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Three-dimensional space is real, but humans can only understand three-dimensional, because human eyes can only see three-dimensional, so it is difficult to explain more than three-dimensional. The space above three dimensions needs to be constructed mathematically, but it is difficult to understand it carefully. On the basis of quantum mechanics, it is believed that the maximum dimensional space in the universe is 11 dimensions.
Dimension is a measure, which can be understood as direction, simply put: 0 dimension is a point, and there is no definition of length, width, or height. One dimension is a line made up of countless points, only length, no width and height.
A two-dimensional is a surface made up of countless lines, with length and width but not height. Three-dimensional is a body composed of countless faces, both in length, width and height.
On the three-dimensional spatial coordinates, plus the interconnection of time and space-time, the four-dimensional space-time can be formed. The four-dimensional space mentioned in daily life is a concept of time and space, and our universe is made up of time and space. Due to the relationship between time and space, an additional timeline is added in the spatial structure in addition to the three axes of length, width and height of ordinary three-dimensional space, and this timeline is an imaginary number axis.
The space that human beings currently live in is three-dimensional space, and there are three measurement coordinates, just like there are three measures in space: length, width, and height. Scientists speculate that there may be many dimensions in the vast universe, and aliens may exist in higher dimensional spaces.
Albert Einstein once mentioned in the Theory of Relativity that there is a huge gravitational force in the universe, and under the interaction of gravity, the universe is distorted and stretched into a number of different dimensional spaces, and different levels of organisms live in different dimensional spaces. Due to the low level of human civilization, they can only live in three-dimensional space.
Add a timeline to the four-dimensional space, and that is the five-dimensional space. For example, Schrödinger's cat, between opening and closing, you can see the life and death of the cat, but you can't see the life and death of the cat at the same time, that is to say, the problem of parallel time and space can be seen in the five-dimensional space. The six-dimensional space can control the parallel universe, just like the Flash went back to the past to change the world, which means that the six-dimensional space can directly control and change the situation in the parallel space.
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The spatial dimension has a long history, the earliest can be traced back to independent parameters in mathematics, in the long era of physics after World War II, in addition to the theory of "three masters", theoretical physics also gave birth to a string theory, string theory believes that all microscopic particles are caused by different modes of energy strings.
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Among the dimensional spaces, the highest is the 11-dimensional space. Scientists have deduced that the universe is divided into 11 dimensions based on string theory, and humans currently only exist in three-dimensional space.
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The concept of "space" can be understood from multiple perspectives, but usually we understand space from a three-dimensional perspective.
First of all, we humans live in three-dimensional space.
can easily perceive one-dimensional, two-dimensional and three-dimensional space, but it is relatively difficult to understand more than four-dimensional space.
But theoretically, space can be arbitrary, but we can't easily understand it yet. Taking the four-dimensional space as an example, on the basis of the three-dimensional space, we add the time dimension to enter the four-dimensional space.
Conception. We can understand that there are countless three-dimensional spaces in the universe that are similar to our here and now, one at each point in time, so the three-dimensional spaces at all these points in time are superimposed, and it is a four-dimensional space. This is also a basic background for the current popularity of various time-traveling dramas.
But the concept of space is by no means limited to three-dimensional and four-dimensional, you can use your imagination to imagine the construction of high-dimensional space.
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Three-dimensional space and 11-dimensional space, that is all space, space has included all dimensional space.
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Three-dimensional space is our current space, and the eleventh and twenty-sixth dimensions are both true in string theory, but it is generally believed that there are eleven dimensions at the highest.
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At present, the spatial dimension that has been explored by human beings is four-dimensional space, which is three-dimensional space and a timeline.
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What dimension does the "three-dimensional space" refer to?
1.Wide and high eggplant Zen knowledge.
2.Length, width and height.
Correct answer: Length, width and height.
Three-dimensional space, which can refer to the space composed of three dimensions: length, width and height. Moreover, the term "three-dimensional space" used in daily life often refers to three-dimensional Euclidean space.
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The dimensionality of space refers to the number of independent coordinates required to describe space. Two-dimensional space is a plane and requires two independent coordinates: the x-axis and the y-axis; Three-dimensional space is the world we live in, and it needs three independent coordinates:
X-, Y-, and Z-axes. And in fact, the dimension of space can be higher, we can imagine four-dimensional space, five-dimensional space, and so on.
We can use mathematical methods to understand the dimension of space more deeply. The dimension of a vector space is the number of vectors contained in the basis of that vector space. Here the basis refers to a set of linearly independent vectors that can form any vector in a vector space.
In three-dimensional space, we typically use three standard unit vectors as bases: (1,0,0), (0,1,0), and (0,0,1). Therefore, the dimensionality of three-dimensional space is 3.
Similarly, we can define the basis of a four-dimensional space as four linearly independent vectors, the basis of a five-dimensional space as five linearly independent vectors, and so on. In this way, we can accurately describe vector operations, linear equations, and so on in high-dimensional spaces.
In physics, we can also think of time as the fourth dimension of perturbations, which constitutes a four-dimensional space-time (or Min's space-time). This concept is widely used in the theory of relativity and the grand ** theory, and is of great significance for our understanding of the origin and evolution of the universe.
In short, the dimension of space refers to the number of axes we use to describe space, which can be higher than the three dimensions of the space, or even infinitely high; In mathematics, the dimension of a vector space is the number of basis vectors required in the space where the quantity is located. <>
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The dimensionality formula is that the dimensionality of sum space is equal to the sum of the dimensionality of space, which subtracts the dimensionality of intersecting space. dim(v+u)=dimv+dimu-dim(v u), for example, in three-dimensional space, the sum space of the two-dimensional space where the xoy plane is located and the two-dimensional space where the yoz plane is located are three-dimensional space, and the intersection space of the two is the one-dimensional y-axis.
If the intersection space is zero space and its dimension is zero, then the sum space can be decomposed in a straight sum: dim(v u)=dimv+dimu, for example, the direct sum of the one-dimensional Rattan space of the x-axis and the two-dimensional space of the yoz plane is a three-dimensional space.
The theorem asserts:
The theorem asserts that there is ind r for any natural number n"=ind r"=dim r"= r"=n is Lebesgue, h l.
In 1911, Brouwer, L. Brouwer e. j.
Proved separately in 1913.
ind r"=n is Brouwer, L e. j.
Proved in 1913ind r"=n is Menger, KIn 1924, Uresund (YPMCON, II
c.Separately proved in 1925.
One dimension has only length.
The two-dimensional flat world is only long and wide.
Three-dimensional length, width and height Three-dimensional world The world we see with the naked eye Three-dimensional space is the space where the position of a point is determined by three coordinates. The objectively existing real space is three-dimensional space, with three measures: length, width, and height. The concept of multi-dimensional space introduced in mathematics, physics and other disciplines is a scientific abstraction based on three-dimensional space.
The Concept of Four-Dimensional Space-Time Most of the "four-dimensional space" mentioned in daily life refers to the concept of "four-dimensional space-time" mentioned by Albert Einstein in his "General Theory of Relativity" and "Special Theory of Relativity".
Our universe is made up of time and space. The relationship between time and space is that a time axis is added to the structure of space compared with the three axes of length, width and height of ordinary three-dimensional space, and this time axis is an axis of imaginary values. According to Albert Einstein's theory of relativity:
The three-dimensional space we face in our lives together with time constitutes the so-called four-dimensional space.
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The highest dimension of space has 11 dimensions.
We humans live in three-dimensional space, so the description of an object has three dimensions: length, width, and height. Correspondingly, the two-dimensional space is only long and wide, which is what we call a plane; In one-dimensional space, there is only one dimension of length, that is, a line without thickness and width; As for the zero-dimension, it is a point.
Countless one-dimensional forms two-dimensional, countless two-dimensional makes three-dimensional, and likewise countless three-dimensional dimensions make up four-dimensional. Generally speaking, the point moves into a line, the line moves into a surface, and the surface moves into a body, which is probably a change process from zero dimension (singularity) to one dimension to two dimensions and finally to three dimensions.
The connection between three-dimensional space and four-dimensional space:
Four-dimensional space is a concept of space-time. To put it simply, 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 four-dimensional space-time mentioned by Albert Einstein in his "General Theory of Relativity" and "Special Theory of Relativity".
According to Albert Einstein's concept of bridges, our universe is made up of time and space. The relationship between time and space is that in the structure of space, there is an additional time axis in addition to the three axes of length, width and height of ordinary three-dimensional space, and this time axis is an axis of imaginary values. <>
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Three-dimensional space (also known as three-dimensional space, three-dimensional, three-dimensional), which means that in daily life, it can refer to the space composed of three dimensions: length, width and height. Moreover, the term "three-dimensional space" used in daily life often refers to three-dimensional Euclidean space. In cosmology, it refers to length (length, difference, width, height), temperature, and quantity.
For a long time in history, three-dimensional space was considered a mathematical model of the space we live in. Physicists at the time believed that space was flat. Since the twentieth century, the discovery of non-Euclidean geometry has opened up other possibilities for the nature of real space.
The birth of the theory of relativity and the corresponding mathematical description: Minkowski space-time treats time and space as a whole as a four-dimensional continuum. Three-dimensional is a term used by ACGN subculture to refer to the real world or people and things based on the real world.
Opposite to "two-dimensional". Two dimensions is a term used in the ACGN subculture, which comes from the Japanese word "two dimensions", which means "two dimensions".
In Japan's early animation, manga, games, and other works, they were all composed of two-dimensional images, and the picture was a flat surface from our perspective, so the virtual world created through these carriers was called "two-dimensional world" by anime lovers, or "two-dimensional for short". Japanese parieki anime lovers refer to characters from anime, games, and other works.
The term is widely used in ACGN cultural circles as a term for "alternate worlds" or dream worlds, but ACGNs are not synonymous with two-dimensional.
The second dimension is the aesthetic world imagined by human beings. "Two-dimensional" is a type of culture, not a style.
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Three-dimensional space is a space composed of three dimensions: length, width, and height, and can accommodate two-dimensional.
In three-dimensional space, the distance of an object from its origin o is illustrated by three axes: length, width, and height.
Three-dimensional space is also known as three-dimensional, 3D, often refers to the three-dimensional three-dimensional space of Euclidean space, and in daily life, it can refer to the space composed of three dimensions: macro, width and height, which is the space that we can see and feel. Three-dimensional things are capable of accommodating two-dimensional.
The three axes of length, width, and height in three-dimensional space are to explain the distance relationship between objects in three-dimensional space relative to the origin o. Some rubber ropes are woven into a net according to the style of warp and weft, and flattened it, we can approximate it as a two-dimensional plane, and then put a small ball on the net, and the rubber net is concave under the gravity of the ball, which forms a three-dimensional space Three-dimensional space refers to the space where the position of the point is determined by three coordinates, with length, width and height.
Space and time are the forms of existence of matter in motion. Space is the extensibility of the existence of matter, and time is the continuity and sequence of the process of material movement. Like matter, space and time exist objectively and are eternal and independent of human consciousness.
Space and time are inseparable from the matter in motion, and there is no space-time that is separated from the movement of matter, and there is no matter that does not move in space-time. But spatiotemporal descriptions and metrics are relative.
The movement of matter in the natural sciences describes space and time through the selection of frames of reference. Three-dimensional space directly reflects the intuitive mind's grasp of the shape, size, distance, depth, direction and other characteristics of external objects.
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