-
The Panstad Staircase is a geometric paradox, in a staircase that goes all the way up or all the way down, you can't find the highest point and the lowest point, you can't find the end of the staircase, you can't go down the stairs again, because it's a circular staircase that connects to each other.
If there really is such a ladder in the world, it must be the most popular tourist attraction, and the moment you step on the ladder, you will be isolated from the world, and walk on a ladder that seems to be only a few hundred meters long, but in fact it is never-ending, and walks a road as long as life.
Although we wish that there really was such a strange thing as the Pansta Ladder in the world, it is a pity that this is only a hypothesis after all, and it does not exist in reality. But when we look at the Panstad Ladder from **, it seems to be possible, including the animation presentation is so real, but why is it not true in the real world?
The division of dimensional worlds varies according to different theories.
For example, the four-dimensional space we often hear is three-dimensional space plus the time axis, which is Minkowski's four-dimensional space-time, not four-dimensional space in the general sense.
If we discuss why the Panstad Ladder is sometimes feasible and sometimes not feasible in different dimensions, we have to look at it in a general sense of dimensional space.
The most direct judgment of multidimensional space is that several straight lines perpendicular to each other can be made by passing a point in space. Zero-dimensional space cannot make any straight line, it is just a simple point. One-dimensional space is the ability to make a straight line, and so on.
-
Not yetExplored, but theoretically exist.
Main information:
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.
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.
However, when people refer to "four-dimensional space", they often confuse it with the "four-dimensional space-time" (called "Minkowski space") mentioned by Einstein in his theory of relativity.
-
Some of the explanatory concepts proposed by scientists about this four-dimensional space are various four-dimensional objects (Klein bottles, Penrose stairs, etc.).
In fact, there are similar examples of this in many film and television dramas, such as magic circle teleportation, phantom transformation, transformation, Qiankun bag, etc. It is the use of higher dimensions of space (distortion, bridging, spanning, etc.) on top of three-dimensional space
-
It's real. In simple terms, any space with four dimensions can be called a "four-dimensional space."
So you won't feel the existence of a four-dimensional space, but once you board the spaceship.
Or to reach into the universe and make itself in the frame of reference.
When the speed starts to get faster or starts to approach the speed of light, we can compare and find the change in time.
In the history of human science, scientists have not stopped exploring four-dimensional space, and space and time, as the most difficult exploration directions, have stumped countless scientists, according to Einstein.
According to the theory of relativity, a four-dimensional space is a three-dimensional space.
Add the dimension of time, and then form a four-dimensional space.
Definition of the dimension
Albert Einstein proposed in his theory of relativity that the universe has dimensions (i.e., time and space). Generally speaking, we think that we are in a three-dimensional space, the so-called three-dimensional space, that is, every point in the space we are in can be interpreted by three coordinates, that is, length, width and height.
In our three-dimensional world, time is just a virtual concept, but in the four-dimensional world, time may be a mountain that can be seen and touched.
-
The four-dimensional space was confirmed.
In fact, the four-dimensional space has long been confirmed by the German mathematician Bonhard Riemann to be real, Bonhard Riemann is a hypochondriac, usually very like to be alone, he has made important contributions to mathematical analysis and differential geometry, she created Riemannian geometry, to Einstein's general theory of relativity to provide a mathematical basis.
Later, he studied differential geometry and established the concept of Riemann space, and also proved that four-dimensional space is real, and that four-dimensional space is different from three-dimensional space, which refers to standard Euclidean space and can be extended to n-dimension. However, human beings are not yet able to enter the four-dimensional space, if human beings want to enter the four-dimensional empty plexus search room, then first of all, human beings need to adapt to the living environment of the four-dimensional space, and there is a clear difference between the four-dimensional space and the three-dimensional space.
Conceptual significance of four-dimensional space
In addition to the three-dimensional world that human beings live in, there is also a four-dimensional space, and the human organs, limbs, brains, etc., all operate according to the laws of the three-dimensional space, and at the same time, they are also greatly restricted.
According to his reasoning, there is no left, right, back, back, up and down in 4 dimensional space, and there is no direction. Therefore, with the full development of intelligent computers, scientists can use supercomputers to build a four-dimensional space and perform high-speed computing on it. Then the biggest difference between the 3-dimensional world and the 4-dimensional space may be the problem of time and space.
Normally, we are in a three-dimensional space, and everything is presented in three dimensions: width, length and height, so once a person breaks into the four-dimensional world, it is possible to break free from the rules of three-dimensional space and become a time controller, who can know the past and the future and the present, and no longer have a wide length and height to look at things.
-
At present, the four-dimensional space is only a mathematical inference, and there is no actual evidence of its existence, but the existence of the four-dimensional space cannot be completely denied.
Four-dimensional space refers to adding another dimension to the length, width and height of three-dimensional space. We live in three-dimensional space, and we can understand very well that zero-dimensional is a point without length, width and height, one-dimensional is a line superimposed by points with only length without width and height, and two-dimensional is a surface superimposed by lines with length, width and height, and three-dimensional space is a cube with both length, width and height. According to the method of analogy, scientists believe that the four-dimensional space is the structure of a hypercube, and the projection in the three-dimensional space is the cube.
Four-dimensional space has not yet been confirmed in the current scientific community, it is only a hypothesis.
-
We can feel the length, width and height, and we can feel the passing of timeHowever, moments cannot be accessible, even visible, like space. However, if it is in the fourth dimension, then it is very likely that the moment is within reach, like the mountain peaks on the earthIn the four-dimensional space, a moment is a concrete thing, which can go forward and backward, just like going up and down a mountain. This is incomprehensible to us living in three-dimensional space, but it is also very fascinating, because everyone expects to be able to turn back at all times, and also expects to be able to understand their future in advance.
You can feel the four dimensions, one-dimensional moments, and three-dimensional space. According to the M theory, which is based on string theory, there are actually seven other dimensions in the universe, which we cannot perceive just when they are curled up. If the fourth dimension really exists, and human beings are able to enter the four-dimensional space, the results should be lost.
Such as ants with tentacles cut off. The misfortune of ants' weak eyesight, usually looking for food, recognizing directions, and hooking up with friends to connect with feelings all rely on this, cuttingAnts that lose their antennae can only feel the direction of the front and back, left and right, and cannot even distinguish between moving and stopped objects, if smooth obstacles are set up in two dimensions, that is, front and back, left and rightThen the ant could not tell that it was an obstacle, and only found that it was unable to move and was trapped, but the ant did not die immediately because of this.
-
The four-dimensional space should exist, but there is no evidence to prove its existence at present, and the technology is not very mature, so it is impossible to enter the four-dimensional space.
-
Of course, the four-dimensional space really exists. We humans will not be able to enter the four-dimensional space for the time being, but I believe that in the near future, scientists will be able to study the way to enter the four-dimensional space.
-
Four-dimensional space may really exist, but no one has ever seen it. We don't have a way to enter the thinking space yet, because with the current scientific and technological means, it is not possible to study it.
-
The four-dimensional space really exists, but science has not reached that point now, and it will be possible to enter the four-dimensional space in the future.
I don't think so. You see, if you reach that speed and fly towards the stars, the first thing you see is 200 years ago, an hour later it will be 180 years ago, and two hours later it will be 150 years ago (just make an assumption, I don't count). Because you are getting closer and closer to the stars, it doesn't mean that you have walked into it, but the light you see is still 200 years ago; The reason why you see the light 200 years ago is because you are 200 light-years away from it, and if you are 100 light-years away from it, you will see the stars from 100 years ago (and the light does not follow you). >>>More
The landlord may have misunderstood, let me tell the landlord, I am the most proficient in my side. >>>More
At present, human beings live in three-dimensional space, and as for the three-dimensional two-dimensional is the general term of the dimension, the dimension is composed of multiple units such as length, width and height, for example, the two-dimensional is composed of two units, length and width, and the three-dimensional is composed of the three units of length, width and height, although the world is composed of three-dimensional, but it does not mean that every living thing can recognize the three-dimensional space. >>>More
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.
This is not Einstein's theory of relativity, which does not take time into account. >>>More