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Empathetic Resistance is simple : Sorcerers gain power from negative emotions. They control this "power"(which is CE). Todo states that angering an opponent can amp them, and can also nerf them.These I don't understand
More anger that can be controlled - more CE - more power
However anger can also make you mishandle CE, which is the opposite of an amp
Jujutsu sorcerers constantly have to take CE from emotions, and have to control it, without said emotions ruining their state of mind or CE manipulation
That is the entire point of the Movie training where you are subjected to various emotions, but still have to control your CE properly.
This is a spoiler ig so im not gonna say much, but Yuji gets filled with rage during the Hanami fight and Todo slaps him so that he can regain CE control
After this he performs a high CE manip technique which requires immense concentration and CE control, which makes it safe to assume he "supressed" his emotions
As for Conceptual Manipulation, I already posted what infinity is and how it works. It makes an infinite distance, which makes slows down objects that touch it.
To be fair I dont completely understand the Conceptual part, but its stated in the math lecture that Gojo can somewhat control distance :
I saw an another translation which translates it as :: Let’s think that we live in a world where Gojo does dx of 1 m ruler length between him and his enemy, causing this ruler to be distorted, and it turns to be ds. From his point of view, because of this distorted ruler, for example 10 m can become |ds| = 1 depending on the location.
T: I see! So, based on this, even if someone runs 10 m, it would look like they only advance forward “1”.
H: Exactly. Like this, the range is getting longer and longer.
T: I’m certain that by doing this, then it will look like they forever can’t reach him.
H: On top of that, by using his technique, Gojo can make the distance per unit when (someone) getting near to him feels like it becomes larger.
I believe thats conceptual manip. Tho you should ask someone like Dr.Whitee for a better explanation.Takano: Since the discussion became difficult, let's sort this out. Does it mean that Gojo can manipulate the concept of 'nearby' and 'far'? Or he can 'alter' the 'distance feeling' of his enemy? For example, even though they are separated by 100m, he can make the enemy feel they are 'very close'. On the contrary, 1m will be felt 'far' by controlling the phase.
Sonoda: Yes, in an infinite space, that can happen.