Translator: Henyee Translations Editor: Henyee Translations
Massachusetts, America.
A plane landed at the Boston International Airport.
Frank Wilczek had just flown back to Boston from Switzerland. His student came to pick him up.
The old professor was sitting in the front seat. He placed his laptop on his lap and connected to the wireless network. He planned on doing some work with this free time. Suddenly, he received an email from across the Pacific.
When he saw the sender’s name, he clicked on the email.
The PhD student in the driver’s seat asked casually, “Professor, how is the situation at CERN?”
Frank looked at the email and replied casually, “At the moment, the situation is still optimistic. The confidence level of three sigma can be confirmed as a sign. CERN staff are checking the instruments and preparing a press conference. I have to complete the theoretical thesis. Next month, I’ll bring you to Geneva… What?”
The PhD student saw that the professor stopped talking, so he asked, “What’s up?”
“Nothing…” murmured Frank as he read the email and frowned. He suddenly shook his head and said, “It’s an interesting point, but I disagree.”
The young man from China wrote the email.
[Dear Professor Frank, I have some questions regarding your supplementary theory of supersymmetry. According to the Deligne’s theorem on tensor categories, it can be known that the category satisfying certain conditions must be the representation category of a supersymmetric group G so that we can say that supersymmetry is a generalization of field theory. But, in your supplementary theory, it is assumed that there is an extra dimension beyond the symmetry field representation to explain the reason why the supersymmetric particle is too large. Doesn’t this contradict the Deligne tensor theorem?”
Academic exchanges were different than work emails. There was no need for additional politeness, so Lu Zhou pointed it out as is.
He believed that Frank would not be so stingy.
However, the old man’s reply was also ruthless…
From the other side of the Pacific, after Lu Zhou edited the email and sent it to Frank Wilczek, he leaned back on his chair and stretched.
He was about to go eat when an email popped up in his mailbox.
Lu Zhou opened the email and was amazed.
F*ck, he’s already awake?
Switzerland is 6 hours behind, so that means it’s only 5 am there!
Lu Zhou did not know that Frank had already returned to MIT.
The reply in the email was simple, and it was mainly to answer his questions.
[Lu, I received your email. Also, regarding your doubts, I admire your knowledge of mathematical physics. But my suggestion is that you should go and study Wigner’s theorem in quantum mechanics. Then you would understand the theory of supersymmetry supplement, and won’t have any problems with the assumptions that I made.]
Lu Zhou certainly did not know about Wigner’s theorem. This was the cornerstone of quantum mechanics.
This theorem described the principle of symmetry in physics systems, such as how rotation, translation, or CPT changed the state of the Hilbert space.
According to this theorem, elementary particles could basically be represented by the irreducible Lie group, and a tensor product could be made for these representations. Furthermore, this operation could correspond to the physical particle bound state.
Isn’t that amazing?
Mathematics and physics were linked by a theorem.
This nature provided a theoretical cornerstone for the later application of the Deligne’s theorem on tensor categories in physics.
Lu Zhou knew Professor Frank’s intentions. He did not have a problem with the supersymmetric complement theory. It was just lacking in mathematical beauty.
For example, as Lu Zhou said, it was impossible to explain the rationality of this extra dimension by using the Deligne’s theorem in tensor categories.
Lu Zhou thought for a bit then typed his thoughts on the keyboard.
[But don’t you think that we can use a more mathematical sophisticated model to describes the peaks in the 750 GeV energy zone? There is absolutely no need to introduce an extra dimension outside of a fully symmetric field. What I mean is that maybe this is a particle that we don’t understand? Dark matter particle?]
Although in order to convince this old man, Lu Zhou said that the 750 GeV signal may have come from supersymmetric particles, he wasn’t actually obsessed with supersymmetric particles himself.
There could be many things behind that characteristic peak. The universe isn’t built on a single set of theories.
Lu Zhou felt like it was most likely dark matter particles.
After all, this signal is weak enough that without a large number of collisions, this clue wouldn’t have been discovered. Dark matter is difficult to observe as it hardly interacts with other elementary particles, including photos.
Lu Zhou pressed the reply button and didn’t bother to go eat. He patiently waited in his chair.
If the old man was looking at his email right now, he would soon get a reply.
As expected, soon after, an email popped up.
[What you said is possible, but I don’t think it is likely. I’m certain that CERN’s equipment isn’t advanced enough to detect dark matter. If the signals observed on ATLAS and CMS detectors are dark matter, I’m sure that the characteristic peaks of the two would not be so consistent. If you have any questions, you can consult Mr. Lynn Evans. And for my theory, I can also add a supplementary explanation.
Lu Zhou read the email from top to bottom but he did not know how to reply. Suddenly, two other emails popped up.
[If there’s an extra dimension of compaction, then each field in the high-dimensional space corresponds to a normal field in the four-dimensional space, plus an infinite number of fields that are inversely proportional to the length of the compaction. And the source of this field can be used as the Fourier series of the original zero film field in the compaction dimension!]
[Supersymmetric particles should also exist in this field. This relationship couples the supersymmetric particles with fermions. I think this makes sense, in theory. So according to this theory, we should be able to find supersymmetric particles under the energy mark below TeV, so you should have more confidence in LHC.]
F*ck, this guy types pretty fast.
While the first email made him doubt CERN’s equipment, the second email gave him confidence in the collider.
What the hell is this?
Lu Zhou stared at the three emails for a long time while his hands remained static on the keyboard.
The old gentleman was confident in his own theory.
Lu Zhou was speechless and he did not know what to reply.