very very interesting idea op, and very very interesting and insightful comment wild!
this sort of topic intrigues me very much, and so i very gladly will try to join this discussion with my limited knowledge (due to my bad memory problems making me forget things even though i might be very interested in them).
I was thinking about the sun (and moon i would suppose?) problem - of how it would work to actually have it gravitate around the earth, in this scenario with all points up ahead given. and although this might be going in from a wrong end, it is a way to perhaps start thinking about the path to a solution, perhaps.
(note:) Not perhaps the greatest idea, but thought i might share it to keep the discussion going (and - i love talking about and exploring these ideas and would love to assist).
so considering if the sun (and moon) are actual intelligent beings; perhaps that also means that they are not purely made out of the same matter as stars, or what have you.
like, there are tons of variation on what The Ancient Ones believed or mused what the sun might be, or might be symbolized as. and even, current ideas spread around romanticizing the idea; a gargantuan sapphic goddess made out of pure warmth, floating around the earth, lovingly spreading life and health to all the creatures of this earth?
or is perhaps the sun still a floating orb of fire, that connects fueling burning hatred inside one ascended mortal who now controls the sun at their whim? ruling with an 100000 degree iron fist by threat of impending blight to scorch previously thriving forests and farms into deserted wastelands?
i don't know. but - my point being this: depending on what the sun is and what it is made of - physics will act accordingly. or rather, according to whatever rules you will make.
but. physics is a hard thing to really have stapled down in "Yes, this would work" since - well - if it is talking about things that just, wouldn't work with our, the current understanding of physics, things can get rather confusing and convoluted, to say the least.
but there's so much things we also don't know. for example, might go on of a bit of a stretch here, but things even the most educated don't know much about: magnetic fields. how do they work. "how do they play in to this?" you might ask a physics professor. they might just say "i have no idea, no one does." and laugh. and cry.
another example that might be more to the point:
dark matter. what, the fuck, how.. so how do we - yes.
what i mean with bringing this up - there are a lot of things that can change up a situation Grandly. change it up into a way that we, in our current state of things, can not really grasp.
there are a lot of things we have no idea about. science, is a lot and lot of speculation.
few things are set, as things change the more and more we learn!
so basically: if you want to make a world that is flat, the sun gravitates around it, and there is an orb of stars around it (and gosh knows what is beyond that) - that makes for another playing field.
if you wanna rationalize it - going in from the "how does our physics even work?" when they might not ever apply - it might be going from the wrong foot, or feet?
it's a great idea to learn about physics in general, and all things world-building, of course, to build a whole new universe, or whatever one might call it.
but remember: this is a whole new thing you're creating. a new world unlike our world. and it is wonderful, and you have a LOT of planning, and writing down, and thinking, and pondering, and tearing your hair out of your skull to do - if you want to do it like you're thinking. and your thinking is great. and it will be amazing.
maybe an idea would be to look at it from another point of view than the "this is the general 'how-it-works' of our world." maybe look into the stranger things we don't quite understand or have an explanation for?
search around information for really, what did those old ancient astronomers think? and what do you want to make out of what they think? and what you want to make? think about that - and go from that - perhaps?
again - great great discussion and idea. sorry for this mess above, i am not sure whether it was useful or interesting even, at all, to be honest haha.
but anyway, good luck on everything, am looking forward to seeing more.