The Omniscient

Chapter 698 Dimensional Truth



Information Omniscient ()!

The abyss is already cold, and Huang Ji actually wants all the dark interstellar forces supported by the Truth Society to be cold!

Occasionally Tuo said without hesitation: Okay, you go first.

Huang Ji smiled: You promised to exchange it with a virtual particle foam machine, but you suddenly attacked me...

By chance, Tuo spread his hands and said, I promised the deal, but I didn't say that I couldn't sneak attack you. When I bring you back, I will definitely keep my promise and give you the foam machine.

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

Huang Ji nodded and said: I believe, if you tell me to give it to me, it will definitely be given to me, just like the Valley of Chance.

But in order to squeeze out all my secrets, you took the opportunity to sneak attack while agreeing. This habit is not good.

Occasionally, Tuo was stunned, and then sneered: You are right in everything you say. Now that the bubble machine and the quantum wormhole star are in your hands, isn't it enough to exchange?

Now they are my trophies, why do you trade them with me? If you want a dimensional model, you can exchange it with pirates. Remember, you have already missed an opportunity. Huang Ji said leisurely.

The two of the Truth Society were silent, as if they were weighing the pros and cons.

The loss this time is not insignificant. If there is no gain, the authority in the Society of Truth will be reduced in the future, and the resources that can be controlled will be very few.

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

Umaha suddenly said: If it is enough valuable knowledge, we don't care about those pirates at all, so what if I leave it all to you...

However, the dimensional model is just your one-sided opinion, you have to prove to us that you own it!

As he spoke, Uzhenbo stared at Huang Ji with burning eyes.

Huang Ji smiled and said: It's actually very simple. For any dimension, its π value is the absolute value of the dimension.

The eyes of the two of them lit up. Occasionally Gu had already told them about this.

Of course, Huang Ji didn't say it directly before, but Gu Gu guessed that pi is the dimension value after hearing what he said.

At this moment, Huang Ji personally admitted,

Occasionally Tuo couldn't help but said: How do you prove it!

Huang Ji said: In a world where there is only length, there is no width and height. If you forcefully define a circle on a straight line, what is the ratio of its diameter to its circumference?

Occasionally Tuo replied instantly: There is no concept of a circle without length. If you have to define it, it is just a point. A point that does not exist in any diameter or circumference!

Yuzhenbo suddenly said: A point, no matter what concept is added to it, 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 is '1'.

This is one-dimensional, what about two-dimensional? Huang Ji laughed.

Umaha frowned and said, Two-dimensional... that is a circle on a normal plane, and the value of π is 3.1415926535...

Huang Ji shook his head and said: You are talking about the plane under the three-dimensional space-time. You are standing in your own dimension to overlook the circle, and you have a certain dimension to go up.

You have to remove your own factors, imagine a low-dimensional perspective with only length and width, and be in a world without height.

Umaha fell into deep thought, but couldn't imagine it.

Huang Ji spread out his palm, and a white neutron ball emerged from his palm.

It is incomparably round, and Huang Ji slashed in the air, just like playing fruit ninja, cutting the sphere.

The inside is hollow, and two bowl-shaped hemispheres are formed immediately!

Seeing this scene by chance, Tuo suddenly realized: It's 2!

Umaha said in astonishment: Why?

Occasionally, Tuo raised his hand and made two bowl-shaped hemispheres. He stretched out his hand to draw a black line on it, but it was drawn from the edge of the bowl, all the way along the valley in the bowl, and finally reached the edge of the bowl directly opposite the starting point of the black line. superior.

At this point, if Umaha doesn't understand anymore, he has been studying the dimension for so long.

He danced and said: Yes, yes, yes! In the case of only two dimensions, you can't measure the diameter from the middle, you 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 semicircular arc! The circumference is twice the diameter, that is, π is equal to 2!

To imagine a dimension, one must enter that perspective.

High-dimensional is unimaginable, but low-dimensional is still possible.

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

Up to this point, everyone is right, and the mistake is that when calculating the diameter, they used the perspective of their own three-dimensional creatures!

A three-dimensional person will directly draw a circle on the paper, then connect a central axis in the middle, pass through the center of the circle, and calculate the length, which is the diameter.

As everyone knows, this is a typical God's perspective!

In the actual 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 only high-dimensional creatures can go!

Ants can only crawl along the arc of the circle, but cannot 'stand up', let alone overlook the circle and crawl through the void in the middle! Then it is super-dimensional.

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

Then it climbed back to the South Pole from the North Pole along the sideline on the other side. Come out of a circle! So he announced happily: The circumference of a circle is twice the diameter! π is equal to 2!

If there is a God who insists that ants walk over the central axis and define the line of the circle with a bird's-eye view, it is equivalent to only drawing a straight line for the ants, which is definitely not possible!

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

Therefore, it is necessary to draw such a central axis on the back of the paper. The ants walk through the central axis once from the front of the paper, then come to the back of the paper, and walk down the second central axis back to the origin.

In this way, a total of twice the central axis of the front and back, the pi is still equal to 2.

Occasionally Tuo said with emotion: Then why is the three-dimensional not 3? Why is it an irrational number?

Huang Ji smiled and said: The dimensions we define are the most standard and concise dimensions. The actual multidimensional world is much more complicated than this. The value of π in a standard three-dimensional model is 3.

But we are not in the standard three-dimensional space-time, so the actual measured value is a bit larger.

The universe has ten dimensions, not 'ten' dimensions.

Between any two dimensions, there are countless dimensional space-times with 'excessive low-dimensionality' and 'not full high-dimensionality'.

Between 3 and 4, there are infinitely many numbers, and they are not empty.

The two of the Truth Society looked at each other, with bitterness in the corners of their mouths. There was such a big problem in their understanding of dimensions.

No wonder there has been no progress. Obviously, the engineering has been very developed, but in theory there are only major problems.

Can you prove it mathematically? Occasionally Tuo murmured.

Huang Ji smiled and said, I have a wonderful proof method, but your hard drive is too small to fit it.

Yuzhenbo said excitedly: How is it possible! If you say it can't fit, I will make this star into a quantum hard drive now!

Huang Ji shook his head and said, Even if you make all the matter in the observable universe into a quantum hard drive, it won't fit in it.

The two were horrified, and said in disbelief: How could it be so big! It's just a mathematical derivation, does it need all the matter in the universe to record it?

I took a two-dimensional picture of you, your height is zero, how big are you? Huang Ji smiled.

The two were silent, and the answer was that infinity tends to infinity...

Huang Ji explained: With the existing mathematical tools, it is difficult to strictly prove this point, because it is too low-dimensional. Calculation of high-dimensional with low-dimensional, the data tends to tend to infinity.

With one dimension missing, that's a world of difference.

So the dimensional model must apply a new mathematical tool. I can't use the existing classical mathematics to prove to you that the pi is the dimensional value.

This is the most difficult part of getting started with dimension technology. This is also the reason why many civilizations are stuck here.

The normal way is to first assume that π is the absolute value of the dimension, and then build a dimensional model. After successfully analyzing high-dimensional data, you can prove this point.

The quantum wormhole of the Truth Society has been very perfect in engineering, and the efforts of the Truth Society to soak in this way for 40,000 years are not in vain.

It's a pity that the data model has too many flaws, so there has been no qualitative breakthrough.

It seems that supercomputers are still using old and backward operating systems.

However, this problem is not a problem for Huang Ji at all. When he started to get in touch with Dimension Technology, he knew the matter of 'the absolute value of the number of dimensions where pi is located'.

It is equivalent to saying that nature has passed through a filter! Many theories of civilization would get stuck, so he just skipped over it.

Occasionally trembling with excitement, he roared, What exactly is a dimensional model?

Huang Ji guided: Actually, you can think of anything, think about it.

The two fell into deep thought, and Uzhenbo suddenly said: Since the absolute value of the dimension is π, the Cartesian coordinate system must be incomplete. It is better to use the spherical coordinate system.

However, how to express 3.1415926 coordinate axes? No matter how many dimension axes are drawn in the sphere, they are all integers!

Occasionally, Tuo glared and said, Tell us! Huang Ji! How do you do it?

Huang Ji tilted his head and said: If you can't think of it, go back and ask the geniuses in your agency, someone will definitely think of it. As long as you know the absolute value of π, it's only a matter of time before you build a model.

Yuzhenbo said impatiently: We have been abandoned for 40,000 years! I am dying of anxiety! Don't worry, I will personally capture all the leaders of the dark interstellar worlds for you! What do you want!

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

He rushed to Huang Ji's face, and he didn't care that he didn't have the protection of a unified force field.

Huang Ji didn't attack him either, but reached out and touched his head.

Yu Zhenbo didn't resist at all, his eyes were fixed on Huang Ji.

Huang Ji said: A single spherical coordinate system is of course not acceptable. It must be defined that any point on the surface of a sphere is not a 'point', but a 'spherical coordinate system'.

The brains of the two buzzed, and they suddenly realized.

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

This definition increases the dimension of the spherical coordinate system!

Huang Ji continued: You can't just define one layer. The small sphere on top of the big sphere is itself composed of countless smaller spheres. Repeating this way, the number of iterations is equivalent to the number of digits after the decimal point of pi is accurate.

Theoretically, it needs infinite iterations to be the perfect dimensional model.

In this model, any point with any three-dimensional coordinates on the largest sphere is simultaneously a different point on an infinite number of spherical coordinate systems.

Connecting all their values ​​together is an irrational number.

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

The two of them felt like they had found a treasure, their eyebrows were beaming, and they danced happily!

Occasionally Tuo laughed loudly and said, Hahaha! That's right! Just say any coordinate, in this model, it must be an irrational number.

After all, pi cannot be exhausted, and there is no absolute circle in the world. Enlarged to a sufficient scale, its edges must not be round, otherwise it would not be an irrational number.

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

The dimensional model given by Huang Ji is also the same. Every inch of the sphere, when zoomed in, is not a round surface, but a fractal structure composed of countless smaller spheres.

In real life, the model does not need infinite iterations, and it is basically enough to iterate to the -35th order of 10.

Iterate further, but the more iterations, the more accurate it is.

It's like finding the value of π. Finding tens or hundreds of digits can be applied to most calculations. Finding hundreds of millions of decimal places is just showing off your computing power.

This multi-dimensional body function model is coupled with the perfect dimensional evolution formula discovered by Huang Ji, and combined with the knowledge on the two exploration paths of Taiwei Chinese and Zhenshe.

Huang Ji successfully developed the high-dimensional communication technology of high-dimensional technology.

The Society of Truth spent a lot of resources to build a quantum integrated wormhole, but it was just passing fuzzy and messy data, and it took a long time to figure it out.

In contrast, Huang Ji can easily send data over long distances with only one quantum wormhole and a small amount of energy.

As long as you know the soul model of the other party, even if you are on the edge of the universe, you can send a message instantly.

This efficiency has been improved by an unknown amount, and it is simply an exponential leap.

This is exactly the qualitative breakthrough that the Truth Society has dreamed of.

That's right! That's right! Woohoo! That's it! The two were so happy that they wept.

What is their coveted knowledge? That is when they find out, they immediately know 'this is it'!

What is the truth, that is, the moment you hear it, you know it is the truth.

Next, the two asked many detailed questions like a cannonball: How to define the specific scale? For example, the center of the ball, is it directly defined as 1 or zero?

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

Huang Ji only gave the model structure, but this is not the whole of the dimensional model. The actual model must be much more complicated than this, and there must be related decomposition equations and evolution formulas...

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

The spool can be infinitely long, but Huangji’s model, although infinitely iterative inwards, has a limited ‘total boundary’ and is only ‘bounded and boundless’.

So this sphere cannot be an infinite sphere, otherwise this model is meaningless.

This also proves that the universe is actually finite.

They asked many questions and looked at Huang Ji expectantly.

However, Huang Ji scolded with a straight face: It's all come to this point, and I don't know what to do with the rest? Ask me everything, I don't know how to do it myself!

The two froze for a moment.

Huang Ji said solemnly: The structure is here, you go back and finish it yourself, write a paper later, and send it with the pirates in the dark interstellar.

If you are unqualified, the pirates don't need to send it away! Don't come to me in the future.

What this said, there is actually a problem, pirates are part of the deal, Huang Ji gives knowledge, and they catch pirates. Sending the pirates back is a natural fulfillment of the agreement.

However, Huang Ji said that the paper is unqualified, so the pirates don't need to send it!

It's as if the Truth Society's arrest of the peripheral pirates is their own business...

However, the two people in the Truth Society didn't notice something wrong in their instinctive emotions. Instead, they were anxious: Why can't it be done! Give me time and it will be done!

I'll give you the paper later! I'll blow myself up on the spot if I fail! Just wait for me!

...

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