Voyage of the Stars.

Chapter 941 Klein Bottle
The cosmological view of superstring theory holds that the four-dimensional universe expands at the expense of the six-dimensional universe, which shrinks to the Planck length. This explains why the universe we live in looks like a four-dimensional universe, and the other six dimensions are too small even though they are everywhere.

This description is consistent with human's current observations of the microscopic universe, so to a certain extent humans believe it is correct, at least when describing certain issues in the microscopic dimension.

Another thirty years passed.

Humankind has finally made a new breakthrough in the research of negative energy extraction devices.

During a study of Feynman diagrams, scientists accidentally discovered that it can be applied to calculations of some spatial structures and can eliminate all potential infinite terms, producing finite answers.

The humans who walked along this road suddenly discovered that the negative energy extraction device they had designed before had defects.

It is not enough to simply simulate the steady-state force field of a natural wormhole structure. Theoretically, negative energy can be extracted from the negative energy field through such a structure, but later humans finally discovered that energy reflux occurred during the operation of their own device.

The reason for this phenomenon is the excessive pressure at the upper end caused by the force field structure. It is as if there is a ball of high-pressure gas blocking the upper end of the channel. If you want to achieve the extraction of negative energy, you must solve this problem.

The explanation given by the mathematical model is that a "backflow chimney" is connected to the spatial structure similar to the Einstein-Rosen bridge formed by the operation of the device.

Of course, it is not a real chimney, but a spatial structure loop. All spatial structure solutions point to one direction - Klein bottle.

Humans must use powerful force field technology to further upgrade the device and add a special device that can generate a Klein bottle space structure.

Humans are not unfamiliar with Klein bottles. Anyone who has a little knowledge of space physics knows about this thing.

It is a non-directional, single-sided topological structure that is often seen in some interesting mathematical and geometric concepts, often together with the Möbius strip.

Similar to the Möbius strip having no front and back, an important characteristic of the Klein bottle is that it has no distinction between inside and outside, which means that if you walk on the surface of the Klein bottle, you will find that you can continue to move without returning to the starting point, and eventually return to your original position.

This property makes the Klein bottle important in topology because it challenges the traditional understanding of space and dimensions.

However, as a "closed" surface, the Klein bottle cannot be fully realized in three-dimensional space, because it requires four-dimensional space to intersect itself without entanglement, just like the Möbius strip must require three-dimensional space to be realized.

In fact, the common model of the Klein bottle that people usually see in images is made by connecting the two ends of a ring and twisting it appropriately in the process.

But current results show that humans must have the ability to make Klein bottles in order to realize the technology of extracting negative energy from the black hole negative energy field.

This means that humans must create a fourth dimension in the three-dimensional universe.

This has stumped human scientists. Although humans have gained initial exposure to space technology through the study of natural wormholes, it is limited to the distortion of three-dimensional space. After all, those are the basic spatial dimensions of the universe, and they are there.

The fourth spatial dimension is different. There is no natural fourth macroscopic spatial dimension in the universe.

Maybe it exists in some special cosmic environments, but humans have never seen it. Natural wormholes are not four-dimensional spaces, but the result of some special distortion of four-dimensional space-time consisting of three-dimensional space plus time dimension.

We live in a three-dimensional universe, and the three dimensions refer to space. We live in a four-dimensional universe, and the four dimensions refer to time and space. This point must be clearly distinguished.

Creating a Klein bottle structure is equivalent to forcing humans to squeeze out a four-dimensional channel. With this ability, humans are estimated to be able to master the four-dimensional space shield based on the Klein bottle structure, as well as the legendary dimensional attack, four-dimensional jump and the like.

It can be foreseen that the four-dimensional space is a complete set of technology tree directions, which is a macroscopic high-dimensional technology tree. With further development, it is possible that special technologies in the direction of four-dimensional space will emerge. Human beings are currently only at the fifth level of civilization, and their technological strength is still too weak.

Corresponding to it but in the opposite direction is the two-dimensional, low-dimensional technology tree, which is the route of dimensionality reduction to attack special technologies.

Although human civilization has this concept, it is just a concept. It is completely impossible to truly understand and research it. It is impossible to find a research direction. It is no exaggeration to say that we have no talent.

Not to mention the humans of the mere fifth-level civilization, even a powerful sixth-level civilization like the Awakener has not mastered the technology related to dimension ascending and descending.

Perhaps no Level 6 civilization in the entire Milky Way has mastered it. Although distinctive technology is strong, it also has extremely high requirements on the talents of civilization, because the so-called distinctive technology itself is a kind of advanced technology.

With no clue about the direction of macroscopic four-dimensional space, humans can only find another way and start from the microscopic level, because many scientists feel that they can more easily understand various phenomena in the microscopic dimension.

Some scientists insist on solving the problem through conventional technology, because they believe that since black holes are called gas stations for level 5 civilizations, it means that normal level 5 civilizations have the ability to create negative energy extraction equipment.

In fact, these scientists are right. It is true. The negative energy extraction technology of the Daya civilization is the product of the study of conventional three-dimensional space structure, but humans have not been able to find that method.

Fortunately, the implementation process of a technology does not need to be exactly the same, just like both electricity and oil can drive a car, there are many means to achieve the goal.

Humans cannot find conventional solutions, but there is always a way out.

After in-depth observations in the microscopic field, scientists discovered a Klein bottle-like spatial structure that exists in the microscopic dimension.

The key is that this kind of structure does not require humans to design and manufacture it. It itself is one of the countless microscopic space structures, just like there are countless types of Calabi-Yau microscopic six-dimensional space, which is also one of the countless strange structures.

In this way, humans only need to bring these microscopic structures together through specially designed super force fields. In theory, they can also produce the effect of Klein bottles.

The theory of everything supports this force field operation, and the set parameters are not difficult to obtain under third-person perspective observation.

This went very smoothly, and the negative energy extraction device produced according to this theoretical method was successful.

In this way, humans have realized the negative energy extraction technology of the black hole's negative energy field from another direction, which means that humans have mastered the ability of rapid replenishment.

In the process of extracting negative energy, human scientists were surprised to find that the mass of the black hole had become slightly smaller. Although the degree of reduction was very small, it was still keenly detected by human detectors.

(End of this chapter)