As for matrix mechanics, Lucien had only just learned it. Also, he intentionally did not read the files in the Library of the Soul this time but deduced it based on his memory and understanding. Therefore, it was not as smooth and natural as before when he wrote a dozen pages with the help of magic. It was rather difficult for him.
Originally, Lucien could've chosen Dirac's version of quantum mechanics that was simpler, more beautiful, and more in line with the understanding of the arcanists at present, and he could've dealt with it with some of the mathematical tools in the arcana system in the past. However, matrix, which sounded quite fashionable, would have a lot of applications in many fields in the future, and it was best for him to bring it up now. After all, he would present Dirac's paper in two months, freeing the arcanists from the maze of matrices.
In the beginning of the paper, Lucien spent a lot of time constructing the mathematical tool called matrix and explaining its definition and operation. Then, he began the real content of quantum mechanics.
Starting from the equation of motion of electrons, Lucien processed it mathematically. Then, through the enormous and complicated operations of matrices, based on the observable arcana values, he constructed the whole model into something similar to the classic Douglas -Oliver system, except that matrices were used in this system.
In the difficult writing, Lucien gradually grasped the matrix mechanics and gained a deeper understanding of the unfriendly and complicated mathematical tool called matrix. In the meantime, he was deeply interested in the arcana implications that it represented in quantum mechanics.
Time went by. The night outside of the window was getting darker and darker. The ground was covered in a thick layer of snow.
There was no telling how long it had been, but the paper before Lucien was already thick, and he wrote faster and faster, smoother and smoother.
Finally, Lucien raised his hand and drew a heavy period. It marked the end of the main part of the paper and the establishment of quantum mechanics in the real sense! It was no longer a simple combination of half-classical and half-quantum models like the model of the new alchemy in the past!
At this moment, Lucien did not stop but continued to infer the conclusion with the new theory of matrix mechanics. The quantization conditions that had been imposed on electrons in the past were naturally derived with complicated but clear calculations!
Without a sound, Lucien's cognitive world surfaced. The half-solidified world was no longer satisfied with the illusionary changes of the soul. Instead, it filled the library. The high stars illuminated the ground like chandeliers, and the light spots of elements materialized into atomic models. The electrons that moved around the neutrons and protons were like an unreal cloud, sometimes showing the features of waves and sometimes of particles.
Light and shadow floated in the room, reflecting on the snowy ground. It was like the most hideous and bizarre hell. There seemed to be demons roaring madly inside, "Stop! Stop! If we go any further, we'll reach the deepest part of hell! "
"Go on, go on! You will release the most terrifying and unimaginable devil! "The falling snowflakes were like pure white angels.
"It will destroy the entire world! And you, the sinful sorcerer, will have your heart dug out and be dried on a volcano! "
Auditory hallucinations crawled into Lucien's ears, but he did not stop. He continued to infer the result with the matrix and compared it with the data of the spectroscopy experiment, the empirical formula, and the experiments about the new alchemy.
After his cognitive world appeared, the atomic model remained the same. Until the data matched perfectly, Lucien would not change his cognitive world recklessly.
…
The data were generated and matched perfectly with the experiment results!
The formulas were naturally derived and matched with the empirical formula in the past!
The night entered the deepest and darkest moment. The snowflakes were like paper flowers in a funeral, embellishing the feelings of desperation, sorrow, silence, and death. It was chilling and terrifying.
The roars of the devils were more and more miserable. "You are prying into the truth of the world. You will be ripped apart!"
"I will curse you to suffer eternal pain and endless torment!"
The angels also uttered the ultimate threats. "What you open is not the gate of Mountain Paradise but a cage of destruction! Sinner! The world by then will be the opposite of what you imagined! "
"Go to hell! The truth of the world must not be blasphemed! You must not approach it! Damned arcanist, you'll never find what you're looking for! I will draw out your soul and burn it in the fire for ten thousand years! "
Lucien had similar auditory hallucinations for the second time. He did not know whether it was because his mind was shaken, the feedback of the real world, or both. He shook his head, took a deep breath, and continued his deduction. He derived the most critical formula in matrix mechanics that violated the general rules of mathematics:
Momentum multiplied by position was not equal to position multiplied by momentum!
Hardly had the formula, which did not conform to the commutative law of multiplication, been derived when the roars of the devils and the threats of the angels all turned into fearful begging:
"End it. Please tear it apart. It's the key to the gate of destruction!"
"If you stop, you will be remembered as the savior forever."
"As long as you stop, I will satisfy all your demands."
In his cognitive world, the orbital model of the electrons changed again. The electrons in the shape of dark clouds were naturally distributed according to the three quantum numbers. After running randomly for years, they finally had their own arrangement, and the protons and neutrons had corresponding changes, too. It made Lucien's soul and cognitive world, which were not very stable, more solid. The elementary version of the wave-particle duality meditation was finally unified on a higher level!
The boundless, untouchable sky appeared again. Triggered by the strange but familiar power, complicated, obscure magic symbols were generated in Lucien's cognitive world, constituting a weird, unimaginable magic model.
Because his cognitive world was not half-solidified, Lucien controlled the range of influence very well, making it difficult for outsiders to notice. If one looked at Lucien's' Babel 'from the snowy ground, they would see weird lights and shadows shaking inside one of the windows, as if countless devils were dancing.
"… The quantities that do not conform to the commutative law of multiplication are called non-commutative quantities …" Lucien did not stop but continued writing, "… A group of non-commutative quantities are quantities that cannot be determined at the same time. Knowing one of them precisely will lead to the uncertainty of the other. For example, when one fully understands the speed and mass of an electron, one will find that it has lost its trace and position …"
"… After deduction, there are similar quantities, such as time and energy. When the time is very certain and is enough for an instant, energy will expand and fall uncannily, and there will be enormous energy fluctuations in the vacuum … Perhaps, such 'vacuum fluctuations' are happening around us all the time."
"Ahhh!" Miserable screams burst out.
"Wuuu!" Tragic cries rang out.
Hardly had Heisenberg's uncertainty principle been written out by Lucien when the 'devils' and 'angels' became desperate and then disappeared into thin air!
The darkness was still the same, and the snow was still the same, but the snowflakes that were as white as paper had stopped dancing!
In Lucien's cognitive world, the weird magic model had been successfully constructed. It was obviously a new legendary spell. Based on his intuition, Lucien believed that the spell based on quantum mechanics and the uncertainty principle was very weird. It seemed to contain the air of undermining determinism, or rather, the law of causality and the fatalism that the arcanists of this world believed in.
Looking at the deduction result that fit the experiment data and the empirical formula perfectly, Lucien closed his eyes. What was the difference between the two worlds?
Why did one world have souls and magic but the other world did not?
He had auditory hallucinations twice. The first time was when he derived Planck's constant, which was the beginning of quantum mechanics, and the second time was when quantum mechanics was really established. Was that the reason for everything? The first time, he might have been emotionally unstable, but this time, he seemed to be quite calm.
Lucien had read the books on the development of quantum mechanics in the Library of the Soul. He had some understanding of the theories that were more magical than magic, more mythical than myth, and more fantastical than fantasy. He believed that he could find the explanation that he wanted from that path.
"I have to take a look at the Furnace of Souls. Maybe I can discover the mysteries of souls there and figure out the reason why the two worlds are different." Lucien took a deep breath and made up his mind about the trip to the World of Souls. If he could not figure out the secret, he would never be reassured. He would suspect that the world was unreal and that somebody was manipulating everything. Other people might lead a befuddled life, but he would rather die than live like that!
Of course, Lucien was not a reckless man. He would not go to the Temple of Spirits recklessly until he reached level two of legendary, unless he was led by President Douglas and other grand arcanists at the peak of legendary.
Putting his thoughts aside for now, Lucien extracted the parts related to the uncertainty principle and put them into the inner layer of the Robe of Grand Arcanists. He also removed some of the proofs that matched the experiment data and empirical formulas for the arcanists to complete. If what they inferred from the theory matched the experiment results, it would be easier for them to accept the theory.
After sorting the paper and putting it into his storage bag, Lucien realized that it was already past six in the morning, and it was still deep darkness outside.
"It's almost dawn without me knowing it …" Lucien walked to the window with his hands in the pockets of his black suit. Looking at the cold, dark night and the boundless snow that reflected the dim light, he remarked in a low voice, "The night before dawn is indeed the deepest and heaviest."
Hardly had he concluded his sentence when a spot of orange light far away broke the thick darkness and drove away the coldness in his heart.
The sun rose slowly, and the brilliant light that it shed dyed the snow red, as if it were a furiously burning fire. It was splendid and dreamy.
The white snow began to melt and thaw the world, as if the 'fire' had burned up the old and brought a new order.
The magnificent fire spread to the horizon in front of Lucien's eyes. Lucien squinted his eyes and murmured to himself, "That's right.
"Dawn has arrived."
Yes, the dawn of the new alchemy had arrived!
Like the sun, it would be unstoppable and illuminate the entire era with light and heat!
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