In the flower-filled villa, Mirina was looking at Lucian's paper on the compatibility of tower geometry with the unit circle and Levsky's geometry, and was once again struck by the beauty of mathematics, and after a long time, she wrote:

"The wonderful conception and concise argumentation fully demonstrate to us the beauty of mathematics, and at the same time prove the compatibility of Levsky's new geometry with the geometry of the tower, irrefutably announce the establishment of the new geometric system, subvert the mathematical world composed of real experience and intuitive understanding, and reveal another path for the development and demonstration of mathematics. ”

"This paper has a very important position in proving the establishment of the new geometric system, and the mathematical ideas contained in it are worthy of our exploration, and it has a certain groundbreakingness, and the establishment of a reward of forty arcane points and five hundred arcane points. ”

Mirina gave the evaluation results in strict accordance with the review criteria, and did not let her preferences play a role, otherwise as an authority in the field of mathematics and physics, a mathematician, she would definitely give a higher evaluation and reward to this kind of paper full of mathematical beauty.

............

At about the same time, Salguero was also reviewing Lucian's "Attempt at a Geometric Interpretation of Non-Towers":

"The paper gives a mathematical model that defies intuitive understanding but is real, and makes a breakthrough contribution to proving the establishment of Levsky geometry, so that we can really realize that this is indeed a new geometric system that is fundamentally different from the geometry of towers. ”

"In view of the groundbreaking contribution of this mathematical model and proof process in the field of neo-geometry, its very important position, and its own content worthy of exploration and research, the establishment of a reward of sixty arcane points. Arcane points six hundred. ”

When he put down the pen, Salgueiro found that the dark winter night had come, and the wind was howling outside, and it was pitch black, but from this cold darkness, he seemed to see a little light, the light of the future development of the field of mathematics and physics.

"If the new geometry had a real arcane meaning......"

"Evans's idea of axiomatization seems to be somewhat interesting......"

............

A week later, in the morning, Samantha went to the tower as usual to study with the teacher.

"Hello, Ms. Samantha. Several low-level arcanists who knew each other saluted Samantha when they saw it.

Inside the hall, the dome is heavily darkened. It is inlaid with magic crystal lamps for lighting. They are distributed according to different galaxies and constellations, like a huge astrological map.

Samantha nodded solemnly but politely, and then said with a slight confusion: "Leo, Gina." What are you doing so early?"

As far as she knew. The teacher of these low-level arcanists. Her friend, Dasella, a fourth-level arcanist and five-ring astrologer, never teaches students on Fridays. At this point in time, the laboratories and libraries in the tower have not yet opened, so there is no need to come so early.

"Lady Samantha, don't you know what to do? Yesterday there was a notice in the tower that a new issue would be released today, and we were all curious, so we came and waited in advance. Gina, who had a cute round face, replied honestly.

Samantha had been out and stargazing day and night for the first two days in order to improve one of her new magic, so she took a leave of absence and did not come to the tower, so naturally she had not heard of it, at this time, her face changed slightly, and she muttered to herself: "The new journal, is it the one with the inscription by Lucien Evans?"

"No, I don't know. Leo, the fat little man who had already been blessed in less than twenty-five, shook his head blankly, and Lady Samantha seemed to know more than she could.

"Hey Samantha, you're also here to buy Nature?" Rachel's brisk and lively greeting came from behind Samantha, she was always so youthful and energetic, giving people a sunny feeling, and people couldn't help but feel better when they saw her.

Samantha showed a rare smile: "You too?" The two have diametrically opposite personalities, but they are very good friends.

Rachel sighed deliberately: "Yes, as a member of the Arcane Review Committee, a high-ranking member of the Tower, my teacher, Lady Isabella, should have been sent directly, but she went out to explore and look for new illusion materials, so I could only buy them myself. ”

In the face of Rachel, Gina and the others were obviously more respectful, firstly, they were not familiar with her, and secondly, Rachel was the winner of the Wizard's Crown, and the crystal-clear hairpin on her flaxen hair now shook their hearts.

"Do you know the content and inscription of Nature?" Samantha asked subconsciously, otherwise Rachel wouldn't have come to the Tower so early, and with her status, she was afraid that she wouldn't be able to buy it?

Rachel looked at Samantha suspiciously: "I don't know what to do, but as the inaugural issue of a periodical, how commemorative and collectible it is, especially since I bought it myself." ”

Samantha "......" discovers that she has forgotten her friend's collecting habits.

At this moment, the tower library behind the reception desk opened, and the two female magic apprentices in charge of the reception brought out several stacks of thick black books from inside.

"Phew, I'll have to see what direction this subsidiary journal of Astrology is heading. Rachel said curiously to Samantha as she walked briskly to the reception desk.

Samantha showed a reminiscing expression: "It should have something to do with mathematics?" This is what her teacher Nesica occasionally mentioned, and when she helped the teacher return the audit results, she had already seen Lucian Evans's new geometry paper, and her mind was swollen by the inexplicable proposition that deviated from common sense, and she subconsciously resisted, almost unable to understand it.

But soon, she was shocked by the mathematical model provided later, and went back to read it carefully, and then on the one hand, she refused to accept it from the bottom of her heart, and on the other hand, she was persuaded by rigorous and self-consistent logic and appropriate models, which made her experience a concussion similar to the shaking of the cognitive world, and she was in a state of confusion and contradiction, and only after two or three days did she recover and begin to accept the fact that the new geometric system did exist.

"Oh, has the Tower finally decided to do a thesis on mathematics and physics?

Magicians like them, who were born in the Tower, have more or less complicated feelings about the field of mathematics and physics.

"Two girls, can you get two new periodicals?" Rachel pulled out her magic badge.

"Ms. Rachel. You don't have to be so polite. After receiving the Wizard's Crown, there were very few people in the Tower who did not know Rachel, and the two young girls hurriedly put the magic badge into the magic circle to deduct arcane points, while handing Rachel and Samantha two new journals.

"It's so thick!" In Rachel's exclamation, the serious and cold Samantha couldn't wait to look at the front of the journal, and the teacher's words made her curious for a whole week!

The cover is modeled after "Arcane", with a dark black background and silver lines outlining mathematical symbols, formulas, theorems, numbers, and special geometric figures, which converge separately, like stars in a dark universe.

"Depicting the true ...... of the world in the language of mathematics" is the meaning that Samantha directly associated with when she saw the cover. She also believes this is the real meaning.

In the starry sky. There is a huge silver-gray word "nature", which is written in a special flower form, and the ten letters are like a wonderful formula.

And underneath nature, there are rows of slightly smaller words:

Next to "Your eyes will trick you ......" happens to be a number in the visible range.

"Your ears will trick you......" is surrounded by numbers that are likewise within the hearing range of the human ear.

"Your experience will deceive you......" is followed by a simple but significant formula in calculus. 0.99999...=1

"Your imagination will also deceive you...... "Underneath it is a saddle-shaped hyperboloid as well as a spherical-like surface.

Look at it line by line. Combined with the deliberately embellished "pattern" next to it. Samantha seemed to understand the profound meaning of these simple words.

Her gaze moved to the back of the archer and saw a concise and powerful sentence:

"But math doesn't!"

This sentence is one size bigger than the previous ones, and there is no pattern next to it. But the mathematical symbols, formulas, and theorems on the entire cover seem to provide evidence for it, highlighting the indescribable shock.

Samantha didn't know what other people were feeling, but she knew very well that she seemed to think a lot and understood a lot, but she didn't seem to think of anything and understood nothing.

Next to the last sentence is a name written in flowers: "Lucien Evans? X”。

"Is this his thinking and opinion on mathematics?" Samantha whispered to herself.

Rachel next to her fell into the same stillness after exclaiming "so thick", at this time, hearing Samantha's whisper, she quickly opened the journal, looked at the speech on the front page, and understood more clearly what Lucian wanted to express, and then quickly skimmed through the back papers, from time to time let out a slight sigh and a sound of consternation.

After a long time, she woke up as if she had woken up from her own world, and sighed, "Is he still human?"

"Levsky geometry, Evans geometry, if you put it in other magical fields, I don't know how many people's heads will be blown up, even if I have seen the proof and model behind it, I can't believe it. ”

Then, she showed a look of admiration and excitement: "But I like his words very, very much!"

The surrounding low-level arcanists such as Gina and Leo also got the journal "Nature", and they were also deeply shocked by the inscription on the cover and the content of the front page, and they couldn't speak. The next four papers on the new geometric system, because of their own standards, only felt dizzy and could not be understood in a hurry, and they planned to concentrate on the study after they returned, and studied them slowly and carefully, just like the textbooks they had studied in the past.

............

“...... Ms. Florentine, Mr. Gaston, my teacher, Mr. Larry, and others are all 'pleased' that you have turned your attention to the realm of mathematics and physics, so that the Arcanists of the Council will be much safer, well, no kidding, they like me and hope that you will not delay in this new geometry realm that has no practical arcane and magical meaning, your talent, your talent should be used in the Elemental Realm, in the realm of atomic structure, and the new geometry matter will be left to the Arcanists of the Tower to continue researching, your friend K. ”

After the publication of the journal Nature, Lucien received many letters, some of them congratulated, some discussed, some invited him to go to the branch to organize lectures, and some friends half congratulated and praised and half persuaded with good intentions. In their eyes, the new geometry, which has no practical arcane and magical significance, is best just a toy for Lucien in his spare time.

"The significance of the new geometry is greater and more terrifying than you think, and the significance of the great development in the field of mathematics and physics is no different. Lucien sighed, put away the letter, and said to Annick, Heidi, Splinter, Katrina and other apprentices waiting outside the door, "Let's go for a walk in the garden, and I'll listen to your recent research results by the way." ”

It's a free-flowing way of communication that Lucien stole from a few physicists on Earth who are good at cultivating talents. (To be continued......)

PS: The remaining two watches are still old time, seven o'clock and half past eleven