Volume 5: Eternity Chapter 6 Cohomology Field Theory
"You've read some popular science on string theory before, right? I think we read it together?"
"That's impossible. I was a freshman when I saw all this mess. I didn't even know you then."
He recalled the time when he was a sponge when he first entered the country's top university as a freshman. At that time, he really had an illusion that he could study these purely theoretical things in the future.
After I met more and more geniuses without quotation marks, this belief began to waver, but I was still unwilling to give up.
Later, after seeing the alien technology, he decided to give it up. Maybe cooking at home would be more suitable for him.
"Tachyons were actually created as a 'thought experiment' and are considered one of the hypothetical substances derived from the theory of relativity. Currently, no one has proposed how to detect them. After all, how something that travels faster than the speed of light interacts with ordinary matter is beyond our imagination."
"Wait a minute, I have to clean the pot. The water is about to overflow."
The dumplings in the pot began to slowly float to the surface. Fang Cheng picked up a large colander from the shelf beside him, reached into the pot and stirred it slowly. Steam gushed out from the water surface, and small water droplets began to hang on the kitchen walls.
"This spoon you have is really big. It looks like it's about the same size as the ones used in restaurants. I wonder if it's used to scoop out dumplings."
"And noodles. There are a lot of noodles that need to be cooked in water. Rice balls, noodles, wontons..."
It seems that there are only these three? Fang Cheng thought about it carefully. It seems that his big spoon has never scooped up anything other than these three kinds of food.
While he was thinking about what other pasta could be boiled besides these, the girl next to him seemed to be thinking about something as well.
"Chaos...it really seems to be like this..."
"But if you want to eat wontons, I don't have any at home. There's nowhere else to buy them during Chinese New Year, so you'd better eat some dumplings first."
The white foam floating in the pot gradually dissipated, and the floating dumplings slowly spun with the vortex, with green diced leeks faintly visible under the dumpling skin.
"Back to tachyons... If we study tachyons in a reference frame like we do with traditional particles, in other words, 'tachyons', the causal laws of special relativity cannot exist, because tachyons can really carry information back in time."
Fang Cheng felt that he should ask something as a response at this time, but Ai Bishui's speaking speed was much faster than daily chatting, and interrupting her now was probably not a high EQ approach.
Fang Cheng knew that these explanations were not so much for me as for her to sort out her own thoughts. All she could do now was to extract as much information as possible from the conversation during this period of time.
"So the explanation given by field theory is that tachyons do not really exist, but are just a manifestation of the instability of the system, an equivalent particle of a state."
"Probably something like phonons or magnetons..."
Fang Cheng didn’t know if it was true or not, but this was all he could think of.
"It is somewhat similar. But apart from these virtual particles, human theories cannot say that electrons and quarks must exist, right? The particles themselves are just a manifestation of the symmetry of nature."
"But since this particle is just an abstraction of the system state, then according to what you said, why can the slow particles that actually constitute our bodies transform into this kind of thing?"
"It's not a direct phase transition, it's a supersymmetric transformation..."
The dumpling pot was foaming again, and this time it could be taken out of the pot directly. Fang Cheng just remembered that he had not washed the dishes just now, so he quickly took one off the shelf and rinsed it vigorously.
"Actually, this is not... a supersymmetric transformation in the strict sense. In general, supersymmetry refers to the transformation between bosons and fermions. I just borrowed this term here... After all, I don't know what name to give it..."
It might as well be called AI transformation.
Fang Cheng actually realized that the surname "Ai" has a very high status in English, and whenever he publishes an article, it always mentions the hot topic of artificial intelligence.
"The mathematical meaning of supersymmetry is that in the case of commutation of the De Rham operator and the Hamiltonian, an eigenstate of the De Rham operator can be found as the ground state, and the eigenvalue obtained after the De Rham operator acts on this ground state is 0. If the symmetry is broken, such an eigenstate disappears."
At this point, Fang Cheng no longer understood anything.
"However, the de Rham operator is just a tool to express the topological properties of differential manifolds through the method of cohomology. The differential pattern it acts on does not necessarily have to be a mathematical object that expresses Bose and Fermi properties. In fact, any appropriate differential form can be used in this way to determine whether it has supersymmetric properties..."
"Um... the dumplings are ready, why don't we go to the living room and talk about it..."
"Great! Let me get the seasoning for you as well."
As she spoke, she poured all the mashed garlic in the mortar into a small plate.
