The Primordial Wizard

The wizards of the Supreme Jury were all listening to Ace's words cognitively, and Varen even let a magic pen take notes, preparing to go back and think carefully.

The special theory of relativity is new to all wizards, and it represents power. The unknown four-dimensional space and the expansion of time make the wizards' heads ache.

"This theory is not very friendly."

Laval pushed his glasses and murmured.

Ace continued on stage: "We know that three-dimensional space can be represented by a vertical or orthogonal coordinate system, and that time, as the fourth dimension, must be perpendicular to other dimensions, but how do we find a three-dimensional wall in the corner of a wall in real life?" What about surfaces that are all vertical?"

The wizards were lost in thought, and Ace's eyes were filled with anticipation. After a long silence, Brinia suddenly got up.

"Master Ace, maybe we can solve this matter from a mathematical point of view, but I haven't figured out how to solve it for a while."

Ace nodded, and said with a little approval: "It is true, using mathematical geometry to express space does not necessarily require three dimensions, if the umbrella cannot be hung on the wall, we can consider putting it away first.

We can assume this to imagine and understand four-dimensional space-time.

Assuming that there is a flying insect moving in a circle around a stone, we can regard the flying insect’s circular motion as moving on a plane, which saves one dimension, and thus obtain the flying insect’s time axis speed multiplied by time . "

With a wave of Ace's hand, the magic power formed a three-dimensional holographic image, and a flying insect was making a circular motion around a stone.

"As time goes by, the stone is still the same stone, and we can use a cylinder to represent it, which is called the world surface. But the flying insect is no longer the flying insect, and its world line is a sine wave function.

From this point, it can be seen that the world line of flying insects is no longer a lonely space concept, but has an inseparable relationship with time. Each point on the line not only represents the position coordinates, but also represents an event. In other words, It is a chain of events that continues over time. "

The wizards present were lost in thought, and Toth's mythical wizard stood up and said: "I understand, we are in a three-dimensional world, and before we ascend the dimension, we can't imagine and describe the four-dimensional state anyway.

In other words, the three-dimensional existence cannot directly imagine and describe the four-dimensional.

but,

Mathematics empowers us, we can collapse three dimensions into zero dimension, which is a point, then an event is a point, and the line segment connecting these two points is four dimensions.

Mathematics is everything in this world, all real! "

Lich Werther has become a youth, he also got up and said:

"The so-called people can't step into the same river twice is actually the passage of time, which cannot be stepped in in three dimensions, but in the four dimensions, it is the same river, because time is also a necessary component.

Even philosophical thinking is based on dimensions. "

The wizards were discussing enthusiastically, and they unconsciously began to discuss the slow clock effect and the scaling effect. When they asked Ace, Ace snapped his fingers, and a holographic image appeared.

"If we want to understand these two effects, we need to understand light first, and accurately explain the world line of understanding light.

We know that the speed of light is constant, so it is a straight line on the space-time diagram, the speed of light is C, and the vertical axis is the speed of light multiplied by time, then its world line is a straight line with a slope of 1 and an oblique angle of 45 degrees. "

Ace’s hologram shows a two-dimensional coordinate system with a horizontal axis and a vertical axis, and the world line of the speed of light is just the slanted line with a slope of one.

People began to widen their eyes. Although it is a very simple two-dimensional plan, it seems to contain the mysteries and truths of the world.

Ace snapped his fingers, and a diagonal line at the upper left of the light's world line was slowly drawn.

"An object moving in a straight line at an average speed, we regard this three-dimensional object as a point without length, width and height, then its world line is also a straight line.

According to the theory of relativity, any speed cannot exceed the speed of light, so the slope of any line must be greater than or equal to one, and it is meaningless if it is less than one.

An object moving at a variable speed is a parabola. "

Bayern looked at the two-dimensional coordinate system, his eyes sparkling, and his understanding of prophecy magic changed again, or deepened.

"The speed of light is the dividing line. If we divide time into past, present and future with the present moment as the starting point, then it will be represented graphically as a light cone."

Bayern spoke slowly, and a two-dimensional coordinate system picture emerged. He raised his hands high and said seriously: "The upper part of the light cone is the future, the lower part is the past, the intersection of the coordinate system is the present, and the rest are meaningless. "

Ace smiled and said: "That's right, you have understood the most basic principles, Bayern."

Bayern sat down slowly, a somewhat crazy idea flickered in his mind. In the coordinate system, exceeding the speed of light means meaningless, but if, if the impossible can be achieved, can a crazy spell be created? , Exile the opponent to an impossible time and space?

This idea was buried in Bayern's mind, like a new seed.

Ace continued: "Now listen carefully, let's use the theory of relativity to understand the scale effect and the clock slow effect."

There was a faint sound of thunder, and Thoth's projection trembled all over, as if he felt Dayuan's attention and expectation?

He looked at Ace who was talking eloquently, and his mood was extremely complicated for a while.

"Now suppose that there are two reference frames, frame a is stationary, and frame b is moving in a straight line at a uniform speed, and according to the Brenia transformation, the coordinates of the two in the same space-time diagram can be obtained.

Taking system a as the benchmark, the two coordinate axes of system b may not be perpendicular to each other. "

A two-dimensional coordinate map appeared in everyone's eyes, "In fact, we were 'deceived' by the space-time map, which happens often, but it doesn't conform to our thinking habits.

For example, in an ordinary three-dimensional coordinate system, when it is drawn on a plane, one of the coordinate axes is not perpendicular to the other two coordinate axes. Similarly, if the b system is used as the benchmark, then the coordinate axes of the a system are not perpendicular to each other, so the two The inertial coordinate systems are equal.

Now let's assume that there is a static ruler in system a. From the perspective of system b, the ruler is naturally moving. This is how it looks in the space-time diagram. "

Ace snapped his fingers again, and a shadow appeared in the coordinate system of the space-time map, which suggested "the world surface of the ruler".

The shock and joy of Dayuan seemed to be more intense, and all kinds of illusions appeared, as if there were elves playing music, and it seemed that there were demons roaring.

Strange fifth-level runes (rule-level runes) loomed one after another, as if scratching the itch, although it could relieve the itching, it couldn't really feel comfortable.

Ignoring all this, Ace said with piercing eyes: "In this figure, the intersection point of the coordinate system is 0, 0a is the length of the ruler whose time is t under the system a, and 0b is the length of the ruler whose time is t under the system b. .

According to the theory of relativity, the moving ruler will be shortened, that is, 0b is smaller than 0a, but in fact it is obvious that 0a is smaller than 0b, why is this? "

Everyone frowned and thought, and Brinia stood up and bowed again and said: "Scale shrinkage effect refers to the length of the same ruler measured in a certain inertial system, and the measured value is shorter when it is relatively moving than when it is relatively stationary.

0b is the length of the ruler used to measure motion under the b system, but 0a does not represent the length of the ruler at rest under the b system, so comparing the two does not conform to the theory of relativity. This is a "deception" by the space-time diagram from our habits . "

Ace couldn't help applauding and said: "Your Excellency Brinia, your mathematical talent is amazing, everyone, that's exactly the case. If we want to know the length of the ruler at rest under the b system, we need to make a calibration curve, that is, A hyperbolic calibration curve derived using the Braignia transform.

Use this curve to intersect the x-axis of the b system, and 0B is the length to be measured, obviously 0b is smaller than 0B.

Because the positions of series a and series b are equal, when the ruler moves with series b, the measured value in series a will also be smaller than 0a. "

There are more and more rule-level runes looming, covering the hall like a sea of ​​stars, and Ace is the center of this sea of ​​stars, and the runes surround him.

"It seems that something is brewing, a new spell model?"

In Ace's mental world, he seemed to have some perception, and he continued: "Let's look at the slow clock effect again, now suppose there are two clocks with exact minutes and seconds, and the two clocks are calibrated at time t, and one stays at A line, the other stays in the b line movement."

Following Ace's words, the space-time map changes again.

"From the perspective of series A, the clock of series B has slowed down. For the same reason, from the perspective of series b, the clock of series A has slowed down. Which clock is slow?"

Ace's voice was deafening, and everyone felt as if they were immersed in the infinite clock world. Some even said that the wizard's mental image world was once again a sign of collapse.

Without hesitation, Ace continued: "Actually, neither of the two clocks slowed down, everything is an 'illusion' brought about by motion. The two inertial systems that are moving relative to each other think that the other's time is expanding, and both think that the other's time is expanding. The ruler of the world is shortening, and this is the reality of the world, under the movement, everything is relative."

Dana couldn't help muttering: "What should we use as the standard?"

Everyone was dazed, and even the top group of wizards would fall into confusion. Under Ace's eyelids, several people imagined that the world's cognition was broken and solidified. Ace could almost predict that this would inevitably bring a large number of people. The brutal bloodshed of wizards of the first and second ranks.

But all this is necessary for growth, and there is no time to wait any longer.

Ace said loudly: "The so-called standard is actually meaningless. It's like a blind man touching an elephant. I don't care if you think the elephant is a pillar or a cattail fan. Anyway, I think the elephant is a pipe. As for the true face of the elephant, in the three-dimensional We can never see it, and that makes no sense.

Even if the dimension is elevated for a short time, you can only realize the whole picture at the moment of dimensionality ascension, and you will lose the corresponding cognition after dimensionality reduction. "

A large number of fifth-level runes poured into Ace's eyebrows, and more and more runes related to time and space gathered in his mind world. These runes are not different from the runes of the time domain, but they have very similar characteristic.

Everyone fell into a dream, even the true god Thoth was a little confused. After a long time, he woke up first and found that Ace had disappeared.

He got up and said to everyone: "We may really be blind people in the four-dimensional world, but mathematics will become our eyes to understand the world. Everyone, as a true god, I was lucky enough to reach the four-dimensional world. I didn't know it at that time. I just called it It is the mysteries of God.

But today, we can say with certainty that we can ascend the dimension and go to the four-dimensional time and space, and the future of wizards should also be in a higher dimension. Our lives are endless, as long as the fire of research is not extinguished, one day we will rely on mathematics to achieve dimension enhancement and discover more truths. "

His figure slowly disappeared, and all the wizards also dispersed.

With the support of Brinia, Thales stared blankly at the starry sky with a wry smile on his lips.

Brinia comforted: "Tales, don't be discouraged. Fragmentation and solidification of cognition does not mean that there is no future. We will definitely find a way to recover."

Thales looked at Brinia and said in a low voice: "It's okay, it's really hard to understand from the common sense, but as long as we live, there is hope. We just learned about the four-dimensional space-time, such a wonderful and unknown world, how can we just miss it! "

The boundless starry sky, the dream star that Ace's sub-plane collapsed into, and the invisible magic net are still constantly weaving.

Ace has returned to his own sub-plane, the True God projection has refined half of the leaves of the world tree, all the stars have been lit up, and everything is as usual in the small galaxy universe.

"First stop refining the leaves of the world tree, and we will try together to construct our new spells according to the gift of the great source."

Ace sank his mind into the world of mental images, and in the sea of ​​ruled runes, three spell models floated here, namely "Four-Dimensional Gate", "Constructing Four-Dimensional Time and Space" and "Time and Space Mystery".

The ten-ring spell "Time and Space Mysuo" just obtained is actually a display of the scale effect and the slow clock effect. This is a very magical time and space spell, which will construct a complex time and space system and time and space map, allowing the subject to completely Lost in the four-dimensional complex space-time.

"First of all, we need to construct the nine-ring spell 'Four-Dimensional Gate'. The essence of the ten-ring legendary spell is a four-dimensional picture, which we cannot fully construct at the three-dimensional level.

And the nine-ring spell itself is in the process of going from three-dimensional to four-dimensional, which is completely consistent with the 'four-dimensional gate'. "

He manifested the phantom of the spell model and connected it to the "door" in the magic temple deep in the heart of the galaxy. The tremor from the soul made Ace feel a nearly four-dimensional strange state instantly.

For just a moment, Ace seemed to "see" some kind of particle, a kind of superluminal particle speculated by the special theory of relativity.

In a flash, this state has been broken, and a brand new spell model has been constructed.

"Stable construction of the four-dimensional gate, this will be one of the wizard's biggest cards in the storm!"