The algebraic expression of semi-topological morphology, that is, the study of weakening the Hodge conjecture, has aroused heated discussions in the international academic community, but the initial discussion is not the research itself, but the paper directly published on the website of "New Advances in Mathematics".

This is clearly an unusual operation.

"New Advances in Mathematics" is one of the four top international mathematics journals, and their review of papers is very strict, and every update of the main website is connected to the content of the new issue, and there has never been a targeted publication of a paper.

It is obviously a violation of the norm, and it is inseparable from the author and content of the paper.

When many scholars pay attention to the content itself, they also understand why "New Advances in Mathematics" does this.

One is because the author is Wang Hao.

Other collaborators include Kachel Bierkar, a top scholar in the field of algebraic geometry, and two other scholars who are a little bit of a celebrity.

In addition, there is the content of the paper.

Hodge conjecture questions.

This question is arguably the most low-key, obscure, and least noticed of the seven math problems of the Dry Jubilee Year.

The Hodge conjecture has not received attention because it is a purely mathematical problem and involves two unpopular subjects, algebraic geometry and topology.

Ordinary people simply cannot understand the content of Hodge's conjecture, and compared with other mathematical disciplines, algebraic geometry and topology are "niche" in mathematics, and the number of mathematicians specializing in related research is not large.

In addition, the Hodge conjecture is not a number theory content like the Riemann conjecture, and "kidnaps" thousands of mathematical inferences based on the Riemann conjecture and is directly related to the distribution of prime numbers.

Wait a minute.

It is precisely because of the unpopularity, low-key, and scary difficulty of Hodge's conjecture that there has been no progress in the past few decades, and it is not even easy to find a related non-professional "civil science research".

Now the results published by Wang Hao's research group are directly related to the Hodge conjecture, which is the content of semi-topological correlation algebraic geometry, which can be regarded as "weakening the Hodge conjecture", which also shocked many people.

"Hodge's conjecture?"

"Even if it's 'weakened, can it really be done?'

"I've studied the semi-topological architecture carefully, and I feel that it is the same as the topology, but it still can't be directly related to algebraic expressions......

"It's amazing that we can come up with a universal formula, right?"

"This paper is extremely difficult, and it is really difficult to understand it."

Wang Haoga Birkar ...... It should be fine, right? Not to mention Wang Hao, Bilkar is one of the best figures in the field of algebraic geometry."

"More importantly, the study of the theoretical mechanism of superconductivity is not only a mathematical study, but also useful for promoting the semi-topological microscopic morphology, that is, the superconducting mechanism......

Many people have thought about the problem of semi-topological micromorphology.

The semi-topological microscopic morphology can be directly understood as the correlation mechanism between superconducting materials and elemental composition.

After Wang Hao's research group published the relevant results, many algebraic geometry experts and experimental groups around the world joined the research, but when using the existing results to do calculations, it is relatively easy to calculate the combination of two elements.

If the analysis and calculation of the three-element combination are carried out further, the difficulty will increase exponentially, and even now, no research group has dared to determine the corresponding efficacy of a certain three-element combination.

The new achievement is to express the semi-topological structure in an algebraic way, which is equivalent to simplifying the expression of the semi-topological micromorphology, and will inevitably continue to simplify the calculation related to the semi-topological micromorphology.

Then it will be relatively easy to analyze the combination of the three elements.

That's where theory comes in.

Of course, the role of research in promoting the superconducting mechanism is far more than just calculation, and the most important thing is to judge which combination of elements can form a material with a relatively lower superconducting critical temperature according to the research.

Many people realized this problem, and immediately reflected on public opinion, "This

It is a great advancement of the theoretical mechanism of superconductivity! 「

"The calculation of elemental combinations will be simplified, and the difficulty will definitely be reduced accordingly, which will facilitate the research of superconducting materials."

"It's not just mathematical, it's also a great physics!"

"The decipherment of the expression of the semi-topology is very significant......

"It is worthy of Wang Hao, worthy of Bilkal, worthy of ......"

"Luo Dayong and Lin Bohan, they are also members of the research group, but they are relatively unknown, but their names will soon resound around the world!"

"Maybe we should pay more attention to these two unknown figures......

"One is an expert in topology and the other is an expert in complexity, and they also have a lot to contribute to the research......

Many scholars talk about the results of research, but in fact, no scholar can judge whether the research is correct or not.

This needs to be confirmed by top international institutions.

It is also very difficult for the world's top research institutions to confirm the results, because the research content involves very advanced algebraic geometry, topology, logical theory and other issues, and its foundation is also very difficult semi-topological theory.

Taken together, several disciplines are definitely not something that a single scholar can understand.

To validate the results of your research, you need to assemble a team of top scholars, including top experts in topology, algebraic geometry, and complex problems.

Even if you find the relevant experts and get together to do research, it will take a long time because it is not easy to understand the content and the verification is relatively complicated.

Because the research is very important, many institutions are really interested.

For example, the Institute for Advanced Study in Princeton.

On the third day of the release of the results, the Institute for Advanced Study in Princeton announced the establishment of a special group to review the research on semi-topological algebraic expressions.

"This has nothing to do with Wang Hao's personal academic influence, mainly because the difficulty of the research is too high and the content of the paper is too profound."

"Even if we had a team of seven, it would have taken at least a month or more to figure it out."

"One month is the foundation."

"When I saw this study, I was very surprised, because I think it would take at least a few years or even decades for a collaborative study like this to complete."

"But, obviously, it is impossible, the history of semi-topological theory is only one year, and the current research is completed in a short time."

"It's amazing, it's incredible, I can't imagine how it was done......

Many scholars find it incredible.

Some of the top scholars in the field of algebraic geometry are very depressed.

Even in academia, there are successes and failures.

When faced with the study of semi-topological microscopic morphology, algebraic geometricians are divided into two factions, one is in the direction of applied computing, they join the relevant research groups and experimental groups, and connect with the semi-topological microscopic morphology theory to calculate and analyze the elemental composition.

The other school is the theoretical school, and those who can engage in theoretical research are the top figures in the field of algebraic geometry.

Just like Gao Zhenming, many top experts in algebraic geometry have done the simplification of microscopic morphological expressions, and semi-topological expressions are the key to this.

Many top experts in algebraic geometry have done research in this direction.

Now that the results can't be released, they, like Gao Zhenming, find that their efforts have been in vain.

When someone else has already made a result, their research becomes useless, like solving a mathematical problem, and when others have already solved the answer, it is meaningless to continue research.

They all feel the same thing in their hearts --

"Wang Hao and Birkall's research directly covers the semi-topological system.

"It's just ...... Don't talk about martial arts! 「

……

When there was a lot of discussion in the international mathematical physics community, Wang Hao did not pay much attention to the published results, in his opinion, the research that weakened the Hodge conjecture was just a "tool of expression".

With the expression tools, it is possible to express the "gap problem".

This also promotes the study of the semi-topological microscopic morphology of CA005.

On the basis of having the tools, continue to study the relevant content, and the theoretical problems can be directly solved.

Then what is lacking is only experimental data to back it up.

Wang Hao paid special attention to the manufacturing problem of CA005 and learned that CA005 has achieved standard manufacturing.

Although it is not yet possible to produce on a large scale, more than 80% of the steps can be simplified according to the standard, and some steps need to be carried out in the laboratory.

The process carried out in the laboratory is also a key factor that limits the speed of production.

"Three tons have been made now." Deng Huanshan said a number, "The manufactured materials have been transported to the factory, and according to your requirements, the corresponding form has been shaped."

"Academician Wang, don't worry, the follow-up production speed will be faster and faster, and now it can produce about one ton every three days."

This figure satisfied Wang Hao, but the experiment still has to wait for time.

Whether it is the production of materials, or the molding, transportation, and assembly of the factory according to the requirements, it takes time.

……

On this day, Wang Hao's research group gathered together again, but instead of doing research together, they talked and talked about the results.

They are very confident in their research results, but the problem is that there are no major international academic organizations that recognize the results.

It's a very frustrating thing.

There are still many scholars in the world who talk about relevant research, and most of them have a positive attitude towards the research, but no international academic organization has come forward to determine whether the results are correct or not, and it will not be directly confirmed.

Wang Hao didn't pay much attention to this, because his academic influence had reached its peak, and one more top-level achievement didn't seem to be a big deal.

Others are different.

It's about the honor of their achievements.

Even Bilcar is interested in the confirmation of results, and he has indeed won the Fields Medal, but Fields is not the end, and he hopes to excel and gain more honors and recognition in the field of mathematics.

Luo Dayong and Lin Bohan are even more so, they are looking at the report depressedly, "Look at this report......

"As mentioned above, the joint research of Wang Hao and Birkar will promote the theoretical mechanism of superconductivity...... Why Wang Hao and Kachel researched together? What about our names?"

"Here it is."

Luo Dayong pointed to a news item on his phone that read, "... The latest results were completed by Wang Hao and Fields winner Bill Carr and others......

"Where?" Lin Bohan looked at it for a long time and couldn't find his name.

"Here!"

Luo Dayong pointed to a place, only to see the words "wait for others" written on it.

Lin Bohan's face suddenly darkened a little, they had already read a lot of reports, and most of the reports attributed him and Luo Dayong to him, wait, wait, and others, as if they were completely incidental.

But in fact, it is indeed Wang Hao who has made the largest contribution to research, but Lin Bohan believes that his contribution is not much less than that of Bilkal.

Luo Dayong turned into, wait, it's really no problem, he only joined in later, he can mix it, wait, it's not bad.

Wang Hao smiled, "Don't worry too much. Some of the reports are like that, but in terms of academic rules, you and Kachel are on a par."

It's the truth.

This research result was completed by the research group together, and Wang Hao must be the first contributor, and theoretically, the other three are all tied.

Now there are many reports, attributing Luo Dayong and Lin Bohan, etc., mainly because they have no personal fame.

compare

Erkar's contribution is similar to that of Lin Bohan, but because he has won the Fields Medal, it feels like he has contributed more and more important.

"That's why it's important to have a breakthrough in personal research......

"Only when you get some individual awards will you be internationally recognized."

"Hey~"

Lin Bohan and Luo Dayong sighed together.

But when they think about it, they feel that they are pursuing too much, especially Lin Bohan, who was just a working postdoctoral fellow before he came to Xihai University.

It's great to be able to join the top research group and accomplish the top results now, and to be able to put on a name.

For example, he has been officially promoted to professor.

"When will our research be confirmed by international organizations?" Lin Bohan asked with concern.

Wang Hao thought about it and said, "A month?"

Bilkar shook his head, "I guess it's going to take longer. Princeton said it would take a month, but I think it would take at least a month and a half or more than two months."

"So long?" Lin Bohan grinned vigorously.

Bill Carr said, "You should know the difficulty."

"Indeed."

Lin Bohan nodded, and suddenly became energetic, "In other words, it took us about three months to complete the research, and it took a month to two months for Princeton to just understand the results......

"It sounds incredible......

"I think so too."

"It feels so strange......

Birkar and Luo Dayong spent a total of three months to complete the research, and it took more than a month to confirm the results, which was incredible.

And then......

They looked at Wang Hao together.

In the whole research process, the main direction is controlled by Wang Hao, and many ideas and ideas are directly related to Wang Hao.

At this time, they finally understood why Wang Hao's research speed was so fast, and one person could produce so many great results.

If you really say a genius, only Wang Hao is worthy of the name!

……

Wang Hao doesn't care about "genius or not".

Weakening Hodge's conjecture is just a "means of expression", and he is more concerned with the content of the experiment.

Time enters the end of the year.

Wang Hao informed everyone in advance that there would be no vacation during the New Year, of course, several times the overtime pay was indispensable, and he hoped to complete the research as soon as possible, and he couldn't wait for the research of CA005.

A large amount of material was transported to the Anti-Gravity Properties Research Center.

A large amount of equipment was also shipped in.

In order to facilitate the latest experiments and to consider secrecy, the Anti-Gravity Sex Research Center was simply fenced off on one side of the school, leaving only a small door for one person to pass through, and a gate open on the other side.

On this day, the research center conducted the first experiment, which was still a horizontal arrangement of the spiral of the material, and the result was an anti-gravity value of 81.3%.

Immediately after that, three experiments were conducted, each with only one day apart.

The three experiments were all basic experiments for collecting data.

The main data include the anti-gravity intensity, the coverage of the anti-gravity field, and the magnetic field and instrument corresponding to the current intensity.

After completing four experiments in a row, and having enough data base, Wang Hao immediately convened a demonstration meeting and designed a new scheme.

"The solution is still based on a spiral structure, with circular bumps added behind each 360-degree spiral.

"The structure of the material is one thing, and the control of the current on the other, and we need to study the effect of ultra-high current intensity on the AC gravity field."

"Also, ...... required"

Wang Hao made a summary of the experimental design, and then the experimental group started to prepare for the experiment

Job.

The most important thing in the preparation of the experiment is the morphology of CA005.

In this regard, it is still necessary to cooperate with the factory for special manufacturing, which needs to wait for more than a week to half a month.

The time happened to be the foreplay of the Spring Festival, and Wang Hao simply gave everyone a holiday, so that everyone could spend the New Year with peace of mind.

years later.

The materials made in the factory have been shipped, and the experimental team has regrouped to start a new experiment.

Everyone is looking forward to the results of the experiment.

In everyone's attention, the experimental results are also very amazing, Liu Yunli reported the data with excitement, "In this experiment, we detected an anti-gravity strength of ......."

「90.3！「

The conference room suddenly let out an exclamation, even if it has reached the value of 80, but more than 90 is a huge improvement.

The current anti-gravity value, every one percent increase, can be said to be very significant.

From 80 percent to 90 percent, it's not just 10 points, but it's twice as much.

For example, if you have a 100-ton object, you will lose 80 percent of its weight, and the rest will be 20 tons.

Ninety percent of the weight is reduced, and only 10 tons remain.

Ten tons, and twenty tons, the difference is doubled!

If a kind of aircraft is built, the weight will be reduced by 90 percent, and the load will naturally be more than 80 percent.

He Yi swallowed his saliva and said, "This can already be called anti-gravity aviation technology, right?"

Wang Hao was also very excited, but he still thought about it and said, "Theoretically, there should be room for improvement."

"I think the limit value should be close to 93 percent, but the theoretical limit should not be reached, and it needs to be verified experimentally."

"However, this data can also be reported."

After he finished speaking, he asked Liu Yunli to write a report, and then explained his work, "For the material group to continue large-scale production, we still need more CA005."

"At this point, it's time to consider applying ......."