Seeing this question, I believe many friends have guessed it. That's right, this bottle is the magic bottle known as the "Klein Bottle".
The Klein bottle is a non-orientable topological space in topology, and there is no distinction between "inside" and "outside". Specifically, it looks like this.
A bottle has a hole in the bottom that lengthens the neck of the bottle and twists into the inside of the bottle, which then connects to the hole at the bottom. Unlike the bottles we usually use, this bottle has no "edges" and its surface does not end. Unlike the spherical surface, a fly can fly directly from the inside of the bottle to the outside without crossing the surface, because there is no distinction between inside and outside.
It is precisely because the Klein bottle has no "edge" that the surface will not end, and there is no distinction between inside and outside, because no matter how much water is poured into the bottle, it will not fit the bottle.
Thinking about it deeply, in fact, the name of "Klein Bottle" is not rigorous, because it is not a bottle, strictly speaking it is a curved surface, and now we call it "Klein Bottle" more of a habit.
Nowadays, we can see a lot of "Klein bottles" on the market, there is no doubt that these so-called "Klein bottles" are fake, just some models similar to "Klein bottles", which are essentially no different from the bottles we usually use, but they look a little strange in shape.
Why can't there be a Klein bottle in reality?
The reason for this is simple, because Klein bottles can only appear in the fourth dimension or higher. The bottleneck of the Klein bottle cannot be directly connected to the opening at the bottom of the bottle in three-dimensional space, and it needs to pass through the fourth dimension and then connect with the opening at the bottom of the bottle, so that this connection will not pass through the bottle body and will not intersect with the bottle body, which is the real Klein bottle.
This is the result of dimensional differences. Four-dimensional space is not easy for us to understand, but we can indirectly understand the difference between four-dimensional and three-dimensional by comparing three-dimensional and two-dimensional.
For example, we often tie knots in our daily life, and in the three-dimensional space we live in, after the rope is knotted, the rope itself will not intersect with itself. But if you put the knotted rope on a two-dimensional plane, the knotted place of the rope intersects with itself.
To put it bluntly, on a piece of paper, you have to draw a knotted rope, and the rope will definitely intersect with itself at the knotted place, the reason is very simple, if you still don't understand, you can take a piece of paper and try it. Or the simplest, project a knotted rope directly onto a flat surface to see if the knots of the plane intersect.
Don't underestimate the difference of just one dimension, the difference between four-dimensional space and three-dimensional space is absolutely subversive, which is also the so-called "dimensionality reduction attack".
At present, we do not know whether four-dimensional space-time really exists, and even strictly speaking, we cannot even accurately describe the definition of four-dimensional space. At present, the description of four-dimensional space is basically based on the abstract concepts of mathematics, speculation and assumption.
We don't know what the four-dimensional space is, but for now, for us living in the three-dimensional space, the four-dimensional space has no end, no inside and outside.
More often, we will understand the difference between 4D and 3D through the difference between 3D and 2D, that is, analogy.
Two-dimensional, in simple terms, is a plane without thickness. Such a plane looks simple, but in reality? But does such a plane really exist? It's hard to imagine how a plane without thickness could exist. Therefore, some people have put forward the idea that two-dimensional space does not actually exist, but is just a virtual concept imagined by human beings.
Let's assume that two-dimensional space really exists, so from the perspective of three-dimensional space, we can look at everything in two-dimensional space. If there are creatures in the two-dimensional space, then in the eyes of the two-dimensional creatures, human beings are their "gods", and we can easily handle the two-dimensional creatures and manipulate them as we like, the key is that it is difficult for the two-dimensional creatures to discover the existence of our three-dimensional humans anyway.
For example, if we draw a line on a two-dimensional plane, the two-dimensional creature will never be able to cross that line. You may subconsciously think like this: Doesn't a two-dimensional creature cross that line with a slight jump?
Obviously, you're measuring two-dimensional beings in terms of three-dimensional thinking. For two-dimensional creatures, they have no concept of height at all. In our eyes, the third dimension, which is height, is very simple, because we are looking at all this from the perspective of God.
In this way, it is difficult for human beings to imagine a fourth dimension of space, and it is taken for granted. If there is life in the four-dimensional space, in the eyes of the four-dimensional creatures, we humans will also seem very "stupid", and they will also think like this: why are human beings so stupid, the fourth dimensional dimension is obviously there, and even around you humans, why can't they be discovered?
This may be the subversive result of the difference in dimensions, and in the eyes of human beings, four-dimensional beings may also be "god-like" beings.
A seemingly simple, but also frightening fact is that maybe at this moment, there is one or even many four-dimensional beings around you, and everything about you is exposed under their noses, but you don't feel the existence of four-dimensional creatures at all!
Do you think that with the door closed, no one can enter? It's just that humans in three-dimensional space can't get in, but four-dimensional creatures can easily "travel" into your room, and all this happens quietly and unbeknownst to you.
In our daily life, we often experience such a thing, obviously we have just put an object, such as a TV remote control, on the coffee table, but when we look for it again, it is gone. At this time, you are also very puzzled, no matter how you look for it, you can't find it, just when you want to give up, you suddenly find that the remote control is actually on the dining table, which makes you also confused: how can the remote control appear on the dining table by itself? When did I put it there?
Perhaps, you didn't put the remote control on the dining table, it was really the remote control that "ran" to the dining table by itself, and the four-dimensional creature let the remote control get to the dining table.
Seeing this, isn't it a little creepy?
Of course, there is no need to be afraid, after all, we are not sure whether the four-dimensional space and four-dimensional creatures really exist, and even if the four-dimensional creatures do exist, our fear is completely unnecessary, because they are most likely the existence of "gods" in our eyes.
Suppose "God" wants to trap you, what's the use of your fear?
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