First, the scene itself. Splitting the blackhole causes the swartzenchild radius to fall apart and expose the naked singularity, which could lead to a second Big Bang. Nono then takes the naked singularity away to the multi-dimensional space
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In an interview from the DVD booklet, it mentions that they tried to depict the cosmic censorship hypothesis (and have an endnote to the scientific description of such), says that Nono seems to have already experienced her and Lal'C seeing the skylarks, so that she and Lal'C may indeed see the skylarks together at some point in the future.
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Diebuster! DVD booklet said:
-The cosmic censor scene was powerful.
KT:
We visually depicted the cosmic censorship hypothesis* (laughs). The content described appears to be like Nono's wish, and as it is told as though real, it can also appear as if Nono may have already experienced this. Nono vanishes beyond the gravitational singularity and goes beyond time. Thus in the near future, or the far, far future, Nono and Lal'C may go to see skylarks together.

*Cosmic censorship hypothesis
A theory that a "naked singularity" could hypothetically exist, but that it will be found to be forbidden by some physical law, as though someone is censoring it. Proposed by Roger Penrose (born August 6, 1931).
Later on the same page, for another question, Kazuya Tsurumaki says that Nono watches over time for eternity.
Diebuster! DVD booklet said:
-The content of the final episode matched the title.
KT:
It was me who recommended that work to Mr. Anno, saying it was interesting. People who have read ait may understand this, but the story of Gunbuster 2 is a little close to that work. Nono who watches over time for eternity and Lal'C growing old. I can't say they are similar, but thematically, they are close.
This would mean that Nono exists outside and beyond time, and can seemingly perceive events in a non-linear manner, as well as the scientific concepts of the naked singularity and cosmic censorship being researched.
Earlier from this same booklet, it points out the singularity has infinite mass and zero volume.
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Diebuster! DVD booklet said:
From the center of a black hole singularity - where mass becomes infinite and volume becomes zero - to a certain spherical distance (the Schwartzschild radius), the escape velocity is faster than light.
Nono holds the naked singularity in her hands, and even just one hand.
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This is not new information; it's been around for a few years. But I looked for Diebuster! interviews, and found this;
http://www.style.fm/as/13_special/mini_070130a.shtml
小黒 最終回に出ていた「多元宇宙内 時空検閲官の部屋」って、SFに詳しい人にはすぐピンとくるものなんですか。
鶴巻 分からないでしょうね(笑)。
佐藤 公式ページにブラックホール講座がありますので、ご覧ください(笑)。
鶴巻 SFっていうのは、一般の人には全く興味のない事なんです。『フリクリ』のファンに、「SFの部分はあんまり興味ない、むしろなくてもいいです」みたいに言われて、がっくりくるんだけど(笑)。ただ、ドラマにSF的な部分をガッツリかませようとすると、その事に時間を取られちゃうので、それをどうするかは悩む部分です。「多元宇宙ナントカ」みたいのは、それこそテロップ1枚入れればいいだけだから、説明する手間をかけずにSFを描ける、という事ではありますね。
Oguro: Is the "Space-Time Censor's Room in the Multiverse" ," which appeared in the final episode, is a pin for those who are familiar with SF (science fiction)?

Tsurumaki: They wouldn't understand it (laughs).

Sato: There is a black hole course on the official page, so please take a look (laughs).

Tsurumaki: SF (science fiction) is something that the general public is not interested in at all. I'm disappointed when the fans of "FLCL" say to me, "I'm not interested in SF (science fiction) part, I don't need it" (laughs). But if we try to cover a lot of SF (science fiction) in the drama, it takes up a lot of time, so it's a problem for me to decide what to do about it. In the case of "Multiverse Nantoka/Nantka" all you have to do is put a single caption, so you can draw SF (science fiction) without having to explain it.
m going to try get this properly translated by a human and not just a machine, but from what I can see of it? "Multi-dimensional space" is a mistranslation of "multiverse" (this happens quite a bit with translation; "multi-dimensional labyrinth" in Gurren Lagann really translates to "Multiversal Labyrinth"). So Nono has taken the naked singularity from the universe into the further multiverse.

A previous interview (or part of this interview), says that the last episode is developed on the universe scale, but is concentrated on Lal'C's story (once again, I'll need to get a proper translation of this).
http://www.style.fm/as/13_special/mini_070129a.shtml
小黒 最終回は宇宙スケールで展開しているのに、ラルク個人の話に集約されているじゃないですか。これは元々の狙いなんですか。 鶴巻 最終的には、榎戸さんがそういう流れを作ったという感じです。僕のプロットでは、そこまで個人的なものにはなっていなかったとも思う。例えば、冒頭の長老の人達とラルクが会話するシーンで「地球を犠牲にしてもいいのか?」と長老が言うと、ラルクが「人類を救うためにはそれしかない」と答える。あそこは、(プロットでは)もっと大局的にものを見ているラルクだったと思います。
Oguro The last episode is being developed on the universe scale, but it is concentrated on Lark's personal story. Is this the original aim? Tsurumaki  Ultimately, I feel that Mr. Enokido made such a flow. I don't think my plot was so personal. For example, in the scene where Lark talks to the elders at the beginning, when the elder says, "Can I sacrifice the earth?" Lark replied, "There is no other way to save humanity." I think there was Lark looking at things more broadly (on the plot).
And if all of that isn't enough? The when talking about the potential to use a blackhole as a fuel source, the science lesson says that the singularity at the central mass of a blackhole is infinite.
ブラックホールの中心部に近づくと、理論上、質量は無限大に増大します。このため、物質はブラックホールの事象の地平線の向こう側に消えてなくなる前に、自らの重さで崩壊することになります。
さらに、小型のブラックホールの場合には、それよりも前に、巨大な潮汐力がかかり、落ちていった物質は引きちぎられてしまいます。

この力を利用しようというのが、ブラックホール発電です。ブラックホールは何でもかんでも吸い込んでしまって外には吐きだしたりしないので、その吸い込む力をうまく利用すれば、エネルギーを取り出すことができるというわけです。

この理屈を現実世界にたとえると、ちょうど水力発電機がダムに溜めた水を流すことによって重力エネルギーを電気エネルギーに変換しているように、ブラックホールに物質を投げ込むことによって重力エネルギーを電気エネルギーに変換するのです。
もっとも、そのための装置をどうするかが問題なのですが…。

とはいえ、ブラックホールの質量は、その中心である特異点では無限大であり、その重力勾配はものすごく大きいため、そこから得られるエネルギーも水力発電の比ではないと考えられています。うまく制御できれば、ブラックホールは格好のエネルギー源となりうるのです。

ちなみに、自然に存在する回転するブラックホールは、その周辺に電磁場が発生するのですが、物質を吸い込むことによってその電磁場が変動し、発電しているものも実際に存在するらしいです。

Theoretically, the mass increases to infinity as we approach the center of the black hole. As a result, matter will collapse under its own weight before it disappears beyond the horizon of the black hole event.
Moreover, in the case of a small black hole, a huge tidal force is applied before that, and the fallen material is torn off. Black hole power generation is

trying to utilize this power . A black hole sucks in anything and does not spit it out, so if you make good use of that sucking power, you can extract energy. If you compare this theory to the real world, just as a hydroelectric generator converts gravitational energy into electrical energy by flowing water stored in a dam, gravitational energy is converted into electrical energy by throwing substances into a black hole. Convert. However, the problem is what to do with the equipment for that purpose ... However, the mass of a black hole is infinite at its central singularity, and its gravitational gradient is so great that the energy obtained from it is not considered to be comparable to hydropower. With good control, black holes can be a great source of energy. By the way, an electromagnetic field is generated around a naturally existing rotating black hole, but it seems that there are actually some that generate electricity because the electromagnetic field fluctuates by sucking in substances.


It then goes on to say that as the Naked Singularity has infinite mass but zero volume, it's impossible for a naked singularity to exist in realspace. The event horizon is therefore, censoring the singularity. It also says that as the Universe originated from a singularity, the singularity could be a source for a new universe. It also says there's a theory that the singularity is ring-shaped, and beyond it is another universe. Ergo, getting passed the censorship and exposing the naked singularity could allow for travel to another universe.
ブラックホールに吸い込まれ、事象の地平線を越えてしまった物質は、二度と外に出られません。では、もしその物質がブラックホールの高重力に押しつぶされないままだったら、いったいどこにたどり着くのでしょうか?

第1回の解説では、ブラックホールの中心には特異点と呼ばれる体積0、密度無限大の領域が存在するという話をしました。 だとすれば、破壊されないまま事象の地平線を突破することができれば、その物質は特異点にたどり着くはずです。

問題は、特異点はあくまで計算によって得られた理論上の存在で、体積はないくせに密度は無限大という、現実の世界には存在しえないだろうという点です。 逆に言うと、だからこそ、事象の地平線が存在し、我々の目から特異点が見えないようにできているという考え方もできます。

イギリスの物理学者ロジャー・ペンローズによれば、特異点は自然界では存在しえないため、事象の地平線に覆われていない「裸の特異点」が現れないような仕組みになっているというのです。宇宙が特異点の露出を検閲しているみたいだということで、ペンローズはこれを「宇宙検閲官仮説」と呼んでいます。

一方でペンローズは、同じく物理学者のスティーヴン・ホーキングとともに、相対性理論に従えばこの宇宙は特異点から始まったということを数学的に証明しています。すなわち、特異点こそは新しい宇宙の源なのです。
また、回転するブラックホールの場合は、特異点はリング状になっており、その向こう側には、まったく異なる宇宙が広がっているという説もあります。

つまり、宇宙による検閲を回避してこの特異点をむき出しにしてしまうことができれば、別の宇宙への通路として使うことも、もしくは新たな宇宙の創造さえも可能になるかもしれないのです。

Substances that have been sucked into a black hole and crossed the event horizon will never be able to leave. So where would the substance end up if it remained uncrushed by the high gravity of a black hole?

In the first commentary, I talked about the existence of a region called a singularity with a volume of 0 and an infinite density at the center of a black hole. If so, if we can break through the event horizon without being destroyed, the substance should reach a singularity.

The problem is that the singularity is a theoretical existence obtained by calculation, and although it has no volume, its density is infinite, which cannot exist in the real world. Conversely, that is why we can think that the event horizon exists and that the singularity is hidden from our eyes.

According to British physicist Roger Penrose, singularities cannot exist in nature, so the mechanism is such that "naked singularities" that are not covered by the event horizon do not appear. Penrose calls this the "Cosmic Censor Hypothesis" because the universe seems to be censoring the exposure of singularities .

On the other hand, Penrose, along with physicist Stephen Hawking, mathematically proves that the universe started from a singularity according to the theory of relativity. In other words, the singularity is the source of the new universe .
There is also a theory that in the case of a rotating black hole, the singularity is ring-shaped, and beyond that, a completely different universe extends.

In other words, if we can avoid censorship by the universe and expose this singularity, it may be possible to use it as a passage to another universe, or even create a new universe.

Summerizing the applications of a singularity engine, it's stated that time travel, an incredible amount of energy generation, inter-universe travel and even creating a universe are all ways in which the power of a blackhole can be exploited. It concludes by saying the Exelio Variable Gravity Well is thought to be able to freely manipulate the blackhole in its body, and by doing such, it's possible that the Excelio Variable Gravity Well may be able to destroy the entire universe instead of creating a new one.
ここまで述べてきた様に、ブラックホールの性質を利用することで、

(1)未来行きのタイムマシン
(2)超大出力発電機
(3)別の宇宙への脱出路もしくは別宇宙の創生


といったことが可能となります。

「トップをねらえ2!」に登場する変動重力源は、その体内にブラックホールを持っており、その能力を自在に操ることができると考えられています。とすれば、(1)や(2)といったことはもちろん、最悪の場合(3)という使い方で、新たな宇宙を生み出す代わりにこの宇宙全体を破壊することも可能かもしれません。

つまり、この変動重力源は数こそ1体ではあるが、その力はまさに全宇宙をも破壊しつくし得るほど強大であり、過去の宇宙怪獣とは比べものにならないくらい危険な敵なのです。
As has been described so far, by utilizing the properties of the black hole,

(1) the future bound for Time Machine
(2) ultra-high-output generator
(3) escape path or another universe of creation to another universe


, such as It will be possible.

The fluctuating gravity source that appears in "Aim for the Top 2!" Has a black hole in its body, and it is thought that its ability can be freely manipulated. If so, it may be possible to destroy the entire universe instead of creating a new universe by using (1) and (2) as well as (3) in the worst case.

In other words, although the number of this fluctuating gravity source is one, its power is so powerful that it can destroy the entire universe, and it is a dangerous enemy that is incomparable to the past space monsters.

Aim For The Top 2! The Perfect Book also states that Nono prevented the collapse of the universe, and watches over from the eternal flow of time.
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However, the aftermath of that power causes the blackhole to crack. The uncontrolled crisis that shakes the universe was sealed by the Space-Time Inspection. In the endless flow of time, Nono was returned to this world and became a light.
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(Relevant text)
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As if to protect the collapse of the universe, she embraced the "unusual situation" and disappeared. And Nono disappeared. She leaves behind an eternal friendship with Lal'C and a thoughtful "singularity". The catastrophe was stopped. Giant red hands are important
So to sum up, Nono and Buster Machine #19 splitting the Excelio Variable Gravity Well's blackhole caused the blackhole to fall apart and expose the Naked Singularity, which would have lead to another Big Bang that would have destroyed the Universe and created another. Nono censors the singularity, holds the infinite mass zero volume singularity in her hands, and takes it beyond the universe into the further multiverse, where she transcends time and watches over it for eternity.

And for the cherry on top, Nono seems to have some kind of intangibility in this form too, and can still control physics through pure maths.