looked at Friedman and nodded slightly.
Friedman glanced at Chen Zhou with satisfaction, and then said, "Have you gained anything from visiting CERN's accelerator laboratory in the past two days?"
Chen Zhou thought for a while and said, "The most important thing about CERN is the network linkage of accelerators, which provides feasibility for various high-energy physics experiments."
"That's true." Friedman nodded slightly, and continued, "Actually, not only CERN is like this, but accelerator laboratories in the world basically follow this model."
"Because the particle energy required by some high-energy physics experiments is too high, it can only be increased step by step."
"For example, the particle collision experiment of the LHC. The protons in the two collider tubes each have an energy of 7TeV, and the total collision energy reaches a spectrum of 14TeV."
"Before the particles are incident on the main acceleration ring, they will go through a series of acceleration facilities to increase the energy step by step."
"Since you mentioned this, you should also know the accelerator that the particles pass through before the LHC collision experiment starts?"
Hearing Friedman's question, Chen Zhou said, "I don't know the details, but according to my deduction, it should be a proton synchrotron composed of two linear accelerators, which will generate 50 MeV of energy."
"Then, the proton synchrotron boosts the energy to 1.4GeV. The proton synchrotron can reach the energy of 26GeV. Finally, the super proton synchrotron can boost the energy of the protons to 450GeV."
"The rest, such as the antimatter decelerator, reduces the energy of the particles. It can decelerate the 3.57GeV antiprotons to 2GeV."
Speaking of this, Chen Zhou paused for a moment, and then continued: "LHC can also be used to accelerate the collision of heavy ions, for example, it can accelerate Pb ions to 1150TeV."
"When the LHC was in operation, the total energy in the magnets was up to 100 billion joules, and the total energy in the particle beam was up to 725 megajoules."
"Only about 7-10 total particle energies are needed to disengage the superconducting magnet from the superconducting state, thereby discarding all the accelerated particles."
"And all these accelerated particles that get thrown away can be roughly equivalent to a small explosion."
"As a result, the LHC poses extreme engineering challenges. CERN is extremely important in ensuring the safety of collider experiments."
When Chen Zhou said the last sentence, he looked at Friedman and said it.
Friedman naturally noticed Chen Zhou's little move.
He smiled and said, "You don't want to talk about the importance of safety, but the constraints of particle beams?"
Chen Zhou, who was exposed, didn't argue too much, he just smiled and said, "Professor, you still understand me."
Friedman laughed softly: "It's not that I understand you, it's just that the content you are interested in is often the difficult part."
After a pause, Friedman continued: "About the confinement of particle beams, there is not much in the accelerator. Now it is mainly in the field of controlled nuclear fusion, and we have been studying this issue."
Chen Zhou nodded lightly and didn't say anything more.
Friedman glanced at Chen Zhou, thought for a while, and didn't dwell on this issue, but continued to talk about CERN's accelerator laboratory.
"The biggest goal of CERN is the same as that of other accelerator laboratories. They all want to unravel the five mysteries including the origin of the universe."
"Over the past few decades, physicists have continued to deepen their understanding of the fundamental particles and interactions that make up the universe in detail."
"Although improved understanding has enriched the Standard Model of particle physics, there are still gaps in the model."
"In order to reveal these key unsolved mysteries in particle physics, a large amount of experimental data is needed, and the Large Hadron Collider has taken on the role of 'data provider'."
Having said that, Friedman looked up at Chen Zhou, and asked with a smile: "Chen Zhou, do you know what experiments CERN conducted using the LHC Large Hadron Collider to solve these mysteries?"
Chen Zhou thought for a while and replied: "If I remember correctly, a total of 6 international cooperative experiments should have been carried out, including two large-scale experiments, two medium-scale experiments and two small-scale experiments."
"The two large-scale experiments involve many fields of physics, including the search for the Higgs boson, extra dimensions, and the particles that make up dark matter. They are mainly for the search for new physics."
"The two medium-scale experiments are to study the nature and state of the quark-gluon plasma, which is also related to the glue ball, and to study the basic particles."
"As for the two small-scale experiments, they are designed to study the particles moving forward, focusing on the analysis of physical principles that are difficult to obtain through ordinary experiments."
"That's right!" Hearing Chen Zhou's words, Friedman's eyes showed admiration.
Chen Zhou has always been the point Friedman appreciates the most.
That is, the breadth and depth of knowledge will always advance simultaneously!
"So, from these research experiments, we can also clarify what questions CERN hopes to answer." Friedman added, "I believe this is also a good direction for you."
After hearing this, Chen Zhou finally understood what Friedman meant.
He also finally understood why Friedman came to him on his own initiative.
However, what Chen Zhou didn't expect was that Friedman brought him an unexpected surprise.
"LHC will make a hardware performance improvement in about 10 years to increase its brightness."
"The ideal path for upgrading the LHC would include increasing the flux of the particle beam and modifying the two regions that require high brightness. The toroidal instrument is matched with the two detectors, the compact muon coil."
"Then, the incident energy of the next-generation super large hadron collider will be increased to 1TeV. To this end, CERN will also upgrade the front incident device of the LHC, the super proton synchrotron and other devices..."
This news was something that Chen Zhou really cared about, but he didn't inquire about it.
But I didn't expect that now from Friedman's mouth, I got it.
This has a certain impact on Chen Zhou's future plans.
Friedman really helped Chen Zhou to straighten out the direction of physics research that he hadn't thought about yet.
This is the research direction brought about by CERN's historical research and future upgrades.
After Friedman left the room, a smile suddenly appeared on the corner of his mouth when he recalled the conversation between the two of Chen Zhou.
Looking at the content of the minimal model program on the table, Chen Zhou has found his own direction.
Mathematically, the minimal model program, which has contributed to the two Philippine Prize winners, will be his next research direction.
Physics is naturally still a topic in the field of high-energy physics, exploring the secrets behind particles.
Of course, there are also Chen Zhou's small thoughts in it, and it depends on which one makes progress first.
In other words, let's see which one will make Chen Zhou go all out first.
As for materials science, the innovative methods that have already started from Gumball will definitely continue.
That is to say, the three system tasks accepted by Chen Zhou respectively defined three research directions.
No, it should be four subject directions.
There is also the collider laboratory, which brings about the research direction of medical science...
Thanks to book friend Yan Hongxue for the 100 starting coins!
------------
PS: The time in the book has not reached 2018, so the Fields Medal winners in the field of the minimal model program do not include Professor Birka from Cambridge University.
(End of this chapter)
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