Voyage of the Stars
Chapter 585 Klein Bottle
I have to say that this view is very reasonable. In the absence of direct experimental evidence, people are very willing to believe that the real universe is like this, and that the real two-dimensional space and four-dimensional space are like this.
In fact, this concept of space dimensions was not just known to people at this time. It had already appeared in the age of the earth. It was just that when experiments began, scientists were focused on detecting the entire space, and there was no People mention this.
Of course, there is no actual data for this concept of dimensional space, but it has a rigorous mathematical deduction process. Although mathematicians do not need to consider the feelings of physicists, mathematically rigorous things are not necessarily ironclad in the real physical world, but they always make people feel convincing.
Therefore, after this concept of dimensional space was pulled out of history again, it was immediately recognized by many scientists. On the scientific research ship at that time, there were many physicists with MAX mathematical ability who directly discussed it from a mathematical perspective. Check its correctness.
In the absence of any progress in the search for the existence of hyperspace, physicists have to seriously consider the possibility of this concept of spatial dimensions.
Therefore, under this background, many scientists began to change their minds and devote their energy to the exploration of three-dimensional distorted space. What the three-dimensional twisted space will look like will naturally become something that the next several scientific research and inspection teams will need to consider.
Speaking of which, humankind's understanding of space distortion is quite good. After discussing this issue, scientists easily thought of a space structure, namely a Klein bottle.
Klein bottle, in the field of mathematics, refers to an unoriented plane, in topology, it is an unoriented topological space.
Its structure can usually be described as a bottle with a hole in the bottom, extending the neck of the bottle and twisting into the bottle, and then connecting with the hole in the bottom.
Scientists who insist that this space is not hyperspace have always had the idea that all or part of this space is composed of Klein bottles or similar twisted space structures, which are either combined or arranged in Together, they interweave together to form the boundary of this entire space.
The unknowing change of direction of the experimental spacecraft can be explained by the fact that it is naturally caused by the process of advancing along the Klein bottle distorted space. Obviously, the experimental spacecraft itself must not be aware of the so-called change in the direction of space, because for it, The direction has indeed not changed.
Based on the theoretical basis of Klein bottles, scientists have reason to believe that the phenomenon of the experimental spacecraft changing direction for no reason is one of the examples of space distortion.
But there is one thing that confuses scientists, because in their minds, the Klein bottle space structure does have a reasonable explanation for its existence, but if this structure wants to exist, it must be possible in four-dimensional space, because three-dimensional space There is no situation where the bottleneck extends into the inside of the bottle.
Just like a Möbius strip cannot exist in a space with only two dimensions, it must have a process of flipping to the third spatial dimension. Of course, it is still a two-dimensional structure.
After all, human beings are creatures that live in three-dimensional space and four-dimensional time and space. Using the analogy of a Möbius strip is indeed easier than directly using the brain to imagine the inverted structure of a Klein bottle.
Imagine a strip of paper. If you want to connect the top ends of it according to the structure of a Möbius strip, it will inevitably have regional flipping and twisting. It is through this flipping and twisting that this piece of paper is Paper will become a tape with only one side.
The so-called twisting and flipping is actually the paper passing through the third empty dimension. Imagine you turn a piece of paper over and put it end to end, then flatten the paper. At this time, you will find that part of the paper overlaps, and the thickness of the overlapping part of the paper increases. There is no concept of thickness in two-dimensional space, let alone an increase in thickness.
Therefore, the Möbius strip cannot be expressed in two-dimensional space. It can only be expressed in three-dimensional space. Similarly, the Klein bottle is a curved surface that can be truly expressed in four-dimensional space.
For this reason, scientists who insist that this space is a three-dimensional space distortion or exists in the form of a Klein bottle space are confused, because as long as they demonstrate that the structure of a Klein bottle space can be expressed in this space, it is equivalent to It proves that there is a four-dimensional space in this space.
In other words, now the scientists who insist on the hyperspace view have won. Of course, it doesn’t matter who wins or loses. What’s important is that hyperspace will cause all three-dimensional things to lose the physical laws that support them. This is very contradictory.
In order to resolve the inevitable contradiction, some scientists even proposed that this space is a form of Möbius strip space structure. However, this statement faces the same contradiction as the Klein bottle, that is, three-dimensional things enter two-dimensional Space will also be hit by dimensionality reduction, but nothing will happen to the experimental spacecraft.
Moreover, how could a three-dimensional spacecraft go to two dimensions, flip itself over, and then return to three-dimensional space again?
Therefore, for scientific research teams, whether it is a Klein bottle structure or a Möbius strip structure, there are contradictions that have to be faced.
Faced with various contradictions, some scientists said this: Is it possible that the awakener uses some technological means unknown to humans to rivet the structure of the Klein bottle toward the fourth spatial dimension, or the riveting point of the four-dimensional space? Hidden away from humans.
Of course it is possible, just like a creature in the two-dimensional world swimming in a Möbius strip structure, but he has no way of knowing why humans can create such a structure in his world.
But when faced with the unknown, we use the greater unknown to explain it. Sometimes, isn’t it another kind of contradiction? Of course, it would make sense if this were the case, that is: after a creature living on a Möbius strip walked around the Möbius strip, he completed the left-right flip, but he would never notice it. He was already in the two-dimensional space, heading towards the third dimension that did not exist for him.
The reason why he did not die due to the expansion of space is because it flipped to the third space dimension along with the two-dimensional space. The two-dimensional space did not change its physical laws due to the flip to the three-dimensional space. The two-dimensional space remained the same. It is a two-dimensional space, and he is bound to the space he is in.
The same goes for the human spacecraft moving on the wall of the Klein bottle structure that has no inside and outside. This can be explained as a problem with the Klein bottle structure of this space. However, there is also a loophole in this view, which is that the awakener must be guaranteed to have such powerful means.
Of course, humans cannot guarantee that the awakened person has or does not have this ability.
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