Many people still think that Gojo's Red, Blue, Purple and Infinity are seperate abilities and they differ in mechanism. 

Gege explicitly said that Gojo's Cursed technique is something that makes real the \*converging infinite series\*, however the converging infinite series involved in Gojo's Cursed technique is Fantasy and it includes something that doesn't originally exist in infinite series. 

ファンタジーで繰り返される足し算の中に

within the repeated addition carried out in a fantasy-like manner

本来ない0と0を分割した“何か”が含まれます。

includes a “something” obtained by dividing 0 and 0, which does not originally exist

だから無下限。

therefore, it is “Limitless/Without a lower bound/Limit.”

and that something is negative natural numbers, like -1 apples

Neutral Limiless: Infinity - Converging infinite series

Forward Rotation: Blue - Strengthened Converging infinite series by which Movement of space itself can be created, Convergence/Suction of space itself

この0を分割した何かのおかげで

“Thanks to this ‘something’ from dividing 0”

動いてるもんをゆっくりにするだけでなく

“Not only slowing down things that are moving”

モノを吸いこむ様な空間の動きが作れます

モノ = entities/things

吸いこむ様な = “as if sucking in”

空間の動き = “movement of space”

作れます = “can create”

空間の動き

の = possessive / “of”

Literally:

“movement of space”

Not:

空間での動き → “movement in space” 

 But:

空間の動き = space itself is moving / behaving dynamically

Correct strict translation

It can create movements of space itself that are like sucking objects in.

Why this matters

Not objects moving through space

Not forces acting within space

Instead:

Space itself is behaving—

like it is pulling things inward

One-line insight

It’s not motion inside space—space itself is what’s moving.

Reversed Rotation: Red - Diverging infinite series - Divergence/Expansion of Space itself. 

Colliding Limitless/Imaginary Technique: Purple - By collision of each infinities pushes out Imaginary mass (Not tachyon or physics imaginary mass but conceptual and not physically real and provisional) at the target. 

Imaginary mass in JJK is defined as Overwhelming mass to a degree that it literally cannot be contained within the intension and extension of concept of target itself not just target but the concept what defines the target, 

it's stronger than existence erasure. 

The concept of the target is inseparable from the target itself, and since the imposed imaginary mass cannot be contained within the intension or extension of that concept, the framework that constitutes the target cannot exist in that state, and therefore the target cannot exist as itself under that condition.

Existence erasure removes you from the set—this makes it impossible for you to belong to the set at all.

術式対象の

概念……………!!

その内包と

外延に

ほど収まらない程の

圧倒的質量!!!

“The concept of the technique’s target…!! An overwhelming mass that cannot be contained within its intension and extension!!!”

durability is meaningless and Sukuna survived it via cursed energy reinforcement and canonically cursed energy reinforcement can block cursed energy related attacks so Cursed energy reinforcement users have resistance but not guaranteed survival and also sukuna said if purple hits at that distance it would be fatal even with cursed energy reinforcement and also Against Toji who is the one of the only two people who has 0 cursed energy no cursed energy reinforcement Purple deleted his major part of chest, his raw durability is meaningless without cursed energy reinforcement. 

Gojo doesn't have seperate abilities, all are extensions of His Cursed technique and Reversal.