What is Four Dimensional Space? Please give some details.

Four-dimensional space is a concept of space-time. In simple terms, 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 Albert Einstein in his "General Theory of Relativity" and "Special Theory of Relativity".

According to Einstein's concept, our universe is made up of time and space. The relationship between time and space is that there is an additional time axis in 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 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 Earth is very slow, we will not obviously feel the existence of four-dimensional space, but once we board a spaceship or reach the universe, we can find the change in time when the speed of our reference frame begins to speed up or begins to approach the speed of light.

If you sail in a spaceship that is close to the speed of light, you will live a lot longer than a person on Earth. There is a potential here where the energy of matter changes with speed. Therefore, the change and contrast of time is based on the speed of matter.

This is the reason why time is one of the elements of what is a four-dimensional space.

What is Four-Dimensional Space?

Standard Euclid space.

Four-dimensional space is different from three-dimensional space, four-dimensional space refers to the standard Euclidean space, human beings as three-dimensional objects can understand four-dimensional space-time, but can not recognize and exist in four-dimensional space, because human beings belong to the third dimension of space organisms, usually time is the fourth dimension, that is, the time dimension under the four-dimensional space-time, and the fourth dimension of four-dimensional space refers to the space dimension of the same nature as x, y, z.

Through the evolution of one-dimensional, two-dimensional, and three-dimensional space, some conjectures about four-dimensional space have been proposed. Although these conjectures cannot be proven correct now, many scientific theories are started by conjectures.

Nowadays, scientific theories are generally based on the summary of phenomena, and there is no accurate and clear understanding of the phenomena in the four-dimensional space, or the phenomena are seen but do not think that the phenomena are caused by the four-dimensional space.

Of course, it is also possible to define the topological space of the point, line and surface as the fourth dimension, the fifth dimension, the sixth dimension and even the nth dimension. This is easy to achieve in mathematical formula reasoning and derivation, but it is difficult to correspond and imagine reality.

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 four-dimensional space refers to the dimension of space with the same properties as x, y, and z.

In physics and mathematics, a sequence of n numbers can be understood as positions in an n-dimensional space. When n = 4, the set of all such positions is called a four-dimensional space. The four-dimensional space is different from the three-dimensional space that people live in because there is one more dimension.

Orthogonality. In the familiar three-dimensional space, there are three main pairs of directions: up and down (altitude), north and south (latitude), and east and west (longitude).

These three pairs are orthogonal in pairs, that is, they are at right angles. Mathematically, they are on three different axes, x, y, z. Depth buffering in computer graphics refers to this z-axis, which represents depth on a computer's two-dimensional screen.

The purely spatial four-dimensional space has another pair of cardinal directions perpendicular to the other three cardinal directions. This pair of directions is on another coordinate axis that is also perpendicular to the x, y, and z axes, often called the w axis. Opinions differ on the naming of these two directions.

Some of the current names are Anna Kata, Spichitus Spatithu, Vein Vio, and Epsilon Delta.

1. Four-dimensional space is a concept of time and space. Four-dimensional space refers to standard Euclidean space, which can be extended to n-dimensional; Four-dimensional space-time refers to a misunderstanding of Minkowski's concept of space.

2. Human beings, as three-dimensional objects, can understand four-dimensional space-time but cannot recognize and exist in four-dimensional space, because human beings belong to the third dimension of space. Time is usually the fourth dimension, that is, the time dimension under the fourth dimension of space-time.

3. The fourth dimension of the four-dimensional space refers to the spatial dimension of the same nature as x, y, and z. However, the four-dimensional space-time juxtaposition is not a standard Euclidean space, and the essence of time is to describe the speed of motion.