Chapter 228 The experimental prediction made by Wang Hao... actually came true
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When the research and development direction is found, research can begin.
Wang Hao was not in a hurry to do research. He still cared about the students. Because he wanted to do research with the students and at least let them understand the Yang-Mills theory, he specially set aside half a month's homework.
'.
The assignment content consists of some difficult basic knowledge, and also includes a short paper on related research.
"You try to understand this information. Quantum mechanics covers a wide range of topics, but we only study it from a mathematical perspective, not physics."
"This is important."
"Mathematics is the foundation. You don't need to understand quantum mechanics in depth, or the more complex standard model of particles, but you need to understand the mathematical basis..."
Wang Hao explained patiently, and he also praised Ding Zhiqiang in particular, "Inspiration is very important when doing research. Ding Zhiqiang is very good in this aspect. Many of his ideas are sudden, but they are very important."
"When you do research alone in the future, you should also pay attention to every idea. Maybe an accidental idea can make a breakthrough in your research."
“In this regard, you need to have a discovery mindset. Don’t be limited by your knowledge, especially not by ‘correct knowledge’. You must dare to question.”
Wang Hao talked about some of his own experiences and then ended the course.
The students took the materials and left.
Ding Zhiqiang walked at the back. He looked at the information in his hand and felt very depressed.
Years ago, he completed the study of algebraic geometry, and his life was just like other first-year graduate students, studying in class normally.
Perhaps in the eyes of other students, it is not easy to understand the knowledge in class and it takes up most of the day.
Ding Zhiqiang felt very relaxed.
This has been the most relaxing time in the past three years.
Every night, he still has two or three hours of free time, which makes it even easier on weekends. Last weekend, he even slept until half past ten in the morning.
This is simply a dream-like life.
He found the sense of ease he once had, but now the ease was over again. The pile of information in his hands was enough to take up most of his free time.
"Life is so difficult!" Ding Zhiqiang thought depressedly.
Studying every day is not the most uncomfortable thing. The most uncomfortable thing is that others always urge him to study.
When he came home during the winter vacation, the first thing he heard from his mother when he entered the door was, "Why are you back? Didn't you say you were very busy? I thought you wouldn't come back this year."
The next step is, "Your father and I both know that your mentor is Wang Hao, Xiaoqiang. With such a good opportunity, you must give our family a voice and become a great scientist in the future!"
Ding Zhiqiang was filled with tears as he listened. He really didn't want to be a great scientist!
…
Wang Hao began to do research seriously.
The Yang-Mills equation is a nonlinear partial differential equation, but each type of nonlinear partial differential equation can be said to be a new research project, and the original research cannot be copied rigidly.
His research on the NS equation is very in-depth, but he can only use related methods to approximate the Yang-Mills equation.
"What's the point of approximate solution?" Wang Hao thought and shook his head.
If it is infinitely approximate to a certain set of exact solutions, the solution is still meaningful, but because it is an approximate solution after all, subsequent analysis of the physical properties is very difficult.
"However, it is difficult to analyze the physical properties of any set of solutions."
Wang Hao still feels that he is affected by the content of quantum physics. What he wants to do is to study it in a purely mathematical way and not be affected by the content of the physical direction.
He kept thinking.
This time I am not stuck in the office, doing research as if in retreat, my life is still normal.
Lin Bohan came over.
The new semester has begun, project funds have been allocated, and Lin Bohan has also received a bonus. Naturally, he is very active in research. He spent a lot of time thinking about the next step of research, and came to Wang Hao to express his views.
Lin Bohan entered the office, sat on the sofa and said, "We can start with something simple, for example, the simplest compound composed of two different atoms."
"The microscopic morphology created in this way is certainly much more complex than a single atom, but it can also be gradually improved."
"Our definition of semi-topology is also based on this basis, just like the new geometry we have studied."
"Let's discuss it step by step..."
This is what Lin Bohan thought of.
The new geometry content published by Wang Hao only targets single-element substances, such as aluminum, gold, copper, etc.
Because it only targets single-element substances, the new geometry is not suitable for more complex compounds.
Their research direction was to establish a semi-topological system to cover the microscopic morphological structure of complex materials, but the research encountered problems and they could not figure out how to proceed next.
If we just expand the difficulty a little bit and only discuss the simplest compound composed of two different atoms, the complexity will definitely increase a lot, but it will not reach the point where it cannot be solved.
Lin Bohan's proposal is still very valuable.
Wang Hao shook his head and said, "It would indeed become easier if it were only expanded to two different atoms, but the problem we are encountering now is not difficult or simple."
He continued, "The microscopic morphology can also be understood as the topological magnetic magnetic chain in condensed matter physics. The nodes of this topological morphology are not necessarily based on molecules."
"In other words, when forming a topological magnetic chain, the same molecule may be connected to other molecules at different points."
"This is the main reason for the complexity."
In fact, the explanation is very simple. For example, the microscopic structure of the molecule ab composed of 'a' and 'b' is not necessarily ab-ab-ab-ab..., it may also be aba-bba-abb-baa...
….
It is precisely because individual molecules may not be at the same node in the microscopic morphology that the shaping of the microscopic morphology becomes very complicated.
Even a microscopic form composed of only two elements may undergo countless changes.
Wang Hao continued, "Whether it is two elements, three elements, or more elements, there is essentially no difference."
"Because of this, I said that I would only do research from the direction of mathematics."
"Now I'm even more sure of it."
Wang Hao stood up and walked around and said, "I have a student named Ding Zhiqiang. You should have seen him, right?"
"He reminded me and made me realize that sometimes mathematics and physics need to be separated."
"If mathematics and physics are combined, then we should find one physicist to join the project, instead of several of us conducting research, and the problem will become very, very complicated."
"So for this research, we no longer consider physical issues, but only consider shaping new topological definitions, and only consider shaping a new topological system based on algebraic geometry."
"If we want to move to the study of microscopic morphology in the future, we will use the defined framework to conduct specific research on it."
"Mathematical theory is the most important."
"As long as we lay a solid theoretical foundation, no matter how complex the microscopic morphology is, it is just an application..."
Wang Hao explained his thoughts.
This statement will definitely be recognized by the mathematics community. Many mathematicians think so, especially mathematicians who do pure mathematics research.
Pure mathematics is the basis of mathematics.
Only with a large amount of pure mathematics research can we lay a solid foundation for applied mathematics and be closely connected to real applications.
From pure mathematics to applied mathematics, and then to real-life applications, between pure mathematics and real-life applications, there is 'applied mathematics'. Because of this, many people think that 'pure mathematics' is meaningless because it is closely related to real-life applications.
Decoupling.
Actually, this is not the case.
Without the research of pure mathematics, the development of applied mathematics would lack a foundation.
In fact, what Wang Hao said is not profound, it is just the basis of mathematical understanding.
Many people can say the same thing.
Lin Bohan can also say it.
But being able to say it and being able to think about it when doing it are completely different concepts.
Lin Bohan felt a sudden enlightenment. He had always understood this truth, but when he really devoted himself to research, he could not help but be connected to superconducting, continuous superconducting materials and other contents.
He found that he really should expand his thinking, and it was Wang Hao who really achieved "applying theory to research."
After leaving Wang Hao's office, Lin Bohan happened to bump into Ding Zhiqiang. He couldn't help giving a thumbs up to Ding Zhiqiang and praised, "Awesome!"
"What?"
Ding Zhiqiang was immediately confused.
He feels like he has done nothing but is always praised as "awesome".
"What's so great about it? Isn't it okay if I change it?" He looked at the information in his hand and felt like crying.
the other side.
Wang Hao continued to study the equations and talked with Lin Bohan about the research issues. He had already felt the 'complexity' that Qiu Chengwen said.
He was talking about algebraic geometry and topology just now, but when he switched to research, he turned to the Yang-Mills equation. The two are completely different fields.
When he turned back again, he even felt a little uncomfortable and couldn't help but sigh, "You still have to concentrate!"
He decided to 'retreat'.
If he is constantly interrupted, it will be difficult for him to concentrate on his research.
Wang Hao hung a 'Do Not Disturb' sign on the door.
This is the first time.
It used to be in the director's office on the fourth floor of the Computer Laboratory Building, but now it has become the director's office of the Mason Mathematical Sciences Laboratory.
When the Do Not Disturb sign is put up, the world seems to be quiet.
Wang Hao also began to study intently.
He cleared his mind and no longer considered quantum physics or even other subjects of mathematics. He just analyzed the Yang-Mills equation and analyzed nonlinear partial differential equations.
When he really got involved, he found that everything seemed to suddenly become clearer.
In the field of nonlinear partial differential equations, his research is very in-depth, and there are many methods that can be used. Of course, the methods are not necessarily useful, but you can also try them one by one instead of sitting around without ideas.
In the continuous analysis and research, the inspiration value is also constantly improving.
This shows that the research direction is correct.
After three days of research, Wang Hao was still stuck on a problem. After a long period of no progress, he walked out of the office.
He walked around the campus.
While walking around the campus, it was also a kind of relaxation for the body and mind. He passed by the laboratory building of the School of Science, and suddenly thought that he had not been here for a long time, so he simply walked in.
He entered the large office in the laboratory building and saw Zhou Qingyuan who was busy.
Zhou Qingyuan was surprised to see Wang Hao, "Why are you here?"
"Come here and take a look." Wang Hao asked with a smile, "Teacher Zhou, what are you doing?"
Zhou Qingyuan smiled and said, "It's not a project of your laboratory yet, just a few calculation problems."
Wang Hao took a look at it with interest and found that it was a computational solution to several dynamics problems.
"Please help me see if the calculation is correct." Zhou Qingyuan said.
Wang Hao picked up the manuscript paper on the table and read the contents on it carefully.
When Zhou Qingyuan asked Wang Hao to look at it, he didn't feel anything. When Wang Hao actually picked it up and looked at it, he suddenly felt nervous.
It was like a primary school student finishing a question and being checked by the teacher for correctness and error.
The atmosphere in the office has become very strange.
Zhou Qingyuan felt this strangeness, maybe it was his own psychological effect, but when he thought about it carefully, he smiled bitterly. A few years ago, he would not have had such an idea at all.
The Wang Hao now in front of him has been recognized as a top expert in the field of partial differential equations, and one can also add that "no one can compare".
The calculations he made were checked by Wang Hao, just like a teacher checking a student's homework.
"Alas~~"
Zhou Qingyuan couldn't help but sigh. On one hand, he was happy for Wang Hao's achievements, but on the other hand, he lamented that he had not improved for so many years.
Wang Hao took a closer look and found that there was no problem. There was an equation that was substituted into the result to solve. Both sides of the equation were very approximate.
In fact, some of the calculations related to the project do not need to be so precise, and a certain deviation range is allowed. Obviously Zhou Qingyuan was very patient in doing so.
"You are much better at calculation than me." Wang Hao put down the things in his hands and praised.
Zhou Qingyuan immediately laughed and waved his hands quickly, "How can I compare to you?"
"It's indeed very accurate."
Wang Haodao, "This kind of unsolvable partial differential equation can actually be solved by using numerical substitution methods. There is no need to do such precise analysis."
He suddenly stopped as he spoke, and muttered several words in succession, "Accurate..."
"Accurate? Accurate!"
"yes!"
Wang Hao suddenly felt enlightened and knew what to do.
…
Where previous research got stuck was in the uncertainty of analysis.
In fact, the key lies in accurate calculation, rather than mainly doing complex analysis. The calculation of relevant parameters is more accurate, and you can rely on the results for subsequent analysis.
In this way, the accuracy of analysis is improved.
Wang Hao immediately returned to the office and continued to do research. He even forgot to have lunch. When Xu Jie came to deliver the meal, he just raised his head and said, "Put it there."
Then just get on with your work and put the matter behind you.
He worked until four o'clock in the afternoon, when he stretched out and looked at the results on the manuscript paper with a somewhat uncertain expression.
He analyzed a range solution and attached a set of equations.
What's the point?
Wang Hao glanced at the system tasks again and found that the inspiration value of 'Task One' had reached 18 points.
With the experience of the previous S+ level mission, he knew very well that '20' point was a stage. If the inspiration value could reach 18 points, it meant that his idea was OK.
The formulas he analyzed and the "somewhat unreliable" range solutions must have some physical meaning.
But what exactly is it?
Now that the inspiration value has reached the '18' point, it has not yet reached the '20' point, which means that the remaining work is to analyze the physical meaning of the results.
But the problem is that the range solution is unreliable.
The parameter data has a range of ‘-0.38~0.38’.
‘-0.38’, negative values are the key issue.
Although he did not analyze the physical properties, he was very clear that this range of parameters probably represented a certain force or a certain property.
How can any existing force or property have a negative range?
Is it a set of meaningless results?
"impossible!"
"It must mean something!" Wang Hao frowned and studied it carefully.
If you want to analyze the physics of the conclusions drawn, you must look carefully from beginning to end. Every parameter of the equation is meaningful at the beginning. In the process of continuous transformation and analysis, the meaning of the representation is also constantly changing.
This is a complex logical analysis process that also involves a lot of quantum physics.
Wang Hao slowly conducted research, going deeper bit by bit, and even spent more time than analyzing the equations.
For the next week, he was bored in the office doing research, and the content he wrote was piled up in a thick pile.
But the intensive research yielded no results.
Including column formulas and other parameters, the content can be analyzed, but it is still unclear what the values of ‘-0.38~0.38’ represent.
Loss of power?
Disappearance of energy?
Why?
Wang Hao couldn't understand it at all, so he simply stopped thinking about it and started working normally.
He opened his mailbox and checked the mail.
The communication with Bill Carr also stopped for a week, and communication still needs to be maintained. Even if there is no progress in research, just accumulating ideas is also a kind of progress.
After opening his mailbox, he found an email from Didier Mayor, which said, "Wang Hao, my team and I have been thinking about how to verify your theory through experiments.
, specially conducted a series of data analysis work, hoping to find evidence that the annihilation force works in terms of energy loss.
Unfortunately, nothing was found.
Today a new round of large-scale experiments is about to begin, and I really look forward to making new discoveries!"
The new round of large-scale experiments refers to the test experiments of the restart of the European particle collider.
The European Particle Collider has been significantly upgraded, and its performance has been greatly improved. It is said that the brightness of the experiment can be increased by more than seven times.
Now it is the first large-scale experimental test, and many participating countries have sent teams to participate.
Wang Hao did not consider the particle collision experiment. He read the letter carefully and felt that Didier Mayor was really a good person. He actually put a lot of energy into verifying the annihilation theory and even sent himself a special message.
Got an email.
"Analyzing experimental data, hoping to find evidence of the existence of annihilation force in energy loss?"
"This idea..."
Wang Hao still shook his head. Even he didn't know whether the mass-energy equation could still work when the annihilation force took effect.
Is the unit of mass directly annihilated, or is it annihilated and turned into energy?
This is a problem.
He responded to Mayor with an email, wrote a few words of thanks, and wished the other party good luck in his work.
After sending the email, he suddenly froze, "Yes, annihilation theory!"
[Task 1, inspiration value +2.]
[Inspiration value: 20.]
"That's enough for twenty!"
Wang Hao suppressed the excitement in his heart, knowing that he had found a definite direction of analysis.
The value of '-0.38~0.38' looks really weird, and it feels like it has no meaning at all. It is different if it is based on the premise of 'the existence of annihilation force'.
The previous analyzes he did relied on existing theories, but the Standard Model of Particles was not perfect, and the analysis he could make was limited.
As the premise of "the existence of annihilation force", there is an additional very important condition.
‘-0.38~0.38’ is very meaningful.
Negative or zero values most likely represent missing mass or energy.
Then, new problems appeared.
"Even if it represents a lack of mass or energy, so what?"
Wang Hao frowned and thought.
He immediately checked the latest particle physics research, including research reports related to the discovery of the Higgs boson and neutrino, and based on the published particle collision experimental data, he immediately began to make similar calculations.
Another week has passed.
Wang Hao was just bored in the office, constantly doing calculation work. The only place he went to was the central laboratory, where he used the laboratory's server to do calculations and analysis, and would continue his research when he came back.
No one else knew what Wang Hao was doing, they just knew it was related to the study of the Yang-Mills equation.
Equation study?
Why use a server?
And when I was doing research on equations, I seemed to be very busy and did a lot of calculations that I couldn’t understand?
Wang Hao continued to be immersed in work, until one day he finally came up with a result--
85GeV~260GeV.
Looking at the calculated values, he took a breath and couldn't help but smile, but then shook his head helplessly.
This is an energy range calculated based on particle collision experiment data, reports, and your own research results.
Now he has come to the conclusion that ‘when the data is large enough, there will be numerical anomalies in the range of 85GeV~260GeV’.
This anomaly represents a data gap.
The simple understanding is that during the particle collision experiment, some newly generated particles 'jumped away' from the '85GeV~260GeV energy range'.
If we do experimental statistics, there are very few data in the energy range of 85GeV~260GeV.
Wang Hao's understanding is only that 'the effect of annihilation force on particles' is just like using a force to push objects. In the energy range of 85GeV~260GeV, the annihilation force plays a relatively large role, and many particles are pushed away.
This conclusion seems to make little sense.
Because the premise is ‘huge enough data’. How big is big enough?
He himself has no definite concept.
Wang Hao looked at the results with some hesitation. Because the analysis was based on the premise of "the existence of annihilation force", he felt that it was a "fake" type of research, and there was no point in submitting it.
However, it seems a bit wasteful not to publish the results of nearly twenty days of research.
He briefly organized the content, and then wrote a rough introduction, which he published on his personal blog with the title "85GeV~260GeV energy interval problem".
"Just think of it as a small study. Although it is meaningless, it may be helpful for subsequent research."
Wang Hao thought.
After working continuously for twenty days, he still wanted to take a break, so he went out for exercise and went for a run.
at the same time.
Many people have also noticed Wang Hao’s latest blog content.
Some media also reprinted the report, but it did not cause any waves at all, because the blog content was very illusory. The content was to conduct a study of the Yang-Mills equation, and then derive the 85GeV~260GeV energy range, which may detect some abnormal problems.
.
Is this exception a ‘data gap’?
Many people on the Internet also started discussing, "What is the latest research of Wang Hao?"
"It seems to be related to the Yang-Mills equation, but why did it suddenly switch to the particle collision experiment and directly say that there is an abnormality in the energy range?"
"Data void? What does this mean!"
"It seems difficult to understand..."
"I don't understand it at all, but Wang Hao doesn't seem to have posted all the research."
"..."
The domestic discussion ends here.
Some foreign academic media also reprinted the blog messages posted by Wang Hao. The situation was very similar to the domestic situation, but a few people looked at it and then stopped caring.
This is perhaps the content that has received the least attention among Wang Hao’s blog posts.
Time makes people forget what happened.
Half a month later, everyone had forgotten about it, as if there was no blog update at all.
The same goes for Wang Hao himself. He re-researched the topology definition issue with Lin Bohan. He also continued to exchange emails with Bill Carr, and agreed with him to come to Xihai University early next month.
Things seemed to be completely over.
Until this day.
The ATLCS independent research group at CERN released news related to the latest experimental research.
In their latest experimental data analysis work, they discovered that there is a strange phenomenon suspected of being a 'data gap' in the energy range of 90GeV~270GeV.