Chapter 126: Riemann

As Asgard was rubbed into the picture scroll, the space fragments that Asgard had originally relied on for its survival also became empty, leaving only thousands of suspended miniature stars, and Leon standing in the void with an indifferent face.

The 42-gram scroll sat in Leon's hand, and no matter how those miniature stars emitted a surging and screaming light and heat, they couldn't penetrate the spatial fold barrier that Leon had set up casually. Inflict any damage on the scroll itself.

Malekith was fortunate to be the overlord of the Nine Realms, with a wealth of life experience, and the possession of aether particles, which allowed him to easily see through the "truth" of most things in this world.

But at the same time, he is also unfortunate that his ability to see through the essence of things does not allow him to understand the act of "rubbing an entire world into a picture".

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

Malekis clenched his teeth, looked at Leon who was holding up the scroll, and said with difficulty: "However, the act of using the artifact will have a huge load on the user,

This load is not only a weakening of the physique, but also something more essential about the spirit, the will, the intellect, the soul, and even the life of the individual.

If I were to use real gems, I would barely be able to achieve this effect of rubbing the world into a painting. But that would only leave me with the Reality Gem as a dried corpse, or simply burned to ashes.

Even if Leon is stronger than me, it is only limited in strength - even if he is, it is impossible to pack Asgard without paying any price! ”

Malekith roared under his breath, as if trying to convince himself that his worldview was on the verge of collapse and that he would not run away.

Holding the Cosmic Rubik's Cube and being able to ignore the concept of "distance", Li Ang could communicate with the other party in real time, and immediately smiled and said indifferently: "You are right, if individual lives rely solely on their minds to drive the Cosmic Rubik's Cube to achieve this effect, it will only make individual lives age and die early."

However, as long as you find the right law, use the Cosmic Rubik's Cube at the right time and in the right place, and make a little interference, you can make the whole space fold by itself, and perfectly avoid the load of the Cosmic Rubik's Cube on the user. ”

Malekith subconsciously grew his mouth as if listening to a book from heaven, and said, "... Is this possible? ”

“.... Alas, I used to think that most of the advanced civilization races in the galaxy, although the cultural differences between them are extremely huge, should be on the same level of understanding of the truth of the universe.

But the information brought by the Zetarians told me the truth about this galaxy - the difference in the level of understanding of the universe among the higher civilizations is extremely huge.

A higher civilization that can pick up the stars and the moon and cross the void may never point out the basic subject of 'mathematics'.

And a species that lives deep in rock formations and relies on microorganisms in the soil to survive is not necessarily incapable of understanding the secrets of the cosmological constant.

Maybe you dark elves can build giant star destroyers and completely crush human civilization in terms of technology, but you don't necessarily know more about the physical laws of the universe than humans.

In that case, I'll have to explain it to you in a way that you can understand. ”

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

Inexplicably, Malekith felt a chill run through his body, and he was keenly aware of the fact that Leon looked at him as if he were staring at a mentally handicapped person who was underdeveloped.

"Humans are arrogant, arrogant, and rude..."

Malekith's heart was full of thoughts, but he didn't show it, and if Leon could answer his doubts, it didn't seem unacceptable to accept contempt for the time being.

"In 1857, in the seventh year of Xianfeng of the Qing Dynasty, a national uprising broke out in India, a locust plague broke out in Jiangxi, China, Shi Dakai left Tianjing, and the French inventor Scott invented the sonic vibrator - this is the earliest tape recorder."

"That year, the German mathematician Bonhard Riemann made his debut on stage and gave a lecture entitled 'On the Assumption as the Basis of Geometry', which pioneered Riemannian geometry and provided the mathematical basis for the general theory of relativity decades later. ”

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

"Riemann initiated the systematic study of topology, revolutionized algebraic geometry, and promoted the progress of differential geometry. And his idea of geometry was given a new lease of life after it met the general theory of relativity."

As he spoke, Leon pulled out two lines in the air, one straight and the other arc, and the two lines corresponded to each other.

"The opposite of Riemannian geometry is Euclidean geometry.

Euclidean geometry must be expressed in terms of horizontal and vertical Cartesian systems, which are simply the xy coordinate systems that students are exposed to in middle and high school, and the base scaler vector is an absolute straight line comparable to a straight man of steel, with a slope of 0,"

Leon pointed to the straight line.

"Riemannian geometry, on the other hand, is curved in that its base vector is curved, an arc with a slope greater than 0."

Leon pointed to the arc.

The two lines, under the command of Leon, soon changed. Two other lines appear at the position of the line, which together establish a three-axis coordinate system composed of three lines.

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

"According to the Euclidean geometry with the slope of the base scaler vector of 0, the established Euclidean space is essentially straight.

According to the Riemannian geometry with the slope of the base table vector greater than 0, the established Riemannian space is curved in nature.

Now, Your Majesty Malekis, please also tell me whether the universe in which we live is closer to Euclidean space, or closer to Riemann space? ”

Although the dark elves to which Malekith belonged had no interest in exploring this mathematical law, they were still well aware of the information that could be called the basic common sense of advanced civilization.

"There is an uneven measure of space in the universe, and if you combine what you said, it should be closer to Riemann space."

"That's right."

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

Gravitational force is a geometric phenomenon that reacts to space distortion.

A huge gravitational field, like an invisible and massless iron ball, will pull the surrounding 'space' inward, precipitate downward, and form curvature.

The spatial distortion effect caused by this gravitational field is difficult to describe correctly in Euclidean space.

However, if the space warp effect caused by gravity is placed in the already distorted Riemann space, it can be correctly resolved.

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

Speaking of which, Malekis's train of thought could barely keep up with the other party, but he was still a little confused, and he didn't know what all this had to do with Leon's method of printing Asgard.

As if seeing the other party's confusion, Li Ang smiled: "Then the question is, how can an investigator in the distorted space created by the gravitational field perceive the distortion of space?" ”

Malekith pondered for a moment, frowned, and said, "Observers in distorted space cannot directly perceive spatial distortion. ”

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

For example, a ship sails out of a harbor farther and farther away, and the sails of the ship always disappear last, so that it can be deduced that the earth is round. ”

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

Transposition, teleportation, and subspace switching are all effects of tampering with the curvature of space.

But what if I'm not tampering with the curvature of the space I'm in? What if I modified the coordinate system of the space? ”

Malekith's heart was shocked, he guessed what Leon had done almost instantly, pointed at the other party and said with difficulty: "You, you are the base vector of Asgard, distorted and transformed, making it larger than the normal universe.

From a macro point of view, it is to become a plane! ”

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