Chapter 868: The mystery behind the quantum world

As the controversy surrounding the quasi-Riemann conjecture finally came to an end, the editorial department of the "Mathematics Yearbook" sent Lu Zhou's post on "Super Elliptic Curve Analysis" to the mailbox in the shortest time. mail.
In the e-mail, the editorial department of the "Mathematics Yearbook" first indicated to him that the paper he had submitted previously had successfully passed the "peer review" link, and at the same time, the "Mathematics Yearbook" will be "quasi-standard" before the end of this month. The "Riemann conjecture" certificate is published in a special issue, which is used to publish his more than thirty pages of paper and the unique mathematical tool "super ellipse analysis" used in it.
Generally speaking, only when major mathematical propositions achieve breakthrough results, it is possible for the annual edition of Mathematics, one of the top four journals, to publish a special issue for it.
And the quasi-Riemann conjecture is undoubtedly worthy of this honor in analyzing the weight of mathematical theory.
At the same time, considering that the research on the Riemann conjecture may be inspired by the hyperelliptic curve analysis method, and if you do not master this mathematical tool, you may not be able to understand some of the processes in the dissertation. The ministry made the decision to put the two papers together in the same special issue.
Lu Zhou didn't pay special attention to the arrangement of the annual edition of Mathematics. No matter whether they planned to open the publication or merge them into a special issue, it would have no effect on him.
Perhaps the topic surrounding the quasi-Riemann conjecture may continue to swipe the screen until the beginning of next year, and then it will gradually disappear. It may not be until the end of next year that the mathematical community can slowly popularize the mathematical ideas he used to prove the quasi-Riemann conjecture.
But for Lu Zhou himself, this proposition has been a past tense since he proved it.
What's more, he had hung the preprint before Arxiv again, and now at least half of the mathematics scholars have seen the preprint he hanged on Arxiv, and what he expected was done.
What he needs to do is to further extend the results of the quasi-Riemann conjecture to the "true Riemann conjecture ..."
It is worth mentioning that, in the three days when the preprint was released, it seems that there have been continuous breakthroughs in the value of ε.
And this number has also changed from the original infinitesimal to a finite value.
According to the data on Arxiv and the statistics of the Mathematical Gossip Forum in Mathoverflow, the value of ε is refreshed every day, even every hour, and it is moving forward in the direction of 1/2.
So far, this number has been refreshed to one in 60 million.
Just when almost half of the mathematics community was frantically participating in this "mathematics competition" in search of a larger ε, a curious thing happened at the same time.
As we all know, the paper is time-sensitive.
Whoever successfully completes a research is the first to complete the research results. However, due to the academic rigor of a journal, the review cycle is usually long, so many people choose to hang a preprint.
However, hanging a preprint can't solve all problems once and for all. For example, if your forefoot has just made a research of ε = 0.01, others have already achieved ε = 0.1, then after his research results are released, your research will lose The value of the journal.
This is a good thing for the mathematics community, but it is undoubtedly a disaster for a doctoral who needs a thesis to graduate.
Therefore, after hanging the research results on Arxvi, almost everyone expects to publish their results at the first time, even at the expense of choosing a periodical with a lesser reputation and a shorter review cycle.
Unfortunately, because these papers cited some of the contents of the super elliptical geometric analysis method proposed by Lu Zhou, Lu Zhou's own paper was still at the review stage, and it was impossible to mark it.
what?
You said Luzhou hung on a preprint of Arxiv?
Don't even think about it, most regular journals and reviewers are very stubborn, and they refuse to cite pre-prints that have not been peer-reviewed in their papers. However, if the results on Arxiv are directly used without citations, they are suspected of being plagiarized.
Therefore, such a ridiculous scene happened.
Everyone knows that this conclusion is right, but no one can use it.
After completing the thesis, many people have no way to submit their papers. They have to hang their own papers in the form of preprints, and pay close attention to the development of the "Mathematics Annual" while trying to publish the papers in Lu Zhou. Submit your own paper the first time.
This is probably the first time that the speed of scientific journals has been left behind by the speed of scientific research ...
...
On the other side, I took away the old friends' Luzhou, got on the SUV parked at the gate of the airport, and returned to the villa of Zhongshan International.
Although the entire mathematical community now seems to have set off a gold rush, scholars in almost all related fields have invested in the exploration of the value of ε, but Lu Zhou is not particularly interested in the value of ε.
If ε cannot be directly advanced to 1/2, the final result of high probability will be the same as the original study of the twin prime conjecture. No matter how cleverly the superelliptic curve is selected on the complex plane, it will only be infinitely close to 1 / 2, and can't cross the last step.
During this time, in addition to occasionally paying attention to whether anyone on Arxiv has used his hyperelliptic curve analysis to make groundbreaking results, or to develop any new gameplay, he is relying on the resources of Jinling University. Manchuria collected important literature on Riemann's conjecture.
When research is stuck in the bottleneck, it is a taboo to build cars behind closed doors. It is only possible to wipe out sparks of thought if you are more exposed to some novel ideas or communicate with scholars working in the same field.
It is for this reason that the great gift that Professor Faltins sent him away seemed very precious ...
Back home, he went straight to the study and sat down. Lu Zhou couldn't wait to take out the note and spread it out on the table.
As Tao Zhexuan said, there are many interesting ideas recorded in this note.
Some of them have been tested by Professor Faltings himself and proved to be unworkable, and some are simply pure brain holes, or he feels a bit hopeful, but has no time to try.
If this note is in the hands of others, I am afraid it will not be easy to understand.
But for Lu Zhou, it was exactly what he needed most!
Looking through the notes line by line, Lu Zhou's eyes gradually became a little excited, but when he turned to a corner position, he suddenly froze slightly.
Different from those fragmented records, on this folded page, neat lines are printed. Unlike the first half, which is written in German.
Lu Zhou does not speak German, but fortunately there is Xiao Ai here.
With the help of Xiao Ai, he easily translated the content of this page.
Surprisingly, the content of this page is not a narrative of academic achievements, but rather an article ...
diary?
[In studying Professor Hilbert's dissertation, I found an interesting guess in his work. If the non-trivial zeros of the Riemann zeta function are written as ρ = 1/2 + it, then those t correspond to the eigenvalues ​​of a certain Hermitian operator. If this guess holds, then the Riemann operator should be a special random Hermitian matrix. 】
[During the afternoon tea time of the Max Planck Society, I had a serious discussion with Professor Kleezing of the Institute of Physics, and we were all taken aback by our own findings. 】
[Surprisingly, a purely mathematical problem like the Riemann's zeta function actually has a connection with quantum mechanics! Afterwards, I exchanged this issue with Edward Witten in the email, but unfortunately did not discuss anything useful. 】
[If I had elective excess submechanics before, just let me study physics now, I'm afraid it's too late ...]
The forefinger gently slipped over the trace of the folds, and gently put the note down on the boat, and a shock gradually began to appear on his face.
Not just Montgomery and Professor Dyson ...
Professor Fartings, who was far away in Germany, also noticed the projection of the Riemann's zeta function in quantum physics, and even communicated with his old friend Professor Klein and the great bull in the field of theoretical physics, Edward Witten. Over the question.
However, unfortunately, although they have inadvertently realized these inextricable connections, they have not been able to successfully dig out the secrets behind this.
What exactly does this mean?
If the non-trivial zero point of the ζ function corresponds to the energy level of a certain quantum mechanical system, the entire non-trivial zero point corresponds to the energy spectrum of the quantum mechanical system, and the Hamiltonian of this system is called the Riemann operator. If the Riemann conjecture holds ... what mysterious quantum mechanics would correspond?
Conversely, if we can find an Hermitian operator whose total eigenvalues ​​correspond to the non-trivial zeros of the Riemannζ function, or more popular points, whether to find such a "Riemann system" also means that we can Proof of Riemann's conjecture from a scientific perspective?
The expression of interest on Lu Zhou's face grew stronger and stronger.
Although he prefers to reveal the physical meaning behind Riemann's conjecture through purely mathematical research ~ EbookFREE.me ~, this does not prevent him from understanding everything in front of him and the iceberg revealed from the unknown mystery. One corner was shocked.
Two unrelated parallel lines, after spanning a century and a half, actually meet together.
In the distant 19th century, there is no quantum mechanics, but there is such a function that can be echoed to it ...
At this moment, the phone on the corner of the table suddenly rang a ringtone, interrupting Lu Zhou's thoughts.
Reaching out to pick up the phone, Lu Zhou pressed the connect button and put it to his ear.
Just when he was about to say impatiently "Hey", the person on the other side of the phone spoke first.
With a little embarrassment, the man on the phone coughed softly.
"... that, Academician Lu, do you remember me?"