319 I will take you to fly
The relationship between mathematics and physics is actually very deep. For example, both disciplines are very ancient disciplines. Generally speaking, excellent physicists are often extremely excellent mathematicians, such as Newton and Einstein. The reason is naturally very simple. Physics research is based on mathematics. If you don’t understand mathematics and rely on imagination to study physics, it is nonsense.
However, in terms of specific research, especially in modern scientific research, the two methods of research are actually different. The reason is very simple. Today, many branches have tested the geniuses' abstract thinking ability, and physics is a discipline that studies natural phenomena from beginning to end. Simply put, studying mathematics, you only need a notebook and a pen to build a fantastic world.
Algebraic topology, algebraic geometry, algebraic number theory, category theory, etc. are actually not just the knowledge of "number", but the abstract study of relationships and structures.
But physics is about studying specific things, whether it is classical physics, quantum physics, celestial mechanics or condensed matter physics. No matter which direction it is, the ultimate goal of physics has never changed. That is to study all the laws of motion in the material world and find the essential reasons behind the strange natural phenomena.
So many times physicists first observe a phenomenon in nature, then begin to inquire about the reasons for the occurrence of this phenomenon, find out the rules, and use mathematical tools to describe its research results, and use mathematics to quantify it.
For example, Newton observed the effect of force and creatively proposed the theory of gravity, but this was not enough, because the text could not accurately express this theory, so this genius creatively invented the calculus that made countless students feel troubled to accurately describe this theory; for example, Maxwell invented electromagnetic waves and light waves in field-form matter, and later generations introduced the mathematical fiber clump theory to accurately describe it; then Einstein proposed the general theory of relativity and discovered gravitational waves. At this time, Riemann geometry was needed to let people realize the correctness of general relativity.
In the end, quantum physics emerged, and at this time, scientists discovered that quantum physics can establish linear algebra. In other words, if you really want to understand quantum physics in depth, you must first pass linear algebra, because when you open the textbooks of quantum physics, you will find that various mathematical matrices and mathematical physical equations often appear, instead of simply telling you how counterintuitive the double-slit interference experiment is, and how magical quantum entanglement is. That is popular science, not science.
In this way, every major revolution in physics has new mathematical theories added, and the two are inseparable.
Fortunately, for Ning Wei, when the three words physics appeared in his mind, mathematics must have been no longer a barrier to his research. And theoretically speaking, he is more qualified than anyone to explore the truth of physics.
Even though physics has also developed to an extremely high level and various fields have embarked on the path of subdivision, the most mainstream research directions are only two major categories, macroscopic and microscopic. Of course, from the current development trend, the microscopic level is more valued, especially quantum information and multi-qubit entanglement, because there is not even a complete set of mathematical theories that can be described or even named in the multi-body quantum entanglement.
From this point of view, it is somewhat debatable for Google to directly announce that its quantum computers are ahead of the world and have mastered quantum hegemony.
Of course, the greatest ambition for physicists is to establish a unified theory, unify all four basic forces that affect nature, namely strong, weak, electromagnetic force and universal gravity, and establish a standard model to explain all fundamental particles in the universe and their interaction forces.
Obviously this goal is still far away, and it is even unknown whether there is such a basic theory. Because even if modern physics has developed to the point where many people are afraid of it, the essence of gravity is still unclear. Whether it is Einstein's gravitational wave theory or the gravitons that have not been discovered in the predictions, it seems that they are not enough to convince everyone.
A very complex topic.
But Ning Wei felt that if he wanted to understand the meaning of this inequality seriously, he still needed to study this complex topic. There is no doubt that this path is most likely correct, because in another parallel universe, this inequality was originally proposed by a Chinese quantum physicist and named Ma Zhenhua inequality.
Of course, although this inequality is very simple, if people now understand quantum mechanics, it would take about thousands of pages to explain this inequality clearly and form a paper.
For Ning Wei, he was just looking at this inequality with the eyes of a mathematician, and using some mathematical logic to judge where he should start to analyze this inequality and find a way to solve it.
Then quantum physics came to mind again.
Well, it's pretty good. Ning Wei has a basic understanding of quantum physics. This understanding is due to his renting a history of quantum physics development in the library when he was in Jiangda... and a brainstorm occurred in his brain, as if he had experienced the changes in the universe as a bystander and saw the magnificent and magical scenery at the microscopic level.
However, Ning Wei felt that his intuition was very reasonable. In fact, the microscopic level was actually very interesting. For example, atoms that once thought were inseparable, after scientific development, especially observation of equipment progress at the microscopic level, they realized that atoms were not the smallest units of particles. Atoms also contain nuclei and electrons outside the nucleus. At the same time, the nucleus is composed of protons and neutrons.
When scientists at that time believed that protons were elementary particles that cannot be further divided, a large particle collider appeared and found that protons could also be redistributed, composed of quarks and gluons.
When these concepts appeared in Ning Wei's mind, he had already made up the motion diagram of particles in the microscopic world. If we look at it from a human perspective, the motion trajectory of particles cannot be completely determined and can only be expressed in probability. But perhaps at the microscopic level, slow down time, slow down, and slow down to Planck's time unit to observe. Will the dynamic picture presented by the microscopic world at that time be similar to that of humans who are observing the universe now?
The imagination of the layman lasted for about three seconds. Ning Wei said to the bored and cute March on the computer screen: "Help me organize a system of knowledge recognized by quantum mechanics. What books do I need to read in the first study? The theoretical series of various branches of research, and the most cutting-edge valuable papers, all of which are organized. It seems that I need to learn it again."
The information sorting is undoubtedly the direction that March is best at, so it would be better to be ashamed of this.
Thanks to this, although everyone has hidden the specific research technology, at least in theory, physics can still maintain interoperability in world physics. Of course, this is impossible. Theoretical progress requires the collision of scientists' thinking. Of course, more importantly, many theories cannot even judge whether they are right or wrong before they are verified. It requires everyone to brainstorm for research, so naturally there is no need to hide it.
Of course, once theory is linked to practice and produces results, it will generally become a secret that is not passed down. Especially in physics, generally speaking, physicists who study and apply are more affordable than most research theories because applications are relatively easy to produce results. For scientists who study theoretically, the trajectory of life is directly the difference between 0 and 1. Most theoretical physicists are 0. They have made silent contributions throughout their lives, and even die until they die. Few people know their names. Only a very small number of people can become 1. They are directly named after thousands of histories, and even use their names as units of measurement.
Of course, it is not that those 0s are meaningless. In fact, many times the research of those 0s paves the way for 1s or inspires them. This is also the reason why the theoretical physics community cannot tolerate too many people. It is too ruthless to eat...
Especially the learning of physics still has its special features, that is, it is too easy to get started, especially high school physics is very interesting, and it is easy to get into it. For example, after learning high school physics and understanding some basic mathematical knowledge, you can easily understand why a large truck running at the same speed is harder to stop than a car, and you can easily master why a light can be controlled with two switches.
Not to mention that physics knowledge in junior high school and high school involves many interesting experiments. As long as you understand the principles and spend some time making them, it is tantamount to making them manually. It is still a very wonderful and counterintuitive thing that makes people addicted to exploring these novel areas. For example, when you went to the science museum in junior high school and high school, there are many equipment that use simple physics knowledge to prepare, but particularly unique, such as homemade phonographs.
But it is completely different when you get to university. The physics life you start studying in college is basically invisible, and replaced by many cumbersome formulas. It even makes people think that high school physics and university physics are not the same subject, and what is tested at this time is abstract ability.
When searching in March, Ning Wei had already passed the physics knowledge he learned in high school in his mind, and it was very vividly passed it. Light, atmosphere, electricity, electromagnetic...
Ning Wei felt a little excited about investing in a brand new research and learning. For him, this was a brand new beginning. And it was the beginning assisted by artificial intelligence.
March also showed its ability. Just after Ning Wei re-sorted the physics knowledge in his mind, March had already sorted out the textbooks that physics needs to be studied into a catalog according to his needs.
Ning Wei clicked on the catalogue and arranged the course in very detailed detail. It included the history of basic mechanics, thermodynamics, electromagnetics, optics and modern physics, and then a series of development history of particle physics. After studying particle physics, it was only when he came to quantum physics that he needed to learn. The reference books he gave were "Introduction to Quantum Mechanics" and "Principles of Quantum Mechanics". Then there were a large number of lectures and papers. Ning Wei looked at the catalogue of papers he needed to know, and recommended 386 articles to him in March...
"What principle do these papers recommend to me?" Ning Wei asked.
This question is very necessary, because Ning Wei is very clear that even with his ability in March, it is impossible to browse nearly 400 papers at the same time in such a short time and determine the value of these papers.
But soon March gave a well-founded answer: "Miao... This is taken from the top 50 universities in the world's top 50 quantum physics in the past decade, and the number of citations in their doctoral thesis."
This answer is very convincing.
Although his doctoral thesis review is a bit hasty, most doctoral thesis, no matter how much water it is, will not be more important than large papers during the doctoral research stage. Especially for famous schools, large papers generally adopt double-blind review, and even the regulations in China are becoming more and more strict. For example, many doctoral sites have begun to prohibit listing the names of published papers, even journals and conferences in graduation papers.
This is actually because doctoral thesis is also one of the most important representative works of many serious doctors in their lives. After all, if the paper published in the journal is not well written, it can still be modified. However, if the doctoral thesis is passed, it will be finalized and there is no chance to write it again. Moreover, many graduate students who are just entering this field will first read the doctoral thesis left by their predecessors to enter this field. Therefore, those serious doctoral students from famous universities generally attach more importance to graduation thesis.
When making citations, we will naturally repeat the research and will definitely not use some research conclusions that are not of quality in the journal. Therefore, this screening mechanism is undoubtedly extremely scientific.
"Okay, go." Ning Wei waved to March, then took a piece of paper, copied the required bibliography directly, stood up, and walked out of the office. He happened to see Classmate Jiang walking in the stars. A smile appeared on his face unconsciously. He stuffed the required bibliography content into Liu Wei's hand leaning against the wall, and then met him.
"How is your review today?" Ning Wei asked.
"Huh... I have finally finished the Western microeconomic study questions." Student Jiang sighed a long sigh, and then showed a happy smile. From this smile, we can see that the academic pressure at Yanbei University is ultimately extremely great.
"Well, this is pretty good. Congratulations to Jiang for taking another step towards the status of a great economist in the future." Ning Wei congratulated very formally.
"Stop messing around, what an economist, I'm exhausted from studying those concepts." Classmate Jiang said with a blushing face, looking up at Liu Wei standing at Ning Wei's office door. Fortunately, Brother Liu was looking at the piece of paper Ning Wei had just stuffed him, and he looked a little stunned. He probably didn't hear this guy's words.
"Look, isn't it superficial? I told you that economics is a thing. You actually memorize more nouns. Just be able to fool people when doing research. Anyway, the judgment of the future economic situation is nothing more than two situations. Either wrong or right. As long as you analyze it correctly, you will be an economist? It doesn't matter if you are wrong. Anyway, all the conditions of this thing are false, and there are many people who come to opposite conclusions in the same conditions. Who will really be serious with you?"
Ning Wei said unconvincedly.
"There are still many scientific reasons, okay? Where can I talk nonsense? Are you finished today?"
"Yeah, ready to go back at any time."
"Wait, I'll help you clean up the office first. I haven't been here for two days, so I will definitely be in chaos again."
"Actually, it's okay... OK... Then I'll wait for you."
Student Jiang smiled and greeted Liu Wei by the door, then walked into the office to start cleaning up. Liu Wei was able to raise the manuscript paper in his hand, look at Ning Wei inquiringly and ask: "Professor Ning, you are..."
"Of course, I just need these textbooks."
"No, I mean you're going to start studying physics?"
"Well, you told me that you should wait for this world. I think what you said makes sense, so I decided to start studying physics from the beginning so that I can relive the feeling of my undergraduate years and learn a new knowledge systematically. By the way, I don't know anymore. I am already a professor, can I still get a double degree in undergraduate and master's degrees?" Ning Wei sighed.
Liu Wei took the paper, thought for a moment in his mind, and said pertinently: "If you just want a double degree certificate... you may not need such trouble."
Ning Wei stood at the door and watched Student Jiang neatly sort out his messy desk. He felt inexplicably good. He explained: "Haha, jokingly, Brother Liu, I know too. But you don't know. My biggest regret in my life is probably that I didn't take the postgraduate entrance examination and the doctoral exam, so I always miss the undergraduate stage. Of course, it's impossible to take the exam again. At most, I occasionally visit and listen to classes. The main reason is that I have some interest in physics. I have really felt a little tired when I do math research recently. I look at physics books, just like reading Gu Long when you are fine, and I can rest and rest my brain."
"Oh..." Liu Wei nodded, expressing his belief in Ning Wei's explanation. In fact, there is no need for Ning Wei to explain anything.
"No, do I have anything to worry about when studying physics?" Ning Wei finally moved his eyes away from his slim figure and asked at Liu Wei.
"How to say..."
Liu Wei thought for a while and then said, "When I saw this piece of paper, I suddenly thought of what the high school physics teacher said in the last class before the college entrance examination. He said that the most important thing for us to study physics is to think, rather than simply being bound by the theory in the book. The theory of physics is actually being corrected, just like Newton's law of universal gravitation was corrected by the general theory of relativity. So the teacher hopes that if we study physics in the future, we can become a scientist who can correct the theories of our predecessors."
"Of course, this physics teacher also said that if you want to correct or even overturn a theory, you must first study and understand this theory in depth in order to be qualified to point fingers at the current theory. So he sent a message to our future class who are interested in studying physics to become real scientists rather than fantasies. Thinking of this sentence, I suddenly felt that you should not think about these physics contents..."
Ning Wei looked at Liu Wei in surprise and said, "Brother Liu, if you, a high school physics teacher, can say these words, then your teaching level should be very high, right?"
Liu Wei nodded and replied, "Well, he has always been a teacher I respect very much. In fact, he has the same message to the students he has taught in every class. It's a pity that we have disappointed him at the moment."
"Oh, then take two of these textbooks and bring you one too. We can study together. If you have anything you don't understand, you can ask me. Protect me and I'll take you flying." Ning Wei patted Liu Wei's shoulder very well and said.
Chapter completed!