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It is the ordinary three-dimensional plus the timeline (the fourth dimension), which is the so-called four-dimensional space. Points are one-dimensional. There are two dimensions of length and width, and three dimensions of length and width and height. Now all we can perceive is three dimensions.
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Zero-dimensional: point. One-dimensional: line.
2D: Surface. Three-dimensional: three-dimensional.
Four-dimensional: convoluted space.
Klein bottle. Hypercube.
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Length, width and height time.
In fact, the landlord can go directly.
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Four-dimensional space refers to a space that is made up of three spatial dimensions: time and space. To put it more figuratively, we can compare it to a coordinate system composed of three spatial coordinates and one time coordinate. This concept was first proposed by Albert Einstein in his theory of relativity, and is considered to have completely upended the understanding of time and space in Newton's time.
The first dimension: time.
As the most important dimension in a four-dimensional space, time can be thought of as a sequential marker of events. In practice, time is often expressed in seconds. It is worth mentioning that due to the existence of time, the four-dimensional space has become a very peculiar space, and the development of disciplines such as relativity theory and quantum mechanics is also inseparable from time.
Second dimension: spatial dimension one.
Like three-dimensional space, spatial dimension one is also known as width, which refers to the length of an object in that direction. For example, on a two-dimensional plane, abscissa is an example of a one-dimensional space. In life, we often use rulers and other tools to measure the length of an object, which involves one-dimensional space.
The third dimension: the second dimension of spatial envy.
Spatial dimension two, also known as height, refers to the height of an object in that direction. For example, in three-dimensional space, we can describe the position of an object in the vertical direction by the ordinate. In reality, the height of buildings, mountain peaks, etc., also belong to the category of three-dimensional space.
Fourth dimension: spatial dimension three.
Spatial dimension three, also known as depth, refers to the depth of an object in that direction. For example, in 3D modeling software, we can represent the position of an object in the depth direction by diagonal axes. In reality, the thickness of buildings, the depth of the human body, etc., also belong to the category of three-dimensional space.
Applications of four-dimensional space.
Four-dimensional space has a wide range of applications in scientific research and practical applications. For example, the theory of relativity solves the problem of interaction between systems of motion by establishing the concept of four-dimensional time and space. In the field of computer graphics, four-dimensional space is used to describe complex transformations such as rotation, improving the effectiveness of image processing.
In addition, the concept of four-dimensional space-time can also be applied to financial derivatives and other fields.
Brief summary. Four-dimensional space is composed of time and three spatial dimensions, including time, width, height, and depth. The concept of four-dimensional space-time with one dimension of time has a wide range of applications in modern science and application, and is an important basis for our understanding of the world.
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Four-dimensional space is a concept of space-time, which contains one-dimensional, two-dimensional, three-dimensional, and mind.
In simple terms, any space with four dimensions can be called a four-dimensional space. Four-dimensional space is different from three-dimensional space, which refers to standard Euclidean space and can be extended to n-dimension. As three-dimensional objects, human beings can understand four-dimensional space-time (three spatial dimensions and one temporal dimension), but they cannot recognize and exist in four-dimensional space, because human beings belong to the third cavity and late spatial dimension creatures.
Time is usually the fourth dimension, that is, the time dimension under the fourth dimension of space-time. The fourth dimension of four-dimensional space refers to the dimension of space with the same properties as x, y, and z. However, the four-dimensional space-time is not a standard Euclidean space, and the essence of time is to describe the speed of motion.
Through the evolution of one-dimensional, two-dimensional, and three-dimensional space, some conjectures about four-dimensional space have been proposed.
Four-dimensional meaning
Since the birth of geometry, countless people who have learned geometry have developed rational cognition and views on things in the universe, and have understood and realized some advantages of straight lines and planes. For example, there are many ways to walk from one place to another in an open field, so how can you save some effort by walking? The wise person will give the right answer and go to the nearest one.
How to walk the nearest is obviously the closest in a straight line. The concept of straight lines is inseparable from geometry, and the benefits of the application of various geometric principles to engineering based on this are immeasurable. We can sort out the past and the future with the linear characteristics of time coherence and keep it in our minds, and the time shuttle and the shuttle about parallel space have also been supported by theory and have the possibility of practice.
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The "four dimensions" of four-dimensional space refer to length, width, height, and time. Four-dimensional space is a concept of space-time. In general, any space with four dimensions can be called a "four-dimensional space".
However, most of the "four-dimensional space" mentioned in daily life refers to the concept of "four-dimensional space-time" mentioned by Einstein in his "General Theory of Relativity" and "Special Theory of Relativity" (collectively referred to as "relativity").
According to Einstein's theory of relativity, the three-dimensional space we face in our lives plus time constitutes the so-called four-dimensional space. Since the time we perceive on the earth is very slow, we will not clearly perceive the existence of the four-dimensional space, but once we board the spaceship or arrive in the universe, the speed of the reference frame in which we are located begins to speed up or begins to approach the speed of light, we can find the change in time by comparison.
Four-dimensional space, also known as "Euclidean four-dimensional space", is a standard Euclidean space. It is a mathematical concept that can be extended to the n-dimension; The fourth dimension of the four-dimensional space refers to the spatial dimension of the same nature as x, y, and z.
For four-dimensional space, it is generally accepted that space is axisymmetric, or centrally symmetrical. For example, if a person in three-dimensional space enters four-dimensional space and "rotates" it in an appropriate way and then returns to three-dimensional space, then he will be "axisymmetric".
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What is Four-Dimensional Space? What: Is it a four-dimensional space, and what could be in a four-dimensional space?
According to the superposition of space, space is a space where countless three-dimensional spaces are superimposed together. Of course, the purely spatial nature of this is not enough to explain it. It should also have the nature of time, because space and time are inextricably linked, but humans have never seen what a higher level of space is like, so it is difficult to say what it is.
First of all, the superposition of space in space is relatively easy to understand. For example, our current three-dimensional space is superimposed on countless planes, but if we want to separate these countless planes, then this is not a three-dimensional space, but a two-dimensional space model one after another. This involves some collections, some extreme thinking.
Perhaps differential equations in higher mathematics have such an idea to cut an irregular object. It becomes an infinite number of planes and then superimposed, but this superposition is still coherent.
The second is the change of time. It is said that time and space are inseparable. What is the difference between our three-dimensional space and two-dimensional space?
What's the difference between us and high-rise space? It should be said that the wider the dimension of space, the greater the possibility of using time. We're just on a timeline and it's not fluctuating.
When we reach the four-dimensional space, it may have an impact under a certain force. When time comes to local changes, people reach six dimensions, even six dimensions, or even seven dimensions, and a time plane can be formed. When they reach the ninth dimension, they form a body of time.
Time is something that cannot be seen or touched. But the higher the level of space, the more you know about it.
Time and space are the most essential things in the universe, and they are also the most magical things. Albert Einstein and some of the great physics scientists who came after were working on this thing, both macroscopic and microscopic, but no one could say exactly how time came about, and time would eventually go, because our current technological development may still be at a very high level. Very early start-ups.
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