"In a word, 'Every man is the king of his own kingdom.'"

This ancient but meaningless sentence has really become a proverb with the establishment of the school city.。 If we judge the timeliness of Proverbs, it will be too much of a failure. But there is no doubt that the school city itself is built on this ancient proverb. And the 'personal reality' of superpowers is the expression of this motto.

If every man were a kingdom, the activity of the mind would undoubtedly flow within the kingdom like trade. As a reflection of the mind, ability is similar to the equivalent of trade, and the metaphor of money is indeed very appropriate.

"Everyone's kingdom is closed, just as there is a gap between people's hearts. The human mind cannot circulate without distortion, nor can personal reality, and the written word, as a recording symbol, is not up to this task. In the same way, "ability" as money cannot be used universally. In the realm of the mighty, this is proven, and it is only a retelling of Plato's millennia ago conclusion that 'the result of your invention will be forgotten by those who have learned to write, because they no longer strive to memorize.' They trust words and recognize them only by external symbols, not by internal mental recall. Therefore, the medicine you invented can only be recognized by doctors, not memories. As for education, what you give your students is only an imitation of the real world, not the real world itself. ’

The existence of an ability in the field of competence that can be 'carried forward', which means that pure thinking is possible to communicate is an earth-shattering assumption.

School City has been immersed in this subject for a long time, at least dating back to before I dated your father. Don't get me wrong, I'm not good at that. The reason why such a guess can be made is only because Alice completed this theory a long time ago. So for me, this is just the knowledge of the past. From your father's point of view, perhaps I hope that Salt is a real example. That way, he would at least be able to comfort Alice's spirit in heaven. ”

Just as the Umihara siblings always had the impression of their mother, Mrs. Umihara is particularly fond of using history as a way to enter the narrative and finally draw her own conclusions. Probably because of her bad fault as a historian, sometimes she even traces a topic all the way back to ancient Greece or even ancient Babylon, which always makes the listener feel a little troubled.

Dome turned his head away, not knowing which part of his mother's words he was attracted to, and his brother pondered intently. It was like picking up something extremely important in my mother's words.

For Dome Nai, there is also something about her mother's words that she cares about. At the end of those words, Mrs. Kaihara mentioned a name that made people care.

Alice. How many times have you heard this name today?

At the mention of the name, the mother smiled softly as usual. At the same time, it also made Dome have a thought. The idea was not only hasty, but also not very suitable for her status as a "daughter". But all of a sudden, it immediately became unstoppable.

“…… That, Mother-sama......"

Dome said cautiously. She noticed that the moment she spoke, her mother's smile seemed to grow thicker.

"Well, what's the matter?"

"Excuse me, who is Alice, whom you have been mentioning?"

As if she had expected her to ask, Lady Kaihara closed her eyes and tilted her head slightly to the side.

"She's a mutual friend of mine and your father, but you won't be satisfied with such an answer, will you? Then the same can be said in a word. ”

After a few seconds, he replied as if he were singing—

"If you ask who is your father's favorite person in this world, it should be me." With her chest puffed up and her plump chest full of feminine charm, the young wife and the young mother replied to her daughter with pride and emotion.

Dome looked away a little embarrassed. The mother was so unabashedly showing off her father's love for her like a newly-dated couple, that even as a daughter, she felt quite embarrassed to hear it. She quietly turned her head to look at her brother, and Mitsuki Haihara didn't seem to notice her mother's words at all, still thinking about something.

Then, it was as if the mother had made a natural turn.

"But if I were to ask who in the world loved your father the most, if I had to answer, it would be Alice."

I just felt as if the air was inadvertently stagnant. Even Mitsuki Haihara, who had been thinking about something, couldn't help but feel a little stiff when he heard this.

How incomprehensible this is.

What is incomprehensible is not only the true meaning of the mother's words, but also the nostalgia of the mother when she talks about this topic without a trace of evil.

Mitsuki Haihara gently squeezed his sister's soft palm and motioned for him to take the lead in the matter. Just as Dome suddenly got together with the name "Alice", he inevitably cared about what was behind the name.

Mother seemed to have said just now, and that was a theory completed by Alice a long time ago......

"Is that Alice, famous? What is her research topic? ”

It's hard for Mitsuki Umihara to imagine that someone as capable as Yanbi would have made a prediction in the distant past. If this is true, the story behind it would seem too long. Since he didn't want his sister to know about his suspicions, he used a way of asking questions that wouldn't go unnoticed by his sister.

Actually, your father is more qualified to answer this question. Alice's dedication to her research was only due to a joke by your father. ”

"Father?"

"Well, that's right. Your father made a joke on her - 'I wonder if you can get in touch with your Bob without being heard by Eve?' (Note 1). In my opinion, she devoted herself to the study of cryptography only because of your father's words. ”

The mother, who said this, took out another piece of white paper from her bag and wrote on it with a quill pen.

That's some very simple text, very simple composition:

Source -> Message -> Transmitter -> Signal -> Space -> Received Signal -> Receiver -> Message -> Message-> Message-> Message

After writing this formula-like formula, Mrs. Kaihara thought about it and added an arrow below the "space" to mark the word "noise".

This is the model that Alice completed in the process of studying cryptographic information, modeled after Claude Shannon's communication theory. Alice labels the source in this model as 'mind', the message as 'personal reality', and the transmitter as 'the efficacy of ability development'. And the signal, of course, is also 'ability'. The first half is the essence of superpower development, which is undoubtedly informational, which is in line with our understanding of capabilities and the world - the world is information, and will only be information. Alice's contribution lies in the logical hypothesis that since the process of superpower can be equated with Shannon's model, it should naturally have a corresponding second half. That is to say, just like communication, it is entirely possible to approximate the ability on another point. ”

Understanding this concept is definitely not difficult for the Kaihara siblings. But precisely because it is so easy to understand, they can't help but look at each other.

Alice went so far as to say that there should be a second half of superpowers as a matter of course?

"Think it's weird?" Mrs. Kaihara smiled, "Indeed, the thinking is different, and the individual reality is also different. But as Claude Shannon has long demonstrated: 'Messages often have meaning. That is, they point to or associate with specific entities according to a certain system. But these semantic factors of communication have nothing to do with its engineering problems'. To repeat this phrase with Alice's substitution model, that is, 'individual realities have meaning, and they point to and relate to different people.' However, this correlation has nothing to do with the composition of the capability'. In fact, Alice even uses a method similar to Shannon's calculation of the amount of information in language and images, and treats abilities as a random process as well, and realistically calculates the amount of information contained in each 'ability', regardless of the ability itself. It sounds incredible, but it's not unimaginable when you think about it. Tell me how much computing power the universe itself has. ”

"Huh?"

After hearing her mother's question, Dome let out a rather cute surprised sound. It didn't seem like she was expecting to suddenly have to face such a problem.

Some scratched their cheeks in embarrassment, then looked upwards as if they were thinking.

The subject of the universe can be said to be her home field, and at a certain level, it can even be said that even her ability is the result of observing the universe on a large scale.

However, although the study of gravity itself is the process of looking up at the universe on the largest scale, it does not address this issue. Even though the Black Hole Thermodynamics Society deals with the throughput of information by black holes, it does not delve too deeply into this path.

"I'm sorry, I don't know."

Dome replied with a sincere bow.

"It's okay, it's a bit off-the-beaten." Mrs. Umihara touched her daughter's head as a comforter, and then continued, "The basis is different, and the conclusion is not exactly the same. However, the computing power of the universe is generally considered to be no more than 10^120 basic logic operations on 10^90 bits. You see, even the computing power of the universe itself can be calculated in bits, and it is not surprising that the power is processed as information.

In fact, even human beings themselves are capable of being counted in this way. The human body contains about 150 grams of DNA genetic material, which is equivalent to 3X10^23 bases. For each side strand of a single strand of DNA, any one of A**C can be taken, so the 3X10^23 bases have 4^3x10^23 arrangements. From this, the amount of information contained in human DNA is I=Log2W=6X10^23 bits.

Alice did the same thing.

"Everything starts with bits (It_from_Bit), and so does ability. The outcome is determined by observations, which is the principle of uncertainty in quantum mechanics that underlies superpowers. The observer is not only observing, but also creating. And this kind of creation must ultimately be represented in discrete bits.

"We need to understand quantum mechanics, we need to understand superposition, we need to understand quantum entanglement, and that may only be possible in the form of bits. When particles act at a ghostly distance, they process information and exchange bits. Everything is all about exchanging bits on different levels. Even the four fundamental forces are no exception. The laws of physics, on the other hand, are the algorithms used to process information.

"By extension, it is not surprising or even taken for granted that competence is 'carryed over into common information'. If you think about it, from a certain point of view, human beings have long lived in the 'cloud' of information. Just as medieval currency was carried over through Byzantine gold coins, it was like notes issued by the Knights Templar. Whether you realize it or not, the carryover exchange of information has long been an integral part of human beings as a whole, and it is a link that naturally exists in the unconscious of human groups. So it is also natural that there is no reason for the consciousness of the individual, the reality of the individual, to be exceptional. According to Alice's correspondence theory, I am afraid that the salt is the physical manifestation of this carryover, the embodiment of the exchange of personal reality information between capable people. ”

Looking at the formula she had written, the smile that Mrs. Kaihara had been wearing gradually faded, and she was even a little sad.

Every time she wrote it, she felt as if she had seen Alice again.

However, that was twenty years ago.

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Note 1: In all cryptography studies, three participants are used to build a scenario model. The three participants are named "Alice", "Bob", and "Eve". Among them, Alice is the sender, Bob is the receiver, and Eve is the potential eavesdropper. Alice and Bob are often set as a couple or couple, and Eve is a junior. This also gave birth to the term "monogamous" in quantum information transfer, which is an important concept in quantum communication.

If you know anything about this, I'm afraid you will think that Mr. Kaihara's joke has gone too far. Making this joke on a girl who has a good impression of herself is quite suspicious of ruining a person's life.