Chapter 700

The abyss is cold. Huang Ji even wants all the dark interstellar forces supported by the truth society to be cool!

Accidentally Tuo said without hesitation, "well, you say it first."

Huang Chi smiled: "before you promised to use virtual particles foam machine to change, and suddenly sneak attack on me......"

By chance, he opened the stall and said, "I promise to trade. I didn't say I can't attack you secretly. When I bring you back, I will keep my promise and give you the foam machine.

"Well, you don't believe it..."

Huang Jiji said, "I believe it. If you give it to me, you will give it to me. It's like the valley of chance."

"But in order to squeeze out all my secrets, it's not a good habit for you to sneak on me when you promise."

By chance, he was stunned, and then laughed at him. "What do you say is right? Now, the bubble machine and quantum worm hole are all in your hands. Are you still not enough to exchange?"

"Now they are my spoils. Why do you trade them with me? If you want a dimensional model, trade pirates for it. Remember, you've missed an opportunity. " Huang Ji leisurely way.

The two members of the truth society were silent and seemed to weigh the pros and cons.

This time, the loss is not heavy. If there is no harvest, the authority of truth society will be reduced in the future, and there will be very few resources at our disposal.

Of course, these are not important, the important thing is that knowing that Huang Ji has the knowledge they dream of, they can only leave in frustration, which is really not reconciled.

Yuzhenbo suddenly said: "if it's enough valuable knowledge, we don't care about those pirates at all. How about giving it all to you..."

"But the dimensional model is just one side of your story. You have to prove to us that you have it!"

Say, Yu true wave vision is burning to stare at Huang Ji.

Huang Ji said with a smile: "in fact, it's very simple π The value is the absolute value of the dimension

Two eyes a bright, about this point, accidental Valley has told them.

Of course, Huang Ji didn't say it directly before. It was an accident. After listening to him, Gu guessed that PI was the dimension value.

At the moment, Huang Ji admits that he can't help saying: "how do you prove it?"

Huang Ji said, "in the world of length, there is no width or height. If you force a circle on a straight line, what is the ratio of its diameter to its circumference?"

Occasionally, he replied: "without length, there will be no concept of circle at all. If it has to be defined, it is a point. A point with no diameter or perimeter! "

Yuzhenbo suddenly said: "a point, no matter what concept is added to it, is the same, so its diameter is equal to the circumference, and the infinite power of the diameter is still equal to itself! That's "1."

"This is one dimension. What about two dimensions?" Huang Ji said with a smile.

Yuzhenbo frowned and said, "two dimensions... That's a circle on a normal plane, π The value is 3.1415926535.... "

Huang Ji shook his head and said, "you are talking about the plane under three-dimensional space-time. You are standing in your own dimension to overlook the circle, and you bring your own dimension."

"You have to get rid of your own factors and imagine that you have only a long and wide low dimensional perspective and that you are in a world without height."

Yuzhenbo is lost in thought, but he can't imagine it.

Huang Ji spread out his palm, and a white neutron ball appeared in the palm.

It's extremely round. Huang Ji cuts the ball in the air like a ninja playing with fruit.

Inside is hollow, suddenly formed two bowl shaped hemispheres!

When he saw this scene, he suddenly realized, "it's 2!"

Yuzhenbo was shocked and said: "why?"

By chance, Tuo raised his hand and made two bowl shaped hemispheres. He reached out and drew a black line on them, but he rowed all the way along the concave valley of the bowl from the edge of the bowl to the edge of the bowl directly opposite the starting point of the black line.

To this yuzhenbo no longer understand, white research for so long.

He danced and said, "yes, yes! In the case of only two dimensions, the measurement of diameter can not go from the middle, but must go along the edge of the circle to the opposite

"So in a two-dimensional perspective without the concept of height, the diameter of a circle is equal to its semicircle arc! The circumference is twice the diameter, i.e π It's two! "

If you want to imagine a dimension, you have to substitute that perspective.

High dimension can't imagine, low dimension can.

A two-dimensional circle is the cross section of a sphere. Draw it on a piece of paper, then draw an ant and let it climb on the circle.

Up to now, we are all right. The mistake is that we used our own three-dimensional biological perspective to calculate the diameter!

Three dimensional people will directly draw a circle on paper, then connect a central axis in the middle, pass through the center of the circle, calculate the length, and this is the diameter.

But as everyone knows, this is a typical perspective of God!

In the real two-dimensional world, two-dimensional ants cannot pass through the so-called "central axis" in the middle, which is outside the universe! That's the way high dimensional creatures can go!

Ants can only climb on the arc of a circle, but they can't "stand up," and they can't look down on the circle and climb through the nothingness in the middle! Then it's super dimensional.

When it climbs from the south pole of the circle to the north pole along the sideline, the ant scientist knows: "this is the diameter of the circle, it's D!"

Then it crawled back to the south pole from the north pole along the sideline on the other side. Out of a circle! So happily announced: "the circumference of the circle is twice the diameter! π It's two! "

If there is a God who wants ants to walk past the central axis and define the line of the circle from a perspective of overlooking, it is equivalent to drawing only a straight line for ants, which is definitely not good!

Because the definition of a circle, must be able to go all the way from the starting point, back to the origin, this is called a circle!

So we have to draw another axis on the back of the paper. The ant passes through the central axis once from the front of the paper, then to the back of the paper, and goes down the second central axis to return to the origin.

In this way, the PI is still equal to 2 after passing through the central axis which is twice the front and back.

"Why is 3D not 3?" he said? Why is it an irrational number? "

Huang Ji said with a smile: "the dimensions we define are the most standard and concise. In fact, the multi-dimensional world is much more complex than this, and the standard three-dimensional model is more complex π That's three. "

"But we're not in the standard three-dimensional space-time, so the actual measurement is a little bit larger."

"There are ten dimensions in the universe, not the ten dimensions."

"Between any two dimensions, there are innumerable dimensions of time and space, which are" low dimension excess "and" high dimension under full. "

"There are infinitely many numbers between 3 and 4, but they are not empty."

Truth society two people look at each other, the corners of their mouths are full of bitterness, their dimensional understanding has such a big problem.

No wonder there has been no way to make progress. It is clear that engineering has been very developed, but in theory there are only big problems.

"Can you prove it mathematically?" By chance, he murmured.

Huang Ji said with a smile: "I have a wonderful proof method, but your hard disk is too small to fit."

Yuzhenbo said excitedly: "how can it be! If you can't fit it, I'll make this star into a quantum hard disk now! "

Huang Ji shook his head and said, "even if you make all the matter in the observable universe into a quantum hard disk, you can't fit it."

They were shocked and said, "how could it be so big! It's just a mathematical deduction. Can we use the matter of the whole universe to record it? "

"I'll take you in two dimensions. Your height is zero. How big are you?" Huang Ji said with a smile.

They are silent. The answer is that infinity tends to infinity

"It's hard to prove this strictly with the existing mathematical tools, because it's too low dimensional," Huang explained. If we calculate the high dimension from the low dimension, the data will tend to infinity. "

"Without one dimension, it's a world of difference."

"So the dimension model must apply new mathematical tools. I can't use the existing classical mathematics to prove that Pi is the dimension value."

"That's the hardest part about getting started with dimensional technology. That's why many civilizations are stuck here. "

"The normal way is to assume first π After successfully parsing high-dimensional data, we can disprove this point. "

The quantum wormhole of the truth society has been very perfect in engineering. The efforts of the truth society in this field for 40000 years are not in vain.

Unfortunately, the data model has too many defects, so there is no qualitative breakthrough.

It's as if supercomputers are still using old and outdated operating systems.

However, this problem is not a problem at all for Huang Ji. When he began to contact dimension technology, he knew that "Pi is the absolute value of the number of dimensions in which he is located.".

That is to say, nature has stepped through a filter! A lot of civilized theories get stuck, and he jumps over them.

Occasionally, Tuo trembled excitedly and growled, "what's the dimensional model like?"

Huang Ji said: "in fact, you can think of, think more."

When they were lost in thought, Yu Zhenbo suddenly said, "since the absolute value of dimension is π， The Cartesian coordinate system is certainly incomplete. It's better to use the spherical coordinate system. "

"But how to express 3.1415926 axes? No matter how many dimension axes are drawn in the ball, they are all integers

"Tell us," he said! Huang Ji! How to do it? "

Huang Ji tilted his head and said, "if you can't think of it, go back and ask the genius in your society. There must be someone who can think of it. As long as you know the absolute value, it's worth it π， It's just a matter of time to build a model. "

Yuzhenbo said impatiently: "we have been abandoned for 40000 years! I'm in a hurry! Don't worry. I'll catch all the leaders of the dark stars myself! What do you like

"Knowledge! Knowledge! I want to know what it is now! It must be beautiful! It must be beautiful! "

He rushed to Huang Ji's face and didn't care that he didn't have a unified force field to protect himself.

Huang Ji did not sneak attack, but reached out and touched his head.

Yuzhenbo does not have any resistance, eyes staring at Huangji.

"Of course, a single spherical coordinate system can't work. You have to define that any point on the surface of a sphere is not a 'point', but a 'spherical coordinate system'," Huang said

Two brain buzz, suddenly.

Such a big ball is composed of infinitely many spherical coordinate systems, which is quite different from "a straight line is composed of infinitely many points" in conventional mathematical tools.

This definition, the spherical coordinate system dimension!

Huang Ji continued: "you can't just define one layer. The small sphere above the big sphere itself is also made up of countless smaller spheres. So repeatedly, the number of iterations is equivalent to the number of digits after the decimal point of PI

"Theoretically, infinite iteration is the perfect dimensional model."

"In this model, any three-dimensional coordinate point on the largest sphere is also an infinite number of different points on the spherical coordinate system."

"It's an irrational number to connect all their values."

"This is the functional expression of" three-dimensional coordinate system under multi-dimensional body ", which also involves three-dimensional chaotic fractal."

Two people like to get treasure, eyebrows, happy to dance!

"Ha ha ha," he said with a loud laugh! you 're right! Any coordinate, in this model, must be irrational. "

After all, PI cannot be exhausted. There is no absolute circle in the world. If the scale is large enough, the edge must not be round, otherwise it will not be an irrational number.

As long as there is no "infinite computer", then the dimensional model can only be more accurate, not the most accurate.

Huang jigei's dimensional model is the same. Every inch of the sphere, when magnified, is not a round surface, but a fractal structure composed of countless smaller spheres.

In real life, the model does not need infinite iteration, and can be iterated to the - 35th power of 10, which is basically enough.

If we continue to iterate, the more we iterate, the more accurate we are.

It's like asking for help π It can be used in most calculations to find tens of hundreds of places. To find hundreds of millions of places after the decimal point is just a show off of computational power.

This multidimensional body function model, coupled with Huang Ji's perfect dimensional transformation formula, and combined with the knowledge of Taiwei Chinese and truth society.

Huangji has successfully developed the high dimensional communication technology of "high dimensional technology".

Truth society spends a lot of resources to build quantum integration wormhole, which is just to transfer fuzzy and chaotic data. It will take a long time to grind haw's calculation.

In contrast, the Yellow pole can easily send data over a distance with only one quantum wormhole and a little energy.

As long as you know each other's soul model, even if you are in the edge of the universe, you can also instantly communicate.

This efficiency has been improved by an exponential leap.

This is the quality breakthrough that the truth society dreams of.

"Exactly! That's it! Whoa, whoa! That's it They were so happy that they cried with joy.

What is their dream knowledge? That is, when they find out, they immediately know "it is it"!

What is truth, that is, when you hear it, you will know it is truth.

Next, they asked many detailed questions like "how to define the specific scale? For example, is the center of the ball directly defined as 1 or zero? "

"How long is the diameter of this spherical coordinate system defined? Infinity? "

Huang Ji only gives the model architecture, but this is not the whole of the dimensional model. The actual model must be much more complex than this, and there must be relevant decomposition equations and transformation formulas

The workload is not large. It can be said that many of the original mathematical tools have to be updated.

The spool can be infinitely long, but although the model of Huangji iterates infinitely inward, its "total bound" is limited, just "bounded and boundless".

So this sphere can't be an infinite sphere, otherwise this model doesn't make sense.

It can also prove to the contrary that the universe is actually limited.

They asked many questions and looked at Huang Ji expectantly.

However, Huang Jiban scolded: "it's all here, and I don't know how to do the rest? Ask me everything, I can't do it myself! "

Two people immediately one stagnates.

Huang Ji said seriously, "the structure is here. Go back and finish it yourself. Write a paper and send it with the Pirates of the dark star."

"If it's not up to standard, pirates don't have to send it! Don't come to me any more. "

There's something wrong with this. Pirates are part of the trade. Huang Ji gives them knowledge. They catch pirates. It's a reasonable agreement to send the pirates back.

However, Huang Ji said, the paper is not qualified, pirates do not have to send!

It's as if the pirates outside the Pravda are their own business.

However, in their instinctive emotions, they didn't hear anything wrong. Instead, they were very anxious: "why can't they do it! Give me time and I'll get it done! "

"I'll give you the paper later! If I'm not qualified, I'll blow myself up in place! You wait for me! "

……

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