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The secret mathematics tabloid of the times
The concept of dimension was put forward by Kaluza-Klein. In Einstein's general theory of relativity, it contains two parameters: the gravitational constant G and the cosmological constant λ (λ), both of which are considered to change independently with time. However, at that time, it was difficult to unify the interaction of some forces. Kaluza and Klein, two good friends, thought hard day and night and finally came up with a good method and put forward the idea of adding dimensions on the basis of four-dimensional space-time, which pushed the general relativity to the development of high-dimensional space-time.

The dimension mentioned above is another name for the dimension we know. This idea gave scientists and mathematicians new ideas. With the popularity of the word "dimension", the concept of "dimension" has gradually become complicated, and the word "dimension" has been shrouded in mystery with speculation and fantasy.

First of all, let's talk about the dimensional brain hole circulating in the network and based on the theory extended from it, we live in a three-dimensional space, which starts from a special "negative dimension" (the lowest dimension, which is also the ultimate foundation of all polytypes), and the unit is 4 ×10-293; To "zero dimension" (almost negligible), the unit is 10-99 (Planck unit), which can be regarded as a point; To "one dimension", the line we understand; "Two-dimensional", a plane composed of lines; "Three-dimensional" is a three-dimensional composed of faces. This is the world as we know it. However, one-dimensional, two-dimensional and three-dimensional all exist in thinking, all have variables, and all change at the time when we name them. So we introduce the dimension of time as the fourth dimension, and all the cosmic substances we can perceive are based on four-dimensional space-time.

This is the so-called four-dimensional time and space. After simple study, we can all understand the three-dimensional world we are familiar with. Through thinking, we can perceive the passage of time, but we can't observe it intuitively. This is the limitation of low-latitude creatures' perception of high dimensions. For a simple example, comics. The characters in comics are two-dimensional, they are confined to a piece of paper, and their timeline is a page we define. With the development of comic stories, the number of pages will increase. If they can think, they will also feel that "the event is in progress", and we can search their page at any time (it feels like an omniscient and omnipotent god here).

What about the fifth dimension? In the fifth dimension, it is also understood that the origin has become "one-dimensional", that is, "one-dimensional" is regarded as "zero-dimensional", and we are shown in high-dimensional creatures through the timeline like "two-dimensional" anime people. Through the timeline, they can view any time on this line at will. I'm afraid to think of it. Are humans "people in pictures"? )

In the sixth dimension, that is, some parallel universes, friends who have seen the stone of destiny Gate may understand at a glance that it is actually another branch of a timeline, which is caused by different choices. That is, they can jump and choose at will in the branch, all the possibilities of the fifth dimension. For a simple example, draw a line on paper. The line has two points, A and B. From a two-dimensional point of view, this line has only one path, while from a three-dimensional point of view, there are countless lines from A to B on the surface of that straight line. In the same way, we look at five dimensions from six dimensions. Five-dimensional creatures can only see one possibility when they change the past, but it creates a parallel universe, and there is only one way to reach it. Six-dimensional creatures can see each parallel universe and control the possibility of the fifth dimension.

In the seventh dimension, it is almost a perfect dimension, which can have infinite possibilities and jump all parallel spaces.

According to this, it is actually equivalent to a Russian doll, which can be set infinitely. However, the more powerful the description, the brain hole will stop here.

So, what are the dimensions in physics and mathematics? Putting aside fantasy is actually an idea used to solve difficult problems in mathematics and physics, change ideas and simplify and clarify problems. The first three dimensions are the same, point, line and surface. However, these are all to express the position and simplify the mathematical model.

For example, if the ball rolls on a plane, then we need to know the position of the ball. Then, by establishing the coordinate system, the point coordinates (x, y) of the ball can be obtained. This is two-dimensional. If it is floating, then we add z and use (x, y, z) to represent the height position of the ball. This is three-dimensional. Then continue, the ball moves in space, and we want to express its state, such as speed, whether it rotates or not, and the angular velocity of rotation. After adding these dimensions, researchers can build a model and understand it clearly. Otherwise, without these, you can study the state of the ball, then that person must be completely blind and unable to start.

In string theory, high dimension is what we call dimension. In fact, it is a concept that must be introduced when particle physics develops to a certain extent, which makes it more convenient for physicists to study the changes of particles with time. Real physics studies objects, not what we understand. Everything is placed in an ideal environment, but the space changes. It includes charge change, strength change, gravity change, spin change, resonance change and so on. With the development of our science and technology, it is found that the theory in a broad sense is increasingly unsuitable for microscopic particles. In order to study more thoroughly and accurately, it is inevitable to introduce the concept of dimension.

At present, the concept of dimension is still vague, which is why there are different views. There are endless supernatural phenomena in the world, such as reincarnation, the existence of souls, and the prediction of dreams. People are always awed by the unknown and curious about the mystery, but fantasy can meet all expectations. Therefore, Einstein still believed in God after he could not understand this vast universe in his later years. Planck lamented in his later years: "The final conclusion of my research on atoms is that there is no such thing as matter in the world, and matter is composed of rapidly vibrating quanta!" He further analyzed: "All matter comes from a force that makes atoms move and keep close together. We must realize that behind this power is consciousness and mind, and mind is the foundation of all matter. "

Maybe we do have a soul, a projection of high latitude at low latitude; Maybe we push ourselves into a desperate situation in fantasy, and the reality makes us feel extremely small; Maybe the mysterious veil is only one step away from us. .......