The Memoirs of Cultivating Immortals

Chapter 439 Riemann
As Asgard was rubbed into the picture scroll, the space fragments that Asgard originally depended on for survival also became empty, leaving only thousands of floating miniature stars, and standing in the void with an indifferent expression. Leon.

The picture scroll with a total weight of 42 grams was placed in Li Ang's hands. No matter how the light and heat of those miniature stars radiated frenziedly and screechingly, they couldn't penetrate the space fold barrier that Li Ang set up at will.Cause any damage to the scroll itself.

Malekith was very lucky. He was once the overlord of the Nine Realms, and he had extremely rich life experience. In addition, he possessed ether particles, which allowed him to easily see through the "truth" of most things in this world.

But at the same time, he is also very unfortunate. The ability to see through the essence of things does not allow him to understand the behavior of "rubbing the entire world into a picture scroll".

"The Cosmic Rubik's Cube certainly has all kinds of incredible powers, and it can achieve all kinds of strange effects beyond common sense and reason,"

Malekith gritted his teeth, looked at Li Ang who held up the scroll, and said with difficulty: "However, the act of using a divine weapon will place a huge burden on the user.

This kind of load is not only a physical weakening, but also more essential things such as spirit, will, reason, soul and even individual life.

If I use reality gems, I can barely achieve this effect of rubbing the world into paintings.But that would just get me mummified by the Reality Gem, or burned to ash.

Even if Li Ang is stronger than me, his strength is limited - even if he is, it is impossible to take Asgard away without paying any price! "

Malekith roared in a low voice, as if he was trying to convince himself that his world view that was on the verge of collapse could barely stabilize, so that he would not run away.

Holding the Cosmic Rubik's Cube, Li Ang, who can ignore the concept of "distance", can communicate with the other party in real time, immediately smiled, and said calmly: "You are right, if an individual life relies solely on ideas to drive the Cosmic Rubik's Cube to achieve this effect , will only cause the individual life to age and die prematurely.

However, you only need to find out the rules, use the Cosmic Rubik's Cube at the right time and at the right place, and make a small intervention, you can make a big difference, let the entire space fold by itself, and perfectly avoid the load of the Cosmic Rubik's Cube on the user. "

Malekith opened his mouth subconsciously as if he was listening to a book from heaven, and said in a low voice, "...Is this possible?"

"... Well, I always thought that most of the advanced civilizations in the galaxy, although the cultural differences between them are extremely huge, should be on the same ladder in their understanding of the truth of the universe.

However, the information brought by the Chitauri told me the truth about the Milky Way—the difference in the degree of cognition of the universe between advanced civilizations is extremely huge.

An advanced civilization that can reach the stars, reach the moon, and cross the void may never point out the basic subject of 'mathematics'.

And a species living deep in the rock formation and relying on the microorganisms in the soil may not be unable to understand the secret of the constant of the universe.

Maybe you dark elves can create giant star destroyers and completely crush human civilization at the technical level, but you don't necessarily understand the physical laws of the universe better than humans.

That being the case, I have no choice but to explain it to you in a way that you can understand. "

Li Ang shook his head, looking at Malekith with a hint of sympathy in his eyes.

Inexplicably, Malekith felt a chill running through his body, and he was keenly aware of the fact that the way Li Ang looked at him was like staring at an underdeveloped mentally handicapped person.

"Human beings are really arrogant, arrogant, and rude."

Thousands of thoughts welled up in Malekith's heart, but he didn't show it. If Li Ang could answer his doubts, it seemed that it would not be unacceptable to temporarily accept contempt.

"In 1857 AD, the seventh year of Xianfeng Emperor Wenzong of Qing Dynasty, a national uprising broke out in India, and locusts plagued Jiangxi in Huaguo. Shi Dakai left Tianjing, and the French inventor Scott invented the sound wave vibrating recorder-this is the earliest tape recorder."

Li Ang said indifferently: "That year, the German mathematician Bernhard Riemann made his debut on the stage and gave a speech entitled 'On the Hypothesis as the Foundation of Geometry', which created Riemannian geometry and laid the foundation for the general theory of relativity decades later. Provides a mathematical basis."

Malekith was a little confused. He was not interested in many affairs on Earth, and he was not in the mood to study the connections behind these events.

"Riemann started the systematic study of topology, revolutionized algebraic geometry, and promoted the progress of differential geometry. And his geometric concept, after encountering general relativity, glowed with new vitality,"

As Li Ang spoke, he drew two lines in the air, one was a straight line and the other was an arc, and the two lines corresponded to each other.

"The opposite of Riemannian geometry is Euclidean geometry.

Euclidean geometry must be expressed in the horizontal, flat and vertical Cartesian system. Simply put, it is the xy coordinate system that students in junior high school came into contact with. The base vector is an absolute straight line comparable to a straight man of steel, with a slope of 0. "

Li Ang pointed to the straight line.

"The Riemannian geometry is different. Its base vector is curved, which is an arc with a slope greater than 0."

Li Ang pointed to the arc.

The two lines changed quickly under Li Ang's command.Two other straight lines appeared at the position of the straight line, and jointly established a three-axis coordinate system composed of three straight lines.

In contrast, two other arcs appeared around the arc, forming a twisted and weirdly curved coordinate system.

"According to the Euclidean geometry whose base vector slope is 0, the Euclidean space established is straight in essence.
However, according to the Riemannian geometry whose base table vector slope is greater than 0, the Riemannian space established is curved in nature.

Now, His Majesty Malekith, please tell me, is the universe we live in closer to Euclidean space or Riemannian space? "

"." Although the dark elf group that Malekith belongs to has no interest in exploring such mathematical laws, they are still familiar with the information that can be called the basic common sense of advanced civilization.

"There is a non-uniform measurement in the space of the universe. If you combine what you said, it should be closer to the Riemannian space."

"Yes."

Li Ang snapped his fingers and said with a smile: "Whether it is Riemannian space or Euclidean space, it is just a virtual mathematical concept used to describe the world we live in.

Gravity is a geometric phenomenon that responds to space distortion.

A huge gravitational field, like an invisible iron ball, will pull the surrounding 'space' inward, settle down, and form a curvature.

The space distortion effect caused by this gravitational field is difficult to be correctly described in the Euclidean space,

However, if the space distortion effect caused by gravity is placed in the already distorted Riemannian space, it can be correctly analyzed.

This is why Riemannian geometry is a precondition for the theory of relativity. "

Having said that, Malekith's thinking can still barely keep up with the other party, but he is still a little confused. He doesn't know how all this has anything to do with Li Ang's technique of printing Asgard.

Seemingly seeing the other party's confusion, Li Ang smiled and said, "Then the question is, how can an observer in the distorted space created by the gravitational field perceive the distortion of the space?"

Malekith pondered for a moment, frowned and said: "Observers in the distorted space cannot directly experience the space distortion."

"That's right, it's like the ignorant human beings in ancient times couldn't directly perceive the truth that 'the earth is round'. The observer must pass through another flat space to perceive the curvature of the plane.

For example, the ship sails out of the harbor and goes farther and farther away, but the sail of the ship always disappears last, so that it can be deduced that the earth is round.

Another example is that when light passes through a huge celestial body, it will be distorted by the gravitational field. "

Li Ang spread his palms to suspend the Cosmic Rubik's Cube in the air, pointed to the straight blue crystal, and said calmly: "The real function of the Cosmic Rubik's Cube is to distort the space, to tamper with the curvature of the space where the user is.

Shape shifting, teleportation, and subspace switching are all effects of changing the curvature of space.

But what if I'm not tampering with the curvature of the space I'm in?What if I modify the curvature of other spaces? "

Malekith was shocked, he guessed what Li Ang did almost instantly, pointed at him and said with difficulty: "You, you twisted and transformed Asgard's base vector to make it larger than the normal one. cosmic space.

From a macro point of view, it becomes a plane! "

(End of this chapter)