"Try?"
"Do not make jokes!"
"Rather than solving the Hodge conjecture, it is more practical to find an easier method."
This is Bill Carr's take.
Lin Bohan did not express his own opinion, but he also felt that solving the Hodge conjecture was too difficult and could not be achieved at all.
Wang Hao shook his head and said, "I just made a suggestion, and I don't want to solve the Hodge conjecture problem right away."
He felt a little helpless.
As for solving a mathematical problem involving one of the world's top conjectures, he is confident that he can complete it. It is only a matter of time.
After all, he can gather inspiration by setting up tasks.
But the difficulty level of Hodge's conjecture is too high. It must be an S+ level research, which is no worse than the NS equation problem. It cannot be completed in a short time. It takes one or two years to complete it. It is normal.
He just followed what Bill Carr said.
He actually doesn't have much interest in the Hodge conjecture. The Hodge conjecture is related to algebraic geometry and topology, and he has not done in-depth research on either of them. At the same time, it is hard to say how big his interest is.
What he now wants to solve is the expression problem of 'morphological gap', rather than having to solve the Hodge conjecture problem.
Just looking for a topological geometric expression, but spending a lot of time and energy to conquer the Hodge conjecture, it sounds no different from Yu Gong moving mountains.
Wang Hao asked, "Is it necessary to solve the Hodge conjecture? Also, if we solve the problem of the Hodge conjecture, we will definitely be able to solve the expression problem?"
Bill Carr thought seriously.
Lin Bohan frowned and said, "If you don't ask for too much rigor, you can find a way to express yourself."
Birkar retorted, "Mathematics, of course, must be rigorous."
"That's not necessarily the case."
After hearing Lin Bohan's words, Wang Hao felt his eyes light up. He said, "The expression problem I want to solve is to connect the application, that is, the mechanism of superconductivity, rather than to prove it."
"Can we assume that the Hodge conjecture is correct and continue research?"
Everything he said felt right.
Because what he wants to complete are applied problems and theoretical problems, rather than mathematical problems, some assumptions can be made in theoretical research.
As long as it helps in application, it doesn't matter if you make assumptions.
Bill Carr thought and nodded, "If you don't need to do rigorous mathematical proof, you can indeed do this, but Hodge's conjecture is to solve a type of problem of object expression, not mathematical logic."
Lin Bohan thought about it and said, "Assuming that all H objects can be constructed from geometric objects in a purely algebraic way, we can look for special cases among them and do extended research..."
"Specific algebraic varieties..."
They began to analyze it seriously.
Wang Hao's initial thought was that he had reached a dead end.
Mathematical research requires rigor, but their research is for the superconducting mechanism and the content of semi-topological microscopic forms, rather than to prove any mathematical theorem.
Naturally, there is no need for completely certain preconditions.
Hodge's conjecture is related to algebraic geometry and topology. The content is difficult for ordinary people to understand. What it says is that a class of objects (H objects) is created by applying calculus on clusters, which can be represented by a kind of algebra.
way, built from "objects that can be described algebraically".
A simple but inaccurate understanding is that 'a certain type of geometry related to topology can be described algebraically.
It is naturally very difficult to prove that solving a type of problem is very difficult, but assuming that the Hodge conjecture is true, we can study specific algebraic variety problems.
This bypasses the Hodge conjecture.
After actually getting involved in research, Wang Hao still found that the difficulty was very high. Even though the Hodge conjecture was bypassed, the problem was still there. They could only establish specific topological geometry to associate the expression of algebraic equations.
It is naturally not easy to expand slowly like this to cover the needs expressed in the 'gap'.
Wang Hao, Lin Bohan, and Bill Carr demonstrated for three days in a row. They each gained some results, but looking at the pitiful 2 points of inspiration value in the system task, he decided to do research slowly.
One bite won’t make you fat!
Now the research has just begun. If you want to complete the S-level difficulty task, inspiration is much more important than hard work.
Theoretical research may bring inspiration, and similarly, experimental research can also bring inspiration.
The superconducting materials experimental group has provided 'CA005, which is sufficient for large-scale experiments.
'CA005' prepared through laboratory means naturally costs a staggering amount of money. Fortunately, 'CA005' is a solid metal material and can be used continuously instead of being lost in one experiment.
Wang Hao specifically told Deng Huanshan to continue preparing, "The amount of materials is still not enough. We will need more materials in the future, and we must prepare more than three times."
"Three times?" Deng Huanshan grinned hard.
This part of the material was prepared through laboratory means, which cost more than 10,000 yuan, and almost all of the laboratory's manpower was engaged in material preparation.
Now we need to prepare more materials, which consumes a lot of time, energy and cost.
Deng Huanshan felt it was very luxurious, but when Wang Hao made a request, he could only agree.
After preparing the basic materials, Wang Hao went to the physics laboratory.
The current physics laboratory is completely different. A large-scale experimental center has been newly built with a lot of high-end equipment.
The name of the physics laboratory has also been changed to ‘Anti-Gravity Behavior Research Center’, which clearly states that they are doing research on anti-gravity and exchange of gravity.
On the day Wang Hao arrived, many people gathered in the laboratory, including the core personnel of the two research groups.
Among them are Liu Yunli, Xue Chang, Xiao Xinyu, Ruan Weiping, Xiang Qiansheng, He Yi, Yan Jing...
etc.
The two teams have a total of more than 20 researchers and associate researchers.
Many people came to the conference room early, and they were all discussing the upcoming research.
Liu Yunli and He Yi did not explain directly, but they still revealed some news, saying that the research meeting would be similar to the original one on improving the exchange of gravity strength.
Because of this, many people are looking forward to it very much.
Since the AC Gravity Experiment was officially made public, the AC Gravity Experiment Team has been very depressed. On the day the experiment was made public, they could be said to be at their peak, and then they declined rapidly, and later they were no longer noticed.
This is mainly because the general focus has been put on superconducting-related research, and they seem to have become the material property testing institution of the superconducting materials experimental group.
What was originally a high-level anti-gravity research turned out to be just an incidental testing agency. Everyone felt very depressed.
There is no way around this.
Anti-gravity is a bit too high-end in comparison. Even if we continue to study and improve it, it won't be too big. Ordinary improvements are really just numbers.
30%, 40%, what’s the difference?
In the end, none of them can be applied. To advance to the application level, the premise is the vigorous development of superconducting technology, which can support the provision of more practical materials.
Research in the field of superconductivity is different.
When there are materials that can be used in industry and have higher superconducting critical temperatures, electricity-related technologies can flourish.
Therefore, the research center will undoubtedly be inclined towards superconductivity and invest a large amount of funds into the field of superconductivity.
Wang Hao decided to restart the research on communication gravity, and they were naturally very excited.
"Professor Wang said that the intensity of communication gravity will be greatly improved...how big will it be?"
He Yi and Liu Yunli sat together and whispered expectantly.
Liu Yunli shook his head and said, "I don't know, maybe more than fifty
?」
"It's amazing to be over fifty!" He Yi said with some anticipation, "Lose half the weight!"
"Fifty!"
Liu Yunli was also looking forward to it, "Maybe it's higher?"
While the two were talking, Wang Hao walked into the conference room, and the room suddenly became quiet.
Wang Hao sat on the main seat, glanced at everyone, and said, "This time we are conducting research on communication dynamics for a new material."
"This new material is very interesting, CA005. You have already tested its material."
To be continued...