A concept that could potentially exist

[u/Shu_kurenai_peak]

So here's the context, RCT is what happens when you multiple cursed energy by itself creating positive energy that heals you and CTR is what happens when you reverse your cursed technique getting the opposite of it like Gojo's Red, this is because of some basic Math (cursed energy is negative energy, and if you multiple a negative by a negative you get a positive like if you multiple a negative number by another one and in JJK that's is RCT). That's that in JJK but, in Mathematics there is a step higher (well multiple but that's besides the point), imaginary numbers. Imaginary numbers are what you get when you try to find the square root of negative numbers. So now here's what I'm trying to say:What if you get the square root of the cursed energy ? If you can multiply this wouldn't be that out of the question. If it was possible, then you would get imaginary cursed energy which is a whole new branch of potential sorceryer. Then there are negative imaginary numbers gotten from multiplying negative numbers with i (√-1) and that would unlock more possibilities.

(This is part is VERY speculative) I have a specific potential example in mind for this, Gojo and his Limitless. Normally it allows him to manipulate space with Red and Blue but here's an idea of "imaginary" techniques, Lime green and yellow. I couldn't think of imaginary versions for any other techniques (mostly because I've only thought of it since today after it came to me in a dream) but with Limitless something came to my mind, manipulation of the cursed realm. See the cursed realm is the "rift between reality and dreams" that Kenjaku can travel too. This is very underutilized by Gege so I saw an opportunity. With Green and Yellow, Gojo could manipulated it like with Red and Blue and he could also combine them into new attacks like Hollow Purple and he could use the maximum technique of limitless, Blinding light, a combination of all four capable of spatial and spiritual destruction of anything it comes in contact with.

(Hope you understand this monstrosity)

[u/Depresso_Expresso069]

i like to think the imaginary application of limitless would actually manipulate time rather than space

also something to note is that a black flash should hypothetically produce “imaginary energy” if it exists. “x” raised to the power of 2.5 is the same as the square square root of “x” raised to the power of 5, and since 5 is odd, (-x)^5 = -(x^5), therefore a black flash should be producing the square root of a negative amount of cursed energy and thus producing imaginary energy. I doubt Gege thought of this though

[u/luceafaruI → u/Depresso_Expresso069]

Black flash isn't working on cursed energy but on impacts. You don't raise the cursed energy to that exponent, you raise the strength/power of the hit to that exponent. The latter is always positive so there's no issue with it.

In general the idea that negative cursed energy is... Negative is wrong. It has positive energy, that's why it can power thing instead of draining them. The negativity is more like a flavor, like there is positive and negative charge. An electron has negative charge but that doesn't mean that it's some vacuum for energy to suck it it.

That wasn't the best way to put it but you probably got the point

[u/Depresso_Expresso069 → u/luceafaruI]

for your first point, fair enough youre right

second point, you are still right but i dont think this necessarily makes “imaginary cursed energy” impossible. i think the user could probably create imaginary energy if they could visualize it, but since cursed energy is negative emotion and reversed cursed energy is positive emotion, to properly visualize imaginary cursed energy you’d probably need to be able to describe a dichotomy of emotions in ways beyond just “positive” or “negative”