Institute of Physics.
In the director's office, Lu Zhou and Luo Wenxuan stood side by side in front of a blackboard. They looked at the lines of equations on the blackboard and didn't speak for ten minutes.
Another five minutes went by.
Luo Wenxuan suddenly broke the silence.
"Can I get some wine?"
"Wine?"
"It's my habit. Whenever I encounter a problem, I'll get something to drink."
"Then take a nap on someone's arm? So that we can put the troublesome matters aside? "
"Don't say that … Am I that kind of person?" Luo Wenxuan coughed and rubbed his nose. He stared at the blackboard and said, "Okay then, let's put the wine aside. I just remembered something."
Lu Zhou: "What did you think of?"
"A thesis in the Annals-Of-Mathematics, 1974 edition … I don't remember how many pages there are, but Witten told me to read it," Luo Wenxuan said. He recalled for a while and said, "It mentioned a possible method."
[Annals-Of-Mathematics] was the annual mathematics journal. As one of the top four journals, the articles in it were very authoritative.
Lu Zhou handed him the chalk and gestured for him to start.
Luo Wenxuan didn't decline. He stood in front of the blackboard and thought for a bit. He gently tossed the chalk in his hand and walked up to write.
[The simplest case of energy density with standard order is λφ ^ 4 + φ??, Where 0 0, and a constant B depending on its operator A (A ∈ B). For any 0 ← λ ← λ 0, there exists (AΩ e ^ (-tH) · AΩ) ← Be ^ (-tC), and for 1 ← t … labeled as formula (1)."
Luo Wenxuan spent around five minutes writing the content on the blackboard. He then looked back at Lu Zhou.
"That's basically it, I'm not sure if I missed anything. I'll go back and read the thesis … Uh, why are you looking at me like that?"
"Nothing." Lu Zhou shook his head and said, "I'm just surprised."
Luo Wenxuan coughed and reminded, "I graduated from Witten's school after all."
By by Lu Zhou, "…"
Luo Wenxuan: "…"
Jesus, I don't even have a chance to show off.
For the time being, Lu Zhou didn't care about these trivial things. He stared at the calculations on the blackboard for around a minute.
On the whole, there is something ingenious about this line of proof.
Considering that the single-particle state was the eigenstate of the "mass" operator on the Hilbert space, the corresponding eigenvalue was the mass of the particle. According to the special theory of relativity, with the speed of light as 1, the mass M and the energy H and momentum P satisfy M?? = H?? - P??。
In this special case, it allowed for a more detailed study of the spectrum of M. At the same time, the field mass m was an isolated eigenvalue in the spectrum of M. The corresponding eigenstate was the observed single-particle state, and these states were an irreducible representation transformation of the Poincare group.
Coupled with the fact that estimator (1) proved that for any ε > 0 and sufficiently small λ, there was a mass gap Δ satisfying Δ > (√ 2-ε), the whole problem was clear … At least in Lu Zhou's opinion.
After thinking for a bit, Lu Zhou gave his own evaluation.
"In theory, this proof should be feasible, but there are still a few problems that need to be solved. For example, the existence of the particle … or the mass M, you haven't given a proof here. Also, the asymptotic expansion of λ in m = √ (2 + O (λ ^ 3)) is not given here either. "
When Luo Wenxuan heard this, he was shocked. He looked at Lu Zhou in disbelief.
"You're done already?"
When Lu Zhou saw the look of surprise on his face, he paused for a second and asked.
"Is it difficult?"
Luo Wenxuan said, "It's … not that difficult."
In order to understand this thing, it took him four or five days at most …
Yeah, compared to the other "homework" that Witten gave him, this was relatively easy.
After comforting himself in his heart, Luo Wenxuan stopped interrupting and returned to the original topic. He coughed lightly and continued.
"The asymptotic expansion of λ that you talked about is given in the document I mentioned. By constructing a progressive projection linear operator E2 on H, the state in H is projected onto a state with a mass less than two particles. It can be proved that there is an operator E2 whose value domain is a vector space in the shape of ω and e ^ (-sH) ω. As for what you said about proving the existence of the particle with mass m … "
At this point, he paused and smiled embarrassedly.
"If I could prove it, I would have won the Fields Prize a long time ago."
Lu Zhou: "…"
Lu Zhou's words made so much sense that he didn't know what to say.
Even though this was a quantum chromodynamics problem, it involved a complicated mathematical proposition.
If one could prove the existence of this particle mathematically, even if they didn't win the Fields Prize, they would at least win the Heineman Mathematical Physics Prize. Even though the Heineman Prize wasn't as prestigious as the Nobel Prize, and the prize money was only five thousand US dollars, it was still quite prestigious in the mathematical physics community. Many big names in theoretical physics had won this prize.
For example, Weinberg, who created the unified theory of weak electricity, won the prize in 1977. (Two years later, he won the Nobel Prize.)
If someone could find the value of m, or even observe the particle mass M …
A Nobel Prize was definitely on the line.
While the two were silent, a research assistant from the Institute of Physics walked in.
The moment he saw the content on the blackboard, he was stunned for a moment. He subconsciously doubted the ten years of his life that he had spent studying physics.
Who am I?
Where am I?
What is written on this blackboard?
It took him a while to come back to his senses. He ignored the words on the blackboard and gently knocked on the open door.
"Professor Lu, someone is looking for you outside the institute."
Lu Zhou, who was staring at the blackboard, asked without turning his head, "Who?"
The researcher continued, "He claimed to be the boss of Zhongshan New Materials. I think his name is Liu Wanshan."
Genius One Second Remember Site Address:. Mobile version: M.
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