Alchemy Principles of Type-Moon World

——When he observed the magic field as a whole, the decoherence effect that had been ineffective was restored at this moment, and the cat box was opened by Xing Qingqi.

Schrödinger's cat died in its cat box, its corpse lying quietly before Xing Qingjiu, awaiting his dissection. Structures that once existed only at the microscopic level were now magnified to a degree sufficient for observation. In his eyes, the entire magical field of Kyoto unfolded like a vast pattern, every node and every line clearly visible before him.

The relationship between spirits and magic fields, or in other words, the analytical solution to the spirit field, was finally in his hands.

It was no longer the numerical solution of the past, nor was it the special solution that only existed under extreme conditions. However, when he subconsciously processed the original function, he discovered a strange problem -

—— The imaginary units that were supposed to be used to assist in calculations could not be eliminated, and the meaning of the imaginary numbers left in the formula was incomprehensible.

Imaginary numbers are widely used in electrical phase calculations and quantum mechanics operations, but they are often used to describe physical quantities such as "rotation" or "phase" and do not appear as an actual numerical quantity.

But the "equation" at hand—no, to be more precise, it's an identity, like the Schrödinger equation. It doesn't impose any constraints. In other words, it's true at all times, not an equation in the general sense.

In mathematical terms, an equation is an equation that holds true only under certain conditions. Solving an equation means finding the conditions under which the equation holds true. Therefore, mathematically speaking, the equation Xing Qingfeng listed, like the Schrödinger equation, is not an equation but an identity.

The identity does not need to be solved.

The conclusion given by the spirit-body identity does not come from solving mathematical equations, but from physical requirements.

By restricting the form of the wave function based on physical requirements, we obtain a set of wave functions (basis) that meet the requirements, namely the eigenwave function. Any spirit can be composed of any combination of the basis of this system.

Therein lies the problem: no matter how much we simplify the quantity of spirits, we cannot escape the existence of imaginary numbers. We are clearly starting from the requirements of physics, but we have arrived at a solution that seems purely mathematical.

This is simply telling Xing Qingjiu that imaginary numbers have practical meaning. It is a...

...physical quantity.

"This is impossible... Did I calculate wrong?" Xing Qingfeng muttered to himself in disbelief. "Imaginary numbers are physical quantities? They can be observed, measured, and manipulated?"

"…it's a 'quantifiable' property? Huh?"

Xing Qingfeng's impression is that even quantum mechanics, which makes extensive use of imaginary numbers for calculations, doesn't have such absurdities. Even after it was proven that quantum mechanics cannot be described without imaginary numbers, it still doesn't treat them as physical quantities.

If this is true...

Xing Qingyu understood why Schrödinger insisted on putting things in front of him in this way.

"No, it requires actual practice... What I see before me is just an identity equation of quantitative relations. Imaginary numbers are not necessarily physical quantities..."

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The truth of the world is revealed to the protagonist once again, but he is not very willing to accept it yet. This is also a kind of knowledge barrier (laughs)

For the Type-Moon that actually exists in the imaginary space, the ridiculous setting that imaginary numbers are physical quantities seems to have become more reasonable (boo). However, what it actually corresponds to will be explained later on the nature of magic.

In summary, the research line of this volume has been completed.

The above is a new book by a new author. Please vote and give me feedback. Thank you!

Volume 35: The Quiet Kyoto Holy Grail War: . The Wisdom of the Poor

A chill wind raged through the silent Kyoto night. Dark clouds enveloped the sky like an invisible hand, nearly bearing down on everyone's heads. In the distance, the light above Nijo Castle shattered the oppressive darkness. Its dazzling glow, like the aurora borealis, illuminated the entire city. It was so brilliant, like a giant colored ball spinning in the center of a nightclub's dance floor, practically announcing its presence to the entire city.

The streets of Kyoto were dead silent, with only the occasional whisper of a spirit echoing on the wind. No snow fell, only the cold air that cut through the skin like a knife.

"Master, can you still hold on?" Karna waved his hand, and the several spirits that had just appeared disappeared into the air, like smoke blown away by a strong wind.

"I still have plenty of magic power. I'm fine. Keep going." Sharma sat in a wheelchair, his face slightly pale. He raised his hand to wipe the sweat from his forehead. The sweat quickly evaporated in the cold wind, taking away some of the heat. "Find the culprit as soon as possible."

"Such a large-scale spiritual uprising... not only seriously violates the first principles of mysticism, but also disregards the lives of ordinary people."

"We have to catch that magician as soon as possible." He gripped the armrests of the wheelchair tightly, his knuckles turning white from the force.

Karna and Sharma were heading to Nijo Castle without stopping for a simple reason.

A strange light emanated from the sky above Nijo Castle, a dazzling array of colors. Like the aurora, it moved across the overcast night sky, refracting a strange brilliance between the clouds. This light wasn't hidden; on the contrary, it was so dazzling that it could be seen clearly throughout Kyoto.

Sharma felt like the word "bait" was written all over his face, but he couldn't find any other evidence. The only clue at the moment was the glow on Nijo Castle.

However, since it is a bait, there must be a fishing line connecting the bait to its owner.

Sharma has great faith in Karna's strength. The moment a fish bites the bait, a struggle between the fish and the fisherman begins. If the fisherman's strength is not as great as the fish's—

——It’s not impossible to be dragged into this.

Just as Sharma was thinking, a unified roar came from the street ahead:

"Kill you, bastard!"*4

Four red-armored soldiers in crimson armor rushed out from the shadows in unison, their blades waving in unison, flashing with cold light, and rushed straight towards Karna.

They shouted in unison, drew their swords in unison—

Karna frowned. He was reluctant to fight these Red Guards, who were, after all, maintaining order and trying to limit the spread of spirits. However, upon seeing him, the Red Guards attacked without hesitation, forcing him to engage.

—They were pierced uniformly by Karna’s spear!

The long spear shot out like a flame, instantly piercing through the chest of the Red Guards. The four neatly arranged Red Guards were pierced almost at the same time, leaving them without any resistance.

However, even if you kill these armored warriors, they seem to repair themselves after a period of time.

I always feel that it is similar to the black spirit a few days ago.

Karna slowly sheathed his spear and casually cleared away a few wandering spirits. The remaining magical fluctuations on the spear blade had not yet completely dissipated. He walked behind Sharma and gently pushed the wheelchair.

"Master, didn't the guardian of the Holy Grail War give you a bottle of elixir?" Karna's voice was filled with concern. His eyes fell on Sharma, who was sitting in a wheelchair.

"...No rush, I can still hold on." Sharma sat in a wheelchair, his expression calm but unable to conceal his fatigue. He raised his eyelids, took a deep breath and said.

Karna's brow furrowed slightly, but he didn't stop walking. He glanced at Sharma, but said nothing more, simply holding his spear steady at his side. "You are practicing pure penance," he said softly, his tone devoid of any rebuke, simply stating an unchangeable fact.

“…” Sharma chuckled and closed his eyes, as if trying to gather his thoughts. Then he slowly spoke, “Karna, the way you speak is really annoying.”

"You've said this many times." Karna pushed the wheelchair, his tone still tepid. "Although the way I said it may be a little problematic, I didn't say it wrong."

"Ah..." Sharma sighed deeply, his eyes still closed. "I understand what you're trying to say, but you'd better be more clear."

The two continued walking along the quiet street, their footsteps echoing in the stillness of the night. Occasionally, a few dead leaves were picked up by the wind and twirled back to the roadside. The sky in the distance remained gloomy, the brilliance of Nijo Castle flickering in and out, and the entire world seemed shrouded in a sense of oppressive foreboding.

"The motivations of ascetics are mostly divided into two categories, and they are almost completely opposite." His voice was low and slow, drifting in the air with the wind. "Some ascetics believe that the suffering in this world is fixed, and if they endure more, others will suffer less."

Sharma did not respond, but just listened quietly.

"And some ascetics practice asceticism simply to pray for blessings from the gods and gain power."

"For others and for oneself, these are two almost completely opposite motivations—"

“—But these motivations have achieved a certain unity in you.” Karna gently pushed the wheelchair. “You are simply the perfect ascetic.”

Sharma heard this and pulled at his facial muscles, forcing a smile. He opened his eyes and said with a hint of self-mockery:

"Can I take it you're mocking me?"

"You are well aware that you cannot change the power of the caste system," Karna continued walking slowly. "So, you force yourself like an ascetic, praying for strength."

"You believe that the karmic retribution of this world should be settled in this lifetime." Karna's voice remained steady. "As long as we persist in judging sinners according to the law, the sins of this world will eventually be settled. Your asceticism carries all these hopes and wishes."

With that, he casually swung his spear. The blade sliced through the air, sending gusts of wind roaring through the streets like thunder. Wherever the spear pointed, wandering spirits vanished in an instant. "Through penance, place your hopes on the great god's blessing, and through penance, pray for the reckoning of the world's sins."

"But the Age of Gods has receded, and the world has since returned to mortals." Karna sighed softly, "To fully avenge the world's sins, perhaps humans must become gods."

"Thus, the sorrow of two kinds of penance befell you at the same time."

“You are well aware of your own powerlessness, and well aware that the sins of this world cannot be completely cleared up by the law.” Karna spoke as slowly as possible, slowly pushing Sharma forward.

He tried his best to give his Master a chance to breathe, and finish what he hadn't been able to say these days.

——He always had a premonition that tonight would be the final night of the Holy Grail War, and he might not be able to achieve victory for his Master.

Not far ahead, four red-armored soldiers suddenly emerged from the street corner in unison, blocking the two men in a uniform formation. But Karna didn't stop. He moved the spear in his hand slightly, and a faint light shone from the tip.

"You're a little wrong," Sharma sighed softly. After thinking for a moment, he smiled self-deprecatingly, "I did gain some strength."

"Yes," Karna swung his spear lightly, and the blade flashed across the night sky like lightning, effortlessly piercing the bodies of the four Red Guards in an instant, like a flash of light tearing through the air. "You have gained the strength and courage to face reality."

The Red Army fell in unison, falling silently to the ground like puppets with their strings cut, and silence returned to the darkness.

"Even if this power is nothing but a mirage," Sharma uttered these words slowly, lying on the wheelchair as if all his strength had been drained away.

He opened his eyes and gazed through the overcast sky at the ethereal starry sky. "You know, even though the Age of Gods has ended, religion in India is still thriving."

"It takes courage to face the harsh reality," Sharma said. "It's very brave and exhausting to stay aware and angry."

"I can't resist the cruel reality, and I'm powerless to stop my anger. In the face of an irresistible trend, my own powerlessness seems even more futile." He gently gripped the armrests of his wheelchair. "If I don't have any spiritual support, I will eventually be defeated by pessimism and disappointment."

"Of course I understand what you're talking about. I'm practicing asceticism, that's true." Sharma's lips curled up slightly, a bitter smile on his face. "If I stop practicing asceticism, the power it brings will vanish. Then, I'll either become indifferent or become numb and depressed due to the resentment in my heart."

The night wind blew gently across the street, carrying away Sharma's voice but not the heaviness in his heart.

"After all, the Age of Gods has retreated, and no one can bless me." He turned his head and looked at Karna. "Tell me, why is this happening?"

Karna did not stop but said softly, “Because you are a Brahmin.”

"Because I am a Brahmin?"

"Because you have always been a Brahmin."

"Ugh……"

Sharma sighed deeply upon hearing this. The two of them fell silent again, leaving only the night wind still whistling in their ears. Their feelings had already been conveyed to each other, and what remained was an unspoken understanding.

Karna continued to push Sharma forward, his steps still steady, his spear hanging at his side, faintly flashing with a faint light.

"Are you still unwilling to use the elixir?" Karna suddenly asked, his voice still gentle and concerned.

"No rush," Sharma replied. He took a deep breath and his tone softened a little. "There's no need to take care of me like this. Just go over there quickly—"

"—When the time comes for you to truly unleash your strength, I won't hold you back."

The two continued on their way, the darkness deepening. The streets of Kyoto seemed especially dim under the starless, moonless sky. Ancient buildings lining the road stood silently in the cold wind, their black tiles and white walls like faint silhouettes in the dim light. In the distance, a paper lantern occasionally emitted a faint orange glow, but this warmth was quickly swallowed up by the night.

A dull atmosphere hung in the air, and a low rumbling sound could be heard in the distance. Karna's eyes were alert, and he raised his spear slightly. The residual magical energy on the blade emitted a faint glow.

Sharma sat quietly in the wheelchair, his fingers unconsciously stroking the armrests, his eyes half closed, as if thinking about something.

The night is getting colder." Sharma whispered, his voice almost drowned out by the wind.

"By the way, why did you respond to the call in the first place?" Sharma seemed to feel that the atmosphere was too cold, so he found another topic and asked casually.

Karna's hands were still pushing the wheelchair steadily, his steps never stopping. The night wind blew gently against his armor, making a slight sound of metal friction.

“Because you are a Brahmin.”

"Huh..." Sharma sighed, and as if hoping for an answer, his tone was filled with anticipation. "Is there no other reason?"

Karna didn't answer immediately. All around him was so quiet that only the sound of the wind and footsteps could be heard.

After a long while, Karna slowly shook his head. Sharma could not see his movements.

But silence itself is the answer.

"Is it because of my wishful thinking that I summoned you?"

“I will not refuse a Brahmin’s request.”

"Is that so?" Sharma's hands tightened slightly on the armrests, then relaxed. After a moment's silence, he spoke again, "Tell me, if I, like you said, abandoned my caste and traveled the land alone... would it be better?"

Karna's hands, pushing the wheelchair, paused for a moment, and then he calmly replied, "I don't want you to do this. You are already practicing austerities, so why add more suffering to yourself?"

"If I do this, and I abandon the Brahmin caste, if I still have the opportunity to summon a Servant—"

"—Will you still answer the call?"

“I will respond to all who seek and need my power,” Karna responded. “Besides, you can’t easily get rid of caste.”

"It belongs to you by nature. If you want to reject this Brahmin identity, you will surely have to endure much more suffering than you have now."

"Hahahaha—" Sharma suddenly burst into a hearty laugh, which seemed a little abrupt in the dark street. "Really? I understand."

"Don't walk so slowly," he turned around, the same smile still on his face, "get ready for a quick fight."

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I hope the dialogue isn't too riddle-like, but I think it captures the characters' thoughts and the commonalities between the master and servant. I wonder what you all think of it.

The above is a new book by a new author. Please vote and give me feedback. Thank you!

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By the way, recommend this book:

It seems to be infinite flow, Zongman

"To get home, I can even get the Star Cup!"

Volume 36: The Kyoto Holy Grail War Without a Nagging Message: . The Death of Tokugawa Ieyasu

Inside Nijo Castle, within the Ninomaru Palace, candlelight flickered in the gloom, casting faint shadows and light. The low-hanging curtains trembled slightly in the breeze, shrouding the entire hall like a veil, making the already heavy atmosphere seem even more oppressive. Tokugawa Ieyasu sat cross-legged in the hall, his gaze fixed on the altar before him. His eyes were fixed on something on the altar: the Noble Phantasm he currently "held," the Chakravartin.