Diebuster
I salute you and your deeds as well Nono. You're a good member of team visor.
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--Note: The following contains spoilers for both Diebuster as well as Gunbuster. Read at your own discretion!--
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Recently I just watched through all six episodes/OVAs of Diebuster and I think one should look at it on its own merits but with it also being linked to Gunbuster, then it's natural to bring up some comparisons between the two works.
One thing that readily came to mind to me in that regard was the topic of time dilation. With the earlier work not only having it present but going so far as to have it as a major theme or point in regards to its story and its effect on the characters, it was kind of strange then how the later work pretty much ignores it. In Gunbuster you had characters going out to the other planets and years worth of time was seemingly lost to them when compared to the characters on Earth. In Diebuster you have characters hopping from planet to planet and even beyond without any apparent effects. Even the giant space monster at the end that was using a black hole as its energy source. It was so big that there would be a time dilation effect from one end of its body to the other but there's nothing of the sort there either.
On its own I think it works fine as it's pretty much like most other science fiction themed works that ignore that type of thing most likely for practicality and putting entertainment over reality. The way it so heavily factored into the first though I couldn't help but think of it. Not only that but the way Diebuster ties into Gunbuster right at the very end just made that caparison even more pronounced. There really isn't even any kind of mention or lamp-shading towards this and how it was seemingly overcome.
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Not a comparison between the works here but knowing what "being a Nonoriri" means now it seems there's some mixed messaging going on there perhaps. The idea of the Nonoriri was more that one can achieve anything they want through hard work, determination and guts. Nono even has her (rather actually awesome entrance in episode/OVA 4) where she mentions it was a mistake to look for a Gunbuster but rather should have seen the power of the Gunbuster within herself.
During the show however we see the human fleet a few times get beaten back and have to rely on the power of the Gunbusters or Nono. I wonder if the message was maybe more aimed at youth perhaps? That not humans in general but younger people are the ones who will prevail through this "hard work and guts"? You'll notice that the fleets are more manned by adults where the Gunbuster pilots are younger. There's even the plot point that it's only younger people who can pilot the Gunbusters and when you reach a certain age you can't pilot them anymore. This seems counter to the whole just keep going and believe in yourself type message. At the end Lal'C does pilot Dix-Neuf without her topless powers but at the same time she still needs to rely on the powers of an external Gunbuster to do anything.
Overall I still liked the show and would recommend it but these are just some of the thoughts that came to mind that I'd thought I'd discuss. Thanks for reading.