Chapter 340

In Shinichi Moboi's theory of intercosmic Teichmüller, there is a word that is often mentioned.

That's it – restoration!

In this new mathematical system constructed by Shinichi Mojii, he dismantled the addition and multiplication structures attached to the numbers at the same time, deformed them separately, and then restored them.

In other words, in Shinichi Mochii's system, addition no longer represents addition, and multiplication is also not represented by multiplication symbols.

This practice, first dissolving the root cause and then reverting to it, is quite strange even for mathematicians who have been in the field of abstract reasoning for a long time.

And the system of Shinichi Wangi depends on the feasibility of this restoration.

If his system is correct, if his restoration is successful, it will bring about a revolution in the algebraic geometry branch of mathematics.

Take, for example, the proof of the ABC conjecture. For example, eventually understand the relationship between addition and multiplication.

Shinichi Mowai's status in the mathematical community will be on the same level as Wiles, who proved Fermat's conjecture, and Perelman, who proved Poincaré's conjecture.

But......

But now, not many mathematicians can read his proof!

A new theoretical system is not recognized by the mainstream mathematical community, and Shinichi Wangi, as the founder of this system, is certainly not enough to reach the level of being passed down through the ages.

As he grew older, there were more and more doubts about the theory of the intercosmic Teichmüller.

Shinichi Wangi finally couldn't help it.

With a strong sense of urgency, Shinichi Mojii abandoned the idea of cherishing himself, and agreed to the invitation of the Clay Institute of Mathematics to go out of the mountain to start this study class.

The purpose is simple......

It is to make his theory more understandable to more people, and it is gradually recognized by the mainstream mathematical community.

Strong blind optimism, coupled with confidence in his own strength, made Shinichi Mojii not feel that there were any loopholes in his theory.

The reason why it is not recognized by the mainstream mathematical community is that there are not many mathematicians who are proficient in this area.

............

Inside the classroom.

The study continues.

Shinichi Wangi starts from the most basic structure, P into an integer, and elaborates from the beginning.

What is p into an integer?

The quickest and easiest definition for mathematicians is:

For the prime number p, the projection limit of (Z/p^nZ)n≥1.

It's a good definition for mathematicians, but it's like an alien language to the average person.

However, P into an integer is not that complicated after all.

Take the simplest chestnut~~

When p=7 is taken, the following numbers are p-rounded:

...... 00000000000000000042

...... 30211045064302335342

...... 12450124501245012450

(That's right, the ellipsis is in front)

Each p into an integer can be seen as a string of numbers that extend to infinity to the left high position.

But they're not infinite, each of them is different, and it makes sense to write it this way.

Next, here's the point!

On a p integer, addition and multiplication can be defined.

And the calculation method is the same as we are familiar with, starting from the low position, and then slowly carrying the calculation, just like the never-ending addition and multiplication.

Subtraction and division are also defined in this way.

P to an integer, like the integer we are familiar with, has four operations.

At this point, Shinichi Mochii's theory is still within the framework of the conventional mathematical system.

But next.

Shinichi Mowai further extended the P into an integer.

Shinichi Mowai introduced the concept of 'absolute value'.

Based on this absolute value, we can think of all p integers as a space, and its structure is given by this absolute value, which is the distance between two points.

But it's a weird space, where each triangle is an acute isosceles triangle, and if you take a sphere, every point in the sphere is the center of the sphere.

Because Shinichi Mowai found that the theory constructed from p into an integer was still not enough to grasp the number theory structure that he wanted to study.

So use the concept of absolute value.

Shinichi Wangi realized the transformation of the P into a more universal P integer.

To construct the intercosmic Teichmüller theory, it is necessary to use the tools of both far-abelian geometry and representation theory.

However, the two are incompatible and difficult to reconcile.

In order to achieve a compromise, Shinichi Mowai needed to break down the basis of the theory, that is, the most basic operations, into two parts, addition and multiplication, and dissolve them into more complex and abstract structures.

Then, through the interaction and deformation of these structures, the desired properties are obtained, and finally it is proved that these structures can be restored to some kind of addition and multiplication.

Of course, as mentioned earlier, the addition and multiplication in Shinichi's theory are unrecognizable, not based on the same set of numbers as usual in addition and multiplication, but rather strange.

This is also the reason why many mathematicians understand Shinichi Wangi's theory, which is very obscure.

............

Shinichi Moboi's theory of the universe Teichmüller began to unfold based on the number of P advances.

However, the position of the P advance number itself in this theory is equivalent to the natural number in the mathematics of the college entrance examination, which is only the most basic masonry.

The discussion of P-incubation takes up less than two pages in the 512-page paper.

However, the basic theory of the P advance number alone is enough to dissuade 90% of mathematicians who come to read their papers.

As for the patience to read the entire 512-page paper of Shinichi Mochii, there are even fewer of them.

Standing on the podium, Shinichi Mowai spat and told how he had a flash of inspiration and regarded P as the cornerstone of his new theory.

And underneath the podium.

Gu Lu is brain automatically filtered out the useless information in Wangjing Shinichi's words, and at the same time lowered his head to read Wangjing Shinichi's paper.

This is not the first time Gu Lu has read this paper.

The first time Gu Lu saw this paper was when he was studying for a Ph.D. in Princeton a few years ago.

At that time, Gu Lu gnawed more than 100 pages, but he really couldn't gnaw and gave up helplessly.

For Gu Lu at that time, Mochizuki Shinichi's paper was still too abstract and empty.

Obviously it is an article in the field of algebraic geometry.

What Gu Lu saw was the text and formulas throughout, not even a geometric drawing.

It's simply anti-human!

At that time, Gu Lu's reasoning power and spatial force attribute values were very low, and of course he couldn't cope with a paper of such difficulty.

But now it's different.

Gu Lu's current values are at least twice as much as they were at that time.

In the face of Shinichi Mojii's paper, it cannot be said to be easy.

But there is still not much problem in reading it.

Moreover, Gu Lu's doubts when he read Wangjing Shinichi's paper a few years ago can now be solved one by one.

It was foggy before.

Now Gu Lu sees a smooth road.

Gu Lu listened to Shinichi Wangi's lecture while re-studying Shinichi Wangi's paper.

In terms of the construction of the theory, Gu Lu really could not find any loopholes in this paper.

But......

Gu Lu always felt that something was not right!