Volume 4: Spacetime Singularity Chapter 26: Thousands of Knots
"let's go."
Fang Cheng rolled up the paper and was about to put it in his pocket when he saw the ring on his wrist.
I don't know when it shrunk back to its original size, and I didn't even realize it.
This means that they are no longer in the original universe. Both of them are in the space where the earth is, but they are standing on another extra dimension.
"Ah, are you leaving now? What are you holding in your hand? Can you let me see it?"
"Nothing, just some manuscripts, written in a mess. If you don't have any knowledge in this area, it should be difficult to understand..."
"Well, since I can't understand it anyway, it doesn't matter if I take a look."
Fang Cheng handed the paper over and said nothing more.
His thoughts, which had just returned to calm, became a mess again. It was like opening another program before one was finished, and his brain had to deal with two problems forcibly and crashed.
"What does this mean?"
"It's just some... derivations about evolutionary problems, which use symmetry breaking... or more precisely, the commutation relation to explain how the order parameters of a complex system take on different values as the state of the system changes with the change of external parameters, and how these values affect the final phase of the system..."
"Ok, I know I don't understand, I'll give it back to you."
Fang Cheng took the manuscript in his hand with a bit of embarrassment. He obviously sensed that Ning Yu'an was a bit unhappy, so he didn't say anything else. If anger is level 10 and calmness is level 1, then her emotions should be around level 5 or 6 now.
This is judged through a series of details such as intonation, voice, length of sentences, angle of eyebrows, etc.
If someone needs a manual for Ning Yu'an, then Fang Cheng is the only person in the world who can be the author. He has been studying his childhood friend as a "black box" since high school, and has been summarizing her behavioral patterns.
These observations were a very natural and smooth process. He did not deliberately observe or summarize. His subconscious mind chose a pattern that would lead to the least conflicts based on the experience gained from a long period of getting along with each other.
"Let's not worry about that for now... let's go get rid of the monster now."
"How far do we have to go..."
"If we continue at this speed, we'll probably have another hour..."
"Ah - wasn't it quite fast when it came down from the sky just now?"
It was indeed very strange that they only walked for a few hours from an altitude of more than a thousand kilometers outside the atmosphere to the ground, and then returned to walking speed near the ground.
"I guess this is because the coordinate systems in different places in space are different. The space we are in is not the space of the earth, but another curved space that has a one-to-one correspondence with the curved space where the earth is. The different movement speeds at different locations may be because the mapping of this space is not uniform."
From the perspective of differential geometry, if the two spaces where the earth and the two people are located can be regarded as differential manifolds, then the speed when moving in them will form a tangent space. Therefore, the reflection of movement in one space in another space is actually a mapping between two sets of affine connections that the two manifolds themselves have., rather than a direct mapping between two manifolds. In other words, this is not a simple diffeomorphism between the two spaces, but a one-to-one correspondence between the sets of all vector fields that exist in the two spaces.
The beach in May has never been so deserted. At this moment, there is nothing in sight except a flock of seagulls frozen in mid-air.
"What do you think... now that we've come this far, do you want to go home and take a look?"
“…”
"I'd better not go."
in unison.
"Um...how many monsters are there in total? Should we take them out one by one?"
"There are probably about a dozen of them, but they are not far away. The farthest one only ran to Japan..."
"Huh? We're going to Japan on foot?"
"That shouldn't be necessary... We can just fly over there. I've discovered before that the farther you are from the surface, the faster you move. This may be the effect of the curvature of space caused by the mass of the earth..."
"Since you said so... then we can fly now, right?"
"I... I just want to go home and take a look. If you want to go directly there, you can..."
"It's okay. I want to take a walk, too. I haven't walked like this for a long time."
