The green text says this: 

"The idea is "the universes are always branching, and progressing simultaneously at the same time where people cannot recognize it". In another name, parallel universes. Appeared in the play as a chain of universes born at the moment of recognition. The best trap that the Anti-Spiral has set up. Trapped in the space of your own recognition, you will never be able to return to your original universe."

(이때 당시엔 다원우주미궁이 환상인지 진짜우주인지 확정이 안났었는데 작가 인터뷰집으로 진짜 우주라는 걸 증명함)

And "Multiverse" in context means an 11-D space since, in an interview with Nakashima, the writer of Gurren Lagann series, he said that Multiverse for him means an 11-Dimensional space.

그리고 문맥상 "멀티버스"는  그렌라간 시리즈의 작가 나카시마와의 인터뷰에서 그는 "멀티버스는 11차원 공간을 의미한다"고 말했다.

"Ninja Batman" is a so-called "time thing" in which Batman is transported to the Warring States period. In Japanese anime, there's a restriction that if you change the past, the present will change, and I think people tend to be very cautious when it comes to time-altering things. You don't worry about that kind of thing, and you go out on a limb.

Nakajima: That's because it's American comics. The world setting of the multi-verse, or a universe full of universes, permeates the readership of American comics. And now, the time-modifying stuff is going to be the multiverse stuff, right? There's a whole universe of all kinds of possibilities, so no matter what you do, you're like, "Oh, that universe!" (laughs). The interpretation of the multiverse has advanced so rapidly in the last few decades that when we were children, it was only four-dimensional, but now it is said to be eleven-dimensional. Our job is to tell lies, so we take those theories and twist them into something interesting.

(대략 요약하자면 인터뷰집에서 작가 스스로 자신이 생각하고 설정한 다중우주는 11차원이라는 것)

In short, the Infinite Multiversal Labyrinth is not an illusion, but an actual multiverse that is made of multiverses for any possibility, making it a multiverse composed of infinite 11-D universes since "multiverse" for WoG means an 11-D universe.

한마디로 무한다중미로는 환상이 아니라 가능성을 다중으로 만들어진 실제 다중우주로, WoG(작가와의 인터뷰의"the writer of Gurren Lagann series"의 약자) 에서 설명되는 '멀티버스'는 11차원 우주를 의미하기 때문에 무한한 11차원 우주들로 구성된 다중우주가 된다.