Chapter 439 This Is Not Something in Three-Dimensional Space at All
"I can't believe that prime numbers can be observed through this substance-like form. What I need to do next is how to describe this special form."
Being able to feel its existence and being able to describe it are two completely different concepts, but Ning Chen must try to complete this matter in the shortest possible time.
Ning Chen knew clearly that this special state of being able to directly observe the existence of prime numbers would probably not last for a long time. However, if he wanted to wait until this state was over and then go back to describe the prime numbers, it would be very difficult. Probability no longer describes it accurately.
It's like having another dream, waking up and recording all the details of the dream. It's difficult to remember all the details of the dream.
Ning Chen exhausted all his abilities and tried to describe the prime numbers in his mind, but he was still unable to record such an existence in a very vivid way.
Until time passed quietly and unknowingly, Ning Chen finally could no longer see the existence of such prime numbers, and had to end this special state.
At this moment, Ning Chen felt very sorry in his heart, because this state was out of reach. Although Ning Chen successfully entered it this time, he wanted to enter the same state again. He didn't know how many times he tried. Only then can we succeed.
It is even possible that he will never be able to enter the same situation again in the future. Until now, Ning Chen has not figured out how he did this.
"Hey... what a pity. Just now I still couldn't record the existence of such prime numbers."
Ning Chen just tried to record this existence through mathematical language, formulas, or other descriptive methods, but in the end these attempts ended in failure.
But just when Ning Chen felt melancholy about this, Ning Chen suddenly had a new turning point about this matter.
When Ning Chen tried to describe the existence of this kind of prime number before, Ning Chen had memorized all the details of this special existence, and now when Ning Chen recalls these, he still remembers them very clearly.
Ning Chen even felt that the special existence of this prime number still remained in his mind at this time, just like the things that had appeared in Ning Chen's dreams also appeared in the real world.
"This... what kind of existence is this? Why can I feel it but can't describe it overall?"
Ning Chen knew that as long as it is a substance in a three-dimensional space, whether it is in a microscopic or macroscopic state, no matter how bizarre it is, it can always be described through a simulation model.
"Unless... this is not a substance at all!" Ning Chen sighed in his heart.
Before this, Ning Chen had never associated prime numbers with matter, because in Ning Chen's philosophy, there was no relationship between the two.
But since Ning Chen can feel the existence of this prime number, Ning Chen cannot deny that it is a kind of substance.
"Wait a minute... Could it be that the problem is not in the 'matter', but in... the 'three-dimensional space'?"
After thinking of this, Ning Chen couldn't help but think deeply again.
In human habitual cognition, three-dimensional space has always been the space we use by default, because apart from three-dimensional space, we do not directly observe other dimensions of space.
If it is a low-dimensional space, it is very easy to describe, but this is only a simplification of the three-dimensional space and will not be of much help in studying more complex problems.
As for higher-dimensional space, people can only try their best to describe it through imagination, but no one can be sure whether these descriptions are really correct.
"Could it be that...these so-called prime numbers are not matter in three-dimensional space, but matter in four-dimensional space or even higher-dimensional space?"
During the period just now, Ning Chen's state was actually a bit chaotic, and he was not sure whether what he saw was matter in a normal three-dimensional space.
Thinking of this possibility, Ning Chen felt a little disappointed, knowing that this was still a key clue that could solve Goldbach's conjecture.
The next day, Ning Chen came to his office as usual and continued their previous work with Tao Zhexuan and Song Xiyun.
Last night, after the three of them finished their work, they went back and thought about the problems they encountered yesterday. Although they did not get a complete solution to these problems, at least they did not give up hope of solving the problems.
"Academician Ning, have you thought of any good method?" Tao Zhexuan asked Ning Chen.
Faced with Tao Zhexuan's question, Ning Chen did not immediately give a positive or negative answer. After being silent for a few seconds, he slowly said:
"I can't say I found any good method, but I had a dream yesterday. In this dream, I felt the real existence of prime numbers..."
Ning Chen did not tell them directly that he entered a very magical state last night, but this state was indeed very similar to a dream, and there was no problem using the word "dream" to describe it.
Listening to Ning Chen's description, both Tao Zhexuan and Song Xiyun showed very unbelievable expressions, and some couldn't believe what Ning Chen said.
"Academician Ning, are you saying...that you directly felt the objective existence of prime numbers in your dream?"
"Yes, it can be said that way. Until now, I can remember every detail of its existence, but I still can't describe it to you. This state is too difficult to describe. Alas, I don't know how to say it."
Although Ning Chen is not a talkative person, his language ability is still very strong. Even in many large places, Ning Chen can speak freely and there is no problem with his language expression ability.
But there is such a thing that Ning Chen doesn't know how to describe, which is enough to show how strange it is.
"Then Ning Chen, can you describe some details of it? Just a partial description will do." Song Xiyun said.
Hearing Song Xiyun's question, Ning Chen felt the "prime number" that still existed in his mind and tried to describe it from some details.
After hearing these descriptive words from Ning Chen, Tao Zhexuan and Song Xiyun felt a little familiar, as if they had dreamed of similar things before.
"Hey, Ning Chen, do you think this so-called 'prime matter' is a kind of matter that exists in high-dimensional space?"
Ning Chen did not expect that Song Xiyun could think the same as him, and nodded quickly, saying:
"Yes, Song Xiyun, I have thought of this possibility before. It's just that we don't know anything about this high-dimensional concept. Even if we think of this possibility, we can't prove whether it is correct."
"Academician Ning, I just recalled that I seemed to have had a similar dream before. In the dream, I dreamed of some chaotic states that were similar to mathematics, but not mathematics. It has something in common with your dream last night. I think we can really try in this direction, and maybe we can really find some new breakthroughs."
Ning Chen, Tao Zhexuan, and Song Xiyun studied together, and they all felt that they could try according to this idea, so they immediately started their new day's work.
This time, the three of them were still connected in the state of the brain biological computer, but the question they were thinking about became how to objectively describe the existence of prime numbers in space.
Ning Chen is still the core of the brain's biological computer architecture, communicating with Tao Zhexuan and Song Xiyun in real time through biological programs.
"Professor Tao, Song Xiyun, we are now trying to add a dimension to describe prime numbers on the basis of the original. This way of description is to verify whether this existence is really an existence in four-dimensional space..."
After listening to Ning Chen's order, Tao Zhexuan and Song Xiyun immediately followed suit.
In fact, this way of trying is still very uncertain. No one has ever conducted similar research before, and Ning Chen and the other two don't know whether this direction of thinking is really correct. Even if it is correct, they don't know whether it is an existence in four-dimensional space or a higher-dimensional space.
But no matter what the final real result is, they will continue to carry out the research until they get a satisfactory result.
At the beginning, Ning Chen and the other two's research was very unsuccessful, because this description was too abstract, and Ning Chen and the other two found it difficult to find a foothold for the description.
However, they did not give up because of these difficulties, but continued to communicate and summarize, trying to study some more suitable methods.
Because there has always been such a substance in Ning Chen's mind, they can compare the model with it anytime and anywhere to verify the accuracy of the model.
Finally, after hundreds of attempts, Ning Chen, Tao Zhexuan, and Song Xiyun have successfully found a foothold, and the description of prime numbers in high-dimensional space has gradually become clearer.
"Now it seems that our direction is probably really right. The simulation degree of the model we made has gradually approached the appearance of prime numbers in my mind..."
Although Ning Chen is still unable to determine whether this so-called "prime number" exists in four-dimensional space or higher-dimensional space, as long as they can make even a little progress, it is something worth making them happy.
After this work lasted for a week, Ning Chen was very satisfied with the model they constructed in this "four-dimensional" space.
"According to my estimation, the similarity between this model and the prime numbers in my mind is about 80%. As long as we continue to work hard in this direction, we may soon achieve a major breakthrough!"
Ning Chen's evaluation is relatively objective, because the similarity between the two is indeed very high, whether in terms of the overall or the details. If you don't distinguish them carefully, it is even difficult to find the difference between the two.
After hearing Ning Chen's words, Tao Zhexuan and Song Xiyun were also very excited, knowing that they really saw hope to break through this bottleneck.
However, Ning Chen will not continue to conduct research in the same way, but still carefully evaluate the current situation and make some fine-tuning to the subsequent research content so that their research can proceed more smoothly.
The reason why Ning Chen is full of confidence in their research is that in addition to their own research progress, Xiaozhi also gave very positive feedback.
Since they shifted their research direction to describing the existence of prime numbers in four-dimensional space, Xiaozhi has been moving forward in assessing the progress of the entire research. This means that even if they are not directly working on the proof of the Goldbach conjecture, the accurate description of prime numbers is still extremely helpful for this work.
The subsequent research was not as smooth as expected, but after ten consecutive days of work, Ning Chen and the other two finally completed the construction of the entire prime number four-dimensional space model.
After seeing that the two were completely consistent, Ning Chen was extremely excited. Ning Chen had never thought that he could successfully describe something that existed in four-dimensional space in three-dimensional space.
Tao Zhexuan and Song Xiyun were as excited as Ning Chen. The breakthrough achieved in this work means that they can continue to attack the Goldbach conjecture.
"Professor Tao, Song Xiyun, our work has been very hard during this period. I plan to let us take a short break before continuing to start new work. What do you two think?"
Hearing Ning Chen's words, Tao Zhexuan and Song Xiyun looked at each other and laughed.
Ning Chen was somewhat at a loss for words at such a scene, and hurriedly asked in confusion:
"What do you mean?"
"Ning Chen, do you think you need to rest now?" Song Xiyun asked back.
"I am OK, it depends on your physical condition." Ning Chen replied.
Ning Chen is far from reaching the limit of his body now. Before, Ning Chen had experienced research experiences with much greater intensity than this. The current intensity is naturally nothing for Ning Chen.
It's just that Ning Chen can't ask others to do what he asks of himself, especially Tao Zhexuan. Tao Zhexuan's physical fitness is not that outstanding. Ning Chen doesn't want Tao Zhexuan to have physical problems because of the high-intensity work these days.