Dreamland Guide
Chapter 422: Klein bottle
When Aoki exited Su Huilan's dream, the unconscious savage on the ground just woke up.
In fact, their time in the dream was very short, at least in Alice's opinion, it was just a moment. She heard them say some inexplicable things about who entered into whose dreams, she didn't dare to ask more, just watched curiously.
Then, time seemed to stop. For about two or three seconds, the cave fell into silence, and even the space seemed to freeze. Alice saw Aoki and Su Huilan staring at each other, motionless, like two wax statues. She felt a chill, and quickly stood up and added some dead branches to the fire.
At this time, the savage lying on the ground woke up, his opened eyes were full of anger. He rolled over and grabbed the foot of Alice who was adding wood by the fire.
Alice was so frightened that she screamed, not knowing what to do, she heard a bang. The wild man who was about to get up suddenly flew out, hit the rock wall of the cave, and rolled down again, looking like a half-and-a-half I can't get up for a while.
She saw that the wax-like Aoki lifted one foot just now, and the pull plate on the foot was still swaying there.
Su Huilan came over and hugged Alice who was still in shock, kissed her on the cheek, and comforted: "It's okay, Alice, don't worry, it's safe here."
"I'm fine." Alice's lips were white and her body was trembling.
The moment the savage grabbed her ankle, the wild smell of body odor made her panic. She thought of Mrs. Larry, her heart felt as uncomfortable as being grabbed by someone, and then anger and hatred rose.
She stared at the savage who was lying on the ground groaning closely, and there was fire in her eyes.
Su Huilan felt the trembling of Alice's body, which was an anger from the bottom of her heart. She encouraged: "Go ahead."
Alice sullen her face, walked over and kicked the savage hard, cursing, "Beast! Beast!"
The savage on the ground got up, like a trapped beast, rushing towards Alice fiercely.
With another bang, the savage flew out and hit the wall and rolled down.
I don't know when, Aoki has stood in front of Alice. He lifted his right foot and swayed the pull plate on his foot.
This kick was heavier than the one just now, and the Savage struggled twice, vomiting blood all over the floor.
Alice grew courageous and walked over again, kicking it in the wild man's crotch. The savage had already been severely injured, but this time it was even more life-threatening. He grinned in pain, but he had no resistance.
Alice's face turned hideous, kicking and beating, and then rushed to scratch the savage's face with her nails desperately, yelling hysterically, but couldn't hear what it was.
The savage was scratched and bruised by her, with blood stains all over his face and chest. The anger and unwillingness in his eyes at the beginning gradually turned into fear.
Alice's state was close to madness, and even Aoki took a cold breath when she saw it. He winked at Su Huilan: "It's almost done, don't kill people."
Su Huilan went up and pulled Alice but didn't pull it away. Alice was still there frantically scratching and tearing, even biting with her mouth, as if she wanted to retaliate from the savage for all the suffering that Mrs. Larry had suffered.
Su Huilan had to hug her, and kept saying in her ear: "Alice! Alice! Stop, Alice! You can't kill him, he's still useful, we have to save Anderson!"
Alice stopped her hand when she heard Anderson's name, and sat on the ground for a long time. She turned around, glanced at Anderson, then threw herself into Su Huilan's arms and wept.
The savage was still alive, and Alice did not cause him any substantial harm. The real serious injury was the feet that Aoki gave him, and it seemed that there were a lot of broken bones.
When Alice's mood calmed down, Aoki and Su Huilan began to study how to hypnotize the savage.
The natural spiritual force field on the island still exists, but after spending a whole day here, Aoki is surprised to find that he has adapted to the existence of this energy field, just like people in Tibetan areas will get drunk when they leave the plateau, but as long as After living for a few days, you will get used to the oxygen-rich air on the plains.
Su Huilan obviously feels the same way. She said: "The reason why hypnosis is not effective for islanders is that they have adapted to the strong mental field on the island, and their consciousness is not sensitive to mental disturbances, just like the resistance of bacteria to drugs. Penicillin won’t work if you use too much penicillin. Although it’s still unsure whether the mental stand on the island is the same thing as our mental power, I think it’s essentially the same thing, at most ampicillin and amoxicillin. When they are tolerant to ampicillin, our use of amoxicillin will naturally be ineffective."
Although Aoki feels that Su Huilan’s metaphor is problematic, such as the principle of mental power and antibiotics are completely different, there is no comparability, but he understands Su Huilan's meaning, and admits that the current predicament is indeed the case. If you don’t solve this problem, relying on the two of them, plus the helpless Alice and the injured Anderson, even if the crow comes back, Petru and Sound will be fine. They may not be out of danger, let alone. Said that Mrs. Larry was rescued.
He felt the ubiquitous spiritual force field, thought for a while, and said:
"You said that this is a closed space surrounded by water?"
Su Huilan said: "It's not surrounded by water, but a... Klein bottle."
"Klein bottle?" Aoki remembered Professor Mei mentioning it.
"This was discovered by the famous mathematician Felix Klein in 1882." Su Huilan explained, "You can imagine a bottle-a vase, a wine bottle, etc., any bottle will do, as long as it has a bottom. , A normal bottle with a bottle mouth. First dig a hole at the bottom of the bottle, then extend the neck of the bottle, imagine that the bottleneck is as soft as a water pipe, bend it, and stuff the mouth of the bottle into the inside of the bottle from any position of the bottle body, then Connect to the hole at the bottom. This completes a Klein bottle.
Imagine this bottle carefully. Its mouth and bottom are connected, so it is closed. But starting from any point on the bottle body, you can reach any point on the inside and outside surfaces of the bottle body. In other words, it has no distinction between inside and outside. A closed bottle, but there is no distinction between inside and outside. Put a bug into this bottle, it can easily climb out without wall penetration
Of course, the Klein bottle is actually a curved surface that can be truly expressed in a four-dimensional space. I just described it from a three-dimensional perspective. Klein also uses a three-dimensional perspective to describe it, but what he really describes is a four-dimensional thing~www.wuxiaspot.com~ In a three-dimensional space, its bottleneck needs to pass through. The surface of the bottle body enters the inside of the bottle, that is, the position in the three-dimensional space occupied by the bottle itself is occupied by another part of itself.
But if there is another dimension, it does not need to pass through its own body, but connects the bottle mouth to the bottle bottom through the fourth dimension. But we need to express it in the three-dimensional space of our lives, so we have to click on it to make it look like we intersect ourselves. "
"You mean this island is a Klein bottle?" Aoki asked.
Su Huilan opened her arms and made an upward movement, saying:
"The sea outside the island looks like a flat surface, but it is actually a distorted space. You can understand it as being rolled up, like the body of a bottle. The island is the bottom of the bottle, and the lake on the island is the bottom of the bottle. The hole dug. The bottle formed by the ocean slowly closes into a bottleneck in the sky, passing through the fourth dimension and connected to the hole at the bottom of the bottle, which is the lake on the island. This forms a complete Klein bottle.
This is why Alice and the others will return to the lake when they go to sea. In the Klein bottle, the inside and the outside are connected, it is a non-directional plane, and the key is the hole at the bottom of the bottle, which is the lake on the island. , It is both the bottom and the mouth of the bottle. "
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