Chapter 126 Riemann
As Asgard was rubbing into the scroll, the fragments of space that originally relied on to survive in the Immortal Palace became empty, leaving only thousands of floating miniature stars, and Li Ang, who was standing in the void with a calm expression.
The scroll with a total weight of 42 grams is still in Li Ang's hands. No matter how the miniature stars emit a gust of light and heat, it cannot penetrate the space wrinkle barrier that Li Ang sets casually. It causes any damage to the scroll itself.
Malekis is very lucky. He was once the overlord of the Nine Realms, had extremely rich life experience, and had etheric particles, which allowed him to easily see through the "truth" of most things in this world.
But at the same time, he was also unfortunate that his ability to see through the essence of things did not allow him to understand the behavior of "printing the entire world into a picture".
"Although the universe Rubik's Cube has all kinds of incredible powers, it can achieve all kinds of strange effects beyond common sense and reason,"
Malekis was in a tight grip, looking at Li Ang who held up the scroll and said arduously: "However, the behavior of using magical artifacts will cause huge load on the user,
This load is not only a physical weakness, but also a more essential thing in spirit, will, reason, soul and even individual life.
If I use the reality gem, I can barely achieve this effect of rubbing the world into a painting. But that will only cause me to be drawn into a mummy by the reality gem, or be burned directly into ashes.
Even if Li Ang is stronger than me, it is limited to strength - even if he is, it is impossible for him to pack Asgard without paying any price!"
Malekis roared in a low voice, as if trying to convince himself to barely stabilize his worldview, which was on the verge of collapse, and not to escape.
Holding the Universe Rubik's Cube and being able to ignore the concept of "distance", Li Ang can communicate with the other party in an instant, smiled immediately, and said calmly: "You are right. If an individual life simply relies on his thoughts to drive the Universe Rubik's Cube to achieve this effect, it will only make the individual life age and die early.
However, you only need to find the right rules, use the Universe Cube at the right time and at the right place, and make a little interference, and make a huge difference, allowing the entire space to fold itself, perfectly avoiding the load on the user of the Universe Cube."
Malekis subconsciously grew his mouth like he was listening to a book of heaven, and said, "...Is this possible?"
"......Ah, I always thought that although most of the higher civilization races in the Milky Way have extremely huge cultural differences, their understanding of the truth of the universe should be on the same ladder.
But the information brought by the Zitarry people told me the truth about the Milky Way - the difference in the level of higher civilizations' cognition of the universe is extremely huge.
An advanced civilization that can pick stars and embrace the moon and cross the void may never point out the basic subject of "mathematics".
A species that lives deep in the rock formation and survives on microorganisms in the soil may not be unable to understand the secrets of cosmic constants.
Perhaps you dark elves can create giant star destroyers, which completely crushes human civilization in terms of technical level, but may not necessarily understand the physical laws of the universe better than humans.
Since that's the case, I have to explain it to you in a way that you can understand."
Li Ang shook his head and looked at Malekis with a hint of sympathy.
Inexplicably, Malekis felt a chill flowing through his body, and he keenly noticed a fact-Li Ang looked at him as if he was staring at an underdeveloped intellectually disabled person.
“Humans are really arrogant, arrogant, and rude…”
Malekis' heart was filled with thoughts, but it was not revealed. If Li Ang could answer his doubts, it would not be unacceptable to accept contempt for the time being.
"In 1857 AD, in the seventh year of Xianfeng of Emperor Wenzong of the Qing Dynasty, a national uprising broke out in India, a locust plague in Jiangxi, China, Shi Dakai left Tianjing, and French inventor Scott invented the sonic wave vibrator - this was the earliest recorder."
Li Ang said calmly: "In that year, German mathematician Bonnhard Riemann made his first appearance and gave a speech entitled "On the Assumptions as the Foundation of Geometry", which created Riemann geometry and provided a mathematical foundation for general relativity decades later."
Malekis was a little confused. He was not interested in many things on earth, nor was he in the mood to study the connections behind these events.
"Rymann started systematic research on topology, reformed algebraic geometry, and promoted the progress of differential geometry. His geometric concept has brought new vitality after encountering general theory of relativity,"
As Li Ang said, he pulled out two lines in the air, one is a straight line and the other is an arc, and the two lines correspond to each other.
“The opposite of Riemann geometry is Euclidian geometry.
European geometry must be expressed in horizontal, vertical Cartesian systems. Simply put, it is the xy coordinate system that students came into contact with in junior high school. The base vector is an absolute straight line comparable to a straight man in steel, with a slope of 0. "
Li Ang pointed to the straight line.
"The Riemann geometry is different. Its base mark vector is curved, an arc with a slope greater than 0."
Li Ang pointed to the arc.
The two lines quickly changed under the command of Li Ang. Two other straight lines appeared at the position of the straight line, and together they established a three-axis coordinate system composed of three straight lines.
In contrast, two other arcs appeared around the arc, forming a twisted and weird curved coordinate system.
"Based on the European geometry with the slope of the base symbol vector of 0, the European space established has the essence of straight space,
According to the Riemann geometry with the slope of the base table vector greater than 0, the spatial essence of the Riemann space established is curved.
Now, His Majesty Malekis, please tell me, is the universe we are in closer to European space or to Riemann space?"
"..." Although the dark elves group where Malekis is located is not interested in exploring such mathematical laws, he still knows these information that is the basic common sense of higher civilizations.
"There is uneven measurement in the universe. If you combine what you said, it should be closer to the Riemann space."
"That's right."
Li Ang snapped his fingers and said with a smile: "Whether it is Riemann Space or Euclid Space, it is just a virtual mathematical concept used to describe the world we live in.
Gravity is a geometric phenomenon that reacts to distortion of space.
A huge gravitational field, like an invisible and plasmid iron ball, will pull the surrounding "space" inward and settle downward, forming curvature.
It is difficult to describe correctly the space distortion effect caused by this gravitational site, if placed in Euclidean space,
However, if the space distortion effect caused by gravity is placed in the already distorted Riemann space, it can be correctly analyzed.
This is exactly why Riemann geometry is a precondition for relativity.”
Speaking of this, Malekis's thinking was barely able to keep up with the other party, but he was still a little confused. He didn't know what all this was related to Li Anton Insgard's technique.
As if seeing the other party’s confusion, Li Ang smiled and said, “Then the question is, how should examiners in the distorted space created by gravitational sites detect the distortion of space?”
Malekis pondered for a moment, frowned and said, "Observers in the twisted space cannot directly experience the twist of space."
"Yes, it's like the ignorant humans in ancient times were unable to directly understand the truth that "the earth is round". The observer must pass through another straight space to perceive the curvature of the plane.
For example, the ship sails out of the harbor and becomes farther and farther away, while the sails of the ship always disappear in the end, so that it is inferred that the earth is round.
For example, when light passes through huge celestial bodies, it will be distorted by the gravitational field."
Li Ang spread his palm and let the universe cube float in the air. He pointed to the straight blue crystal and said calmly: "The real function of the universe cube is to distort the space and to tamper with the curvature of the space where the user is located.
Move and transpose, teleport and transmigrate, and switch subspace, these are all the effects of tampering with the curvature of space.
But what if I didn't tamper with the curvature of the space where I am? What if I modified the curvature of other spaces?"
Malekis' heart was shocked. He almost guessed what Li Ang did in an instant, pointed at the other party and said with difficulty: "You, you are twisting and transforming Asgard's base mark vector to make it larger than the conventional universe.
Chapter completed!