"I believe that for a spell to exert its power, at least two conditions are necessary."
"First is magical power. Without magic, a person is a Muggle, and an animal without magic is just an ordinary animal. With magical power, a wizard becomes a wizard, and a magical creature becomes magical."
"Magical power is like a privilege, a key that directs the collapse of wave functions."
"Second is the will. A wizard must have a clear imagination of the desired effect and sufficient confidence and motivation to realize it. In the world of magic, consciousness determines matter. Without the push of will, matter follows its natural course, and a spell played from a recording will have no effect."
"Based on this hypothesis, to explain the different affinities wizards have for different spells, I introduced a third hypothesis."
"The Multi-Dimensional Magical Power Hypothesis."
"Suppose magical power has multiple dimensions, and each dimension has many levels or tiers, represented by certain values. Each wizard's magical power has different levels in these dimensions."
"I analyzed all spells and roughly divided magical power into six dimensions: Creation, Protection, Mind, Transformation, Energy Shaping, and Manipulation. This six-dimensional analysis is still imperfect, but it can categorize almost all spells into one or more of these six elements."
"When the elemental composition of a spell matches a wizard's magical power dimensions, the compatibility is high, making the spell easier to cast. Conversely, a large disparity in dimensions makes it harder to cast the spell."
"Lastly, to address why the same wizard casting the same spell can have varying powers, I introduced a fourth hypothesis."
"The Will's Guidance Hypothesis."
"To cast a spell, besides magical power, will's guidance is needed to give direction to the collapse of the wave function, providing a specific imagination of the spell's effect."
"For example, with the Levitation Charm, at least the wizard has a mental expectation of the concept of levitation. Similarly, with a Transformation Spell, if a wizard wants to turn a cup into a mouse, they should at least know what a mouse looks like. For someone who has never seen a mouse, they absolutely cannot complete such a transformation."
"This means imagination is based on our knowledge of things."
"Our knowledge of an object can be divided into many layers. One is sensory knowledge, like an apple being red, sweet, and edible. Then there's rational knowledge, like fire being a chemical reaction, its color related to the elements of the reactants, and the flame test being the physical process of outer electrons gaining and losing energy and releasing photons."
"Theoretically, the more comprehensive our knowledge of something, the easier it is to imagine, guiding magical power to form a phenomenon more swiftly and stably. Consequently, the stronger the magic."
"Based on these four hypotheses, we can infer several ways to enhance the power of a spell."
"First, make the spell align more with natural laws."
"For example, creating a cup of water by condensing water vapor is much simpler than generating hydrogen and oxygen atoms from nothing and making them combine into water."
"Second, enhance the level of magical power in various dimensions."
"The level of multi-dimensional magical power roughly equates to a wizard's talent."
"Changing talent is difficult, but Andrew's Pathway of Transformation might help."
"Third, strengthen the will's guidance."
"For example, practicing a spell more often can strengthen sensory knowledge of that spell."
"Also, understanding the principles behind a spell and the physical phenomena it invokes can enhance imagination of the spell's mechanics. For instance, knowledge of aerodynamics can certainly help with Levitation and Flying Charms. A deeper understanding of a mouse's anatomical structure can certainly help transform a cup into a mouse."
"In fact, almost all human knowledge is useful to wizards. Even fields like philosophy and economics, which seem unrelated to magic, can help wizards better integrate certain phenomena, understand principles from different angles and levels, and broaden their thinking patterns and pathways."
Murphy understood, "You mean, the more accurate and comprehensive our understanding of the world, the more knowledge we have, the stronger the related spells will be?"
"Yes," Haldan said. "In fact, regarding the mechanism of spells, I have another immature conjecture."
"I think that spells might be a wishing system."
"Oh? How so?" This was the first time Murphy had heard such a theory.
"It's simple to realize that when wizards cast spells, their imagination of the spell's effects is very vague and general."
"For example, using Transfiguration to turn a cup into a mouse. Wizards might think about the size, gender, color of the mouse, but they definitely haven't envisioned its exact weight, age, the length of its tail, how many hairs it has, how many bones, what its heart looks like, etc."
"Yet, when Transfiguration turns out the mouse, these features are all present."
"It's not 'some mouse' but 'this particular mouse'."
"Many uncertainties are eliminated, and its wave function collapses to a very narrow range of values."
"So, how is this collapse achieved? How are the details, which wizards haven't imagined or even lack in their knowledge structure, filled in?"
"I think there must be something that makes decisions for the wizard."
"It decides whether Reducto splits a piece of paper into four or five pieces; it decides the sequence of movements for Alohomora to unlock a lock; it decides whether the path shown by Point Me is the shortest or the fastest..."
"This possibly existing entity that oversees the specific execution of all magic, I call it 'The Magic Network'."
"The process of casting spells by wizards can be seen as making wishes to the Magic Network."
"When a wizard's wish is unclear, the Magic Network will act on its own. The more precise the wizard's imagination and the more limitations imposed, the more likely they are to get the desired result."
Murphy frowned, feeling a familiar sensation.
This was similar to the "spells" he used to communicate with large models before his transmigration!
Could this so-called "Magic Network" be a neural network-based large model? A deep learning AI?
So, spells are like a combination of keywords?
And these keywords might not even be preset by the "Magic Network," but rather, they are learned by the "Magic Network" through thousands of iterations of machine learning as predecessor wizards repeatedly imagined specific magical effects while reciting a spell.
Hisss...
The logic seems very consistent!