Great Country Academician

Chapter 477 Crushing From the Dimension

It's impossible to wait a month, and of course, it doesn't take that long.

After the seminar, less than a week later, Xu Chuan uploaded the formal paper to the arxiv preprint website.

In fact, he had already completed the last step on the third day.

After all, he had already advanced very far on the path of strongly correlated electronic systems before this.

The reason why it took nearly a week was mainly to check for omissions and fill in the gaps, and to organize related manuscripts.

He didn't expect that he could find the key way out so quickly and successfully connect all the previous research.

Therefore, some of the previous research materials have not yet been sorted out because I have to attend the seminar.

In the study room, Xu Chuan breathed a sigh of relief as he looked at the uploaded paper.

Dimensions are used to study strong electron correlation systems, and different strong electron correlation systems are divided according to different dimensional spaces.

This path was far more perfect than any direction he had thought of before.

But correspondingly, it is also larger.

Even he cannot perfect and supplement all dimensional systems in a short period of time. What he is currently doing is a holistic framework.

The follow-up will require other physicists to supplement and improve it over a long period of time.

But despite this, it is still a great job.

He finally found a more universal unified theoretical framework to unify the charge, spin and phase in the strongly correlated electron correlation system to form complex collective patterns under different atomic nucleus configurations.

At least mathematically speaking, it is.

As for the actual situation, whether this framework can be applied to most strongly correlated systems still needs to be verified through experiments.

The hard problems in physics are different from those in mathematics.

The proof of a mathematical conjecture requires a complete, correct, logical and self-consistent process, and also needs to pass peer review.

The solution to physical problems, especially condensed matter physics that is more experimental, will take a long time for the entire physics community to accept.

Moreover, it requires verification through numerous experiments.

Perhaps in this process, it will be found to have flaws, problems, or even be overturned. It is possible.

After all, even the Standard Model, which was proposed in the 1960s, has experienced countless ups and downs in the past few decades, and has even been almost completely overturned on several occasions.

Now, after decades of continuous patches in the physics community, it has become one of the cornerstones of physics.

Xu Chuan believes that in the fields of condensed matter physics and quantum physics, he has developed a unified framework of strong correlations that can survive the storm.

After uploading the paper to the arxiv website, Xu Chuan stretched, got up from the chair, went into the bathroom and took a good hot shower.

This is probably his last achievement this year.

Of course, this year is divided according to the lunar calendar.

It is already the middle of the twelfth lunar month, and in about ten days, the New Year will be almost here.

It's time for him to go back.

As for the seminar on strongly correlated electronic systems, let’s put it until later in the year.

The New Year is important.

And after all, it will take some time for the physics community to understand his paper and framework.

Mathematical theory is used to establish the framework for the strongly correlated electronic system, although no cutting-edge mathematical knowledge is used, such as Hodge theory, NS equations and the like, which have only been proven in recent years.

However, the mathematical methods in the framework are still somewhat complicated for many physicists.

Compared with mathematics, which is basically purely based on the brain, with at most supercomputing as a tool, physics relies heavily on various scientific research equipment for expansion.

For example, the Large Strong Particle Collider, Sky Eye, Hubble/Webb Telescope, observation array, electron microscope equipment, etc.

Pure mathematical methods are relatively rare.

It can even be said that the mathematical methods used in the physics community today are basically from the last century.

The gap is so big and so real.

After taking a hot shower and changing into clean and refreshing clothes, Xu Chuan came to the bedside, picked up the landline phone and called the hotel front desk, asking them to prepare a meal.

Although it wasn't time for dinner yet, he was already hungry.

Organizing manuscripts and inputting them into the computer is too energy-consuming.

After drying his hair, Xu Chuan made a cup of tea and sat back in the study.

Although the framework of the strongly correlated electronic system has been developed, this does not mean that the work is over.

In addition to the unified framework, the strong correlation system still has many problems.

For example, find a more efficient and accurate numerical method for the analytical solution of many-body problems in strongly correlated electronic systems, design prediction and optimization model algorithms for new strongly correlated materials, and explore the generation mechanism and characteristics of topological states in strongly correlated systems. Provide a theoretical basis for the realization of new quantum devices, etc.

The biggest difference between physics and mathematics is here.

The solution of a problem is not a completion, but a beginning.

Especially the last one, which provides a theoretical basis for the realization of new quantum devices, is the new research direction he has arranged for himself in the coming time.

Speaking of quantum devices, the first thing that comes to mind is basically a quantum computer.

This is a machine that can perform quantum computing. It uses the laws of quantum mechanics to perform mathematical and logical operations, and to process and store information.

Compared with traditional computers, quantum computers have many advantages.

For example, they have stronger "parallel computing capabilities", higher "information storage density", "quick solution to specific problems", etc.

When traditional computers process multiple computing tasks at the same time, they need to complete them one by one.

Quantum computers can process multiple computing tasks at the same time.

This means that quantum computers can complete more complex computing tasks in a shorter time.

Especially in the field of scientific research, quantum computers have unique advantages.

For example, in the simulation of chemical materials and medicine, classical computers need a long time and a lot of computing resources to calculate the properties of large-scale molecules.

Quantum computers can simulate the properties of molecules and provide more accurate predictions and calculations when doing these scientific simulations.

However, quantum computers are excellent, but how to realize the manufacture of a quantum computer without errors and with a wide range of uses is still the biggest problem in the scientific community.

The key lies in the basic information unit "quantum bit" used by quantum computers.

Unlike the binary code that is either 0 or 1 used by conventional computers, quantum bits can exist in the states of 0 and 1 at the same time.

This uncertainty comes from quantum superposition in physics: "That is, a quantum system can exist in multiple separate quantum states at the same time."

This is a bit confusing, but it is actually very easy to understand.

The fastest way is the "dead and alive" cat of the famous quantum physicist Schrödinger.

'Schrödinger's cat' refers to a cat locked in a closed room.

In this closed room, there is a glass bottle filled with highly toxic gas, and above the bottle is a box filled with radioactive radium atoms, and in the box there is a mechanism to detect whether the radioactive radium atoms have decayed.

If the radium atoms decay, the mechanism controls a hammer to smash the glass bottle, releasing poisonous gas, and the cat dies.

If there is no decay, the mechanism will not be triggered, and the cat is alive.

But according to the theory of quantum mechanics, since radioactive radium is in a superposition of decay and non-decay.

Theoretically, the cat should be in a superposition of dead cat and alive cat.

So before opening the box, you will never know whether the cat in the box is dead or alive.

After opening the box, it will quickly collapse into a single reality, dead or alive.

Although Schrödinger proposed this theory at first just to mock quantum mechanics, it is the simplest and most appropriate way to understand quantum superposition in the fastest way.

Although people will not encounter such "ghost cats" in real life, quantum bits have similar situations.

It can have two or more multiple states at the same time, just like Schrödinger's cat, both dead and alive.

The way to break the superposition state is measurement.

After we open the box, we know the life and death of Schrödinger's cat because we get a definite result (either dead or alive), and the superposition state no longer exists.

The calculation process of a quantum computer involves measuring quantum bits to collapse their superposition quantum states to 0 or 1.

This is the core mechanism of quantum computers and the biggest core difficulty in realizing quantum computers.

Because quantum bits are essentially subatomic particles in superposition states.

It is extremely sensitive. Whether it is electrons, ions or photons, or subtle changes in the environment around the quantum bit, such as vibration, electric field, magnetic field, cosmic radiation, etc., it may input energy into the quantum bit, thereby causing the superposition state to collapse and the quantum bit to fail.

Therefore, the quantum bit needs to be sealed in an extremely cold, vacuum environment to avoid any interference to the greatest extent.

However, with the construction of the theoretical framework of the strongly correlated electronic system, the study of the generation mechanism and characteristics of topological states in physics can effectively provide a theoretical basis for new quantum devices in the next period of time.

It can greatly reduce the difficulty of manufacturing and realizing new quantum devices.

As the author of the theoretical framework for realizing the strongly correlated electronic system, Xu Chuan has no reason not to continue to study this aspect in depth.

After all, if quantum computers have made new breakthroughs, the existing traditional computers, even large supercomputers, will be scum.

Because this is not a problem of computing speed, but a crushing from the dimension!

PS: Second update for monthly tickets!

Chapter 478/1042
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Great Country AcademicianCh.478/1042 [45.87%]