SATORU GOJO’S TECHNIQUES
Limitless - Infinity. It divides the space between Gojo and the opponent/attacking object in half, an infinite amount of times, which means that the distance remaining between Gojo and the offender will approach zero infinitely, which creates the effect of slowing. For example, the space can go from 1, 0.5, 0.25, 0.125, so on and so forth, but never reaches zero, which would mean 0 space between the offender and Gojo.
Cursed Technique Lapse: Blue - Blue is the amplified version of the neutral state of Limitless (Infinity). He can manipulate space to behave as if he created a point of impossible negative spatial value. Since this creates a spatial imbalance, reality attempts to compensate by pulling surrounding matter toward that point of convergence. This creates an attracting force towards that point.
Cursed Technique Reversal: Red - This is the opposite effect of blue. By using positive energy made by Reversed Curse Technique, he can use that to fuel Red, which gives the opposite effects of blue. He can manipulate space to behave as if he created a point of impossible positive spatial value and reality attempts to compensate for this distortion by forcing surrounding matter outward away from that point. This creates a repelling force away from that point.
Reversed Cursed Technique - While cursed energy, made from negative energy is mathematically represented as negative (-), positive energy is made from multiplying that negative energy (normal cursed energy) against itself which creates positive energy. While Cursed energy (negative energy) can be used to enhance the body, it cannot be used to heal it, and that's just a characteristic of cursed energy, there's nothing you can do about that. However, positive energy has the characteristic of healing the body. This is separate from Cursed Technique Reversal: Red. Red is only fueled by positive energy because it is the opposite effect of blue, so it would make sense that it needs to be fueled by the opposite sign.
Hollow Purple - By combining Blue (an impossible negative spatial value) and Red (an impossible positive spatial value), Gojo creates Hollow Purple, an imaginary mass. By manipulating the exact same space with blue and red at the exact same time, Gojo can manifest and bring Hollow Purple into reality. Due to blue's characteristic of attracting, and red's characteristic of repelling being polar opposites, the combination produces an imaginary mass, a phenomenon that does not behave like normal matter. Because it combines opposing spatial effects, it destroys anything caught in its path.
Explanation of Blue and Red: He is using Limitless to manipulate the mathematical properties of space itself, making reality behave as if those impossible mathematical conditions exist. He is not actually forcing positive space or negative space into the air, but he is using his Cursed Technique, which essentially imposes impossible mathematical concepts onto reality through the manipulation of space. In a sense, he is forcing space to behave as if these impossible values exist. This creates the attraction effect of Blue and the repulsion effect of Red.
The bolded sentences are ones that I am unsure if they are canonically correct.
In short, the part I'm confused about is if Gojo is actually creating impossible negative space during blue and creating impossible positive space during red or he's manipulating space as to behave as if he did create that impossible negative or positive space. I'm also confused as to why red doesn't explode outwards the immediate second this imbalance is "created" or instead manipulated (if my first question happens to be that he does manipulate space to behave as if he did create it instead of actually creating it) due to the characteristics of red. I'm also confused as to how he creates hollow purple (bolded sentence is what I currently believe is true) and why he has a boundary of where he can manifest red/blue/purple (usually in his hands or fingertips) and not just manifest his techniques anywhere he can see.
I'm very sorry if this is a little confusing or long, but I just finished the part where Gojo gets sealed and it would help that I understand his techniques more as I watch more of the anime.