Vol 6 Chapter 45: distortion

He woke up as if from a dream and found that the mythological wizard who recommended him, Bru, was holding him in a hand, whispering:
"Concentrate and avoid the streamer. You are lucky this time and you are blessed.
Attar, you are Eva’s son, I will take care of you, but here I can’t look at you all the time.
Fortunately, you have encountered a stream of kind-hearted consciousness. It is impossible to guarantee a kind-hearted consciousness every time. If you are malicious, you may not come back. "
Atal nodded, and said apologetically: "I will pay attention and will not hold back."
The tear-like light on the back of his hand flashed, his heart was extremely peaceful and peaceful, and his attention was highly concentrated.
"It seems to be calm, but it's a good blessing."
As long as the stream of consciousness and the fog of memories are avoided, there is not much danger in the sea of ​​consciousness. There are souls at level three and above that are stable, and they are not afraid of being washed by the sea of ​​consciousness.
Above the center of the entire sea of ​​consciousness, a "door" stands, more than 300 meters high and more than 100 meters wide. The door frame is bronze, with a few years of mottled, and the entire door is radiant and fascinating.
The wizards stood on the stone platform in front of the light gate and waited.
On the other side, in the central tower, Ace has already unrolled another roll of magic paper and began to seriously calculate the covariant equation.
"Under the two axioms of general relativity, we need new geometry, which is different from traditional plane geometry. I wrote a dusty ‘useless’ geometry a hundred years ago, and it is now applicable.
This is spherical geometry.
The geometry we understand in a general sense is the geometry defined in the mortal mathematics master Bi Da's "The Original Geometry", which I call plane geometry.
Pythagorean geometry has five postulates:
One is that a straight line can be drawn from one point to any other point; the other is that a finite line segment can continue to be extended; the third is that a circle can be drawn with any point as the center and an arbitrary distance as the radius; and the fourth is that all instructions are equal to each other.
Fifth, a straight line in a unified plane intersects with two other straight lines. If the sum of two inner angles on one side is less than the sum of two right angles, the two straight lines intersect on this side after being extended infinitely.
The first four are easy to understand, but the fifth is actually intriguing.
For example, the intersection of these two internal angles and the infinite close to one hundred and eighty degrees, the farther the intersection of the other two straight lines.
According to the limit theory, we can completely assume that two lines never intersect...
Therefore, based on the above deduction, the fifth postulate cannot be proved.
Although we can't prove whether the fifth postulate is true, we can deduce a simple axiom from the fifth postulate that the sum of the inner angles of a triangle is equal to one hundred and eighty degrees.
This is the plane geometry that we study daily, I call it Pida space, or flat space.
However, there is still non-Pythagorean space in this world, where the triangular sum is less than one hundred and eighty degrees and the triangular sum is greater than one hundred and eighty degrees.
Here we focus on the triangular sum of less than 180 degrees, which is called curved space or elliptical space.
The space-time of our general relativity research is curved, and the elliptical space or curved space can just meet the research needs.
Here we need to use calculus to demonstrate from the mathematical equations..."
Extremely complicated mathematical inference, with sixteen independent variables of the second-order partial differential equations, of which several important variables are Ais tensor, curvature tensor, curvature scalar, energy momentum tensor.
With the completion of this equation, it is as if a single spark has detonated all explosives, the great source of the entire world is boiled, and the great source of artificial semi-planes in the floating city of academic capital has reached its peak.
The gods felt palpitations for a while, but when they saw that the source of the palpitations was the Saria area, they stopped moving.
In a hundred years, Ace, the lord of the magic net dreamless world, had an almost invincible posture and suppressed seven ordinary main gods. The terrifying power similar to the titan main made the gods dare not complain about the leader of this alliance.
The tower wizards are also very powerful. Although there are only three immortal legends, the mythical wizards have repeatedly slashed the true gods and captured the true gods. Several elves and outer gods are lying on the test bench of the wizards, even the Kaya gods. I also have grief.
The wizards under the raging fire and oil cooking situation are flourishing. Before the main gods of the Titans descend on the main material plane, the gods cannot stop them.
In such a situation, some gods fell firmly to Ace, and some gods were looking forward to the trial of the main gods of the Titans, but in any case, as long as it was a tower wizard, the godless wanted to be contaminated.
In the man-made half-plane, the vast array of mathematical equations and symbols floated and flickered, and turned into strange runes, but disappeared.
Such a spectacle aroused the excitement and expectation of the wizards in the entire floating city. This situation almost convinced them that this was the birth of a new theory.
"It's hard to understand, these flashing runes, just looking at it from a distance, you feel that your head is about to explode."
"Could you not mention this word, this is a taboo!"
The wizards looked up at the sky, feeling the mystery that could not be fully understood, and Ace was still struggling to write in the central tower.
The power of the great source around him surging strongly, gurgling into his body and soul, nourishing his mental world, like a cardiotonic, and Ace's power is getting stronger and stronger.
"How does space and time bend?
We can use a two-dimensional sphere to simply understand it. Suppose a shot ball is placed on a trampoline, and the trampoline will bend.
Similarly, if the sun is placed in the originally flat space-time, the sun’s massive mass will bend the entire space-time, and the planet will be in this curved space-time and will continue to orbit the sun at its initial speed.
If we pick up a wooden ball from the water, it is bound to produce waves, and the water will calm down after a while.
Similarly, if someone removes massive celestial bodies such as the sun and the center of the earth, the same "water waves" will be generated in time and space. The gravitational field is the curvature of time and space. From the perspective of general relativity, what we see is not gravity, but the curvature of time and space. .
Gravity is a manifestation of the bending of time and space, and gravitational waves will also exist like water waves.
The flat space background of special relativity plus the physical picture of universal gravitation becomes a physical picture of free motion without force (assuming no electromagnetic interaction) under the background of curved space in general relativity, its dynamic equation and its own mass It is irrelevant and becomes the geodesic equation.
At this moment, we wizards finally see the reality of the world and the reality of four-dimensional space-time. Space-time is curved, and this curvature is related to the mass of matter. "
Ace stood up, the runes flickered, and seemed to salute him, congratulating him for revealing the macro mystery of the world. A large amount of source power madly poured into Ace's body. He opened his hands and embraced Dayuan’s Gift.
Ace slowly digested the source power, and the sea of ​​regular runes in the mental world seemed to have experienced a torrential storm. Numerous strange runes danced here. They seemed to want to condense into a certain magic model, but they were unsustainable.
Perceiving carefully, Ace gradually realized.
"You have to go to the four-dimensional space-time. Only there can you directly see the nature of space-time bending without using mathematical tools, and condense the magic model based on this essence.
All changes in gravity are changes in the curvature of space-time, and the curvature of space-time is the origin of everything. "
Ace's figure dissipated like a bubble, and Da Yuan's various visions also disappeared, like a thunderstorm, and the clouds disappeared in a flash.
The wizards and the gods all seemed to have a dream. Where they didn't know, Ace had appeared in the four-dimensional time and space, the great mystery of the gods.
Even for the gods, the four-dimensional secret realm that cannot be fully understood by the sixth-level existence, they are promoted to the sixth-level and become the fourth and three-dimensional existence at the same time, but the sixth-level existence only uses this power, and does not mean that they understand the underlying principle.
Ace swims in the four-dimensional space-time full of space-time curvature, like a fish rippling in the water, and like a fish climbing ashore. It hasn't evolved quadrupeds yet, so it is very unsuitable, but he can never return to the water.
"There are no obstacles to my promotion. It only requires the accumulation of time and resources. The eleventh-ring spell model or the domain of the supreme law must have one of the two, otherwise the four-dimensional particles cannot be anchored, and the four-dimensional and three-dimensional can not be realized. Sync status."
The process of picking up the runes is not smooth. Rather than picking up the runes, it is better to record the data of the surrounding space-time curvature and derive the laws, and the traces of the laws are the four-dimensional six-level runes.
This is a very energy-consuming action. Even Ace only recorded a small area, picked up two precious six-level runes, and then exited the four-dimensional space-time.
In the magic temple, a group of wizards have just returned from the four-dimensional time and space, and their level of vision is not enough to collect curvature information and condense the sixth-level runes, but they still gain a lot in the four-dimensional time and space.
The huge energy released by high-dimensional cleavage and dimensionality reduction, and the great mystery in the four-dimensional, fascinated the wizards.
Just when the wizards left the sea of ​​consciousness and returned to the hall of the temple, they suddenly discovered that Ace's true body was waiting here, with a black top hat and a decent magic robe, his eyes shocking, and his voice warm.
"The mythical wizard will go back first, and the others will stay. I have something to say."
Legend has it that after hearing this, the wizards and epic wizards did not dare to stay for a long time and stepped on the magic circle to return to the floating city, the academic capital.
Ace looked around at the crowd, the hall changed, and a seat appeared.
"Everyone, sit down!"
After the members of the highest panel were seated, Ace said in a gentle voice: "You all have the status of being promoted to the immortal legend. I believe you also understand the theory of relativity, why not be promoted?"
There was silence for a long time, and Thales got up and bowed slightly: "Master Ace, promotion means to further solidify the world of cognition, but we all feel that the theory of relativity seems to be imperfect, and our understanding of the realm of gods is also very partial, so I want to be promoted after I better understand the reality of this world."
Ace nodded and said: "You can't say that this idea is wrong, but it is difficult to observe the world more effectively without being promoted. I will show you this galactic universe, one million stars."
As we spoke, the gentle and solid magic power enveloped everyone, and Ace's voice came, "Don't resist, relax."
The people subconsciously relaxed out of trust in the fire-passer. For a moment, they appeared not far from a star, and the heat wave rushed in. Fortunately, the location here was not very close, and the magic power of the wizards was enough to isolate the temperature.
"What did you see?"
Ace asked.
"A star?"
Someone said subconsciously.
"In the special theory of relativity, we believe that the essence of the world is straight space-time, but this is not the essence of the world. Today I want you to feel the reality of the world and general relativity."
After hearing Ace's words, everyone involuntarily took a breath. Has the basic theory really broken through?
There were light curtains shining in front of them, and related papers on general relativity were directly displayed in front of them. This is the truth of the world, and it is so easy to obtain.
Bayern's hands trembling slowly slid across the light curtain. He felt a little dry mouth, some saliva was secreted in his mouth, and he swallowed some dryly, making a gurgling sound.
"The principle of equivalence?
It is divided into weak equivalence principle and strong equivalence principle. The weak equivalence principle believes that the dynamic effects of inertial force field and gravitational field are locally indistinguishable.
The principle of strong equivalence believes that the "dynamic effect" is elevated to "any physical effect".
It should be emphasized that the principle of equivalence is only valid for local inertial systems, and the principle of equivalence is not necessarily valid for non-local inertial systems.
This means that acceleration equals gravity? "
Bayern was stupefied and opened the door to a new world. His mental world began to fluctuate violently. The mental world based on the special theory of relativity and the derived subplanes were perfectly integrated by the general theory of relativity. His cognition began to rapidly change his mental image, and then Diffraction changes the subplane.
On the other side, Betty also said with a trembling voice: "The principle of general relativity.
The form of the laws of physics is constant in all reference frames.
This theorem is an extension of the special principle of relativity.
In the special theory of relativity, if we try to define an inertial system, there will be an endless loop: Generally, an object that is not subject to external force is an inertial system in a coordinate system that remains stationary or moves in a straight line at a constant speed.
But how to determine that the object is not subject to external force?
The answer can only be that when the object remains stationary or in a constant linear motion state, the object is not subject to external force.
Obviously, logic has an infinite loop that is difficult to eliminate.
This shows that people cannot give a strict definition of the inertial system, which is a serious shortcoming of special relativity.
In order to solve this problem, the author directly removed the concept of inertial system from the theory of relativity, and replaced the inertial system in the original special principle of relativity with any reference system.
if it is like this……"
The wizards have some ideas, and they seem to be even more confused. The two axioms of general relativity are not difficult to understand. The real difficulty lies in the geometrical understanding and structural equations.
The relativity universal gravitation equation, the general relativity equation constructed by Ace is not so friendly, as many as sixteen independent variables, making this second-order partial differential equation look like a mathematical maze.
"Surface geometry? Or spherical geometry. From the bending of light, we can indeed guess that the space-time of our world may be curved. This can explain many strange phenomena in four-dimensional space-time. Unfortunately, after each dimension reduction, we forget too much. Many, probably only six levels of existence can truly understand the four-dimensional structure at all times?
But we have mathematics, algebra and geometry are our most effective tools for observing the world, or eyes. "
Through the link on the light curtain, Blenia began to study the booklet "Elliptical Geometry" once written by Ace.
She also understands that the fifth postulate cannot be proved. Looking at the deduced surface geometry, which is precisely the inner angle of the triangle and the spherical geometry less than 180 degrees, her eyes sparkle with brilliance.
As time passed slowly, Ace led the people through the galactic universe, flying at sub-light speed was not the most effective method, and the space magic slowly started.
This time, Ace was very slow to inspire space magic. He no longer regarded space as a kind of god's realm, but completely used general relativity to understand space.
This transition and flashing attracted the attention of the wizards, and they also began to notice this change, re-examining their space movement series of spells, as if they were struck by lightning in their minds.
"Master Ace, it turns out that the mystery of space is hidden in this general theory of relativity. No, it should be said that the space and even time that we think the mystery is obscure are actually the appearance of general relativity.
We think they are domains, but in fact they are just a substitute when we can’t find the laws. When we find the laws, this kind of realm should collapse, let alone the gods without time and space. Even if there are, we discover the general theory of relativity. At the moment they will fall! "
Bayern could not help shouting loudly, his expression was extremely uplifting, slowly perceiving Ace to lead them through the space leap, and couldn't help touching his beard.
Thales also interrupted and said: "It is curvature. The mystery of space-time is curvature. The reason why we can achieve spatial transition is because of curvature. We can construct stacked spaces because of curvature. Space-time is inherently curved, and we are bending here. Constructed extremely complex time and space.
Take Master Ace’s subplane as an example, the appearance inside the world is a star~EbookFREE.me~ is actually a position where space-time is extremely distorted, but inside the dream star, there is a vast space-time. In a piece of time and space, celestial bodies are points of distortion, and the extreme of distortion, even more powerful than ordinary celestial bodies, distortion of time and space phenomenon appears.
Even the light cannot escape. "
Ace snapped his fingers, time and space changed, and they had already arrived near the tiny black hole. The black hole had grown a lot and had become stronger. The extremely powerful gravity twisted everything, and the incredible density of matter shocked the wizards.
"This is? This is the kind of extremely distorted special celestial body!"
Thales could not help but yelled out, his expression extremely excited.
"We need to stay away from it, this thing can distort the existence of time and space, even if we are captured, it is difficult to escape."
Another mythical wizard warned.
Ace also nodded. He just wanted to take everyone away. Blenia pulled out a piece of metal with extremely high density from her subspace and moved in the same direction as the black hole. The metal was instantly captured by gravity and quickly twisted and stretched. Disappeared in the black hole.