I'd like to see
Greg Egan's Orthogonal trilogy adapted into an anime.
The setting is a universe with an alternate law of physics whose consequences include that
¥ light of different colours travels at different speeds and there is no maximum speed of light¥ liquids largely don't exist as a state of matter, they're all explosively unstable¥ temperature acts weirdly (I didn't quite understand it from the books and Greg's website but it seems like the characters use gases as a way to dump arbitrarily high amounts of heat energy from their bodies)¥ the direction of the arrow of time is determined by local conditions (entropy I guess) and in the greater 4-dimensional universe, the worldlines of objects can go in any direction. You can be hit by a tiny meteorite whose worldline is perpendicular to yours, which you will experience as something traveling infinitely fast, punching a great hole through your stuff and massively damaging it¥ related to the above, it's possible for time-reversed matter to interact with ordinary matter and both see time running backwards (e.g. objects reforming from a broken state) for the otherand more.
The consequence of the alternate physics most important to the plot is that it is possible for a spacecraft to accelerate away from a planet so that it is travelling infinitely fast, i.e. 'sideways' in 4D space relative to that planet, then turn around and return, such that a short time passes for the planet's inhabitants but many generations pass on the spacecraft. (In our universe, it's the other way around, a lot of time can pass for Earth but the spacecraft ages less)
The plot is a multi-generational drama centered on precisely such a spacecraft, which the inhabitants of the planet built to buy time against a world-ending catastrophe.
Now, a problem I have with Greg Egan's books is that I never really like the characters, I'm only there for the math and physics. The characters tend to be annoying, unlikeable 'Young Adult protagonist' snarkers, and I never care about their stupid emotional problems. The plots mostly aren't interesting to me (Orthogonal's plot is one of his better ones, he successfully portrays the epic scope of t
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