Early the next morning, after having breakfast, Qiao Yu leisurely strolled towards the library.
Passing by the sports field, Qiao Yu deliberately stopped to watch for a while.
A group of young junior students were undergoing military training, hmm... wait, if they started school at six, these youngsters undergoing military training seed to be his age, perhaps most of them even older.
Thinking of this, Qiao Yu felt a bit down.
The world really isn’t fair.
Clearly, they are all the sa age, yet these juniors can achieve relatively good results with minimal effort, just by getting a good GPA.
The rest of the ti, they can enjoy life: they can choose to have a passionate love affair; they can join various clubs, cultivating hobbies while expanding their social circle; they can even apply to beco exchange students...
No pressure from anyone, and barely anyone oversees them — a colorful university life, doing whatever they want!
But he’s different.
Every day when he opens his eyes, it’s research, research, and more research. If he’s a bit careless, his advisor will give him a good talking-to.
Not just that, he also has his career to worry about. Chief Engineer Yu calls him daily, like a morning greeting...
Even though Xi Yu Technology’s servers are already capable of computing, there are still so minor issues, but with Senior Brother Chen’s partner taking care of them, yet they still hassle him every day.
Fortunately, Qiao Yu knows who’s responsible for all this...
It’s all Frank’s fault!
If it weren’t for this irresponsible man, he might also be living like these juniors, enjoying the beautiful youth, not bearing life’s burdens on his young shoulders.
Thinking of this, Qiao Yu feels like adding so difficulty to Frank’s life, needing to find out which direction this guy’s newly chosen project is...
That shouldn’t be hard.
After all, he’s now a Fields dal winner, with rising fa in the international academic scene and many friends in the global mathematics community.
At that ti, just casually finding an excuse to express concern to Professor Frank should suffice to get the information.
He’s not at all worried about exposing the relationship with Frank. Simply giving birth without raising is unlikely to receive public support in any relatively civilized system.
He walked to the library, thoughts preoccupied with envisioning Frank in thirty-six different forms.
During the holiday, the library wasn’t too crowded, but not empty either.
Many postgraduates also needed to look up literature, especially those in the social humanities fields who spent most of their ti searching and reading various literature materials.
It’s inevitable.
Take, for example, Yanbei University’s well-known history departnt. Historians can’t exactly invent or create history.
All studies can only find traces in the vast historical records, and their value lies in uncovering and interpreting historical truths.
Without lab experints, naturally, they can only imrse themselves in the library.
As for Qiao Yu, his purpose in coming to the library was to look for so literature on quantum physics.
Since he had to do quantum computing simulations, studying quantum physics was an essential part.
Unlike the general research thod, today Qiao Yu aid for critical research.
For example, functional analysis and quantum Fourier Transform were included, as well as Hilbert Space.
After all, within the mathematical frawork of quantum physics, Hilbert Space is almost indispensable.
Whether it’s the representation of quantum states, operator calculations, or building asurent theories, Hilbert Space plays a vital role.
The reason is simple: in quantum chanics, the possible states are infinite, necessitating the inner product space to be infinite-dinsional.
It’s common knowledge in mathematics that if a parater approaches infinity, while all physical states must remain within a defined space, this ans the space requires completeness.
That is, the limit of any convergent sequence must still belong to the space. This characteristic corresponds to the completeness requirent of Hilbert Space in functional analysis.
However, from Qiao Yu’s perspective, Hilbert Space has too many drawbacks.
Firstly, the issue of physical interpretability: quantum states are vectors in Hilbert Space, but actual asurent can only obtain probability distributions, not directly retrieve vector information.
Moreover, the problem of wave function collapse is not mathematically described strictly under Hilbert Space. It requires reference to the Copenhagen interpretation and others.
Facing the issue of infinite dinsions, requiring infinite-dinsional Hilbert Space involves nurous mathematical challenges.
For instance, scattering states need to use Lie operators, and the vacuum fluctuation issue in quantum field theory requires distribution theory, which goes beyond traditional Hilbert Space.
Other issues like asurent and non-locality, the incompatibility of gravity and quantum chanics, and most importantly, the incompatibility of Hilbert Space with the random matrix tools he needs...
In short, Qiao Yu could hardly imagine how the math-physicists could tolerate such a poorly usable core mathematical tool for describing quantum systems.
Previously, without researching this area, he’d been indifferent about their tools. But now that he needed to start researching in this field, naturally, he had to upgrade the tools.
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