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Super God-Level Top Student-Chapter 1094 - 428: Is the Sky About to Change?_2
Chapter 1094: Chapter 428: Is the Sky About to Change?_2
For example, how to use the Schrödinger equation to mathematically describe the tunneling effect, and then introduce the principle of interweaving to further analyze. I believe you would be very interested. Oh, by the way, I forgot to tell you, the new high-energy particle accelerator can be maintained once a month for long-term use. So, you get it." novelbuddy-cσ๓
After speaking, Edward Witten nodded slightly at Critiel Matich and then left with his tray.
The mood was quite pleasant.
Although it sounds a bit dark, he really enjoyed watching Critiel Matich look conflicted.
...
"The compensation factor is a mathematical adjustment term used to correct or compensate for the difference in integral results caused by metric changes. They are usually scalars or tensors related to the metric, ensuring that the integral has the same physical value under different metrics, making it an important tool to ensure the consistency of Q-theory under various metrics.
By adjusting parameters such as volume forms and field functions, one can achieve the same physical results under different metrics, enhancing the universality and reliability of the theory. However, these adjustments require strict mathematical derivation and experimental verification to ensure their correctness in various physical scenarios.
This is also one of the future developmental directions for Q-theory in solving the grand unification problem. But honestly, validation work for compensation factors is currently difficult to advance, even the simulated verification exceeds the computational power threshold that the world can provide today."
In the small canteen of the cafeteria, Qiao Ze was also explaining this problem to the people at the table.
During the Q&A session of Edward Witten’s lecture today, the question raised by Critiel Matich sparked widespread discussion.
At lunchtime, when Qiao Ze invited Roth Dugan and Peter Schultz to eat together, the two were already discussing this issue. Although they didn’t discuss too much with Qiao Ze about his views on Q-theory, it was evident that Roth Dugan had seriously read Qiao Ze’s papers.
While eating, he just quietly listened to the discussion between the two, and after finishing his meal, he gave a summary.
Q-theory is inherently a very abstract theoretical system. In fact, any theory involving unification problems is very abstract.
Not to mention the grand unification in physics, even the Langlands Program, which connects objects in number theory with those in representation theory to find a unified theory of the local-global principle, is abstract to an unimaginable degree.
So, roughly speaking, these theoretical aspects are truly understandable only to those who get them; for those who don’t, explanations are unlikely to help much.
It’s like Su Mucheng sitting next to Qiao Ze, who felt like she was listening to an alien script throughout today.
During today’s lecture, Edward Witten explained some of Q-theory’s key theorems, such as the interweaving invariance theorem.
Let M be a three-dimensional compact orientable manifold, and ϕ be a smooth field defined on M, then there exists a unique mathematical interweaving function I(ϕ), such that for any smooth homeomorphism f: M→M, it holds: I(ϕ)=I(f∗ϕ), where f∗ϕ denotes the pullback of the field ϕ under the homeomorphism f.
Just reading the proposition was enough to make Su Mucheng confused.
How long was it since she got pregnant? This world had become something she completely didn’t understand.
Never mind the proof process, there were already so many concepts and terms in this theorem that she had never heard of.
But this theorem was still the most basic one. Edward Witten went on to briefly explain more advanced interweaving theorems concerning three-dimensional manifolds in Q-theory, Q-regularization theorem, Q-transformation invariance theorem, and the metric compatibility theorem that several people were discussing...
After the lecture, Su could clearly feel that all these topics discussed by the adults had far exceeded her mental capacity, and she genuinely began to realize that mathematics might not be suitable for her after all.
Even if she starts diligently learning the prerequisite knowledge of Qiao’s Algebraic Geometry now, it would take at least three years before she could begin to study it. And to fully grasp Qiao’s Algebraic Geometry, it would take her at least until the age of thirty to barely be qualified to start understanding the series of interweaving theorems...
By the time she could touch upon Q-theory, perhaps Qiao would have already completed it, solving the grand unification problem.
By then, the world might become something entirely unimaginable to her right now?
...
"Chengzi, are you feeling unwell?"
Qiao Ze’s voice brought Su Mucheng back from her wandering thoughts.
Su blankly turned her head to look at Qiao Ze, and said, "No?"
"We’re planning to head back." Qiao Ze briefly explained.
Only then did Su Mucheng realize that the two great mathematicians opposite her were looking at her with suspicion.
"Sorry, I zoned out just now," Su Mucheng said, blushing.
...
Yes, just now Qiao Ze had briefly explained the issue of the compensation factor, which dampened Peter Schultz and Roth Dugan’s interest in continuing the conversation.
After a moment of silence, the two were no longer in the mood and decided to disperse.
Especially Roth Dugan, who was indeed preoccupied.
Although he really didn’t want to be involved in anything outside academic matters, people inevitably get caught up in things against their will.
On the plane to Huaxia, he had thought about how to approach this question many times and eventually decided to just be direct. Surprisingly, Qiao Ze was quite candid, but the answer he gave felt like falling into an abyss.
People who haven’t experienced the golden era of the United States probably can’t quite grasp Roth Dugan’s feelings.
Since the 1970s, whether in technology, military, or any other field, his homeland was undoubtedly the number one on this planet.
From computers, the internet, and graphics cards to mathematics, nuclear physics, aerospace, and satellite launches, manned moon landings, GPS, information situation awareness... Truly, twenty years ago, Roth Dugan even firmly believed that America must have captured some aliens secretly to have achieved such glorious feats.
Let’s put it this way: you really needed a higher education to realize how grand a project sending an aircraft to the moon was in the 1970s.
Back then, computing technology was just taking off; the first computer he used had an Intel 8080 processor with a clock speed of only 2 MHz and 48KB of memory. There wasn’t even a graphical user interface, only command-line operations. Multitasking and user-friendliness were all pipe dreams.
Yet even so, America was still that unique existence in the world.
Now, with artificial intelligence, supercomputers, and skies filled with satellites, everything has undergone earth-shattering changes. It was one thing not to replicate the feat of landing on the moon again, and those could be attributed to the broken lineage of engineering development.
But not even knowing when ships in the ocean were being filmed in detail? Such an absurdity led Roth Dugan to initially suspect that those videos were AI-generated when he first saw them.
Yet the truth revealed that the latitudes and longitudes shown in the videos were actual.
Today’s answer from Qiao Ze was that those were merely by-products of marine research and exploration equipment gathering various data, and were never targeted at them.
Honestly, Roth Dugan might have preferred Qiao Ze to say it was a lie. It would be better if those devices were specifically designed for their ships, allowing them to avoid the widespread radar and various detection devices.
But according to Roth Dugan’s understanding of Qiao Ze, this proud young man would likely not lie about such things.
In other words, God knows how many such "exploration" devices, capable of silently approaching various large ships, have been deployed under the sea. And who knows what else these exploration devices can do besides research.
For a land-based nation, this might not be a colossal issue. But for a country whose entire foundations rest on maritime power, it’s enough to keep countless people awake at night. They were even desperate enough to approach him for answers.
It’s just that now Huaxia hasn’t yet publicized this on a large scale, so when he saw those videos, he was repeatedly asked not to mention them externally.
It’s possible that even those who were on the ships at the time are still unaware of these videos’ existence. However, there’s an old saying in Huaxia that goes, can paper really wrap fire? Especially since, judging by Qiao Ze’s words, he seemed to realize that those videos don’t seem to be treated as classified by Huaxia.
Once those videos spread, who knows what might happen; this world is ultimately going to change."