"What does this mean...... Feng Luoyi frowned again: "Similar calculations are not without ......"

"However, the people who wrote this kind of equation before were blind. Pang Jialai smiled without hesitation: "Including you, including me a hundred years ago, are all blind." ”

"You just happened to find a bunch of ...... It's just a special group of Tianyuan. ”

"It's just more special? Feng Luoyi, I used to think that you were a character, but now this sentence makes me feel that you are actually like that. Counting Jun sneered: "You have the resources of the entire Immortal Alliance, so take a good look at where this group of Tianyuan Group comes from." ”

Feng Luoyi stared at the formula given by the counter. Even with his ability, it took him a minute or two to recognize this formula: "Xuanxingguan's Star Tianhe Trajectory Formula?"

This can't be blamed on him, it's really because the number of citations of this formula is too small, and the search order is too low, Feng Luoyi has to compare some close formulas before he can "see" it. It describes the trajectory of stars around the center of the Tianhe galaxy, and there are very few researchers in this field, and the evaluation of this formula seems to be "inaccurate" and "imprecise", and there are naturally few people who cite it.

In fact, this kind of formula has been found repeatedly. Liuyun Sect's cloud flow celestial phenomenon formula, turbulence model, Tianlingling's 'scarce is expensive' model, and Xuanxingguan has studied multiple problems...... Finally, I've looked into this question as well. Summoning Jun calmly narrated: "These discoverers, all of whom are mediocre and stupid, have clearly touched this field, but they don't realize what they are touching. ”

"On this issue, I was originally just one of these mediocre talents, but in the sea of stars. In the dying vault that you asked me to guard, I used a set of 'arithmetic tools' [mathematical tools] that I built more than 100 years ago to calculate how the complex gravitational system unfolds from the perspective of the universe...... Those little guys. ”

Feng Luoyi was shocked again: "You actually talk about this kind of secret ...... in public."

Arithmetic continued: "Then, in the midst of repeated calculations, I seemed to understand something. I've tried more than once to reconstruct the divergent trend measure of the near orbit, and I've learned the ...... in the process The movement of the stars. Not certain. ”

"And when I came back, I realized that you had prepared the best form of expression to make my theory more convenient, and I have to thank you, boy. ”

On the face of the counter, the malice towards Feng Luoyi and the enthusiasm for the arithmetic itself mixed into a strange expression. He pointed to the cellular automata models in the virtual world, and said loudly to Feng Luoyi: "Now, open your eyes." You, and the other blind people!"

"I spent a few months 'taking the time' to learn about your arithmetic, and then I proved that cellular automata and narrow Turing arithmetic are equivalent. The two models are essentially the same, and with just a few rules, cellular automata can have the properties of a narrow Turing calculator. What cellular automata can do, narrow Turing calculators can do!"

"All calculators today are Fung architectures. The Turing calculator in the narrow sense is an arithmetic abstraction of the Feng framework. So. Even the Ten Thousand Immortals True Mirror is the same. The change of yin and yang, every step is determined. It acts as a calculator. Every step of the way is a definite and effective ......."

Speaking of this, Shui Jun listened to it and looked at Feng Luoyi playfully: "You can prove this, right?"

He didn't wait for Feng Luoyi's answer, so he went on directly: "Even in that purely mechanical system, such a rule of certainty is observed. And in a clear step-by-step system, there will also be such an operation - you can find the state of the whole system at another time according to the factors at one time...... However, small differences can lead to huge divergences and even uncertainties in conclusions. ”

Feng Luoyi seemed stunned. The others also fell into a state of stupor, not knowing what the two of them were talking about.

But. For no reason, the hearts of several great grandmasters began to beat wildly.

-- We seem to have witnessed an amazing scene......

This is the truth of heaven and earth. "If heaven and earth are one calculator, then there must be such a feedback mechanism in it, which can magnify small differences into huge feedback. ”

Feng Luoyi's body trembled slightly.

Turning a blind eye to this, his fingers sketched a strange figure in the air. The whole and parts of the figure are quite consistent, infinitely subdivided, infinitely complex, beautiful and weird, and from a distance, it looks like the wings of a butterfly.

Wings full of temptation and danger.

This is the manifestation of the Tao, the sensitive dependence on the initial conditions, the movement controlled by the infinitely complex set structure...... By the way, this image is actually an old thing, fractal. It's a pity that the vast majority of people in the Ten Thousand Dharmas regard it as a boring geometry game. Cellular automata, too, and most of you think of it as a kind of computational tool to simulate swarms -- and honestly, I'm amazed at how you got to this point. ”

"Did you do it on purpose?" Feng Luoyi raised his head and asked Pang Jialai: "You did it on purpose, right?"

"Deliberately? arithmetic is not a game of permutation in my hands, how can I 'deliberately'?" said with a smile: "Whether you believe it or not, arithmetic is like this." ”

"I mean, did you choose to come here today, on purpose?" Feng Luoyi rarely became angry. But this time, he was furious: "You bastard! How can you tell it in front of everyone! You not only leaked the secrets of the Immortal Alliance, but also endangered the safety of your fellow Daoists!"

"Why can't it?" Pang Jialai asked rhetorically: "This is the principle of shortcuts, why can't it?"

"Are you saying I shouldn't have told these little guys around me? I suspect that the fact that our entire Immortal Dao has been blind for hundreds of years has a lot to do with the education of the Immortal Academy. In order to cope with the unified introductory trial, those idiot instructors will always subconsciously ignore the complex situations and always focus on the simpler, more understandable situations. When teaching the partial differential Tianyuan formula. They can always ignore the multivariate and linearize the celestial element around a fixed point. They did it for no reason, and they were stupid. ”

Feng Luoyi looked at Shui Jun coldly: "The last time the incompleteness and undecidability were thrown out, what kind of tragic situation was the Ten Thousand Laws Gate, didn't you see it?

This guy is a negative score in "human affection", but he is not a fool. It's just so strong that others can't understand it. Feng Luoyi believed that he knew the consequences of coming here today to say what he had just said.

But he still came.

He wanted to let his subversive paper spread directly to the Quartet, so that Feng Luoyi could not cover it up at all, and all the monks of Shenzhou would be exposed to this impact.

"The Ten Thousand Laws Gate will not be destroyed, only those old guys will be destroyed. Counting Jun Pang Jialai sneered: "How many things did you delay the last time your mother-in-law's style was made? You can use your own authority to forcibly suppress your disciple's paper for half a year...... I can't get used to it. ”

"Unreasonable...... Feng Luoyi said angrily, "Don't you think about others?"

After talking about arithmetic, his expression returned to peace: "I don't have enough brains, I can't understand it." It's just stupid, don't think about it. What you understand but can't accept is all waste, and there is no need to think about it. If you can understand and accept it, you don't need me to think about it. ”

Feng Luoyi clenched his fists, almost about to make a move: "We are at the juncture of confrontation with the demon clan and contact with the dragon clan, if your paper makes the Wanfa Gate shake again, and even cause the fall of the ......."

It is different from Wang Qi's incompleteness theorem. It's a purely mathematical problem, and even outside the field of metamathematics, almost no one cares about it. Rao is like this, or has it caused chaos in the entire Shenzhou. Chaos theory is a mathematical problem, but it is not just a mathematical problem, it has a deeper physical meaning, and even the formula used as his argument is directly taken from the Liuyun Sect, Xuanxing Temple, and Tianlingling!

From the classic era. The old guys who still believe in the law of cause and effect are in danger!

"Hey, who do you mean? Bai Ze Shenjun? Bai Ze arithmetic, which this old-timer has been working on for hundreds of years, is nothing more than a calculation system that constantly redefines the calculus method and uses gadgets to differentiate and differentiate parameter terms...... Not only does it not make much sense. And the more it develops, the more complex it becomes. Don't you think this guy who repeatedly defines 'one plus one equals two' is a doomed attempt. This is a wrong direction, let him get rid of it sooner. Shui Jun sneered: "I don't even bother to see how complicated his magical powers are." ”

"What about the Immortal Alliance?"

"Don't forget Feng Luoyi, the Immortal League is always on the way. Even if you don't have the mind of 'Chaowen Dao', you must have the courage of 'dying at night'" Arian Jun sneered: "As for the extra position, there will be people who can understand and be promoted to fill it." Unacceptable old fellows, just fuck off like that kid from Hebcher. ”

-- The implication is that let them die.

After the conversation, the reckoning left with his hands behind his back.

Before leaving, he suddenly turned around and asked Feng Luoyi a question: "Can you actually accept it?" I originally thought that you would be the first to collapse. ”

Feng Luoyi shook his head: "This proof is not as impactful on me as you think...... It simply tells us the limits of our grasp of the law. But before that, I had seen the limits of cognition. ”

"People's thinking, people's hearts, compared with the avenue, is simply not worth mentioning. Pang Jialai, the monarch, left Lei Yang with his hands behind his back, leaving only the last sentence: "Logic must be unreliable." To know the Tao, one must go beyond logic. ”

There were only a few great grandmasters and Qi cultivation period cultivators left, looking around blankly.

"We ...... Did you just witness some history?" )

PS: The discovery process of chaos theory is quite amazing. Many formulas and models that embody the characteristics of "chaos" were discovered as early as the nineteenth century, and before Lorenz, the singular attractor was also discovered more than once, but it was not until 1964 that Ukrainian mathematicians made detailed and mathematical theories [due to the fact that during the Cold War, the mathematicians of the two camps did not communicate with each other, in 1972, the meteorologist Lorenz discovered the singular attractor again, and in 1975, a Chinese Taiwanese mathematician and an American mathematician went to complete the work completed by the Soviet mathematician in 64]

At this time, nearly 80 years had passed since Henri Poincaré studied the three-body problem.