Original Wizard

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The wizards of the Supreme Council were all cognizantly listening to Ace’s words, and Warren even let a magic pen take notes, ready to go back and think carefully.

The special theory of relativity is a new thing for all wizards, but it also represents power. The unknown 4-dimensional space and the expansion of time make the wizards’ brains a little painful.

“This theory is not very friendly.”

Laval pushed his glasses, muttered.

Ace continued on the stage: “We know that 3-dimensional space can be represented by a vertical or orthogonal coordinate system. As the fourth dimension, time must be perpendicular to other dimensions. But how do we find a three-dimensional wall in real life? What about the faces that are all vertical?”

The wizards were lost in thought, while Ace’s eyes were full of expectation. After a long silence, Blenia got up suddenly.

“Master Ace, maybe we can solve this matter from a mathematical point of view, but I haven’t thought of how to solve it for a while.”

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

We can assume this to imagine and understand 4-dimensional space-time.

Suppose there is a Flying Insect, which moves in a circle around a rock. We can regard the circular motion of the Flying Insect as moving on a plane, which saves one dimension and obtains the time axis movement speed of the Flying Insect multiplied by time . “

With a wave of Ace’s hand, the magic power formed a three-dimensional holographic scene, and a Flying Insect was moving in a circular motion around a rock.

“With the ebbing of time, the stone is still the same stone. We can represent it with a cylinder and call it 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 Insect is no longer a lonely space concept, but has an inseparable relationship with time. Each point on the line not only represents a position coordinate, but also represents an event. In other words, This is a chain of events that extends over time. “

The wizards present were lost in thought. Thoth’s mythical wizard projection stood up and said: “I understand that we are in a three-dimensional world. Before ascending, it is impossible to imagine and depict the four-dimensional state.

In other words, the existence of 3 dimensions cannot be directly imagined and depicted in 4 dimensions.

However, mathematics has given us power. We can collapse 3 dimensions into zero dimensions, which is a point, and then an event is a point. The line segment connecting these two points is 2 dimensions.

Mathematics is everything in this World, all true! “

Lich Witte has become a young man, he also got up and said:

“The so-called people cannot step into the same river twice, in fact, it is the passing of the timeline, which cannot be stepped into in 2 dimensions, but in 3 dimensions, it is the same river, because time is also a necessary part.

Even philosophical thinking is based on dimensions. “

The wizards discussed enthusiastically. They unknowingly began to discuss the clock slow effect and the ruler reduction effect. When they asked Ace, Ace snapped his fingers and a holographic picture appeared.

“If we want to understand these two effects, we need to understand light first, and to be precise about the world line of light.

We know that the speed of light is constant, then it is a straight line on the time-space map, 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 one and a slope of 45 degrees. “

Ace’s hologram shows a 2-dimensional coordinate system with a horizontal axis and a vertical axis. The world line of the speed of light is exactly the sloping line with a slope of one.

People began to stared wide-eyed, which is obviously a very simple 2-dimensional plan, but it seems to contain the mysteries and truths of the world.

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

“An object that moves in a straight line at an average speed, we regard this 3-dimensional object as a point with no length, width, and height, so its world line is also a straight line.

According to the theory of relativity, no speed can exceed the speed of light, so the slope of any line must be greater than or equal to one, and it is meaningless to be less than one.

An object that moves at a variable speed is a parabola. “

Bayern looked at this two-dimensional coordinate system, with rays of light shining in his eyes, and his understanding of prophecy magic changed again, or even deeper.

“The speed of light is the dividing line. If you take the present as the starting point and divide time into the past, present, and future, it will be represented graphically as a cone of light.”

Bayern slowly said that a picture of a two-dimensional coordinate system emerged. He held up his hands and said seriously: “The upper part of the light cone is the future, and the lower part is the past. The intersection of the coordinate system is the present, and the rest is meaningless. “

Ace smiled and said: “That’s right, you comprehended the most basic principles, Bayern.”

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

This idea is buried in Bayern’s mind, like a new seed.

Ace continued: “Now please listen carefully, let us use the theory of relativity to understand the scale reduction effect and the clock slow effect.”

There is a faint sound of Thunderbolt, Thoth’s projection trembles all over, seeming to feel Dayuan’s attention and expectations?

He looked at Ace, who was talking, and felt extremely complicated for a while.

“Now suppose there are two reference systems, the a system is stationary, and the b system is moving in a uniform straight line. According to the Blania transformation, the coordinates of the two in the same space-time map can be obtained.

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

A two-dimensional coordinate map appeared in the eyes of everyone, “In fact, we were’cheated’ by the time-space map. This situation often occurs, but it does not conform to our thinking habits that’s all.

For example, when drawing an ordinary 3D coordinate system 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 reference, the coordinate axes of the a system are not perpendicular to each other, so The two inertial coordinate systems are equal.

Then we now suppose that there is a stationary ruler in the a system, and the ruler is naturally moving in the b system. In the time-space diagram, it looks like this. “

Ace snapped his fingers again, and there was a shadow in the space-time map coordinate system, which indicated “the world surface of the ruler”.

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

Pieces of bizarre Fifth Level rune (rule-level rune) are faintly discernible, like scratching on a boot, although they can relieve the itch, they are not really comfortable.

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

According to the theory of relativity, the moving ruler will be shortened, that is, 0b is less than 0a, but in fact it is obvious that 0a is less than 0b. Why? “

Everyone frowned and thought, Blenia stood up and bowed again: “The ruler reduction effect refers to the length of the same ruler measured in a certain inertial system. The measured value during relative motion is shorter than when it is at rest.

0b is the length of the ruler used to measure movement in the b series, but 0a does not represent the length of the ruler when it is still in the b series, so the comparison of 2 does not conform to the theory of relativity. This is the time-space diagram that has been’deceived’ from our habits . “

Ace couldn’t help applauding: “Your Excellency Blenia, your math innate talent is amazing, everyone, that’s the way it is. If we want to know the length of the ruler when it is stationary under the B system, we need to make a calibration curve, namely Hyperbolic calibration curve derived by Blania transformation.

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

Since the status of series a and series b are equal, when the ruler moves with series b, the measurement value in series a will be smaller than 0a. “

There are more and more faintly discernible rule-level runes, covering the hall, like a piece of Star Sea, and Ace is the center of this Star Sea, and rune surrounds him.

“Something seems to be brewing, is the new spell model?”

Ace’s mental state within the realm seemed to have a perception. He continued: “Let’s look at the clock slow effect again. Now suppose there are two clocks that are not bad every second. At time t, two clocks are calibrated, and one remains The a series, the other stays in the b series.”

Following Ace’s words, the time-space map changed again.

“From the perspective of the a series, the clock of the b series has slowed down. By the same token, in the view of the b series, the clock of the a series has slowed down. Which clock is it slow?”

Ace’s voice was deafening, and everyone felt as if they were immersed in the infinite clock world within the realm, and even some legendary wizards’ mental images of the world showed signs of collapse again.

Don’t hesitate, Ace continued: “In fact, the two clocks did not slow down, everything is an’illusion’ brought about by motion. The two relative moving inertial systems all think that the other’s time is expanding, and both think that the other’s The ruler is shortening, and this is the reality of the world. Under movement, everything is relative.”

Dana couldn’t help being muttered: “What should we use as a standard?”

Everyone looked at a loss, and even a group of people in the wizard’s cream of the crop would be confused. Under Ace’s eyelids, there were several people who felt that the world’s cognition was broken and solidified. Ace can almost predict that this will inevitably bring a large number of Levels. 1. The brutal bloodshed of Level 2 wizards.

But all these are 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 person touching an elephant. Do you think it has nothing to do with me whether the elephant is a pillar or a fan. Anyway, I believe that an elephant is a pipe. As for the true face of an elephant, it is in three dimensions. We can never recognize it, and this is meaningless.

Even if the dimension is upgraded for a short time, you can only realize the whole picture at the moment of upgrading, and you will lose the corresponding cognition after the dimension reduction. “

A large number of Fifth Level runes poured into Ace’s eyebrows. His mind was like the world within the realm, gathering more and more runes related to time and space. These runes are not different from the time realm runes, but have very similar characteristics.

Everyone was in a dream, even True God Toth was a little confused. For a long time, he was the first to wake up and found that Ace had disappeared.

He got up and said to everyone: “We may really be blind in the 4-dimensional world, but mathematics will become our eyes for understanding the world. Everyone, as a True God, I was lucky enough to reach the 4-dimensional world. At that time, I didn’t know. , Just call it the Secret Realm of God.

Today, we can say with certainty that we can ascend to the 4-dimensional time and space, and the wizard’s future should also be in a higher dimension. We cannot achieve eternal super-dimensionality, even 6 level existence cannot achieve it, but As long as our lives continue, as long as the fire of research is not extinguished, one day we will rely on mathematics to achieve ascension and discover more truth. “

His silhouette slowly disappeared, and the wizards also dispersed.

With Blenia’s support, Thales stared blankly at the starry sky, with a wry smile at the corner of his mouth.

Blenia comforted: “Thales, don’t be discouraged. Broken and frozen cognition does not mean that there is no future. We will definitely find a way to recover.”

Thales looked at Blenia and whispered: “It’s okay. It is really difficult to understand from common sense, but as long as you live, there is hope. I just learned about 4-dimensional time and space, such a wonderful and unknown world, how could we miss it? !”

The endless starry sky, the dream star that Ace’s secondary plane collapsed into, the invisible magic net is still weaving.

Ace has returned to its own sub-plane. The True God projection has reduced the World Tree leaves to half, and all the stars have been lit. In the small galaxy universe, everything is business as usual.

“First stop and continue to refining World Tree leaves. Together, we will try to construct our new spell according to the great source gift.”

Ace sinks his mind into the world, the sea of ​​rules and runes, where three spell models float here, namely “3-dimensional door”, “4-dimensional space-time construction” and “space-time puzzle lock”.

The ten-ring spell “space-time puzzle lock” just obtained is actually a demonstration of the scale reduction effect and the clock slow effect. This is a very magical space-time spell, which will construct a complex space-time system and space-time map, allowing the subject to thoroughly Lost in the 4-dimensional complex time and space.

“First of all, we need to construct the 9-ring spell ‘4-dimensional gate’. The essence of the ten-ring Legendary spell is a 4-dimensional picture, and we cannot construct it completely on the 3-dimensional level.

The 9-ring spell itself is in the process of going from 3 dimensions to 4 dimensions, which is completely consistent with the ‘4 dimension gate’. “

He manifested the spell model illusory shadow and connected it with the “door” in the magic temple deep in the silver heart. The tremor from the soul made Ace instantly feel the almost 4-dimensional strange state.

In an instant, Ace seemed to “see” a certain kind of particle, a certain superluminal particle predicted by the special theory of relativity.

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

“Stable structure of the 4-dimensional gate, this will be one of the wizard’s biggest cards in the storm!”