"In a plane, a little outside the straight line, can at least two straight lines be made parallel to this straight line?"

As soon as Jia looked at the beginning, he couldn't help but raise his head, it turned out to be non-Euclidean geometry, no wonder his paper would be ostracized, and neither the parliament nor the people in the journal "Mathematics and Physics" could accept it.

Gibbos nodded: "Yes, Master Rod-Orri wants to use the counterproof method to prove the fifth axiom, assuming that two parallel lines can be made parallel to the current straight line from a point outside the straight line, but I didn't expect that he could not prove the fifth axiom instead, but came up with such a strange thing." ”

Jia Yi continued to look at it, and there was no mistake, it was non-Euclidean geometry, or hyperbolic geometry in non-Euclidean geometry, also called Roche geometry.

For mathematicians, the axiom of parallel is too complicated, more like a theorem than an axiom, and there are many mathematicians on earth who have tried to prove the fifth axiom with several other axioms and tried to turn it into a theorem, but without success. Here, too, Rodeuli has the same idea, using the method of counter-evidence to reach the exact opposite conclusion.

This is undoubtedly a major and subversive result, even a complete reversal of the current geometry, which, according to Roderi's theory, is less than 180 degrees in the sum of the internal angles of a triangle.

Rodeori thought that his theory might not be accepted, but he did not expect that he would be met with much greater resistance than he had imagined, and that the parliamentary review committee did not let his paper pass at all.

The conservative forces are far stronger than he thought.

After reading the paper and putting it down, Gibbos saw it and asked, "How is it? Is it a very good paper? The argument is very rigorous, and the result is very unexpected." ”

In fact, Gibbs didn't pay much attention to this paper, and he didn't think that this result had any special significance, and it was also because of human affection that he helped Rodorry. The current non-Euclidean geometry has a fatal weakness, that is, the lack of realistic models, and geometry is not like pure mathematics, almost any geometry is a realistic model. This makes non-Euclidean geometry more difficult to accept.

So even if this result is correct, in Gibbos's eyes, it is just a special theory, and even a bit of grandstanding.

Yes, I think his arguments are correct, the results are meaningful, and I would be willing to give a positive review of his paper if I could. Where's Master Rodeori? I'd like to talk to him in person. ”

"That's no problem, I don't think he'll turn down a mage who agrees with him, and I'll make an appointment for you as soon as possible. ”

What happened to Rodeoli reminded him of the mathematician Lobachevsky on Earth, who was the first to give the opposite proof of the fifth axiom, but non-Euclidean geometry was not recognized until nearly 30 years after his death.

As an outstanding mathematician, his life was not difficult, but non-Euclidean geometry was ridiculed and attacked, and at the mathematics conference where he first presented his paper, the results of the appraisal team organized by the academic committee after the meeting did not give the appraisal results, and finally even the manuscript of the paper was lost. After the publication of Roche Geometry, he was even attacked: "It seems that the author intended to write a work that is incomprehensible." He achieves his purpose. ”

Until the end, Lobachevsky lived his life in depression and depression, and non-Euclidean geometry was generally considered "nonsense" until 12 years later, when it was slowly accepted.

Kaichi didn't want Rodorie to end up in the same situation as Lobachevsky, so he decided to help him.

Gibbos was really attentive to helping Rodorry, and soon helped Jiayi make an appointment with Rodorri.

In Jiayi's own bubble tea shop, Jiayi met Rodor Orly. He originally thought that Rod Ori would be embarrassed and depressed after being rejected by the council, but he didn't expect to find that this was not the case after meeting, Rod Ori seemed to be in good spirits, his face was resolute, and the whole person was dressed very energetically, which was not the same thing as the sad face that Jia Yi imagined.

"Master Jiayi, I heard that you agree with my proof of geometry? ”

As soon as he sat down, Rodeoli began to boast that the Parliament's rejection of his paper did not seem to matter to him. Jia Yi didn't know why, but while he was happy for him, he couldn't help but feel a little lost.

"Are you confident in your paper?"

"Of course, if I didn't have faith, I wouldn't have submitted it to the council, but they didn't know the goods, and they even said that what I said was not in line with reality, and refused to admit it, what a bunch of old stubborns. "Rodeori scoffed at the Parliament's actions.

However, Kaichi knew that if the paper given to him by the council passed, his evaluation would definitely change his tone. Despite his disdain, he was clearly resentful of the Parliament's refusal to approve his papers.

If this were not the case, he would not have submitted his papers to the council many times, but each time they were rejected.

"Then this time, do you want to publish it directly on "Elemental", and don't apply to the council for review?"

This is okay, but without parliamentary review, his papers have no arcane points, and without council review, there are generally few magazines willing to publish their papers. The fact that Rod Ori was able to publish directly in Elements was not unrelated to the recommendation of Beltrami, the editor-in-chief of Mathematics and Physics.

The spoon in Rod Orry's hand that stirred the milk tea paused slightly and said, "Yes." The council has decided to hold a hearing for my thesis, and if I still don't accept it, then I will not be allowed to submit my paper on the new geometry. I would like to publish my paper before the hearing and get some more support. ”

At this time, he didn't look so sure, not as confident as he had been when he first came in. And after the paper is really published, no one can say whether it will get more support or more abuse.

He looked at Jia Yi curiously and said, "Master Jia Yi, are you also very good at geometry, and I don't seem to have heard of any achievements in this area?"

He was a little suspicious that Kaichi was willing to support him only for the sake of Gibbos's face, and what he needed was sincere approval, not superficial approval. He was very proud in his heart, and he didn't need sympathy.

Hearing what he meant, Kaichi stretched out his hand and drew a curved surface on the table, saying, "Nowadays, geometry is all about the study of planes, have you ever wondered what it will be like on a surface, even if it is just a tiny surface? ”

Rodeoli was stunned for a moment, his eyes burst out with a strong look, the spoon in his hand was pinched and bent by him, he looked at Jiayi in disbelief, and he was almost speechless.

There was silence for a long time before he uttered a hoarse voice: "You, you have found a realistic model of the new geometry, this, I see how the stubborn stones of the council can refute it." Master Jiayi, I can't imagine that you have studied more deeply in the new geometry than me, and I thought that I was the only one who agreed with the new geometry. ”

As he spoke, tears suddenly couldn't help flowing, his time to study new geometry was not short, he had been a purple-robed mage for less than 20 years, but in the last ten years, he had almost been studying the content of new geometry, and even the study of magic had been suspended.

The new geometry is not just a parallel line, he also developed the analysis and differentiation part according to this, making the new geometry a truly complete geometry, but these contents are not accepted by people at present.

Rodeori seems to be very strong, but in fact, his inner anguish is unknown, he is very clear about the obstacles and resistance he encounters, and he presses all the loss and depression into a corner. He didn't want anyone to see his own weakness until the new geometry was accepted.

But this layer of thick armor, in front of Kaichi's curved front, was broken in an instant. Finally, there are people who are willing to really dig deeper and agree with their theories, rather than just maintaining superficial politeness.