Once the direction of R&D has been found, the research can begin.

Wang Hao was not in a hurry to do research, he still took good care of the students, because he wanted to do research with the students, at least let them understand the Yang-Mills theory, he specially set aside half a month's homework.

The assignment consists of some difficult basic knowledge and a short essay on related research.

"You try to understand the material, quantum mechanics has a wide range, but we are only looking at it from a mathematical point of view, not physics."

"It's important."

"Mathematics is the foundation. You don't need to have a deep understanding of quantum mechanics, or the more complex Standard Model of particles, but you need to understand the mathematical underpinnings of it......"

Wang Hao patiently explained, and he also praised Ding Zhiqiang in particular, "Doing research, inspiration is very important, Ding Zhiqiang has done a good job in this regard, there are many ideas that are sudden, but very important." ”

"In the future, when you do research alone, you should also pay attention to every idea, maybe accidental ideas, can make a breakthrough in your research."

"In this regard, you must have a discovery mindset, don't be limited by your knowledge, especially don't be limited by those 'correct knowledge', and dare to question."

Wang Hao said some of his own experiences, and then ended the course.

The students took the materials and left.

Ding Zhiqiang walked at the back, and he felt very depressed when he looked at the information in his hand.

A few years ago, he completed the study of algebraic geometry, and his life was just the same as that of other first-year students.

Perhaps it seems to other students that it is not easy to understand the knowledge in class, taking up most of the day.

Ding Zhiqiang felt very relaxed.

It's been the easiest time in nearly three years.

In the evenings, he still has two or three hours to spare, and on weekends he is even more relaxed, and last weekend he even slept until half past ten in the morning.

It's a dreamlike life.

He found the sense of ease he once had, but now the ease was over, just a lot of information in his hand, enough to take up most of his free time.

"Life, it's so hard!" Ding Zhiqiang thought depressedly.

Studying every day is not the most uncomfortable, the most uncomfortable thing is that others are always pushing him to study.

When he came home from winter vacation, the first thing he heard when he entered the door was, "Why are you back?" Didn't you say it's busy? I thought you weren't coming back this year. ”

The next thing is, "Your father and I both know, your mentor is Wang Hao, Xiaoqiang, you have such a good opportunity, you must fight for our family, and become a big scientist in the future!"

Ding Zhiqiang listened with tears in his heart, he really didn't want to be a big scientist!

......

Wang Hao began to do serious research.

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.

He has studied the NS equation in depth, but he can only approximate the Yang-Mills equation by using relevant methods.

"What's the point of approximating the solution?" Wang Hao shook his head thoughtfully.

If it is an infinite approximation of a certain set of exact solutions, it still makes sense to solve it, but because it is an approximate solution after all, it is difficult to analyze the physical properties in the future.

"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, and what he wants to do is to study in a purely mathematical way, so as not to be affected by the content of physics.

He kept thinking.

This time it's not like I'm in the office, doing research like a retreat, and life is still normal.

Lin Bohan came over.

The new semester has begun, the project funds have been allocated, Lin Bohan has also received a bonus, naturally very positive about research, he spent a lot of time thinking about the next step of research, so he came to Wang Hao to say his opinion.

Lin Bohan entered the office, sat on the sofa and said, "We can start with the simple, for example, the simplest compound composed of two different atoms. ”

"The microscopic morphology created in this way is certainly much more complex than that of a single atom, but it can also be improved slowly."

"We define semi-topology on this basis, just like the new geometry we have developed."

"Step-by-step discussion......"

This is the method that Lin Bohan thought of.

Wang Hao's new geometric content is only aimed at single-element substances, such as aluminum, gold, copper, etc.

Because it is only for single-element substances, the new geometry is not suitable for more complex compounds.

Their research direction is to establish a semi-topological system to cover the microscopic morphological structure of complex materials, but their research has encountered problems and they can't think of what to do next.

If we just take the difficulty up a little bit and discuss only the simplest compound composed of two different atoms, the complexity will certainly increase a lot, but not to the point where it cannot be solved.

Lin Bohan's proposal is still very valuable.

Wang Hao shook his head and said, "If it is only extended to two different atomic compositions, it will indeed become easier, 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 condensate physics, and the nodes of this topological morphology are not necessarily numerator-based. ”

"In other words, when forming a topological magnetic chain, it is also possible that the same molecule may be linked to different points from other molecules."

"That's the main reason for the complexity."

In fact, it is very simple to explain, for example, the composition of the molecule AB composed of "A" and "B", the composition of the microscopic form is not necessarily ab-ab-ab-ab......, but it may also be the ....... of aba-bba-abb-baa.

It is precisely because the individual molecules are likely not at a node in the microscopic morphology that the shaping of the microscopic morphology becomes very complex.

Even if there are only two elements in a microscopic form, there can be countless variations.

Wang Hao continued, "Whether it is two elements, three elements, or more elements, there is no difference in nature. ”

"That's why I said I would only do research in the direction of mathematics."

"Now I'm more sure of that."

Wang Hao stood up and paced and said, "I have a student named Ding Zhiqiang, you should have seen it, right?"

"He reminded me that sometimes, math and physics have to be separated."

"If you combine math and physics, then we should have a physicist to join the project, instead of a few of us doing research, and the problem will become very, very complex."

"Therefore, for this research, we no longer consider physical problems, only consider shaping a new topological definition, and only consider shaping a new topological system based on algebraic geometry."

"If we want to move on to the microscopic morphology study in the future, we will use a defined framework to study it specifically."

"Mathematical theory is the most important thing."

"As long as we lay a good foundation for theory, no matter how complex the microscopic form is, it is only an application........

Wang Hao explained his thoughts.

This statement will definitely be recognized by the mathematical community, and many mathematicians think so, especially those who do pure mathematical research.

Pure mathematics is the foundation of mathematics.

With a large amount of pure mathematical research, the foundation of applied mathematics will be laid, and it will be closely linked to real applications.

From pure mathematics to applied mathematics, and then to practical applications, between pure mathematics and practical applications, there is also an 'applied mathematics,' and because of this, many people think that 'pure mathematics' is meaningless, because it is seriously decoupled from practical applications.

Actually, it's not.

Without the study of pure mathematics, the development of applied mathematics lacks a foundation.

In fact, what Wang Hao said is not profound, but only the basis of mathematical understanding.

A lot of people can say the same thing.

Lin Bohan can also say it.

But being able to say it and think of it when doing it is not the same concept at all.

Lin Bohan has a feeling of enlightenment, he has always understood this truth, but when he really devotes himself to research, he still can't help but associate with superconductivity, continuity to superconductor materials and other content.

He found that he really should expand his thinking, and Wang Hao really applied the theory to his research."

After leaving Wang Hao's office, Lin Bohan happened to run into Ding Zhiqiang, and he couldn't help but give Ding Zhiqiang a thumbs up and praise, "Amazing!"

"What?"

Ding Zhiqiang was suddenly confused.

He felt like he wasn't doing anything, but he was always complimented on his awesomeness

"What's so bad? I change it, can't I do it?" He looked at the information in his hand and wanted to cry without tears.

The other side.

Wang Hao continued to do the study of equations, and talked with Lin Bohan about the research problem, and he already felt the "complexity" that Qiu Chengwen said.

He was still talking about algebraic geometry and topology, but when he turned to the study, it became the Yang-Mills equation, which is a completely different field.

When he turned back again, he was even a little uncomfortable, and couldn't help but sigh, "You still have to concentrate!"

He decided to 'retreat.'

If he is constantly disturbed, it is not easy for him to concentrate on his research.

Wang Hao hung a 'Do Not Disturb' sign at 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 Science Laboratory.

When you put up a Do Not Disturb sign, the world seems to be quiet.

Wang Hao also began to focus on research.

He emptied his mind and no longer considered quantum physics, or even other disciplines of mathematics, but only analyzed nonlinear partial differential equations for the Yang-Mills equation.

When he really got into it, he found that everything seemed to be clear.

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 they can also be tried one by one, rather than sitting still without ideas.

In the continuous analysis and research, the inspiration value is also increasing.

This shows that the research direction is correct.

After three days of research, Wang Hao was still stuck in a problem, and after no progress for a long time, he still walked out of the office.

He walked around the campus.

While pacing around the campus, it was also a kind of relaxation for the body and mind, he passed by the laboratory building of the Faculty of Science, and suddenly thought that he hadn't come for a long time, so he simply walked in.

He entered the large office of the laboratory building and met Zhou Qingyuan who was busy.

Zhou Qingyuan was surprised when he saw Wang Hao, "Why are you here?"

"Come here." Wang Hao smiled and asked, "Teacher Zhou, what are you doing?"

Zhou Qingyuan said with a smile, "It's not a project in your lab yet, a few calculation problems. ”

Wang Hao took a look with interest and found that it was the calculation and solution of several dynamic problems.

"You can help me see if it's right." Zhou Qingyuan said.

Wang Hao picked up the manuscript paper on the table and looked at the content carefully.

When Zhou Qingyuan asked Wang Hao to help take a look, he didn't feel anything, but when Wang Hao really picked it up and looked at it, he suddenly felt nervous.

It's like an elementary school student being checked right or wrong by a teacher after completing a question.

The atmosphere in the office became eerie.

Zhou Qingyuan felt this weirdness, maybe it was his own psychological effect, but after thinking about it carefully, he smiled bitterly, if it was a few years ago, he would not have this kind of thought at all.

Now Wang Hao in front of him has been recognized as a top expert in the field of partial differential equations, and he can add a sentence "no one can compare".

The calculations he made were checked by Wang Hao, and it was indeed like a teacher checking a student's homework.

"Ah~~"

Zhou Qingyuan couldn't help sighing, on the one hand, he was happy for Wang Hao's achievements, and on the other hand, he also sighed that he had not improved for many years.

Wang Hao took a closer look and found that there was no problem, there was an equation substituted for the result to solve, and the two sides of the equation were already very approximate.

In fact, some of the project-related calculations do not need to be done so finely, and a certain deviation range is allowed, and it is obvious that Zhou Qingyuan is very patient.

"You're much better than me." Wang Hao put down the things in his hand and sighed.

Zhou Qingyuan suddenly laughed, and hurriedly waved his hand and said, "How can it compare to you?"

"It's really accurate."

Wang Hao said, "This kind of unsolvable partial differential equation can be substituted into the numerical method in its practical use, and there is no need to do such an accurate analysis." ”

He stopped talking suddenly, and muttered several words in a row, "Precise ......"

"Precise? Precise!"

"That's right!"

Wang Hao suddenly felt enlightened, and he knew what to do.

......

Where the previous research got stuck was the uncertainty of the analysis.

In fact, the key lies in accurate calculations, rather than mainly doing complex analysis, and the more accurate the calculation of relevant parameters, the subsequent analysis can be done based on the results.

In this way, the accuracy of the analysis is improved.

Wang Hao immediately returned to the office to continue his research, he even forgot to eat lunch, Xu Jie just looked up and said, "Put it there."

And then just get back to work and leave things behind you as well.

He worked until four o'clock in the afternoon, when he sounded stretched, looking at the results on the manuscript paper, but his expression was a little uncertain.

He analyzes a range solution with a set of columnar formulas.

What's the point?

Wang Hao glanced at the system task again and found that the inspiration value of "Task 1" reached 18 points.

With the experience of the last S+-level mission, he knows very well that '20 points are a stage, and if the inspiration value can reach 18 points, it means that his thinking is fine.

The columnar formula and the 'somewhat unreliable' range solution that he analyzed must have some kind of physical significance.

But what is it?

Now that the inspiration value has reached '18, points, and has not yet reached '20, points, it means that the rest of the work is to analyze the physical meaning of the results.

But the problem is that the range solution is not reliable.

Among the parameter data, there is a range of '-0.38~0.38.

'-0.38,, negative values are the key problem.

Although he did not analyze the physical properties, he was well aware that this range of parameters probably represented a certain force or a certain property.

How can any force or property that exists produce a negative range?

Is it a set of meaningless results?

"Impossible!"

"It definitely means something!" Wang Hao frowned and studied it carefully.

If you want to analyze the physics that you have reached a conclusion, you must look carefully from beginning to end, and every parameter of the equation is meaningful in the first place.

In the process of continuous transformation and analysis, the meaning of representation is also constantly changing.

This is a complex logical analysis process, and it also involves a lot of quantum physics.

Wang Hao slowly carried out the research, little by little, and spent more time than the analysis of the equation.

For the next week, he spent the next week doing research in his office, just writing out a thick stack.

But the stuffy research didn't pay off.

Including the column formula and other parameters, the content can be analyzed, but the value of '-0.38~0.38, it is still not clear what it represents.

The disappearance of force?

The disappearance of energy?

Why?

Wang Hao couldn't figure it out at all, he simply didn't think about it anymore, but worked normally.

He opened his mailbox and checked it.

The communication with Bill Carr also stopped for a week, and the communication still had to continue, even if there was no progress in the research, but just accumulating ideas, it was also a kind of progress.

After opening the mailbox, he found an email from Didier Mayor, which contained a paragraph, "Wang Hao, my team and I have been thinking about how to verify your theory through experiments, and have done a series of data analysis work, hoping to find evidence that annihilation works in terms of energy loss."

It's a pity that nothing was found.

A new round of large-scale experiments is about to start today, and I really look forward to new discoveries!"

The new round of large-scale experiments is talking about the test experiment of the restart of the European Particle Collider.

The European Particle Collider has been greatly upgraded, and its performance has been greatly improved, and it is said that the experimental brightness can be increased by more than seven times.

Now it's the first large-scale experimental test, and many of the participating countries have sent teams to participate.

Wang Hao didn't think about the particle collision experiment, he looked at the letter carefully, and felt that Didier Mayor was really a good person, and he really put a lot of energy into verifying the theory of annihilation, and even sent himself an email.

"Do experimental data analysis, hoping to find evidence of the existence of annihilation force in energy loss?"

"The idea ......"

Wang Hao still shook his head, even he didn't know if the mass-energy equation could still play a role when the annihilation force was in effect.

Is the unit of mass directly annihilated, or is it annihilated into energy?

That's a problem.

He sent an email back to Mayor, writing a few words of thanks and wishing him well in his work.

After sending the email, he was suddenly stunned, "That's right, annihilation theory!"

[Task 1, inspiration +2.] 】

[Inspiration value: 20.] 】

"It's twenty o'clock!"

Wang Hao suppressed the excitement in his heart and knew that he had found a definite direction for analysis.

The value of -0.38~0.38 does look weird, and it doesn't feel meaningful.

In the past, he had relied on existing theories, but the Standard Model of Particles was not perfect, and the analysis that could be made was limited.

The existence of annihilation is a prerequisite for the existence of annihilation, and there is a very important condition.

'-0.38~0.38,, it makes a lot of sense.

A negative or zero value is likely to represent a lack of mass or energy.

Then, new problems arose.

"What if it means a lack of mass or energy?"

Wang Hao frowned and thought.

He immediately checked the latest particle physics research, including the research reports related to the discovery of the Higgs boson and neutrino, and then based on the published particle collision experiment data, he immediately began to make similar calculations.

Another week passed.

Wang Hao just stuffed in the office, constantly doing computing work, the only place he went to was the central laboratory, using the laboratory's server to do computing analysis, and then he would continue to research when he came back.

Others don't know what Wang Hao is doing, but they know that it is related to the study of the Yang-Mills equation.

Equation study?

Why do I use a server?

And why do you seem to be very busy doing research on equations, and you do a lot of calculations that you can't understand?

Wang Hao continued to immerse himself in his work, until this day finally came to a result--

85GeV~260GeV。

Looking at the calculated values, he exhaled lightly, and couldn't help but smile on his face, but then shook his head a little helplessly.

This is an energy value interval calculated by combining particle collision experiment data, reports, and his own research results.

Now he has come to the conclusion that there will be numerical anomalies in the range of 85GeV~260GeV if the data is large enough.

This kind of anomaly represents a data gap.

To put it simply, during the particle collision experiment, some newly generated particles 'jumped away' to the range of 85GeV~260GeV energy range.

If we do experimental statistics, there are few data in the energy range of 85GeV~260GeV.

Wang Hao's understanding is only a kind of effect of annihilation force on particles, as if using a force to push an object, in the energy range of 85GeV~260GeV, the annihilation force plays a relatively large role, and many particles are pushed away.

This conclusion does not seem to make much sense.

Because the premise is, 'Big enough data, how big is big enough?'

He himself did not have a definite concept.

Wang Hao looked at the results and hesitated, because the analysis was made on the premise of the existence of annihilation power, and he felt that it was an illusion, a type of research, and it was meaningless to submit it.

However, it seems a bit wasteful not to publish the results of the research that took nearly twenty days.

He briefly sorted out the content, and then wrote a general introduction and published it on his personal blog, titled "85GeV~260GeV Energy Interval Problem".

"It's just a small study, although it doesn't make much sense, but maybe it will be helpful for subsequent research."

Wang Hao thought.

After working for 20 days in a row, he still wanted to take a break, so he went out to exercise and go 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 waves at all, because the content of the blog is very illusory, the content is to do a study of the Yang-Mills equation, and then deduce the energy range of 85GeV~260GeV, which may detect some abnormal problems.

This exception is 'Data Gap,?'

Many people on the Internet also discussed, "What is Wang Hao's latest research?"

"It seems to be related to the Yang-Mills equation, but why did it suddenly turn to the particle collision experiment, and directly say that there is an anomaly in the energy range?"

"Data gap? What does that mean!"

"It seems difficult to understand ......"

"I don't understand it at all, but it doesn't seem that Wang Hao Dashen has posted all the research."

“......”

This is the end of the discussion in the country.

Some foreign academic media also reprinted the blog news released by Wang Hao, which is very similar to the situation in China, except that a few people took a look at it, and then they didn't care.

This is perhaps the least followed content of Wang Hao's blog posts.

Time makes people forget what happened.

Half a month later, everyone left things behind, as if there was no content for blog updates at all.

Wang Hao himself is the same, he and Lin Bohan re-studied the topology definition problem, and also kept communicating with Bill Carl by email, and agreed with the other party to come to Xihai University early next month.

Things seem to be completely in the past.

Until this day.

CERN's ATLCS independent research group has released news about the latest experimental research.

In their latest experimental data analysis work, they found that there is a strange phenomenon in the energy range of 90GeV~270GeV, which is suspected to be a data gap.

To be continued

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