Throne of Magical Arcana

Chapter 655 Determinism (recommendation ticket requested)

Dong dong dong, Fernando in the study heard a gentle knock on the door.

"So early?" Fernando stared at Lucien with slightly cloudy red eyes, and suddenly became subconsciously vigilant and guarded against his abnormality.

Lucien lowered his head and smiled: "After finishing the thesis, it was just before the sun rose, so I came here directly."

"What thesis?" Fernando had an even more dangerous premonition. This did not come from the main star of fate, but the "crystallization of wisdom" condensed from the same situation many times. "Is it subversive?"

Lucien thought for a while and nodded affirmatively: "Yes, but it is only based on the observation of a large number of experimental results, and there is no strict proof. It cannot be ruled out that it will be overturned or covered by other theories that include these observations in the future."

"Bring it." Fernando heaved a sigh of relief. In this way, before there is no conclusive evidence to prove it, no matter how subversive the theory is, he will not be able to blow his head off.

Lucien took out a paper and handed it over. When Fernando saw the topic, his expression immediately turned bad.

""Probabilistic Interpretation of the Wave Function"." He read out the title of the paper word by word, and vaguely guessed the content. During this period of time, a large number of electron scattering, diffraction and other experiments he did seemed to show that The reality that Oliver's interpretation of the wave function cannot be consistent with some experimental results seems to be explaining something.

Opening the thesis, Fernando read it without saying a word. The surrounding atmosphere became more and more oppressive, as if a real storm was about to come.

Suddenly, he raised his head before finishing the thesis, countless lightning flashes in his red eyes, and he said dangerously: "You mean that the wave function is not a wave in the normal sense, but a probability wave?"

Lucien met the teacher's dangerous gaze without fear: "Yes, through the observation of a large number of experimental results, and by introducing the content of Chloe statistics in the field of molecular motion, we can describe the wave function in this way, which represents the appearance of electrons. probability of being at a certain position in space."

Fernando seemed to be suppressing his great anger: "Then it has a definite position on the receiving sensor screen, the probability is 100%!"

There is no doubt about it. Every Arcanist has seen the fluorescent spots excited by the electrons emitted to the sensor screen. This is a conclusive experimental phenomenon, indicating that the position of the electrons is definite and certain.

Lucien could understand the teacher's mood, and said seriously: "For example, when we toss a coin without knowing the additional conditions, we can only say that it has a certain possibility of heads during the whole process, but when it After falling to the ground, the result has already been determined, and there will be no change, the probability is naturally 100%, we are talking about the electrons before observation, not the electrons whose results have been determined after observation.”

Having said that, Fernando understood it better, and his mood eased a little, and he grasped the point: "Before observation? After observation? Then before we observe, according to your interpretation, electrons may appear in any position in space, just Some places are more likely to appear?"

He couldn't imagine the existence of electrons at all!

For coins, Fernando can accept them without any hindrance. Its front and back are constantly changing, which makes it possible to land in different ways. But for electrons, since the wave function describes the probability of a spatial position, it can appear anywhere Possibly, doesn't that mean that it could be here and there at the same moment, it could be everywhere?

This is more absurd than any magic, unbelievable!

At least so far, except for the unknown god-like level, no magician can create such magic and let himself exist in a similar state!

Lucien made a metaphor: "Before observation, electrons are like a group of illusory clouds without substance. They pervade space and are everywhere. They are all possible superposition states. The thicker part is where it appears. It is a location with a relatively high probability, but it does not mean that it will definitely appear here after observation.”

"Before observation, electrons are things we can't imagine. They are contradictory and unified monsters with wave-particle duality. Therefore, we cannot use the original concept to imagine its state. This is meaningless. We can only learn from what we can Strictly verified experimental results to describe."

Fernando tightly closed his lips, as if he would growl if he opened his mouth.

Lucien further said: "Actually, teacher, you should have already observed through magic experiments. When we improve the magic circle and reduce the number of electrons emitted at one time, we can see that the first thing to appear is not a diffraction image, but a messy one. Electron-sensing light spots gradually form diffraction images as the number of electrons increases, why?"

"This is because it is impossible to know exactly where a single electron appears after diffraction. It is a probability. We can only describe that it is more likely to appear here, so a small number of electrons will appear in a chaotic state, but after a large enough number, the overall It conforms to the probability distribution, some places have more electrons, and some places have less electrons, so the light and dark are intermingled, and a diffraction image appears."

"Just like when we toss a coin seven or eight times, we can't accurately guess in advance how many times the coin will be heads, but when the number of tosses reaches hundreds, thousands, or tens of thousands, the number of heads should be in half. about!"

"If we can one day improve the magic circle to emit only one electron at a time, things will be much clearer."

"Probability, probability!" Fernando's expression was distorted, as if he wanted to eat the probability.

He didn't need Lucien to explain the common sense of probability to himself. As an authority on thermodynamics, this is one of the fields he knows best. Sean said that before there are not enough electrons, the light spots are chaotic.

Such a clear picture made his hands tremble slightly, and the surrounding wind blew, rattling the paper in the study: "Before observation, electrons are probability clouds that permeate the space? After observation, does it have certain The matter of the location? What happened in between?"

Lucien turned a blind eye to the gust of wind, and was as calm as the god of death who pronounced the verdict: "The wave function collapsed, and the diffuse probability cloud collapsed into a small point with a definite position. Observation caused the wave function to collapse. Before the observation, what exactly was the electron? What form, has nothing to do with us, it has no meaning!"

"Observation caused the wave function to collapse?" Pa, a bolt of lightning illuminated the study, destroying a statue. Fernando stood up abruptly and looked at Lucien aggressively. "Our observation made the electron change its shape?"

Lucien nodded and said: "Teacher, what is the basis of our observation methods? We see things because of the reflected light, and hear sounds because of the ripples in the air. In the microscopic field, even the slightest observation method, For example, photons can also disturb electrons, that is to say, our observation of microscopic particles will inevitably lead to its changes."

"Interaction of microscopic particles?" Fernando's face became a little better, and he probably understood why the observation would cause the wave function to collapse. As for the incomprehensible and unimaginable things like the "probability cloud" before, he decided to ignore it for the time being and point directly to it. The core of Lucien's interpretation of probability, "In the activity of tossing a coin, we can strictly predict the result of each time by knowing various external conditions. Therefore, it is not a real probability, but a false probability. Where there is a cause, there is an effect. The initial state strictly and uniquely determines the final result, which is the foundation of the astrology system and the foundation of the entire arcane and magic!"

"The probabilities exhibited by electrons are also pseudo-probability, which are affected by external conditions that we have not yet discovered?"

His voice trembled slightly, and there were more and more signs that the storm was about to start in the study.

Lucien shook his head resolutely: "At least there is no phenomenon that shows the influence of external conditions. For the time being, we can only say that the probability wave is the essential property of electrons, an intrinsic property!"

"Say it again!" Fernando finally roared, and lightning and thunder appeared, creating a doomsday-like scene in the study.

The reason why arcane and magic are fascinating, and the reason why generations of magicians and arcanists have devoted their youth, talent and life to exploring the reality of the world is because they believe that the world has an essential law, and all things are governed by this law For example, the sun rises in the east and sets in the west, such as the movement of celestial bodies, such as the wind and rain, such as the growth of organisms, such as the reaction of elements, such as the mysteries of matter, such as the atomic structure, and as long as you understand the laws of nature, you can actually Master them all!

But now, Lucien's interpretation of probability seems to be mocking this kind of exploration, because the essential law of the world is actually "probability"? Even if we understand more laws of the world and reach the limit of life, we can only predict the maximum possibility that electrons will appear here, but cannot accurately describe where they will appear.

This negates the basis of the astrology prophecy! It also negates the basis of arcane and magic to explore the laws of the world!

Lucien pointed at the paper and looked at the roaring teacher solemnly. Due to the crackling of lightning, the elemental skin on his body had been naturally activated: "There are related explanations in the paper."

Fernando lowered his head and saw a paragraph in the paper:

"In the past, all of us believed that as long as we knew all the current factors, we could strictly deduce or determine the outcome of things. Whatever the cause, there would be the outcome. Such a process is reversible, and That is to say, whatever the result, there is a reason, and arcanists call this determinism, the law of causality."

"I like a stricter definition. The real law of causality is the law of causality on the timeline. The cause must precede the effect, so the previous generalized law of causality is best called determinism."

"And now, what I want to explain is that there may be a problem with determinism here, and some processes are probabilistic and irreversible..."

"Is there a problem with determinism? Is there a problem with the law of causality?" Fernando looked at Lucien with stormy eyes, and roared amidst the roar of thunder, "Tell me, is the sun's trajectory a probability?"

Boom!

"Tell me, is our own existence a probability?"

Boom!

"Tell me, even if we have built a magic spell model in our soul and fully mastered every detail of it, and our mental power is in a state of abundance, the process of casting magic is also a process of fighting chance?"

"Ridiculous! Ridiculous!"

Rumble!

Amidst bursts of thunder and lightning, there is a vast universe behind Lucien. The planets inside are composed of protons and neutrons of different colors, and the satellites surrounding them permeate the space and are everywhere. , but when you look carefully, they are determined to be at one point.

Rumble!

The thunder hell and the atomic universe are mixed together. Lucien looked at his teacher Fernando without flinching, and said solemnly:

"At least in the microscopic field, determinism must die!"

Pa, a thick bolt of lightning flashed across the study window and spread to the sky outside.

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