Vol 6 Chapter 35: Hole cards


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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 new to all wizards. It also represents power. The unknown four-dimensional space and the expansion of time make the wizards’ brains a little painful.
"This theory is not very friendly."
Laval pushed his glasses and murmured.
Ace continued on the stage:
We know that three-dimensional space can be represented by a vertical or orthogonal coordinate system. Time, as the fourth dimension, 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, and Ace's eyes were full of expectation. After a long silence, Blenia stood 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, and said with a little approval: "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 four-dimensional space-time.
Suppose 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 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 making a circular motion around a stone.
"As time goes by, the stone remains 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. 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 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 plunged into thinking. Thoth’s mythical wizard stood up and said:
I understand that we are in a three-dimensional world. Before we are ascended, we cannot imagine and depict the four-dimensional state anyway.
In other words, three-dimensional existence cannot directly imagine and describe four-dimensional existence.
However, mathematics has given us power. We can collapse three dimensions into zero dimension, which is a point, and then an event is a point. The line segment connecting these two points is four dimensions.
Mathematics is everything in this world, all true! "
The Lich Werther had turned into a young man, and he got up and said:
"The so-called people cannot step into the same river twice. In fact, it is the passage of time. You cannot step into it in three dimensions. But in the four dimensions, it is the same river, because time is also a necessary part.
Even philosophical thinking is based on dimensions. "
The wizards were discussing 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 accurately understand 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 of one and an oblique angle of forty-five degrees. "
Ace's holographic picture shows a two-dimensional coordinate system with a horizontal axis and a vertical axis. The world line of the speed of light is exactly the with a of one.
People began to stare. It was a very simple two-dimensional plan, but it seemed to contain the mysteries and truths of the world.
Ace snapped his fingers, and a diagonal line on the upper left of the world line of light was slowly drawn.
"An object that moves in a straight line at an average speed, we regard this three-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 of any line must be greater than or equal to one, and it is meaningless to be less than one.
An object moving at a variable speed is a parabola. "
Bayern looked at the two-dimensional coordinate system, his eyes gleaming, 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 raised 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 other is meaningless. "
Ace smiled and said: "That's right, you understand 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 impossible time and space?
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 was a faint sound of thunder, and Thoth’s projection trembled, as if he felt 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'deceived' by the time-space map. This situation often occurs, but it does not conform to our thinking habits.
For example, when drawing an ordinary three-dimensional 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 All 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, suggesting "the world of the ruler".
The shock and joy of Da Yuan 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.
The strange five-level runes (rule-level runes) are looming, as if they are scratching in the boots, although they can relieve the itch, they can't be really comfortable.
Ignoring all this, Ace said with piercing eyes: "In this picture, the intersection point of the coordinate system is 0, 0a is the length of the ruler t under the a system, and 0b is the length of the ruler t under 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 system, but 0a does not represent the length of the ruler when it is still in the b system. Therefore, comparing the two does not conform to the theory of relativity. This is the time-space diagram that has been "deceived" from our habits. . "
Ace clapped involuntarily and said: "Your Excellency Blenia, your mathematics talent is amazing, everyone, that's it. If we want to know the length of the ruler when it is stationary under the B series, 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 the a series and the b series are equal, when the ruler moves with the b series, the measurement value in the a series will be smaller than 0a. "
There are more and more looming rule-level runes, covering the hall like a sea of ​​stars, and Ace is the center of this sea of ​​stars, and the runes surround him.
"Something seems to be brewing, is a new spell model?"
In Ace’s mental world, there seems to be 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, the 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 endless world of clocks, and even some legendary wizards’ mental worlds once again showed signs of collapse.
Not hesitating, Ace continued:
In fact, neither clock slows down, everything is an'illusion' brought about by motion. The two relative moving inertial systems both think that the time of each other is expanding, and both think that the other's time is expanding. The ruler is shortening, and this is the reality of the world. Under movement, everything is relative."
Dana couldn't help muttering: "What should we set as the standard?"
Everyone looked at a loss, and even the top group of wizards would be confused. Under Ace’s eyelids, there are several people whose mental perceptions of the world are broken and solidified. Ace can almost predict that this will inevitably bring a large number of people. The cruel bloodshed of the second-level and second-level wizards.
But all these are necessary for growth, and there is no time to wait any longer.
Ace said loudly: "The so-called standards are actually meaningless, 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 the elephant is a pipe. As for the true face of an elephant, it is three-dimensional. 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 level five runes poured into Ace’s eyebrows. In his mental world, more and more runes related to time and space were gathered. These runes are not different from the time domain runes, but they are very similar. characteristic.
Everyone was in a dream, even the true Thoth 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 four-dimensional world, but mathematics will become our eyes to know the world. Everyone, as a true god, I was lucky enough to arrive in the four-dimensional world. At that time, I didn’t know it. It is the mystery of the gods.
Today, we can say with certainty that we can ascend to the four-dimensional time and space, and the wizard’s future should also be in a higher dimension. We cannot achieve eternal super-dimensionality. Even the sixth level of existence cannot reach it, but as long as Our lives are endless. As long as the fire of research is not extinguished, one day we will rely on mathematics to achieve ascendancy and discover more truth. "
His figure 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.
Brynia 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 said in a low voice: "It's okay. It is really difficult to understand from common sense, but as long as you live, there is hope. We just learned about the four-dimensional space-time, 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 his sub-plane. The True God Projection has reduced the leaves of the World Tree into a half, all the stars have been lit, and everything is as usual in the small galaxy universe.
"First stop refining the leaves of the World Tree. Together, we will try to construct our new spell based on the great source gift."
Ace sinks his mind into the world of mental images. In the sea of ​​regular runes, three spell models float here, namely "Four-Dimensional Gate", "Construction of Four-Dimensional Time and Space" and "Time and Space Lost Lock~EbookFREE.me~ the ten rings just obtained. The spell "Time and Space Secret Lock" is actually a display of the scale reduction effect and the clock slow effect. This is a very magical time and space spell, which will construct a complex time and space system and time and space map, so that the subject is completely lost in the four-dimensional complex In time and space.
"First, we need to construct the "four-dimensional gate" of the nine-ring spell. The essence of the ten-ring legendary spell is a four-dimensional picture, and we cannot construct it completely on the three-dimensional level.
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 revealed the phantom of the magic model and connected it to the "door" in the magic temple deep in the silver heart. The tremor from the soul made Ace instantly feel the almost four-dimensional strange state.
In an instant, Ace seemed to "see" a certain 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.
"Construct the four-dimensional gate stably. This will be one of the wizard's biggest cards in the storm!"
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