Chapter 228 Wang Hao’s Experimental Prediction Actually Came True!

Chapter 228 Wang Hao's experimental predictions... came true!

Once the research direction is found, the research can begin.

Wang Hao did not rush to do research. He still took good care of his students. Because he wanted to do research with his students and at least let them understand Yang-Mills theory, he specially set aside half a month of "homework".

The homework content is some difficult basic knowledge, including a small paper on related research.

"Try to understand these materials. Quantum mechanics covers a wide range, but we only study it from the perspective of mathematics, not physics."

"This is very important."

"Mathematics is the foundation. You don't need to deeply understand quantum mechanics, or the more complex particle standard model, but you need to understand the mathematical foundation..."

Wang Hao explained patiently, and he also praised Ding Zhiqiang in particular, "In doing research, inspiration is very important. Ding Zhiqiang has done a good job in this regard. Many ideas are sudden, but very important."

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

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

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

The students left with the materials.

Ding Zhiqiang walked at the back, and he felt very depressed looking at the materials in his hand.

Years ago, he completed the study of algebraic geometry, and his life was just like other first-year graduate students, attending classes and studying normally.

Perhaps in the eyes of other students, it is not easy to understand the knowledge in class, which takes up most of the day.

Ding Zhiqiang feels very relaxed.

This is the most relaxed period in the past three years.

Every night, he can still have two or three hours of free time, and the weekend is even more relaxed. Last weekend, he even slept until 10:30 in the morning.

This is simply a dream-like life.

He found the sense of ease he once had, but now the ease is over. Just a pile of information in his hand is 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 went home during the winter vacation, the first thing he heard from his mother was, "Why are you back? Didn't you say you were busy? I thought you wouldn't come back this year."

Then, "Your father and I know that your mentor is Wang Hao. Xiaoqiang, you have such a good opportunity. You must win honor for our family and become a great scientist in the future!"

Ding Zhiqiang was filled with tears when he heard this. 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.

He has a deep study of the NS equation, but he can only use related methods to approximate the solution of the Yang-Mills equation.

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

If it is infinitely close to a set of exact solutions, the solution is still meaningful, but because it is an approximate solution after all, it is difficult to analyze the physical properties later.

"However, it is very difficult to analyze the physical properties of any set of solutions."

Wang Hao still felt that he was influenced by the content of quantum physics. What he had to do was to study in a purely mathematical way and not be influenced by the content of the physical direction.

He kept thinking.

This time, he was not buried in the office, doing research like a retreat, and his life was still normal.

Lin Bohan came over.

The new semester has begun, the 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 talk about his views.

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

"The microscopic form shaped in this way is definitely more complicated than a single atom, but it can also be improved slowly."

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

"Let's discuss step by step..."

This is the method Lin Bohan thought of.

The new geometry content published by Wang Hao is only for single-element substances, such as aluminum, gold, copper, etc.

Because it only targets single-element substances, the new geometry is not applicable to more complex compounds.

Their research direction is to establish a semi-topological system to cover the microscopic morphological structure of complex materials, but the research encountered problems and they couldn't think of how to proceed next.

If we just expand the difficulty a little bit and only discuss the simplest compounds composed of two different atoms, the complexity will definitely increase a lot, but it will not be 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 expanded to two different atomic compositions, it will indeed become easier, but the problem we are facing now is not difficult or simple."

He continued, "The microscopic form can also be understood as a topological magnetic chain in condensed matter physics. The nodes of this topological form are not necessarily based on molecules."

"That is to say, when forming a topological magnetic chain, the same molecule may be linked to other molecules at different points."

"This is the main reason for the complexity."

In fact, it is also very simple to explain. For example, the microscopic form of the molecule ab composed of 'a' and 'b' is not necessarily ab-ab-ab-ab..., but may also be aba-bba-abb-baa...

It is precisely because a single molecule may not be at a node in the microscopic form that the shaping of the microscopic form becomes very complicated.

Even if there are only two elements in the microscopic form, there may be countless changes.

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

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

"Now I am more sure of this."

Wang Hao stood up and paced, saying, "I have a student named Ding Zhiqiang, you should have met him, right?"

"He reminded me and made me realize that sometimes, mathematics and physics should be separated."

"If mathematics and physics are combined, then we should find a physicist to join the project, instead of just a few of us doing research, and the problem will become very, very complicated."

"So for this research, we no longer consider physical problems, but only consider shaping new topological definitions, and only consider shaping a new set of topological systems based on algebraic geometry."

"If we want to turn 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 have a good theoretical foundation, no matter how complex the microscopic morphology is, it is just an application..."

Wang Hao explained his thoughts.

This statement will certainly be recognized by the mathematics community. Many mathematicians think so, especially those who do pure mathematics research.

Pure mathematics is the foundation of mathematics.

Only with a large amount of pure mathematics research can we lay a good foundation for applied mathematics and then connect it to real applications.

From pure mathematics to applied mathematics, and then to real applications, there is also "applied mathematics" between pure mathematics and real applications. Because of this, many people think that "pure mathematics" is meaningless because it is seriously disconnected from real applications.

In fact, this is not the case.

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

In fact, what Wang Hao said is not profound, it is just the foundation 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 of it when doing it are completely different concepts.

Lin Bohan felt a sense of sudden enlightenment. He has always understood this truth, but when he really devotes himself to research, he can't help but connect it to superconductivity, continuity to superconductor materials and other contents.

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

After leaving Wang Hao's office, Lin Bohan happened to meet Ding Zhiqiang. He couldn't help but give Ding Zhiqiang a thumbs up and praised him, "Great!"

"What?"

Ding Zhiqiang was confused.

He felt that he had not done anything, but he was always praised as "great".

"What's so great about it? I changed it, isn't it okay?" He looked at the information in his hand and wanted to cry.

On the other side.

Wang Hao continued to study the equation and talked with Lin Bohan about the research problem. He had already felt the "complexity" mentioned by Qiu Chengwen.

He was just talking about algebraic geometry and topology, and the research turned into Yang-Mills equations, which are completely different fields.

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

He decided to "retreat".

If he was constantly disturbed, it would be very difficult for him to concentrate on research.

Wang Hao hung a "Do Not Disturb" sign at the door.

This is the first time.

Previously, it was 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 Number Science Laboratory.

After the Do Not Disturb sign was hung, the world seemed to be quiet.

Wang Hao also began to concentrate on research.

He emptied his mind and no longer considered quantum physics or other disciplines of mathematics. He just analyzed the 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. There are many methods that can be used. Of course, the methods may not be useful, but you can try them one by one instead of sitting there 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 still 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 dynamic 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.

The atmosphere in the office became 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.

"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 said, "This kind of unsolvable partial differential equation can actually be solved by numerical substitution. 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 food, he just raised his head and said, "Put it there."

Then just get back to work and put the matter behind you.

He worked until four o'clock in the afternoon, then 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 last S+ level mission, he knew 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 meaningless set of 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, spending even 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 research has yielded little results.

Including the column formula and other parameters, the content can be analyzed, but the value of ‘-0.38~0.38’ is still unclear what it represents.

The disappearance of power?

Loss of energy?

Why?

Wang Hao couldn't understand it at all, so he simply stopped thinking about it and started working normally.

He opened the 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 restarted test experiments 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 certain 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 based on the premise of 'the existence of annihilation force'.

The previous analyzes he made 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 another very important condition.

‘-0.38~0.38’ is very meaningful.

Negative or zero values ​​most likely represent missing mass or energy.

Then, new problems emerged.

"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 just stayed in the office and kept doing calculations. The only place he went to was the central laboratory. He used the laboratory's server to do calculations and analysis, and continued research when he came back.

No one else knew what Wang Hao was doing, but they only knew that it was related to the study of the Yang-Mills equation.

Equation study?

Why use a server?

And why do I seem to be very busy doing research on equations, and do a lot of calculations that I can’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 he shook his head helplessly.

This is an energy range calculated based on particle collision experiment data, reports, and 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 is very little 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 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 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". It felt like 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, then wrote a rough introduction and published it 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 content of the blog was very unreal. The content was to do a study on the Yang-Mills equation, and then derive the energy range of 85GeV~260GeV, which may detect some abnormal problems.

Is this abnormality "data gap"?

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

"It seems to be related to the Yang-Mills equation, but why did it suddenly turn to particle collision experiments, and it directly said that there are abnormalities in the energy range?"

"Data gap? What does this mean!"

"It seems difficult to understand..."

"I don't understand it at all, but Master Wang Hao doesn't seem to post all the research."

"..."

The domestic discussion ended here.

Some foreign academic media also reprinted the blog message released by Wang Hao, which is very similar to the situation in China. Only a few people took a look, and then no one cared.

This may be the least concerned content in Wang Hao's blog posts.

Time makes people forget what happened.

Half a month later, everyone put the matter behind them, as if there was no content updated in the blog at all.

Wang Hao himself was the same. He started to study the topological definition problem with Lin Bohan again, and kept communicating with Birkar by email. He also agreed with him to come to Xihai University at the beginning of next month.

The matter seemed to be completely over.

Until this day.

The ATLCS independent research group of the European Organization for Nuclear Research released news related to the latest experimental research.

In their latest experimental data analysis work, they found that there was a strange phenomenon of suspected "data gaps" in the energy range of 90GeV~270GeV.