Chapter 117 Finally Going Crazy A week flies by. Xu Qingzhou looked dejected as he walked out of the classroom, planning to walk around the school to relax. The proof of Cramer's conjecture had encountered a bottleneck, and the two proof methods he had planned had both reached a dead end. In the classroom, besides Xu Qingzhou, there were three other girls studying together. Seeing Xu Qingzhou go out, someone breathed a sigh of relief. "In just one afternoon, he used more than a dozen sheets of manuscript paper. When I went to the bathroom just now, I took a special look at it. There were densely packed calculation formulas, most of which I didn't recognize." "For three hours, he didn't even go to the toilet." "Good kidneys," commented one of the girls. "Ok?" Seeing the other two people looking at her, the girl coughed lightly, "Mathematics major, that's crazy." "Yes."
It rained last night. The air is chilly but fresh, which makes the brain clearer. Xu Qingzhou walked slowly, recalling the details of Kramer's conjecture in his mind. Cramer's conjecture states that there exists a constant C such that for all sufficiently large natural numbers x, there is at least one prime gap no greater than C(log x)^2. (p n+1 -pn)/(lnp n)^2 =1 n→∞ limsup pn represents the nth prime number. too difficult. Xu Qingzhou let out a breath, then simply cleared his mind and took a break. The autumn scenery of Yanyuan Garden of Peking University is unique. At this time, autumn is in full swing, the sun climbs up the ginkgo treetops, the red dots of maple leaves dye the lush grass, and the autumn wind blows, making the lake sparkle. Many tourists were taking photos by the lake, and some students from the Academy of Fine Arts were sketching. Xu Qingzhou walked across the pavilion on the island in the middle of the lake and to the east shore of the lake. During the walk, he took a photo of Song Yao who was in class, which made Song Yao envious. He walked around again and prepared to go back. Although he still had no ideas, he felt much more relaxed after taking a walk. A lot of leaves fell, and two leaves slid down from the branches, drawing two similar and beautiful arcs in the invisible wind. and many more! Xu Qingzhou stopped abruptly and stared at the falling leaves. Just at that moment, an idea suddenly came to him. In the classroom. Under the surprised gazes of the three girls, Xu Qingzhou walked into the classroom eagerly, picked up a pen, and quickly wrote down his inspiration on the manuscript. Cramer's conjecture describes a certain mathematical property between two adjacent prime numbers. Quantum entanglement, two entangled particles still maintain a connection with each other even after they are no longer coupled. Xu Qingzhou stopped, something flashed through his mind, but he couldn't grasp it.
Quantum entanglement Graph theory and combinatorics can be used to study the entanglement structure in many-body quantum systems. Quantum algebra and category theory provide new perspectives for the abstract description of quantum entanglement. In addition, optimization theory and probability theory are also widely used in the measurement, verification and error correction of quantum entanglement. At this moment, he caught the tail of inspiration. Mathematics is a tool for studying physics, but who says that physics cannot feed back to mathematics and provide new research ideas for mathematics? Although quantum entanglement is far from Cramer's conjecture, some aspects of it are indeed worth learning from. Graph theory, combinatorics, optimization theory. These are all things he used to be good at. Maybe, you can use it. Looking at the fully written structural diagram, Xu Qingzhou couldn't suppress the surprise on his face. If this is the case, then maybe it will work! Several girls exhaled and looked at each other. The meaning in their eyes was self-evident: "Finally. He is crazy." November 11th, four days passed in a flash. Xu Qingzhou basically lived between the dormitory, cafeteria, and empty classroom. During this period, he skipped two political classes. He took a new path of proof, which was a combination of the first two methods, using mathematical tools such as analytic number theory series and integrals. The pn model must also be used. This is a model written by Xu Qingzhou himself. It is one of his biggest gains in the past month. It can analyze the relationship between adjacent prime numbers very quickly. During this period, he seemed to have returned to the time when he was working hard on experiments. Apart from sleeping and eating, I basically spend all my time doing calculations. What's different from before is that he now pays more attention to his physical health. So, at 6 o'clock in the evening, he simply ate a piece of bread in the dormitory, put on the sports suit Song Yao bought for him, and went out with a water cup. Normally, he doesn't have the habit of bringing a water cup, but it's the beginning of the month and Song Yao is having her period, so she can't exercise. Although his running friends were not around, Xu Qingzhou did not rest. He exercised for two months in a row and experienced the joy of sweating. I've been working non-stop for three or four days like this, and I feel uncomfortable if I don't get out and move around. As November approaches, the temperature drops suddenly, even to below zero degrees at night. Walking on the campus, the unique scenery that can be seen in summer is basically covered by thick clothes. When Xu Qingzhou arrived at the May Fourth Sports Stadium, he was surprised to find Song Yao was there too. She was wrapped in thick clothes, holding a cup, and had no makeup on. Compared with usual, her skin was fair and tender, with a more pure beauty, and at the same time, a hint of fragility that made people want to protect her. Looking at Song Yao who suddenly appeared, Xu Qingzhou said, "Didn't I tell you to rest in the dormitory?" "If I don't come, what if you are lazy?" Song Yao curled her lips. She glanced at Xu Qingzhou and wondered if this guy had been staying up late again. He had dark circles under his eyes and seemed to be the same doctoral student named "Wang Wei" whom she had seen in the cafeteria last time. "We thought we were already friends, but we didn't expect that there was not even this much trust between us." Xu Qingzhou shook his head and sighed. "Men's words are lies." Song Yao snorted coldly and walked towards the place where the two of them usually warmed up. "You're done, you can go home now."
“The dormitory is too stuffy.” (End of this chapter)