Inside Fernando's study.
When Lucien wrote down Planck's formula in a beautiful font, the Lord of Storm finished verifying the data within a short time.
"Both the long-wave and the short-wave are consistent with the experiment data. At least for now, it's a correct formula," Fernando nodded. "But we'd better do a few more experiments to make sure that it's correct."
After being troubled by the two formulas that could only be used in half of the field for two weeks, Fernando felt that his bad mood was about to explode. Therefore, when he saw Lucien's formula that was temporarily perfect, he did not care about anything else. He just wanted to verify the formula as soon as possible so that he could throw the two damn formulas away!
Ever since he started learning from Fernando, it was the first time that Lucien started an experiment without reading a letter.
Although the speed of a grand arcanist's experiment was much faster than that of a common sorcerer, it was already noon when Lucien completely verified the formula with the data.
"The formula is deduced in this way …" Fernando was satisfied and relaxed, and then he said in a frivolous way, "Lucien, sometimes you can't think too much. Don't hesitate when you're in love."
How did the two topics connect? Lucien was not used to Fernando's leaps and bounds. Fernando's leaps and bounds were more quantum than quantum. Also, his teacher seemed to be single. Although Fernando's theory on love sounded reasonable, it might not be effective in practice.
"Sir, now that we've got the formula, should we write a letter to Mr. Douglas and tell them about it?" Lucien ignored Fernando's capricious topic and tried to divert his attention to the formula.
Fernando nodded happily, "Of course. I'm sure that they've been troubled by the two formulas for a long time. I didn't expect that it was my student who came up with them first. However … "
Within a second, Fernando changed from a frivolous old man to a serious and irritable Lord of Storm, "Since the formula is correct, it means that there's a deep law behind it that reveals the nature of heat radiation. Otherwise, it's impossible for it to be correct! We can't stop at the formula itself. We have to find out what it means. "
Although his tone was a little impatient, Lucien could feel his eagerness to try. This was the impulse to explore the unknown and the nature of the world.
"Then, should we write to Sir Douglas and the others?" Lucien's plan was to let the grand arcanists familiarize themselves with the formula so that they could gradually accept it.
Fernando walked back to the desk and said without raising his head, "Write to them and let them participate in this discussion. I have a feeling that this will be a difficult task. Right, write a paper about how you came up with the formula and submit it to the Board of Review together with mine and Douglas' paper. Then, submit it to Arcana and publish it so that the arcanists can see the experiment and the derivation of the formula. "
"If we can figure out the real meaning of this formula before the next issue of Arcana is released, we can publish it together so that arcanists can understand the nature of heat radiation and improve the magic in this field. If we can't, I hope that their discussion after reading Arcana can bring us some inspiration." Lucien nodded.
Lucien hurriedly wrote down the formula in separate letters and handed them to the six grand arcanists. Then, he started to discuss the problem behind the formula with Fernando.
During the discussion, Lucien was quite troubled, because it was not the right time to introduce the correct explanation. He had to throw it out when all the other ways failed. Therefore, Lucien had to try his best to cover up the truth in other fields such as heat and electromagnetism so that he would not expose the secret.
It was very difficult and painful to pretend in front of the grand arcanists. Luckily, the Lord of Storm was focusing most of his attention on the formula and did not know that Lucien already knew the real meaning of the formula. Therefore, Lucien was able to relax a bit and learn from the discussion with the grand arcanists.
Soon, it was noon. When Fernando signaled Lucien that he could leave, he suddenly said, "Lucien, you've reached the fifth circle, haven't you?"
"Yes, sir." Lucien was a bit surprised. He had just made the breakthrough last night, and the Lord of Storm had already seen through him today?
Fernando smiled humorously, "When you were doing the experiment, your spiritual power has completely reached the fifth circle. Also, I can roughly judge your ability in arcana theory and magic analysis. So, unless you're lazy, you'll definitely reach the fifth circle in one or two weeks. Since you've already made the breakthrough and your performance is much better than Thompson and Chloe's, you can bring me the application of the Atom Institution tomorrow. I'll write a review and sign it. "
"Thank you, sir." Lucien thought that it would take one or two weeks until the discussion on the formula of heat radiation was over. He did not expect that he could get the review so soon. He was quite surprised.
…
The next day.
"The Improvement of Fernando's Formula and Douglas's Formula in Heat Radiation." After Fernando finished the review and signed his name, he picked up the paper that Lucien was going to submit together with him and read the title slowly. It was rare for Fernando to smile when discussing arcana, "This formula will be called Evans's Formula of Black-Body Radiation, and the constant in it will also be named as Evans's Constant. No matter whether you have any major achievements in the future, your name will be remembered by countless sorcerers together with this constant and formula."
In the view of the Congress of Magic, the periodic table of elements was a summation, not a formula, a constant, a theorem, or a system of units. Therefore, Lucien's surname was not added in front of the periodic table of elements.
"The meaning of this constant is far from what you're thinking now, sir." Lucien sighed in his heart and put away the application and the paper. Then, he opened Douglas's letter and read it out as he had been doing in the past half month.
"… I'm glad to see that you and your student Lucien have solved the problem that has been bothering me for many days. I'm not in the mood to do the experiment that we talked about earlier … Please congratulate Lucien Evans on my behalf. Maybe only a young man like him can make a decision that does not take any practical arcana significance into consideration and directly use mathematical methods to piece together the formula. He is like an untainted diamond, blooming with pure light … "
"… Now that the formula is out, we should calm down and think about why it's correct, instead of the two formulas that we've deduced before. I'm sure that there must be a law behind this formula that we haven't discovered yet, which makes the formula consistent with the essence of heat radiation. But what is it? There must be a hidden law behind everything that seems to be a coincidence. We should not stay on the surface and be intoxicated by the result that we've already achieved. Instead, we should explore deeper and ask a few more whys … "
"… I believe that we'll eventually understand the real meaning of this formula and grasp the essence and law of heat radiation. Then we'll be one step closer to the truth of the world …"
"It's indeed 'a hundred thousand whys'." Fernando joked again.
The letters from Bricker, Hathaway, Oliver, Hellen, Vicente, and other grand arcanists were almost the same as Douglas'. They were all discussing the reason behind the formula.
…
Three days later, in the morning.
"… Based on the evaluation of the two councilors, Mr. Lucien Evans' formula has completely solved the shortcoming that the two formulas of black-body radiation are only suitable for long-wave radiation and short-wave radiation respectively. It is a formula that can be popularized and applied. According to the naming rules of the Congress of Magic, the formula is now named Evans' formula for black-body radiation, and the constant in the formula is Evans' constant."
"However, the formula is purely mathematically based, and the arcana theory in the field of thermodynamics has not been found yet, and there is no analysis of the meaning of the formula. Therefore, twenty-five arcana credits and two hundred arcana points are awarded."
Reading the documents that Carleena sent to his home, Lucien was very happy. The reward given by the Congress of Magic was much better than most of the papers that did not have the second-level evaluation. However, this was not the point. The most important thing was the citation credits! Unlike the basic data such as atomic weight, he did not have to share them with others. The validity period of the credits was three years!
As for the application of Atom Institution, the review process was very long, and it would take at least one to two weeks for the result to come out.
Putting down the documents, Lucien was enjoying his breakfast when he opened the letter from Harrison.
"… The publication of 'Arcana' has caused a great sensation among all the sorcerers. Almost every sorcerer I met was discussing the 'arcana significance' of illusion. It seems that Isabella's research has completely defeated the previous theories of illusion. That's hilarious! Her little guy's' hormone 'is only suitable for a small portion of illusions! "
"… This kind of atmosphere has put a lot of pressure on the Family of Sorcerer. In order to ensure the honor and credibility of the Laurel, after the discussion among all the senior-rank sorcerers, they have decided to give the Laurel to Isabella four days later, on Monday …"
"… It's a pity that my suggestion to share the laurel with you was rejected. They don't agree with your brainwave theory. To be more precise, they think it's not perfect yet. I'm sure you'll work harder on your brainwave theory. I hope that one day you'll win the laurel and become the second middle-rank sorcerer to win the highest honor in a different field …"
"… The ceremony will be held in the headquarter of the Family of Sorcerer. If you have time, Evans, you can come and watch the ceremony …"
"It has been decided that Ms. Isabella will be given the Laurel." Lucien put down the letter and said casually.
"What?" Sprint was a bit confused. He did not understand what Lucien meant.
Lucien did not repeat himself. He stood up with a smile and went to the headquarter of the Congress of Sorcerer. It was time to put forward his opinion!
…
After a few days of intense discussion, Fernando was still unable to dissect the meaning behind the formula. This made him almost turn into a storm again, and he often flew into a rage.
"Mr. Fernando, I have a suggestion." Lucien looked at Fernando seriously.
Fernando was more surprised than anxious and irritable. He asked confusedly, "What suggestion?"
Because of his personality, when he was teaching students, no matter whether it was Thompson, Ashikana, Cole, or Alferris, none of them dared to face him directly, not to mention giving a suggestion like Lucien did. That was why Fernando was so surprised.
"I think that we should introduce Cole's new thermodynamic molecular motion system into the analysis of the formula. His description of entropy and probability from the statistical point of view seems to be helpful to solve the problem we are facing. It has brought me some inspiration." Lucien always felt that he was slowly opening the Pandora's Box.
The knowledge in this field existed more than ten years ago. It was the result of Cole's Ice and Snow Medal. However, Cole had sorted out the knowledge from the beginning to the end and made it into a preliminary system.
It did not take long for Fernando to agree with Lucien, "Since we can't explain anything else, let's start from entropy and probability."
Lucien and Fernando soon started to work on the problem. Also, Douglas, Brook, Hathaway, and other grand arcanists were writing to each other. The difficulties were overcome one after another, and the meaning of the whole formula was about to surface.
…
In Cocus, the capital of Calais, a black magic tower stood in a corner of the city that was covered in fog all year round.
Many carriages with different decorations slowly drove to the front of the magic tower, and guests were led into the banquet hall one after another.
"Welcome, Ms. Isabella, Mr. Drummond." Adalbert Von Miller, the president of Family of Sorcerer, a level seven arcanist and a ninth-circle archmage, greeted Isabella who just got off the carriage with a smile.
Many people in the hall looked at them. Most of them were excellent sorcerers, and some of them were important figures like members of the committee.
For a moment, Isabella, who was well-dressed, was covered in starlight.
…
On the thirty-third floor of the magic tower in Allyn, in an ordinary-looking study.
Fernando and Lucien's work was coming to an end. The rules and meaning of the whole formula were about to be revealed. The other grand arcanists were all waiting for Fernando's letter in their own Demiplane magic towers. They all had their own arcana and magic research to do, and their progress was much slower than Fernando and Lucien.
Lucien, who already knew the conclusion, couldn't help but sweat again.
…
In the banquet hall of the headquarter of Family of Sorcerer, guests were gathered in groups of twos and threes, talking about Isabella, illusion, arcana, and the development of arcana and magic. The ancient sorcerer costumes and the modern style of the banquet were mixed together, showing a long history and vigorous vitality.
The hall was lit in orange, soft and warm, and everybody was "plated" with a layer of golden color.
In such an atmosphere, Von Miller stepped onto the half-high platform in the front. The discussion gradually died down, and he politely invited Isabella and Rachel to come up.
The maid behind him was holding a silver sorcerer's plate, on which there were two laurels that looked like they were woven out of crystal. They were so crystal clear, and the magic runes and structures flowing inside the crystal could be vaguely seen. They were more like works of art than magic items.
Isabella's paper was co-signed with Rachel, and she thanked Rachel for her help and inspiration in the long-term experiment. Therefore, after the verification by Family of Sorcerer, they decided to share the laurels together.
However, in the eyes of all sorcerers, even Rachel herself, it was natural that Isabella was the main character today.
"… Since Ms. Isabella and her student, Ms. Rachel, discovered and collected hormones through experiments and verified their application in illusion, the Family of Sorcerer and the Calais Magic Court have decided to award them the Sorcerer Laurels in recognition of their outstanding contributions in the field of illusion …"
The two laurels were put on by Von Miller on the hair of the two ladies. They were so dazzling, just like their glory in the field of illusion.
As expected, the audience applauded. The arcanists who came to watch the ceremony were more or less excited, while the sorcerers had to follow with mixed feelings. Some of them were dissatisfied, some felt frustrated, and some admired.
… …
After a few days of hard work, the complete analysis of the formula of black-body radiation was presented in front of Fernando and Lucien.
This was a "scene" that he had never expected before!
Fernando suppressed his anger and a bit of fear and asked, "Lucien, in order for the formula to work, we have to assume that the absorption and emission of energy are not continuous, but part by part, right?"
Fernando felt as if he was facing the terrifying God of Truth when he said those words that didn't seem strange at all.
"Yes, sir." Lucien also felt the pressure, but his answer was heavy and firm, calm and powerful.
… …
Wearing a beautiful laurel, Isabella was giving a short speech to all the guests in the hall.
"… In the ancient magic empire, due to the lack of powerful mathematical tools to deal with irregular patterns, the construction of magic models and the analysis of magic were greatly hindered. We could only rely on the growth of our spiritual power to complete the construction of magic models that should have been easy …
"All this ended when President Douglas founded calculus. With the improvement of the several grand arcanists, we now have powerful mathematical tools that can help us calculate and construct irregular magic models more easily …
"It's safe to say that calculus is the foundation of our arcana system. The division and infinitesimal analysis based on continuity and smoothness bring us infinitely close to the real world. From that point of view, the mathematical tool itself contains the main idea of arcana theory, which is that it matches the real world. Its continuity is inherited from the coastline, the boundary of the farmland, the wind, the waves, the flowing water, and the continuity of time … "
"On this basis, President Douglas' theory on force field and Mr. Brook's theories on electromagnetism and light and darkness constitute the main framework of the world of arcana. However, it's a pity that we still can't find a way to integrate illusion, transformation, and summoning into the arcana system …"
The so-called continuity meant that the development of things was uninterrupted, just like the flowing rivers that we saw with our eyes and the roads that we walked on. They wouldn't jump forward one section after another, just like on a thermometer, when one degree Celsius rose to two degrees Celsius, there had to be one point one, one point two … It wouldn't jump from one to two without a complete blank in the middle.
… …
Hearing Lucien's answer, Fernando suddenly roared, "Are you trying to tell me that the energy is indeed discontinuous? And that the real world based on this foundation is also discontinuous? "
"Look at that howling wind. Could it be that it's not continuous and is moving forward in leaps?"
"Feel the time around you. Is it discontinuous, too? From one second to two seconds, it doesn't need one point one, one point two seconds? "
"What a ridiculous idea! What a ridiculous idea! "
Facing the Lord of Storm's roar, Lucien raised his head and looked straight into the Lord of Storm's eyes. There was no fear in his eyes, "Master, if you want the formula to work, you have to assume that the energy comes in portions."
Lucien's back was straighter and straighter, and the words that came out of his mouth were as cold as ice.
"Maybe, this world is discontinuous!"
… …
"This is a beautiful era. Everyone who has devoted themselves to the world of magic has contributed to the perfection of the arcana system. I'm just one of the luckier ones."
Rumble!
As soon as Isabella finished her speech, the terrible thunder came from outside. The storm in the summer came without any warning.
The thunder was so loud that the sorcerers in the hall felt their hearts palpitating.
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