The Primordial Wizard

He woke up as if in a dream, and found that the mythical wizard Bruce who recommended him was holding him, and said in a low voice:

"Concentrate and avoid the streamer, you are lucky this time and have been blessed.

Atal, you are Eva's son, and I will take care of you, but it is impossible for me to watch you all the time here.

You are very lucky to meet a kind streamer of consciousness. It is impossible to guarantee that it is a kind consciousness every time. If there is malice, you may not be able to come back. "

Atar nodded, and said apologetically, "I will pay attention to it, so I won't hold back."

The tear-shaped light on the back of his hand flickered, his heart was extremely peaceful and peaceful, and his attention was also highly concentrated.

"It seems to be able to calm the mood, which is a good blessing."

As long as the stream of consciousness and the fog of memory are avoided, the sea of ​​consciousness is not very dangerous, and the existence of souls above the third level is stable, and it is not afraid of the erosion of the sea of ​​consciousness.

Above the center of the entire sea of ​​consciousness, a "door" stands, more than 300 meters high and 100 meters wide. The door frame is bronze, with some mottled with time, the whole door is full of brilliance, which is very fascinating.

The wizards waited on the stone platform in front of the Light Gate.

On the other side, in the central tower, Ace has already unfolded another roll of magic paper, and began to seriously calculate the covariant equation.

"Under the two axioms of general relativity, we need a new geometry, which is different from the traditional plane geometry. I wrote a dusty 'useless' geometry a hundred years ago, and it is just right now.

This is spherical geometry.

The geometry we generally understand is the geometry defined in the "Elements of Geometry" by the mortal mathematics master Pida. I call it plane geometry.

Pythian geometry has five postulates:

One is that a straight line can be drawn from one point to another point; the other is that a finite line segment can be extended; the third is that a circle can be drawn with any point as the center and any distance as the radius; and the fourth is that all instructions are equal to each other.

Fifth, a straight line in the same plane intersects two other straight lines. If the sum of the two interior angles on a certain side is less than the sum of the two right angles, the two straight lines intersect on this side after being infinitely extended.

The first four items are easy to understand, but the fifth item is actually intriguing.

For example, the sum of the two intersecting interior angles is infinitely close to 180 degrees,

The intersection point of the other two straight lines is farther away.

According to limit theory, we can completely assume that two lines never meet...

Therefore, according to the above deduction, the fifth postulate cannot be proved.

Although we cannot prove whether the fifth postulate is true, we can derive a simple axiom from the fifth postulate that the sum of the interior angles of a triangle is equal to one hundred and eighty degrees.

This is the plane geometry we study every day, and I call it Pythian space, or flat space.

However, there is still non-Python space in this world, the sum of triangles is less than 180 degrees and the sum of triangles is greater than 180 degrees.

Here we focus on the case where the sum of triangles is less than 180 degrees, which is called surface space or ellipse space.

The space-time studied by our general theory of relativity is curved, and the elliptical space or curved surface space can just meet the research needs.

Here we need to use calculus, and first demonstrate from the mathematical equation..."

Extremely complicated mathematical inferences, a second-order partial differential equation with sixteen independent variables, among which several important variables are Ace tensor, curvature tensor, curvature scalar, and energy-momentum tensor.

With the completion of this equation, as if a spark detonated all the explosives, the source of the whole world boiled, and the source of power of the artificial demiplane in the academic capital of floating city reached its peak.

All the gods felt a palpitation, but when they saw that the source of the palpitation was the Salia region, they stopped moving.

For a hundred years, Ace, the Lord of the Magic Net and the Dreamless Realm, suppressed seven ordinary gods with his almost invincible posture. The terrifying power similar to that of the Titan God made the gods dare not have the slightest complaint against the leader of this alliance.

The tower wizards are also very powerful. Although there are only three immortal legends, the myth wizards have repeatedly killed and captured the true gods. Several elves and outer gods are lying on the wizards' experimental benches. Even the Kaya gods Also feel sorry for.

The wizards under the fire and oil cooking situation are booming, and the gods are powerless to stop before the titan gods descend on the main material plane.

In such a situation, some gods fell firmly to Ace, and some gods were looking forward to the trial of the Titan Lord Gods, but in any case, as long as it was related to the tower wizard, no god wanted to be contaminated.

In the man-made demiplane, a vast sea of ​​mathematical equations and symbols floated and flickered, and then turned into strange runes, but disappeared.

Such a spectacle aroused the excitement and anticipation of the wizards in the entire floating city. Such a situation almost convinced them that this was the birth of a new theory.

"It's hard to understand, these flickering runes, just looking at them from a distance makes my head explode."

"Can you not mention this word, it's taboo!"

The wizards looked up at the sky, feeling the mystery that they couldn't fully understand, and Ace was still writing hard in the central tower.

The power of the great source around him surged thickly, gurgling into his body and soul, nourishing his mental world, like a booster, and Ace's power became stronger and stronger.

"How does space-time bend?

We can use a two-dimensional sphere to understand it simply. Suppose a shot put on a trampoline, the trampoline will bend.

Similarly, if the sun is placed in the originally flat space-time, the large mass of the sun will bend the entire space-time, and the planets are in this curved space-time, and they are constantly revolving around the sun at their own initial speed.

If we pick up a wooden ball from the water, there will be waves, and it will take a while for the water to calm down.

Similarly, if someone removes the sun, the center of the earth and other massive celestial bodies, the same "water wave" will be produced in space-time. The gravitational field is the curvature of space-time. From the perspective of general relativity, what we see is not gravity, but the curvature of space-time .

Gravity is the manifestation of space-time curvature, and gravitational waves also exist like water waves.

The flat space background of special relativity plus the physical picture of universal gravitation becomes the physical picture of free motion without force (assuming there is no interaction such as electromagnetism) under the surface space background in general relativity. Its dynamic equation and its own mass becomes a geodesic equation.

At this moment, we wizards finally see the reality of the world and the reality of the four-dimensional space-time. The space-time is curved, and this curvature is related to the quality of matter. "

Ace stood up, the runes flashed, as if saluting him, congratulating him for revealing the macro mysteries of the world, a large amount of source power crazily poured into Ace's body, he opened his hands, embracing Dayuan's body gift.

Ace slowly digested the source power, and the sea of ​​ruled runes in the mental image world seemed to have experienced a storm. Countless strange runes danced here. They seemed to want to condense into some kind of spell model, but it was difficult to continue.

After careful perception, Ace gradually realized.

"It is necessary to go to the four-dimensional space-time, only there, without the aid of mathematical tools, can one directly see the essence of space-time bending, and condense the spell model based on this essence.

All the changes of gravity are the changes of the curvature of space-time, and the curvature of space-time is the origin of everything. "

Ace's figure dissipated like a bubble, and Dayuan's various visions also dissipated, like a thunderstorm, which disappeared in an instant.

The wizards and the gods seemed to have a dream. Unbeknownst to them, Ace had appeared in the four-dimensional time and space, the great mystery of God.

Even the gods, the sixth-level existences cannot fully understand the four-dimensional secret realm. They have been promoted to the sixth level and become simultaneous four-dimensional and three-dimensional existences, but the sixth-level existences can only use this power, which does not mean that they understand it. principle.

Ace travels in the four-dimensional time and space full of space-time curvature, like a fish rippling in the water, and like a fish climbing ashore. He has not yet evolved quadrupeds, so he is very uncomfortable, but he can never return to the water.

"There are no obstacles to my promotion. I only need the accumulation of time and resources. One of the eleventh ring spell model or the supreme law domain must be available, otherwise the four-dimensional particles cannot be anchored, and the four-dimensional and three-dimensional cannot be realized. sync status."

The process of picking up the runes was not smooth. Rather than picking up the runes, it was better to record the data of the curvature of the surrounding space-time and deduce the laws in it, and the traces of the rules are six-level runes that unfold in four dimensions.

This is a very energy-consuming action. Even Ace only recorded a small area, picked up two precious sixth-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. Their level of vision is not enough to collect curvature information and gather six-level runes, but they still gain a lot in the four-dimensional time and space.

The huge energy released by high-dimensional cracking and dimension reduction, and the great mysteries in the four-dimensional world have fascinated all wizards.

Just when the wizards left the sea of ​​consciousness and returned to the hall of the temple, they suddenly found Ace's real body waiting here, with a black top hat and a decent magic robe, with shocking eyes and a gentle voice.

"Those who are below the mythical wizard go back first, and the others stay. I have something to say."

After the legendary wizards and epic wizards heard about it, they didn't dare to stay for long, and stepped on the magic circle together to return to the academic capital of Floating Void City.

Ace looked around at the crowd, the hall changed, and a statue of God appeared.

"Everyone, sit down!"

After the members of the Supreme Jury sat down, Ace said in a gentle voice: "You all have the status to be promoted to immortal legends. I believe you also understand the theory of relativity. Why don't you promote?"

After a long silence, Thales got up and bowed slightly: "Master Ace, promotion means further solidifying the cognitive world, but we all feel that the theory of relativity seems to have imperfections, and our understanding of the realm of gods is also very biased, so I want to be promoted after I have a better understanding of 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 galaxy universe, with a million stars."

While speaking, gentle and solid magic power enveloped everyone, and Ace's voice came, "Don't resist, relax."

Out of trust in the fire sender, everyone relaxed subconsciously. In an instant, they appeared not far from a star, and the heat wave rushed in. Fortunately, the location here is not very close, and the magic power of the wizards is enough to isolate the temperature.

"What did you see?"

Ace asked.

"A star?"

Someone said subconsciously.

"In special relativity, we believe that the essence of the world is flat 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."

Everyone gasped involuntarily when they heard Ace's words, did the basic theory really break through?

Light curtains flickered in front of them, and related papers on general relativity were displayed in front of them. This is the truth of the world, and it is so easy to obtain.

Bayern slowly slid on the light curtain with trembling hands. His mouth felt a little dry, and some saliva was secreted in his mouth, and he swallowed it dryly, making a gurgling sound.

"The principle of equivalence?

It is divided into weak equivalence principle and strong equivalence principle. The weak equivalence principle holds that the dynamic effects of inertial force field and gravitational field are locally indistinguishable.

According to the strong equivalence principle, the "kinetic effect" is promoted to "any physical effect".

It should be emphasized that the equivalence principle is only valid for the local inertial system, but not necessarily for the non-local inertial system.

That is to say, acceleration is equal to gravity? "

Bayern was opened the door to a new world in a trance, and his mental world began to fluctuate violently. The mental world based on special relativity and the derived subplanes were perfectly integrated by general relativity. His cognition began to change his mental image rapidly, and then Diffraction alters the subplane.

On the other side, Betty also read tremblingly: "The principle of general relativity.

The form of the laws of physics is invariant in all frames of reference.

This theorem is an extension of the special principle of relativity.

In the special theory of relativity, if we try to define the inertial system, there will be an infinite loop: generally, the coordinate system of an object that is not subject to external force and remains static or uniformly moving in a straight line is the inertial system.

But how to determine the object is not subject to external force?

The answer can only be that when the object remains at rest or moves in a straight line at a constant speed, the object is not subject to external force.

Obviously, there is an infinite loop in logic that is difficult to eliminate.

This shows that people cannot give a strict definition for the inertial system, which cannot but be said to be a serious shortcoming of the special theory of relativity.

In order to solve this problem, the author directly removes the concept of inertial frame from the theory of relativity, and replaces the original inertial frame in the special principle of relativity with any reference frame.

if it is like this……"

The wizards have some ideas, but they seem to be more confused. The two axioms of general relativity are actually not difficult to understand. The real difficulty lies in the geometric understanding and the construction of equations.

The relativity equation of universal gravitation, the general relativity equation constructed by Ace is not so friendly, with 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 every dimensionality reduction, we forget too much. Many, probably only the sixth-level existence can truly understand the four-dimensional structure at all times?

But we have mathematics, algebra and geometry are the most effective tools, or eyes, for us to observe the reality of the world. "

Through the link on the light curtain, Brinia began to study the booklet "Ellipse Geometry" written by Ace.

She also understands the unprovability of the fifth postulate. Looking at the deduced surface geometry, to be precise, it is the interior angle of a triangle and the spherical geometry less than 180 degrees, her eyes are shining with splendor.

Time passed slowly, and Ace led everyone to travel through the galaxy universe. Sublight speed flight was not the most effective way, and space magic was slowly activated.

This time Ace was very slow to activate space magic. He no longer regards space as a realm of gods, but uses general relativity to understand space.

This leap and flash caught the attention of all the wizards, and they also began to notice this change. When they looked at their space movement series of spells again, it was as if they were struck by lightning across 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 are mysterious and obscure are actually appearances of general relativity.

We think they are fields, but in fact they are just a substitute when we cannot find their laws. When we find the laws, this field should collapse, let alone the gods without time and space. Even if there are, after we discover the general theory of relativity At the moment, they will also fall! "

Bayern couldn't help shouting, his expression was extremely excited, and he slowly felt Ace leading them to the space leap, and couldn't help stroking his beard.

Thales also interjected: "It's curvature. The mystery of space-time is curvature. The reason why we can achieve space transition is because of curvature, and it is also because of curvature that we can construct layered spaces. Space-time is inherently curved. A very complex space-time is constructed in it.

Take Lord Ace’s sub-plane as an example, the inside of the world appears to be a star, but it is actually a location where time and space are extremely distorted, but inside the dream star, there is a vast space and time. In this time and space, celestial bodies It is a point of distortion, and at the extreme of distortion, there will even be a more powerful phenomenon of distorting space-time than ordinary celestial bodies.

Not even light can escape. "

Ace snapped his fingers, time and space changed, and they had already reached the vicinity of the miniature black hole. The black hole had grown a lot and became stronger. The extremely powerful gravity distorted everything, and the incredible density of matter shocked the wizards.

"This is? This is that kind of extremely distorted special celestial body!"

Thales yelled out involuntarily, his expression extremely excited.

"We need to stay away from it. This thing can distort time and space. Even if we are captured, it will be difficult to escape."

Another myth wizard warned.

Ace also nodded. Just as he wanted to take everyone away, Brinia pulled out a piece of extremely dense metal from her own subspace, heading in the same direction as the black hole. The metal was instantly captured by gravity, twisted and stretched quickly, and rolled disappear into a black hole.