I am writing a story with where the main character discovers this ship traveling to Alpha Centauri because our solar system has been devoured by a black hole. Although I know that a sci-fi can't completely adhere to real science, I would like as much of this ship to be based as much in real science as possible. What parts of this ship design are unrealistic? This ship is based on the Caplan Thruster. The center sphere (yellow) is what's left of our sun after the black hole. The pink shape is the Caplan Thruster. The purple rings are based on the Shkadov Thruster but instead of being the main proponent of thrust, are used to angle all the sunlight around the sun back to the point where the Caplan thruster pulls Hydrogen/Helium from the sun (to heat the surface and push Hydrogen/Helium up into the Caplan Thruster). The orange ring is the control ring that rotates and uses powered moving mirrors to:
helps reflect the light reflected from the front of the sun to the mirrors at the back of the sun (where the Caplan Thruster is) uses those same powered mirrors to reflect some of the light back to the mirror rings (both the front and back) at differing intensities based on their location to push the mirror rings towards the direction the ship wants to turn in (since the control ring rotates, the mirrors that is reflecting the most back to the mirror rings are constantly changing, but the location of the mirror that is currently reflecting the most does not (like the lights used on the this drone to indicate the forward direction here https://www.youtube.com/watch?v=taU7mRTnrtY starting at 2:53 in video)) The blue ring is the actual living area for humans and is like a Halo ring. It is fully enclosed but has ring wide windows facing the sun (but with polarized films to not let too much sunlight in) and rotates along with the control ring (orange) so that the living area ring (blue) maintains earth-like gravity. Of course, there are also plants and animals everywhere in there and the whole inside looks like a slice of Earth with woods, forest, suburbs, cities, farms, ect.
This ship also has a self-sustaining water and oxygen cycle. The sun shining through the ceiling windows heats up the lakes and streams, evaporating the water, where the water then goes up to the glass ceiling where it condenses and rains back down (to keep the rainfall and sunlight diffuse, the ceiling windows have transparent cones all over the inside surface, scattering the sunlight and making sure the condensed water doesn't all run down to the edges of the living area and cause flooding at the edges).
Is there any part of this that doesn't line up with science? Or is there anything missing?