Hello, let me solve the mathematical expression of four-dimensional space-time for you. I believe many friends still don't know. Now let's have a look! 1, the four-dimensional space of length, width and time is ...

Hello, let me solve the mathematical expression of four-dimensional space-time for you. I believe many friends still don't know. Now let's have a look!

1, the four-dimensional space of length, width and high time is a concept of time and space.

2. Simply put, any four-dimensional space can be called "four-dimensional space".

3. But the "four-dimensional space" mentioned in daily life mostly refers to the concept of "four-dimensional space-time" mentioned by Einstein in his general relativity and special relativity.

According to Einstein's concept, our universe is made up of time and space.

5. The relationship between time and space is to add a time axis to the three axes of length, width and height of ordinary three-dimensional space, and the axis of this time is an imaginary axis.

According to Einstein's theory of relativity, the three-dimensional space we face in life and time constitutes the so-called four-dimensional space.

7. Because the time we feel on the earth is very slow, we won't obviously feel the existence of four-dimensional space, but once we board a spaceship or reach the universe, when our reference system starts to get faster or close to the speed of light, we can find the change of time by comparison.

8. If you sail in a spaceship with a speed close to the speed of light, your life will be much longer than that of people on earth.

9. There is a potential field here, and the energy of matter will change with the change of speed.

10, so the change and comparison of time is based on the speed of matter.

1 1. This is why time is one of the elements of four-dimensional space.

12. Analyze four-dimensional space. What is four dimensions? Now three-dimensional space plus one-dimensional time constitutes the so-called four-dimensional space.

13 However, this statement is broken at a blow.

14, why? We can consider it from two dimensions.

15, two-dimensional creatures (if any), they consider that the so-called three-dimensional space is absolutely different from our three-dimensional space-they will regard time as the third dimension because they don't feel the existence of this dimension.

16. Similarly, we have now entered this misunderstanding and counted time as the third dimension.

17. Maybe the four-dimensional creatures are sighing for us when they see us preaching this idea.

18, so time is one-dimensional? In my opinion, time should be one-dimensional, that is, adding a dimension to the dimension of multi-dimensional creatures to form a new N+ 1 dimensional space, which is higher than the three-dimensional space, will also help us solve some problems and deepen our understanding.

19, there is an updated idea that all dimensions are composed of time. Without time, there is no space, including the most basic one-dimensional space.

This should be well understood, because without time, the existence of space itself is meaningless, because space-time itself is an inseparable whole.

2 1. So, why can a time form different dimensional spaces? Here, we can regard time as a decomposable constant.

22. Time can be decomposed, which may be a bit difficult to understand.

23. However, as long as you figure it out, it's very simple.

24. To understand this truth, we must first understand two points.

25. The first is the inseparability of time and space. It is estimated that everyone understands that there is no space to talk about time, or that it is meaningless to talk about space without time.

26. The second point is the diversity of time, which may be a bit troublesome to understand.

27. In our daily life, we are all exposed to the synthesis of time, that is, an overall time system organically combined by various time points.

28. Maybe you think I'm picky, but I'm not.

29. Just think about it from another angle, a result may be formed by several different reasons.

30. As far as sports are concerned, what we observe is generally a combination of several different sports, that is, combined sports.

3 1, we can also think like this about time.

32. The time combination we see can be composed of the time of object movement, historical time (that is, empirical time) and other time.

33. As for the exercise time, we can think of it as the time to move up and down, the time to move left and right, and the time to move back and forth.

34. Of course, the division methods are diverse, which constitutes the diversity of time. As for how to divide it, it depends on different situations.

35. A part of time corresponds to a space.

In this incomplete space, time plays a decisive role.

37. We are three-dimensional creatures because there is only three-dimensional time in this dimensional space.

38. The incompleteness of time determines the incompleteness of space.

39. We can't know the space of other dimensions because we don't have time to move in that space.

40. The diversity of time determines the diversity of space.

4 1. At the same time, due to the different decomposition methods of time, our three-dimensional space is destined to be relative. It can be named one-dimensional, two-dimensional, or even arbitrary-it all depends on different decomposition methods.

42. Time is the key to determine the dimension, and it is also the key to determine the high-dimensional existence mode of low-dimensional objects.

43. Let's take a look at the scientific statement: low-dimensional reading is a defect in space, and there is no room for activity in a high-dimensional world.

At this point, there is a doubt, that is, how to find this defect.

45. We think that the low dimension does not have a certain spatial length because we can't determine what kind of length it has, that is, we can't observe what kind of length difference with the best equipment now.

46. So, what about the future? We can't authenticate now, maybe someone will prove that low-dimensional objects really belong to high dimensions in the future.

47. Therefore, there is no so-called spatial difference between low dimension and high dimension.

48. So, how do we distinguish between high and low dimensions? It's simple. It takes time.

49. To explain any latitude space by time, we can also think that the reason why low dimensions are lower than high dimensions is that they have time defects and cannot feel the existence of high dimensions in time.

50. Therefore, to understand low-dimensional or high-dimensional, we must first know the time range of their existence.

5 1, high dimension and low dimension can be converted. The reason is simple, just add or remove a time unit.

52. However, it is easier said than done. Our concept of time is so vague that it is more difficult to realize the transformation of time in space.

53. For four-dimensional space, most people may just think that there is a time axis on the axis of length, width and height, but most people still know little about it.

54. An expert once made an analogy: We assume that some plane people living in two-dimensional space have only one plane concept.

55. If you want to lock a two-dimensional person, you just need to draw a circle around him with a line, so that he can't walk out of this circle in two-dimensional space anyway.

56. Now we who live in three-dimensional space "interfere" with it.

57. We just need to take the two-dimensional person out of the circle from the third direction (that is, the direction in which the heel axis indicates the height) and put it back to other places in the two-dimensional space.

58. For us three-dimensional people, the situation of four-dimensional space is very similar to the above explanation.

59. If we can overcome the four-dimensional space, it is not impossible to cross the distance of three-dimensional space in an instant.

60. The four-dimensional space of the physical world has various multidimensional spaces in mathematics, but so far, the physical world we know is only four-dimensional, that is, three-dimensional space plus one-dimensional time.

6 1, the high-dimensional space mentioned in modern microphysics is another meaning, which only has mathematical significance.

62. Four-dimensional space-time is the lowest dimension that constitutes the real world. Our world happens to be four-dimensional. As for the high-dimensional real space, at least now we can't perceive it.

63. I mentioned an example in a post. When a ruler rotates in three-dimensional space (excluding time), its length remains the same, but when it rotates, all its coordinate values change and the coordinates are related.

64. Four-dimensional space-time means that time is the fourth coordinate, which is related to space coordinates, that is to say, space-time is a unified and inseparable whole, and they are a relationship of "changing one into two".

65. Four-dimensional space-time is not limited to this. According to the relationship between mass and energy, mass and energy are actually the same thing. Mass (or energy) is not independent, but related to the state of motion. For example, the greater the speed, the greater the mass.

66. In four-dimensional space-time, mass (or energy) is actually the fourth component of four-dimensional momentum, and momentum is a quantity that describes the motion of matter, so it is natural that mass is related to the state of motion.

67. In four-dimensional space-time, momentum and energy are unified, which are called four vectors of energy momentum.

68. In addition, the four-dimensional forms of four-dimensional velocity, four-dimensional acceleration, four-dimensional force and electromagnetic field equations are defined in four-dimensional space-time.

69. It is worth mentioning that the four-dimensional form of electromagnetic field equations is more perfect, which completely unifies electricity and magnetism, and electric field and magnetic field are described by a unified electromagnetic field tensor.

70. The physical laws of four-dimensional space-time are much more perfect than those of three-dimensional, which shows that our world is indeed four-dimensional.

7 1, it can be said that at least it is much more perfect than Newtonian mechanics.

72, at least from its perfection, we can't doubt it.

73. In the special theory of relativity, time and space constitute an inseparable whole-four-dimensional space-time, and energy and momentum also constitute an inseparable whole-four-dimensional momentum.

74. This shows that there may be a deep connection between some seemingly unrelated quantities in nature.

75. When we talk about general relativity in the future, we will also see that space-time is also deeply related to the four vectors of energy and momentum.