I am not sure about it. It is rather a theoretical idea of mine. Everyone knows, that mass increases when a spaceship gets more near to the speed of light. Thats from Einsteins relativity theory. At leasts this aspect is always used to explain why it is impossible to reach speed of light: Because your spaceship will show more and more inertia because of increased mass.
So maybe it could be possiblehttps://en.wikipedia.org/wiki/Mass_in_special_relativity#The_relativistic_mass_concept
In the linked wikipedia section about relativistic mass they also denote that nowadays the term "relativistic mass" isn't welcome by some physicists. It is stated that people may thend to placebelieve that increased velocity (or charge) causes a change of internal structure. Which is not the case in my model either. I build my idea upon the fact that a body becomes more and more heavy to accelerate as it reaches speed of light.
The idea is:
Place a solid ring below the mentioned carpet. The ring should rotate almost at the speed of light. First this would stabilize your ship and second the mass rotating at that very high speed would be that heavy that it generates enough gravitational force to act as articificial gravity for your travelers.
I am not sure about this use of relativity. Maybe I am getting it wrong. Is it known whether an object having its outside rotating almost at the speed of light seems to increase it's mass (and thus gravity) from a non-moving observer??
Of course you would have to find a materials which can take the high forces being caused by centripedal force on the disc.
I already tought a lot about this and if this maybe is even the reason why any particles are showing mass at all. Think of a proton having some quarks in it which oscillate at such a high frequency (and speed) that they are "relatively" heavy and cause gravity.
Thus mass would be a result of moving materia (particles).