209.

"Dimension! Wait, that's right, it's dimension!"

Cheng Li jumped up suddenly, he was like a child, jumping up and down in this layer of space, rolling around with excitement, in order to vent the joy in his heart.

"Dimension is it! Oh my God! I didn't think of it before, how come no mathematician thought of it!

"Space has dimensions, and time should have dimensions!

"'Number' should also have dimensions!!

An extremely bold and even somewhat whimsical idea popped up in Cheng Li's mind, and it never lingered again.

Almost as soon as it appeared, Cheng Li was sure that this must be a breakthrough to solve the Riemann conjecture!

In history, there are many mathematicians, physicists, and scientists, in their academic careers, many times, especially when they are at a bottleneck, they rely on the last flash of inspiration, relying on the ethereal inspiration, and suddenly figure out some problems that have plagued them for a long time.

No one knows whether those inspirations are from the mysterious information projected by high-dimensional projections, as Xiao Shutong said, and are captured by the highly divergent brain waves in the thinking process of these scientists, thus forming the so-called inspiration.

But in any case, this inspiration is based on the solid knowledge they have accumulated over a long period of time, and this inspiration is the last straw that breaks the camel's back.

So in this world, many people are smashed by apples every day, but only Newton can get inspiration from it and prove that the law of gravitation is derived.

If Newton hadn't had accumulated thinking and such advanced knowledge of mathematics and physics, then even if he was smashed by apples every day, he probably wouldn't have been able to think of the law of gravitation.

So, inspiration is something that everyone can have. But it is significantly more useful to scientists than for ordinary people.

Cheng Li's mathematical level at this time has reached the level of super-first-class mathematicians on the earth.

At this time, under the shroud of the spiritual light, he got a plug-in with a huge bonus of inspiration, and he has a research state that all scientists dream of.

With a solid foundation of mathematical knowledge and a constant flow of inspiration, figuring out the last key link is a matter of course.

For Cheng Li, who was already thinking deeply about the Riemann conjecture, his knowledge reserve needed to solve the Riemann conjecture had reached an astonishing level.

For Cheng Li at this time, whether he can come up with a proof method to solve the Riemann conjecture is actually only a layer of window paper.

For many mathematicians on the earth who are studying the Riemann hypothesis, and for the entire earth mathematics community, they are actually not as far away from the solution of Riemannian geometry as people think, in fact, they are only a layer of window paper.

That's why the little arithmetic boy will say that mathematics on the earth is at a critical bottleneck.

However, history has proven countless times that such a layer of window paper, before you figure it out, is like a moat, making people feel difficult to climb.

But as long as you figure out that key point, everything is really cheerful!

And the key point that let Cheng Ideal solve the window paper of Riemann geometry is "dimension!"

"That's right, 'number' should also have dimensions!"

Cheng Li began to calm down from the excitement and began to think in the deepest way.

"People have never been able to solve the Riemann conjecture, and have been using various methods to solve it, and all of them have gone astray at the beginning, no wonder everyone feels that they can't get in and can't find the direction to solve it!

"It turns out that the solution to the core essence of the Riemann conjecture has not been found at all.

"This essential problem is number!

"It can even be said that it is the essence of 'number'!"

When Cheng Li was thinking most deeply about the nature of 'number', the little arithmetic boy in the mysterious space had his eyes lit up.

"Huh? You figured it out so quickly?Yes, yes, it's still quite smart, it only took 30 minutes to figure it out, I thought it would take him 1 hour, it seems that this guy's mathematical talent is still good. ”

Cheng Li didn't know that Xiao Shutong was secretly observing himself at this time, and there were some evil tastes to tease him.

Even if he knew, he didn't have time to pay attention to it.

At this time, he had already entered a state of distraction, and his mind was extremely focused on thinking about the most difficult question, that is, the question about the nature of 'number'.

"For a long time, many people have felt that the concept of 'number' is artificially defined, not an objective actual existence with substance. ”

However, in reality, 'number' should be a thing with objective actual existence! However, the objective existence of 'number' is not the physical existence of matter, but a conceptual objective existence.

"Just like time, no one can really describe what time is, accurately, objectively. But there is no doubt that time exists. Although time does not exist as a physical substance, people can feel its existence very clearly. It is also a conceptual objective existence!

"The same goes for 'numbers'!"

"Although mathematics is a discipline, it is a discipline developed by human beings according to their own intuition and perception, subjective definition. But 'number' itself should be an objectively existing concept!

"This is the same as time, precisely because 'number' is an objective concept, so in this universe, anywhere, 1 is 1, it will not suddenly and inexplicably become 2! If you want to turn 1 into 2, you must add 1 to 1. ”

"And in this whole process, although the concepts of 1 and 2, as well as the concept of 'plus', are all subjectively defined, the deeper 'number' should be an objective concept!"

"Therefore, like 1+1=2, it is the objective law of the universe, an objective existence similar to the constant of the universe!"

"In primitive society, human beings have observed various objective phenomena that 1+1 will equal 2, such as stretching out 1 finger and then stretching out 1 finger, it will become 2 fingers, but will not become 3, this is an objective phenomenon!"

"Primitive man, after observing this objective phenomenon, artificially defined this objective phenomenon through the method of knotting ropes, or other methods!

Then, since they are both objective concepts, time, like space, should have the concept of dimensions.

"In the same way, 'number', like space, should also have the concept of dimension!"

"This is the essence of 'number'!"

Cheng Li suddenly said brightly.

Based on this idea, countless ideas exploded in his mind.

"Let's take the simplest example.

"The concept of dimension in geometric space, one dimension is a line, two dimensions is a surface, and three dimensions is a volume.

"If you combine 'number'.

"We can say that.

"A three-dimensional cube with an infinite number of two-dimensional faces. A two-dimensional surface containing an infinite number of one-dimensional lines. 1 one-dimensional line with an infinite number of points.

"Here, the '1' in a cube, a face, a line, and a point are all 1s, so what is the difference between these 1s?

"Why, a '1' line can contain an infinite number of '1' points. ”

"It's all the same '1', why can this '1' contain countless other '1'?"

The answer is obvious. ”

"That is, they are all '1s', but they have dimensions.

"A three-dimensional '1' can contain an infinite number of two-dimensional '1's, and a two-dimensional '1' can also contain an infinite number of one-dimensional '1's!"

"This is the dimension of numbers!

"So, in fact, the essence of number is a concept with objective existence, which makes number have the same dimensional properties as space!"

"The arrangement of numbers that we are usually used to is actually a one-dimensional manifestation of 'number'!"

"If you think about it in this way, you can solve many questions, including the Riemann conjecture!

"The reason why the distribution of prime numbers seems so irregular to human beings is because human beings have been studying the distribution of prime numbers from a one-dimensional perspective.

"In fact, the distribution law of prime numbers is a low-dimensional projection projected by a higher-dimensional 'number'. In the lower dimensions, it is naturally irregular, or it is impossible to find a pattern. But if you put the perspective on a higher dimension, maybe you can find the law of prime number distribution!"

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(The rabbit won't tell you, in fact, I'm an alien lurking on Earth, boring to write, revealing some heavenly opportunities to earthlings...... ）