Chapter 355 Xu Qingzhou was unilaterally sanctioned In the milk tea shop, the couple seemed to notice that there were two people watching a show next door and they had already left with their milk tea. If you can't reason with me, just fight? Ding Jiahui blinked and said uncertainly, "Yaoyao, quarreling is one thing, but isn't it a bit too much to fight?" She found that her best friend was becoming more and more unconventional. "Is it too much?" “Isn’t that too much?” "." Song Yao said to herself, "It's not too much if the clothes accidentally fall off while we're fighting." But of course, this kind of little interest between lovers cannot be talked about casually. She thought for a moment and said, "In short, if two people like each other, they should express their thoughts to each other clearly and not hide them." Unconsciously, Song Yao and Ding Jiahui had swapped roles as military advisors.
"Yes." Ding Jiahui agreed with that. If she just stayed here sulking and said nothing, how could the problem be solved? She thought of something more important: "Yaoyao, you and Xu Qingzhou have never quarreled, so you don't just resolve things through fighting, do you?" "No" Song Yao shook her head. It seemed that there was really no conflict between her and Xu Qingzhou. Moreover, a fight requires both parties to be equally matched, and the cowardly Teacher Xu was unilaterally sanctioned. At this moment, in Yan Dongyuan, Xu Qingzhou, who was leisurely watching videos, suddenly felt a chill on his back. When Song Yao pushed the door open, he saw that Xu Qingzhou had returned earlier than him. He had even finished his shower and was looking at information on a tablet. "I am back." "How was the movie?" Xu Qingzhou nodded. Song Yao and Ding Jiahui went to see the movie "Dream Partners" in the evening. "It's ugly." Song Yao commented. "Very accurate." Xu Qingzhou agreed. He had watched it once before and almost fell asleep in the middle of it. “You didn’t look.” “I read the reviews online.” Xu Qingzhou made up an excuse and said without raising his head. He was reading the latest news in the mathematics world. Maryna Viazovska, a postdoctoral researcher at the Berlin Institute of Mathematics and Humboldt University of Berlin, proved that in 8-dimensional space, E8 is the densest packing of spherical objects. This discovery is of great significance for understanding the geometric structure in high-dimensional space. Bourgain, Demeter and Guth jointly solved the proof of Vinogradov's mean value theorem, which is a theory about the number of positive integer solutions to a system of equations. The three scholars introduced elements of harmonic analysis. In just a short while, he had finished reading the content of the mean value theorem. These three scientists introduced theories such as Fourier transform, wavelet analysis, and operator theory. In addition to the things in harmonic analysis, they also used number theory variation method, partial differential equations, etc.
In physics, the mean value theorem can be used to study phase space density distribution, particle collision cross sections, and so on in quantum field theory, while in economics, it can be used to analyze the volatility of financial markets and stock price trends. "You're back so early today?" Song Yao had already changed into slippers and was walking towards me with clattering feet. "It was just a meal, and I didn't even drink much wine." Xu Qingzhou said with a smile. After two years of experience, the three Moriguchi of 101 are no longer the young and reckless people they used to be, who would drink from bottles of wine and would not stop until they got the other person drunk. Gradually it became a health-preserving bureau. After the meal, the four people didn't even finish a glass of wine. Song Yao sat down aside, fell into Xu Qingzhou's arms, sniffed his pajamas, and found that there was indeed no smell of alcohol on this guy. "Get out of the way, you're crushing me." Xu Qingzhou helped the girl to stand up. Song Yao sat down, glared at Xu Qingzhou resentfully, and then threw herself into his arms again. "Teacher Xu, thank you." The girl in his arms murmured. When chatting with Ding Jiahui today, she realized that Xu Qingzhou had always been the one showing weakness. Love requires efforts from both parties, and she feels that she needs to be a little "weak". Xu Qingzhou was stunned. Today was June 6th and her period had long been over. How could this suddenly happen? Song Yao looked up and asked, "Am I really like a tomboy? Not gentle at all." "Of course not, you are the best for me." Xu Qingzhou said with certainty, but he sighed in his heart that School Beauty Song has a clear positioning of herself in this regard. "Really?" "With all my heart." Song Yao put her face back on his chest: "Then praise me for my gentleness." "Gentle and considerate, sensible," Xu Qingzhou recited against his will, and at the same time, the image of School Beauty Song clenching her fists appeared in his mind, "Gentle and virtuous, independent and reserved, and fierce." Xu Qingzhou stopped talking. What was the last thing he said? Song Yao was enjoying Xu Qingzhou's praise for her, and she also found that there seemed to be something strange mixed in with these words. She left Xu Qingzhou's arms and asked, "What did you just say?" "I'm praising you, wait, hiss~" So, School Beauty Song, who originally wanted to pretend to be weak, pressed her boyfriend on the sofa and ravaged him for a long time before happily going to take a shower. mid-December. Song Yao’s TOEFL score came out, and as expected, it was a high score of 117. Xu Qingzhou was also methodical in collecting relevant data. The computer was humming, and lines of complex characters were sliding across the screen. Xu Qingzhou is currently preprocessing last week’s raw data, including removing noise, filling in missing values, and data smoothing.
He himself was calculating the probability of discovering the electron. The probability of finding an electron at D is: P(D|ψ(D, t)|2^2 \\=N^2|e^{-iEt Assuming the momentum of the incident electron is p, then in the electron momentum representation at time t=0, the probability amplitude of the electron momentum p taking the path P in Figure 1 and reaching point D on the observation screen is: k(p, t）=￡)ψ(y, 0) When the particle is confined to a circular ring, the wave function of the particle depends only on the azimuth angle, that is, (θ=π/2, r=b)(, so the steady-state Schrödinger equation can be written as a linear differential equation with constant coefficients. Unlike Song Yao, who is under the supervision of Professor Li to work on various projects, Xu Qingzhou is completely in free-range mode. Chu Jiangfeng and Yang Yongze's project reached the later stage, and on June 6, they flew to the UK to participate in academic exchanges. The AB effect reflects the coherence of quantum particles, that is, the wave functions of particles on different paths can interfere with each other and produce observable effects. The phase relationship is mainly reflected in the phase of the wave function of the electron beam. On July 7, Xu Qingzhou tried to apply the wave function coherence model in the AB effect to quantum entanglement in order to establish a theoretical model to describe the coherence of quantum entanglement. At 5 o'clock in the afternoon, the sun was not as hot as it was at noon. "Let's wait until next month. I'm a bit busy this month," Xu Qingzhou responded to Ms. Wang. As soon as the holiday came, Ms. Wang started calling to ask about going home for the summer vacation. But he knew that Ms. Wang's visual fatigue period was only three or four days. "Aunt?" "Yeah." Xu Qingzhou nodded. On the other end of the phone, Wang Xiaping seemed to have heard Song Yao's voice and asked Xu Qingzhou to hand the phone to Song Yao. "We're just getting ready to go eat. Okay." 3 minutes passed. Song Yao returned the phone to Xu Qingzhou: "Auntie told me to keep an eye on you and not stay up late all day." "I'm not staying up late anymore." "I told you not to bully me." "Okay, next time I'll just record a video of you beating me up." "." Let's have dinner together. Xu Qingzhou has to go to Professor Chang's place in the evening. He called Professor Chang at noon and told him that he wanted to borrow data. Professor Chang has been participating in quantum satellite experiments at the Quantum Research Institute. The only person in the office was Qi Wanpeng, a student of Professor Chang Ciyuan. "Junior Brother Xu, long time no see." "Senior brother." "Professor Chang has gone to see Director Ji. You have to wait a while. Pour your own tea." "Okay." Xu Qingzhou nodded with a smile. After sitting down, he asked, "What are the results of your experiment this time?" As far as he knows, the Kyoto University project team is cooperating with the California Institute of Technology in the United States, and plans to use quantum satellites to conduct experimental tests in the Earth's gravitational field on theories that attempt to combine quantum mechanics and general relativity. A gravity-induced quantum entanglement decoherence experiment was carried out in space to test the decoherence of quantum entangled photons passing through the earth's gravitational field. “The experiment was a success.”
Speaking of this, Qi Wanpeng suddenly became excited. "Through the experiment, we have completely ruled out the phenomenon of entanglement decoherence caused by gravity predicted by the theoretical model with stronger 'event form'." Xu Qingzhou recalled that this thing was a theoretical model proposed by an Australian physicist. According to the proposal, the correlation of entangled photon pairs would be probabilistically lost during their propagation in the earth's gravitational field. "Junior brother, it's a pity that you didn't come to participate in this experiment." At the end, Qi Wanpeng sighed. "I really can't leave." Xu Qingzhou said helplessly. Unable to walk away, at the same time, he had done more complicated experiments before. At present, the Micius quantum satellite has an orbital altitude of only 500 kilometers and is unable to conduct tests within the stronger entanglement decoherence range predicted by theory. "We have ruled out theoretical models with a strong 'event form', but there are other versions of theoretical models that need to be tested, and the road ahead is long and arduous." "Senior brother also believes that there is a possibility of a grand unification of general relativity and quantum physics." Xu Qingzhou asked with a smile. "Believe it!" Qi Wanpeng nodded affirmatively. "Besides, there are many encouraging achievements at present. Everyone is already focusing on the grand unified theory." Xu Qingzhou sighed a little, this senior brother is indeed an idealist. However, some physicists are currently studying whether it is possible to construct a grand unified theory that can unify all fundamental forces. The goal is to create a mathematical framework that can unify the four fundamental interactions - electromagnetism, the weak force, the strong force, and gravity - to provide a more integrated and comprehensive understanding of the workings of the universe. Qi Wanpeng asked: "Currently, the two candidate theories are superstring theory and loop quantum gravity theory. Junior, which one do you prefer?" Xu Qingzhou shook his head. "For these two theories, there is no possibility of solving them at present. First of all, we need to solve the inconsistency between general relativity and quantum mechanics in mathematical framework and physical assumptions." "Secondly, we need to find an effective method to describe the quantization of gravity. Finally, we need to verify the correctness and reliability of these theories through experiments." "Yes, even the first step is already difficult." Qi Wanpeng sighed, a little depressed: "I can hardly see any hope." "However, I believe that great unification will be achieved one day." Xu Qingzhou is optimistic and continues: "In my opinion, general relativity and quantum mechanics are like two painters with completely different styles." “The former is good at using smooth, continuous lines and rich colors to depict a grand cosmic scene. The space and time in his paintings are like a huge, soft canvas that can be bent and shaped by various objects and energies.” “It’s very accurate.” Wan Peng's eyes lit up, and following Xu Qingzhou's instructions, he continued, "On the canvas, galaxies, stars, and planets all move in precise, predictable orbits, as if being pulled by an invisible thread. This thread is gravity, and its source is the distribution of mass and energy." "Yes, this artist can accurately calculate the position and speed of any object at any time, whether it is a distant galaxy or a nearby planet." “The latter is good at using tiny, flickering brushstrokes to depict the marvelous scenes of the microscopic world. In his paintings, particles, waves and fields are intertwined, forming pictures full of uncertainty and probability.” "The particles he describes always seem to be in an ambiguous state, like both waves and particles, until they suddenly 'choose' a definite state when they are observed." Now, let these two painters with very different styles paint together. The result is that their brushstrokes and colors will clash severely and be out of tune with each other.
As the two were talking, Professor Chang Ciyuan came back from a meeting. "What are you two talking about? It's so lively." "Grand Unified Theory." Qi Wanpeng replied. Chang Ciyuan shook his head, feeling helpless towards his student. The quantum satellite had only been launched for less than a year, and he was already fantasizing about the grand unified theory. He didn't waste time and said to Xu Qingzhou: "It's hard to explain over the phone. Come on, tell us about your experiment in detail." Xu Qingzhou briefly explained the content of his experiment. “AB effect and quantum entangled state.” Professor Chang fell into deep thought. After a while, he nodded slightly and said, "Your idea is actually very novel. No one has ever thought about it this way." "To be honest, the model is not perfect yet, and I am not completely sure whether there is a regular correlation between the two." "Doing scientific research requires constant exploration." Professor Chang Ciyuan smiled softly, "As for the data, there is basically no problem. After all, a considerable part of our entanglement data is open to foreign research institutions. It is impossible for us to be stingy with our own people." "That's fine." "You really don't have any intention of concentrating on studying physics?" Professor Chang Ciyuan couldn't help asking. This kid is a natural physicist, so why did he go to the School of Mathematics? Xu Qingzhou shook his head and said with a smile: "Let's lay a solid foundation in mathematics first." After staying in the office for a while, Xu Qingzhou got up and left, planning to read a book first and then pick up the school beauty Song in the evening and go home together. At the same time, at an advanced mathematics institute in India. "Hey, Amir, wanna have a drink?" The young man shook his head. "Sorry, I'd rather do some math problems quietly than go to a noisy bar." "Well, you're going to miss a wonderful encounter." Amir didn't comment, and soon he was the only one left in the office. He stood up, poured himself a cup of coffee, and stood in front of the window to relax his brain. At this time, his competitor Xu Qingzhou was probably also working hard. Amir's eyes were determined, the battle without gunpowder had already begun. After several months of hard work, he has established a square function estimate using a bilinear oscillation integral estimate, and has also improved the local smoothness estimate of the Fourier integral operator that can satisfy the movie-type curvature condition. Of course, what comes next is one of the hardest parts, converting the bilinear square function estimate into a bilinear oscillatory integral estimate. "Whoo~" Taking a deep breath, Amir sat down at the table again, his thoughts quickly immersed in the equation in front of him. (End of this chapter)