Galvins of the Tiga world

Chapter 490 High-Dimensional Creation Klein Bottle
The endless void, the primordial universe.

When Lu Xuan regained consciousness again, he was no longer in the base.

No, Lu Xuan has even left his original time and space now, and has come to a time and space rift outside the universe.

Here, there is no concept of matter, energy and time, but only eternal darkness and loneliness.

The moment a normal person enters here, they will be reduced in dimension due to losing the concept of life, and become an existence infinitely close to "0".

People in this state will be unable to act, unable to think, and even "existence" itself is an impossible thing.

However, this void of space-time rift is not really empty of anything.

The birth and death of every universe will more or less leave some indestructible traces.

Or the incredible spectacle of the universe itself, or some kind of race creation that has reached a god-level civilization...

In short, in this endless void, only things that transcend the universe itself can continue to exist in the form of obliterated concepts.

For example, the red ball not far away has obviously lost any concept, but still makes people who see it realize that it is a red ball at the first sight.

no shape, no color...

But it can make everyone who sees this red ball realize that it is a red ball—a red ball that can fulfill all wishes.

In fact, only one chance is needed, and the red ball that Lu Xuan wished to "disappear" will reappear in an unknown parallel universe.

【I thought you were really omnipotent! 】

【It turns out that your abilities have limits...】

There is only one concept left, which still exists. This level of red ball is indeed worthy of the highest creation of the highest civilization.

It's a pity that "disappearing" to this extent is obviously not the real realization of Lu Xuan's wish.

Thinking like this, Lu Xuan immediately began to re-examine his current state.

In this endless void of silence, even the red ball, the highest creation of the top human civilization, has been wiped out of existence, how can I continue to think?
It's not just as simple as keeping thinking, Lu Xuan even maintains a complete physical form now.

Not dark form, not human form...

Lu Xuan's current appearance is that of a pure Gaelician. The clothes and equipment on his body have been disassembled, leaving only a wrist watch still on his wrist.

【Is that it?This thing still has this kind of function? 】

Lowering his head slightly, Lu Xuan stared at the Omnitrix on his wrist in surprise.

This was the first time that Lu Xuan discovered the Omnitrix's special ability beyond its normal functions, and it seemed to be an extremely powerful hidden ability.

Obviously when I made Omnitrix, I didn't use any special materials.

If you really want to say, the Ultra armor that Lu Xuan specially made for himself is much more demanding than the Omnitrix in terms of material selection and use.

As a result, the Ultra armor is now conceptually erased, but the Omnitrix remains the same.

This only shows that the special feature of Omnitrix lies not in the material, but in the concept of technology used in itself.

To put it simply, Omnitrix's design drawings themselves contain some kind of mysterious power.

This may sound unbelievable, but it is indeed true.

This is like a building plan that uses geometry and has an extremely stable structure.

As long as the materials used are not too poor, the building built according to this architectural design drawing can exceed the load-bearing limit given by the material to a certain extent.

Omnitrix uses a similar principle.

It's just that the level of Omnitrix is ​​far higher than simple geometry, because it uses a Klein bottle structure.

When mentioning the Klein bottle, we have to mention the Mobius ring first.

In everyone's common sense, normal paper has only two sides.

But if you twist a strip of paper 180 degrees and connect it end to end, you get a ring structure with only one side.

Suppose there is a bug that has no concept of height and will only crawl forward forever.

Then this little bug can crawl all over the front and back sides of the Mobius ring without going over the edge, and return to the original point of origin again.

From this, can it be concluded that in a two-dimensional plane world with no height, the Möbius ring is a closed surface that goes back and forth without edges.

For life living in a two-dimensional world, this is simply an incomprehensible thing.

Applying this concept to a higher-dimensional three-dimensional world is also theoretically valid.

This is the so-called "Klein bottle theory".

Cut a hole in the bottom of a bottle, then extend the neck of the bottle and twist it into the inside of the bottle to connect with the hole in the bottom.

Then from the perspective of a three-dimensional creature, this bottle is a bottle with no distinction between inside and outside.

A fly can fly directly from the inside of this sealed bottle to the outside of the bottle without passing through the surface of the bottle.

However, the fact is that when the neck of the bottle enters the bottle, some points on the neck and some points on the wall of the bottle must occupy the same position in three-dimensional space.

Two different points occupy the same position in the three-dimensional world. This phenomenon, which is even more incredible than passing through walls and overlapping, is impossible in the real world with physical rules.

However, if you add another dimension to it outside of the three-dimensional space, let the bottleneck and the bottle wall avoid the intersection position from another surface.

So is it possible to achieve a "bottle" that can only be seen in the eyes of four-dimensional creatures like the Mobius ring?

To put it more plainly.

For creatures in the two-dimensional world, the Möbius loop is a one-way surface that never ends.

For creatures in the three-dimensional world, the Klein bottle is a bottle that has no distinction between inside and outside, and can never be filled.

The only difference between the Mobius ring and the Klein bottle is that humans can clearly see both sides of the Mobius ring, but they can only imagine the Klein bottle with their own imagination and understanding of four-dimensional space. The point of intersection that occupies the same position in the three-dimensional world.

Then the problem arises, creatures in the two-dimensional world can actually perceive the existence of the three-dimensional world through the Mobius ring.

So can creatures in the three-dimensional world touch the four-dimensional space that is more advanced than themselves through the Klein bottle?
If it was before today, Lu Xuan must have felt that this was a dream.

Because it has nothing to do with imagination and technology level.

Unless one increases one's dimension and leaves this three-dimensional world, creatures in the lower-dimensional world will never be able to touch higher-dimensional creations.

This is like the characters in comics, it is never possible to jump out of comic books and touch things in the real world.

However, at this moment, Lu Xuan felt that he had once again underestimated the technological level of the Gailvins.

The Omnitrix in Lu Xuan's hand is a genuine "Klein bottle" that appeared in the three-dimensional world.

The most important thing is that this "Klein bottle" is not something left by some high-dimensional creature in the three-dimensional world, but a creation made by Lu Xuan bit by bit.

"Is this the real level of technology up to level [-]?"

With the technology of low-dimensional creatures, things in the high-dimensional world are created.

This kind of unbelievable thing just happened to Lu Xuan.

Before that, he didn't even notice this special phenomenon.

"A 'Klein bottle' that can never be filled, a real high-dimensional creation..."

——Monthly ticket/recommendation ticket——

(End of this chapter)